axiom-databases 20140801-6 / usr / share / axiom-20140801 / algebra / operation.daase

(1566386 . 3623156796)       
(((*1 *2 *3 *4 *4 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|Record| (|:| |lcmfij| *6) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *4) (|:| |polj| *4))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|PolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *5 *6 *7 *4))))) 
(((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|PartialDifferentialRing| *5)) (|isDomain| *1 (|MultiVariableCalculusFunctions| *5 *2 *3 *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|))))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *1 *2 *3) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|OrderedFreeMonoid| *4)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *1 (|XFreeAlgebra| *4 *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Stream| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3 *2 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|List| (|DistributedMultivariatePolynomial| *5 *6))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|DistributedMultivariatePolynomial| *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *1 (|LinGroebnerPackage| *5 *6))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|TheSymbolTable|)) (|isDomain| *3 (|Symbol|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|Union| "prime" "polynomial" "normal" "cyclic"))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Stream| *3))) (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|InfiniteTuple| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OrderedCompletion| (|Float|))) (|isDomain| *2 (|OrderedCompletion| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|IntegerNumberSystem|)) (|isDomain| *1 (|IntegerCombinatoricFunctions| *2))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerRoots| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Mapping| *2 (|NonNegativeInteger|) (|NonNegativeInteger|) *7)) (|isDomain| *4 (|Vector| *7)) (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|Vector| (|SparseUnivariatePolynomial| *2))) (|ofCategory| *7 (|AbelianMonoidRing| *2 *5)) (|ofCategory| *2 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *1 (|FractionFreeFastGaussian| *2 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Vector| *4))) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|RepresentationPackage2| *4))))) 
(((*1 *2 *3 *3 *4 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| *7)) (|isDomain| *5 (|List| (|List| *8))) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|EuclideanDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|PolynomialCategory| *8 *6 *7)) (|isDomain| *2 (|Record| (|:| |unitPart| *9) (|:| |suPart| (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| *9)) (|:| |exponent| (|Integer|))))))) (|isDomain| *1 (|MultivariateSquareFree| *6 *7 *8 *9)) (|isDomain| *3 (|SparseUnivariatePolynomial| *9))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Any|)) (|isDomain| *1 (|AnyFunctions1| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| (|Float|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Float|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Float|)))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Float|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Float|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Integer|)))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 (|List| *2)) (|ofType| *4 (|List| *2)) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| *5)) (|ofCategory| *5 (|FortranMachineTypeCategory|)) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|Fraction| (|Polynomial| (|Float|))))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|Polynomial| (|Integer|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|Polynomial| (|Float|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|Expression| (|Integer|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|Expression| (|Float|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Integer|)))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Float|)))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| (|Float|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Integer|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Float|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Fraction| (|Polynomial| (|Integer|))))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Fraction| (|Polynomial| (|Float|))))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Polynomial| (|Integer|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Polynomial| (|Float|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Expression| (|Integer|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Expression| (|Float|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|MyUnivariatePolynomial| *3 *4))) (|isDomain| *1 (|MyExpression| *3 *4)) (|ofType| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Union| (|:| |nia| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |mdnia| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))))) (|isDomain| *1 (|NumericalIntegrationProblem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|NottinghamGroup| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *1 (|NumericalODEProblem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Union| (|:| |noa| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|:| |lsa| (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))))) (|isDomain| *1 (|NumericalOptimizationProblem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) (|isDomain| *1 (|NumericalPDEProblem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RetractableTo| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (OR (AND (|isDomain| *2 (|Polynomial| *3)) (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))) (|not| (|ofCategory| *3 (|Algebra| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))) (AND (|isDomain| *2 (|Polynomial| *3)) (AND (|not| (|ofCategory| *3 (|IntegerNumberSystem|))) (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|Algebra| (|Integer|))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))) (AND (|isDomain| *2 (|Polynomial| *3)) (AND (|not| (|ofCategory| *3 (|QuotientFieldCategory| (|Integer|)))) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))))) ((*1 *1 *2) (OR (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|Algebra| (|Integer|))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))) (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|)))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| *3) (|:| |xpnt| (|Integer|))))) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *3))) (|isDomain| *1 (|ChineseRemainderToolsForIntegralBases| *3 *5 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|AlgFactor| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|AlgebraicNumber|))))) ((*1 *2 *3 *1) (AND (|isDomain| *2 (|Record| (|:| |less| (|BinarySearchTree| *3)) (|:| |greater| (|BinarySearchTree| *3)))) (|isDomain| *1 (|BinarySearchTree| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|DivisorCategory| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|IntegrationResult| *4)) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedFunctionSpace| *3) (|TranscendentalFunctionCategory|))) (|ofCategory| *3 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|IntegrationResultToFunction| *3 *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|IntegrationResult| (|Fraction| (|Polynomial| *3)))) (|ofCategory| *3 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|IntegrationResultRFToFunction| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *3 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |normal| *3) (|:| |special| *3))) (|isDomain| *1 (|MonomialExtensionTools| *5 *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|List| (|List| (|Matrix| *5)))) (|isDomain| *1 (|RepresentationPackage2| *5)) (|isDomain| *3 (|List| (|Matrix| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Vector| (|Vector| *5))) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|List| (|List| (|Matrix| *5)))) (|isDomain| *1 (|RepresentationPackage2| *5)) (|isDomain| *3 (|List| (|Matrix| *5))))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|CharacterClass|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|StringAggregate|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Character|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|StringAggregate|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|FreeModuleCat| *3 *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|MonoidRing| *3 *4))) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PackageForPoly| *4 *3 *5 *6)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LaurentPolynomial| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Stream| (|Integer|))) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Complex| (|Expression| *4))) (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *4)))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Complex| *3)) (|isDomain| *1 (|TrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *3 *4 *4 *5 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *3 (|Union| (|Fraction| (|Polynomial| *6)) (|SuchThat| (|Symbol|) (|Polynomial| *6)))) (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|List| (|Matrix| (|Fraction| (|Polynomial| *6))))) (|isDomain| *1 (|EigenPackage| *6)) (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| *6)))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| *5)) (|SuchThat| (|Symbol|) (|Polynomial| *5)))) (|:| |eigmult| (|NonNegativeInteger|)) (|:| |eigvec| (|List| *4)))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|List| (|Matrix| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|EigenPackage| *5)) (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| *5))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|d03AgentsPackage|))))) 
(((*1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|DivisionRing|)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Group|)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Monoid|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|SemiGroup|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|DoubleFloat|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Integer|)) (|isDomain| *1 (|GaloisGroupUtilities| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|String|)) (|ofCategory| *1 (|FileCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DesingTree| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DesingTree| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InfClsPt| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InfClsPt| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InfinitlyClosePoint| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|isDomain| *1 (|InfinitlyClosePoint| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|PseudoAlgebraicClosureOfAlgExtOfRationalNumber| *3)) (|ofType| *3 (|PseudoAlgebraicClosureOfRationalNumber|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|PseudoAlgebraicClosureOfFiniteField| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|OutputForm|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|PseudoAlgebraicClosureOfRationalNumber|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Stack| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RetractableTo| (|Integer|))) (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| A (|Matrix| *5)) (|:| |eqs| (|List| (|Record| (|:| C (|Matrix| *5)) (|:| |g| (|Vector| *5)) (|:| |eq| *6) (|:| |rh| *5)))))) (|isDomain| *1 (|SystemODESolver| *5 *6)) (|isDomain| *3 (|Matrix| *5)) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|isDomain| *2 (|Record| (|:| |mat| (|Matrix| *6)) (|:| |vec| (|Vector| *5)))) (|isDomain| *1 (|SystemODESolver| *5 *6)) (|isDomain| *3 (|Matrix| *6)) (|isDomain| *4 (|Vector| *5))))) 
(((*1 *2 *3 *4 *4 *4 *3 *3 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Record| (|:| |num| (|Pattern| *3)) (|:| |den| (|Pattern| *3)))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 *2)) (|ofType| *6 *2) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *3 *5 *6)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *3 *2 *4 *5)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *3 *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|PositiveInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|PositiveInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| *3)))) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Polynomial| *4))) (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *1 (|PolyGroebner| *4))))) 
(((*1 *2 *1 *3 *3 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Mapping| *6 (|NonNegativeInteger|) (|Vector| (|SparseUnivariatePolynomial| *6)))) (|isDomain| *5 (|List| (|NonNegativeInteger|))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *2 (|Matrix| (|SparseUnivariatePolynomial| *6))) (|isDomain| *1 (|FractionFreeFastGaussian| *6 *7)) (|ofCategory| *7 (|AbelianMonoidRing| *6 (|NonNegativeInteger|)))))) 
(((*1 *1 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *2 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *1 (|FractionFreeFastGaussian| *2 *4)) (|ofCategory| *4 (|AbelianMonoidRing| *2 *3))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldSquareFreeDecomposition| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|isDomain| *4 (|OneDimensionalArray| *6)) (|ofCategory| *6 (|Type|)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|OneDimensionalArray| *5)) (|isDomain| *1 (|OneDimensionalArrayFunctions2| *6 *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *5 *7 *5)) (|isDomain| *4 (|DirectProduct| *6 *7)) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *7 (|Type|)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|DirectProduct| *6 *5)) (|isDomain| *1 (|DirectProductFunctions2| *6 *7 *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|ofCategory| *6 (|Type|)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|FiniteLinearAggregate| *5)) (|isDomain| *1 (|FiniteLinearAggregateFunctions2| *6 *4 *5 *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|FiniteSetAggregate| *5)) (|isDomain| *1 (|FiniteSetAggregateFunctions2| *6 *4 *5 *2)) (|ofCategory| *4 (|FiniteSetAggregate| *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|isDomain| *4 (|List| *6)) (|ofCategory| *6 (|Type|)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|ListFunctions2| *6 *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|isDomain| *4 (|PrimitiveArray| *6)) (|ofCategory| *6 (|Type|)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|PrimitiveArray| *5)) (|isDomain| *1 (|PrimitiveArrayFunctions2| *6 *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Mapping| *3 *6 *3)) (|isDomain| *5 (|Stream| *6)) (|ofCategory| *6 (|Type|)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|StreamFunctions2| *6 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|isDomain| *4 (|Vector| *6)) (|ofCategory| *6 (|Type|)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|Vector| *5)) (|isDomain| *1 (|VectorFunctions2| *6 *5))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|Vector| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|)))) ((*1 *2 *3 *2 *4) (AND (|isDomain| *2 (|Vector| (|Integer|))) (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|TriangularMatrixOperations| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *3 (|Point| *4)) (|ofCategory| *1 (|ThreeSpaceCategory| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Point| (|DoubleFloat|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| *3 *4)) (|isDomain| *1 (|MappingPackage2| *4 *3)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|IndexedBits| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|FunctionFieldCategory| *2 *3 *4)) (|ofCategory| *2 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|GcdDomain|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|PolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *2 *2 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|SubResultantPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|RectangularMatrix| *3 *4 *5)) (|ofType| *3 (|NonNegativeInteger|)) (|ofType| *4 (|NonNegativeInteger|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|PAdicIntegerCategory| *4))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |lcmfij| *3) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *6) (|:| |polj| *6)))) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|PolynomialCategory| *4 *3 *5)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *3 *5 *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Mapping| (|Void|) (|SExpression|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AxiomServer|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|CharacteristicZero|)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|FortranScalarType|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|SimpleFortranProgram| *5 *4)) (|ofCategory| *4 (|FunctionSpace| *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *4 (|Field|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |f1| (|List| *4)) (|:| |f2| (|List| (|List| (|List| *4)))) (|:| |f3| (|List| (|List| *4))) (|:| |f4| (|List| (|List| (|List| *4)))))) (|isDomain| *1 (|TableauxBumpers| *4)) (|isDomain| *3 (|List| (|List| (|List| *4))))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1 *1) (|partial| AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Mapping| *6 (|List| *6))) (|isDomain| *1 (|UTSodetools| *4 *5 *3 *6)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|ofCategory| *6 (|UnivariateTaylorSeriesCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)))) ((*1 *1) (|ofCategory| *1 (|Finite|))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)))) ((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *1 *1) (|isDomain| *1 (|Integer|))) ((*1 *1 *1) (|isDomain| *1 (|NonNegativeInteger|))) ((*1 *2 *1) (AND (|isDomain| *2 (|Permutation| *3)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Permutation| *4)) (|isDomain| *1 (|PermutationGroup| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegerNumberSystem|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Set| (|Symbol|))) (|isDomain| *1 (|ApplicationProgramInterface|)) (|isDomain| *3 (|Symbol|))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LyndonWord| *3))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *1) (|ofCategory| *1 (|StepThrough|)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Complex| (|Float|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|MachineComplex|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|MachineInteger|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|MachineFloat|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1) (|isDomain| *1 (|FortranCode|)))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedField|) (|FunctionSpace| *4))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|isDomain| *1 (|AlgebraicIntegrate| *4 *5 *6 *7 *2)) (|ofCategory| *2 (|FunctionFieldCategory| *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|InnerNumericEigenPackage| *4 *5 *6)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)) (|isDomain| *3 (|DoubleFloat|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|MachineFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *2 (|Fraction| (|Integer|)))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|SingleInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *3 *4 *5 *6) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *6 (|List| (|Kernel| *3))) (|isDomain| *5 (|Kernel| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *7))) (|ofCategory| *7 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |ratpart| *3) (|:| |coeff| *3))) (|isDomain| *1 (|ElementaryIntegration| *7 *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))) (|isDomain| *2 (|List| (|List| (|Equation| (|Polynomial| (|Complex| *4)))))) (|isDomain| *1 (|FloatingComplexPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))))) (|isDomain| *2 (|List| (|List| (|Equation| (|Polynomial| (|Complex| *4)))))) (|isDomain| *1 (|FloatingComplexPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) (|isDomain| *2 (|List| (|Equation| (|Polynomial| (|Complex| *4))))) (|isDomain| *1 (|FloatingComplexPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))) (|isDomain| *2 (|List| (|Equation| (|Polynomial| (|Complex| *4))))) (|isDomain| *1 (|FloatingComplexPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *1 (|BasicOperatorFunctions1| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |lm| (|FreeMonoid| *3)) (|:| |mm| (|FreeMonoid| *3)) (|:| |rm| (|FreeMonoid| *3)))) (|isDomain| *1 (|FreeMonoid| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |lm| (|OrderedFreeMonoid| *3)) (|:| |mm| (|OrderedFreeMonoid| *3)) (|:| |rm| (|OrderedFreeMonoid| *3)))) (|isDomain| *1 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *3 *3 *4 *4 *3 *3 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Float|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|XPolynomialRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedMonoid|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ApplicationProgramInterface|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |resultantReduit| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *2 *3 *4 *3 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|Field|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|ofCategory| *9 (|LocalPowerSeriesCategory| *6)) (|isDomain| *2 (|List| *9)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *6 *7 *4 *8 *3 *9 *10)) (|ofCategory| *4 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *3 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *10 (|PlacesCategory| *6 *9))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DoubleFloat|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DoubleFloat|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|Float|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|Float|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|List| (|List| *4))) (|isDomain| *1 (|FunctionFieldCategory&| *3 *4 *5 *6)) (|ofCategory| *3 (|FunctionFieldCategory| *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *3 (|Finite|)) (|isDomain| *2 (|List| (|List| *3))))) ((*1 *2) (AND (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *7)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|ProjectivePlane| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|isDomain| *2 (|List| *8)) (|isDomain| *1 (|ProjectiveAlgebraicSetPackage| *5 *6 *3 *7 *8)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5))))) 
(((*1 *2 *1 *3 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5)) (|ofCategory| *2 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)))) ((*1 *2 *1 *3 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|EltableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|PrimitiveArray| (|ModMonic| *3 *4))) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Polynomial| *4))) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Polynomial| *3))))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *3)))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|ofCategory| *6 (|Field|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *9 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|isDomain| *2 (|Record| (|:| |mult| (|NonNegativeInteger|)) (|:| |subMult| (|NonNegativeInteger|)) (|:| |blUpRec| (|List| (|Record| (|:| |recTransStr| (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *6)) (|:| |recPoint| (|AffinePlane| *6)) (|:| |recChart| *5) (|:| |definingExtension| *6)))))) (|isDomain| *1 (|BlowUpPackage| *6 *7 *8 *9 *5)) (|isDomain| *3 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *6)) (|isDomain| *4 (|AffinePlane| *6)) (|ofCategory| *8 (|FiniteAbelianMonoidRing| *6 *9)) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|List| (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| *4)) (|SuchThat| (|Symbol|) (|Polynomial| *4)))) (|:| |eigmult| (|NonNegativeInteger|)) (|:| |eigvec| (|List| (|Matrix| (|Fraction| (|Polynomial| *4)))))))) (|isDomain| *1 (|EigenPackage| *4)) (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *4))))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *2 *2 *2 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))) (|isDomain| *1 (|ODEIntensityFunctionsTable|))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| *5)))) (|isDomain| *1 (|PrimitiveRatRicDE| *4 *5 *3 *6)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *5)))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Monad|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|MonadWithUnit|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *2 *3 *4 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|ofCategory| *6 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *5 *6))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|NumericalOptimizationCategory|)) (|isDomain| *3 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|isDomain| *2 (|Result|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|NumericalOptimizationCategory|)) (|isDomain| *3 (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) (|isDomain| *2 (|Result|))))) 
(((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *1) (|partial| |ofCategory| *1 (|IntegralDomain|))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *1) (|partial| |isDomain| *1 (|NonNegativeInteger|))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *4)))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *2 *5 *6)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *4 *2)) (|ofCategory| *6 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *2 *2) (|partial| AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *1 *2 *2 *1) (|partial| AND (|isDomain| *2 (|BasicStochasticDifferential|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|ProjectivePlane| *4)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|PseudoAlgebraicClosureOfFiniteField| *4))) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *4)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *4 (|Mapping| (|Boolean|) *2 *2)) (|isDomain| *1 (|UserDefinedPartialOrdering| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *2))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|TrigonometricFunctionCategory|)))) 
(((*1 *2 *3 *3 *3 *4 *3 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|PolynomialFactorizationByRecursionUnivariate| *4 *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| *5))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *2)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|MappingPackageInternalHacks1| *2))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Boolean|) (|BasicOperator|) (|BasicOperator|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |radval| (|Expression| (|Integer|))) (|:| |radmult| (|Integer|)) (|:| |radvect| (|List| (|Matrix| (|Expression| (|Integer|)))))))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Polynomial| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Polynomial| *4)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Polynomial| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Polynomial| *4))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Any|)) (|isDomain| *1 (|AnyFunctions1| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Polynomial| (|Float|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Float|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Float|)))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Float|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Float|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Integer|)))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 (|List| *2)) (|ofType| *4 (|List| *2)) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Expression| *5)) (|ofCategory| *5 (|FortranMachineTypeCategory|)) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Matrix| (|Fraction| (|Polynomial| (|Float|))))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Matrix| (|Polynomial| (|Integer|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Matrix| (|Polynomial| (|Float|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Matrix| (|Expression| (|Integer|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Matrix| (|Expression| (|Float|)))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Integer|)))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Float|)))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Polynomial| (|Float|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Expression| (|Integer|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Expression| (|Float|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Vector| (|Fraction| (|Polynomial| (|Integer|))))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Vector| (|Fraction| (|Polynomial| (|Float|))))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Vector| (|Polynomial| (|Integer|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Vector| (|Polynomial| (|Float|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Vector| (|Expression| (|Integer|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Vector| (|Expression| (|Float|)))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *5 (|FiniteAlgebraicExtensionField| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|NormRetractPackage| *4 *5 *6 *3 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *6)) (|ofType| *7 (|PositiveInteger|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|RetractableTo| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (|partial| OR (AND (|isDomain| *2 (|Polynomial| *3)) (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))) (|not| (|ofCategory| *3 (|Algebra| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))) (AND (|isDomain| *2 (|Polynomial| *3)) (AND (|not| (|ofCategory| *3 (|IntegerNumberSystem|))) (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|Algebra| (|Integer|))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))) (AND (|isDomain| *2 (|Polynomial| *3)) (AND (|not| (|ofCategory| *3 (|QuotientFieldCategory| (|Integer|)))) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))))) ((*1 *1 *2) (|partial| OR (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|Algebra| (|Integer|))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))) (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|)))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|isDomain| *1 (|d01AgentsPackage|))))) 
(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *2 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *1 (|FractionFreeFastGaussian| *2 *4)) (|ofCategory| *4 (|AbelianMonoidRing| *2 *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerRetractions| *3)) (|ofCategory| *3 (|RetractableTo| (|Integer|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|FiniteFieldCategory|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModMonic| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *4 *4 *5 *3 *3 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|FortranType|)) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *2 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DivisorCategory| *10)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *2 *11 *3 *12)) (|ofCategory| *3 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *2 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DivisorCategory| *9)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *2 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2) (AND (|isDomain| *2 (|Divisor| (|Places| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |k| (|OrderedFreeMonoid| *3)) (|:| |c| *4)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *5 (|List| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LeadingCoefDetermination| *6 *7 *3 *8)) (|ofCategory| *8 (|PolynomialCategory| *3 *7 *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *2)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *1 (|Collection| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| *4) (|:| |num| *4)))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|Boolean|)) (|isDomain| *1 (|FortranType|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *4 (|Boolean|)) (|isDomain| *1 (|FortranType|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|InfiniteTuple| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LieAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LiePolynomial| *3 *4)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LiePolynomial| *3 *4)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LiePolynomial| *3 *4)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| (|List| *3)))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *1 (|ModuleMonomial| *2 *3 *4)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|SetCategory|)) (|ofType| *4 (|Mapping| (|Boolean|) (|Record| (|:| |index| *2) (|:| |exponent| *3)) (|Record| (|:| |index| *2) (|:| |exponent| *3)))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| *4)))) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *3 *4)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|List| (|SplittingNode| *3 *5))) (|isDomain| *1 (|SplittingNode| *3 *5)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |val| *4) (|:| |tower| *5)))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|List| (|SplittingNode| *4 *5))) (|isDomain| *1 (|SplittingNode| *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |val| *3) (|:| |tower| *4))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingNode| *3 *4)))) ((*1 *1 *2 *3) (AND (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *1 *2 *3 *2 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|SplittingNode| *2 *3))) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *2 *3)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|SplittingTree| *2 *3))) (|isDomain| *1 (|SplittingTree| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *3 *4)))) ((*1 *1 *2 *3) (AND (|isDomain| *1 (|SuchThat| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *1) (|partial| AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *9)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *9)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|LinearlyExplicitRingOver| (|Integer|))) (|isDomain| *2 (|Vector| (|Integer|))) (|isDomain| *1 (|IntegerLinearDependence| *4))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|SquareMatrix| *3 *4)) (|ofType| *3 (|NonNegativeInteger|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Algebra| *2)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Asp12| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Asp29| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Asp33| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|FileName|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranPackage|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FortranProgramCategory|)) (|isDomain| *2 (|Void|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|OutputForm|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SpecialOutputPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SpecialOutputPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|OutputForm|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SpecialOutputPackage|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|BinarySearchTree| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *1 (|FourierSeries| *3 *2)) (|ofCategory| *3 (|Join| (|CommutativeRing|) (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *2 (|Join| (|OrderedSet|) (|AbelianGroup|)))))) 
(((*1 *2 *3 *4 *4 *5 *6) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *4 (|Palette|)) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *6 (|List| (|DrawOption|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|ViewportPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *4 (|List| (|DrawOption|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|ViewportPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|BinaryFile|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|CachableSet|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|ofCategory| *1 (|FiniteLinearAggregate| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *3 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|CharacterClass|)))) ((*1 *2 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|CombinatorialOpsCategory|)) (|isDomain| *2 (|Symbol|)))) ((*1 *1 *1) (|ofCategory| *1 (|CombinatorialOpsCategory|)))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *1 *1) (AND (|isDomain| *1 (|DeRhamComplex| *2 *3)) (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *3 (|List| (|Symbol|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Union| (|:| |noa| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|:| |lsa| (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FGLMIfCanPackage| *4 *5)) (|ofType| *5 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *5)))) (|ofCategory| *4 (|GcdDomain|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LexTriangularPackage| *4 *5))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Queue| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|ContinuedFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RealNumberSystem|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|BasicStochasticDifferential|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|StochasticDifferential| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *5)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|)))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|isDomain| *4 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *5 (|Field|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|InputForm|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *4 *3 *5)) (|ofCategory| *4 (|Type|)) (|ofCategory| *3 (|FiniteLinearAggregate| *4)) (|ofCategory| *5 (|FiniteLinearAggregate| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *5 *4 *4 *5 *5 *3 *4 *4 *6 *7) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp10| COEFFN)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp80| BDYVAL)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|)))) ((*1 *2 *3 *4 *4 *5 *4 *4 *5 *5 *3 *4 *4 *6 *7 *8 *8) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp10| COEFFN)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp80| BDYVAL)))) (|isDomain| *8 (|FileName|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *5)) (|ofCategory| *5 (|LinearlyExplicitRingOver| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LinearDependence| *4 *5))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|DictionaryOperations| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|ofCategory| *1 (|UnivariatePuiseuxSeriesCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Stream| (|Polynomial| *4)) (|Stream| (|Polynomial| *4)))) (|isDomain| *1 (|WeierstrassPreparation| *4)) (|ofCategory| *4 (|Field|))))) 
(((*1 *2 *3 *2 *3) (AND (|isDomain| *2 (|FortranType|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|FortranType|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *2 *4 *1) (AND (|isDomain| *2 (|FortranType|)) (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *2 *3 *1) (AND (|isDomain| *2 (|FortranType|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *2 *1) (AND (|isDomain| *2 (|FortranType|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|SymbolTable|)))) ((*1 *2 *3 *2 *1) (AND (|isDomain| *2 (|FortranType|)) (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|OrderedRing|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *5 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *2 (|Matrix| (|Expression| (|DoubleFloat|)))) (|isDomain| *1 (|d02AgentsPackage|)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|PartialDifferentialRing| *5)) (|isDomain| *2 (|Matrix| *6)) (|isDomain| *1 (|MultiVariableCalculusFunctions| *5 *6 *3 *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *6)) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|))))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *3 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |answer| *3) (|:| |polypart| *3))) (|isDomain| *1 (|TranscendentalIntegration| *5 *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *2 (|List| (|RewriteRule| *3 *4 *5))) (|isDomain| *1 (|Ruleset| *3 *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3))))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|FiniteFieldFactorization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|FiniteFieldFactorizationWithSizeParseBySideEffect| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|NonNegativeInteger|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|NonNegativeInteger|))) (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|RationalFactorize| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|UnivariateFactorize| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1) (|isDomain| *1 (|ODEIntensityFunctionsTable|)))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Complex| (|DoubleFloat|)))) (|isDomain| *1 (|ComplexDoubleFloatVector|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Vector| *3))))) 
(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1) (|isDomain| *1 (|TheSymbolTable|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|RetractableTo| (|Integer|))) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $)))))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Symbol|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *1 (|HeuGcd| *3))))) 
(((*1 *2 *3 *4 *5 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPolynomialRootsPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *2) (AND (|isDomain| *1 (|FourierComponent| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|TrigonometricFunctionCategory|)))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *2 *3 *4 *5)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|RecursivePolynomialCategory| *2 *3 *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *3 (|Mapping| *4 (|Integer|) (|Integer|))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *4 *5 *6)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| (|OutputForm|)))) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SquareMatrix| *3 *4)) (|isDomain| *1 (|QuadraticForm| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *5))) (|ofCategory| *5 (|Ring|)) (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|XPolynomialsCat| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|OrderedFreeMonoid| *3)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|OrderedMonoid|)) (|isDomain| *1 (|XPolynomialRing| *3 *2)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2 *1) (|partial| AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|EuclideanDomain|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *2 *3 *3 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3 *3) (AND (|isDomain| *2 (|List| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *2 (|Plot|)) (|isDomain| *1 (|PlotFunctions1| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *3 *4 *5) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *2 (|Plot|)) (|isDomain| *1 (|PlotFunctions1| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|)))) ((*1 *1 *2 *2 *2 *2 *3 *3 *3 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|)))) ((*1 *1 *2 *2 *2 *2 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *3 *4 *2 *5) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| (|Pattern| *6))) (|isDomain| *5 (|Mapping| (|PatternMatchResult| *6 *8) *8 (|Pattern| *6) (|PatternMatchResult| *6 *8))) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *8 (|Join| (|Ring|) (|ConvertibleTo| (|Pattern| *6)) (|RetractableTo| *7))) (|isDomain| *2 (|PatternMatchResult| *6 *8)) (|ofCategory| *7 (|Join| (|Ring|) (|OrderedSet|))) (|isDomain| *1 (|PatternMatchTools| *6 *7 *8))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|Expression| (|Fraction| (|Integer|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| *4) (|:| |degree| (|Integer|))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Union| "left" "center" "right" "vertical" "horizontal"))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *1) (|partial| AND (|ofCategory| *1 (|AssociationListAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Record| (|:| |key| *3) (|:| |entry| *4)))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|RightOpenIntervalRootCharacterization| (|RealClosure| *4) (|SparseUnivariatePolynomial| (|RealClosure| *4)))) (|isDomain| *3 (|OutputForm|)) (|isDomain| *1 (|RealClosure| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|) (|RealConstant|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *5)) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|InnerNumericFloatSolvePackage| *5 *6 *4)) (|ofCategory| *6 (|Field|)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Polynomial| *5)) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|InnerNumericFloatSolvePackage| *5 *6 *4)) (|ofCategory| *6 (|Field|)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|FractionalIdeal| *3 *4 *5 *6)) (|ofCategory| *6 (|RetractableTo| *4)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|FramedAlgebra| *4 *5)) (|ofType| *7 (|Vector| *6)) (|isDomain| *1 (|FramedModule| *3 *4 *5 *6 *7)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *6)) (|ofCategory| *6 (|FramedAlgebra| *4 *5)) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|FramedModule| *3 *4 *5 *6 *7)) (|ofType| *7 *2)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *6 *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6 *5 *4)) (|isDomain| *1 (|MappingPackage3| *4 *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|RationalRetractions| *3)) (|ofCategory| *3 (|RetractableTo| *2))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *2 (|PlacesCategory| *5 *8)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *5 *6 *4 *7 *3 *8 *2)) (|ofCategory| *4 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *3 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *5))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|ofCategory| *7 (|QuotientFieldCategory| *4)) (|ofCategory| *2 (|MatrixCategory| *7 *8 *9)) (|isDomain| *1 (|InnerMatrixQuotientFieldFunctions| *4 *5 *6 *3 *7 *8 *9 *2)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)) (|ofCategory| *8 (|FiniteLinearAggregate| *7)) (|ofCategory| *9 (|FiniteLinearAggregate| *7)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *2) (|partial| AND (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5)))) ((*1 *1 *1) (|partial| AND (|isDomain| *1 (|Matrix| *2)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|SquareMatrixCategory| *2 *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|DirectProductCategory| *2 *3)) (|ofCategory| *5 (|DirectProductCategory| *2 *3)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|TableauxBumpers| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Boolean|) (|BasicOperator|) (|BasicOperator|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Kernel| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|PureAlgebraicIntegration| *5 *3 *6)) (|ofCategory| *6 (|SetCategory|))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|Ring|) (|Module| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|XExponentialPackage| *4 *5 *2)) (|ofCategory| *2 (|XPolynomialsCat| *5 *4))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3 *3)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|PriorityQueueAggregate| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|PrecomputedAssociatedEquations| *5 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedRing|)) (|isDomain| *1 (|ExpertSystemToolsPackage1| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|Color|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |poly| *6) (|:| |eq| *3)))) (|isDomain| *1 (|PrimitiveRatRicDE| *5 *6 *3 *7)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *6)) (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *6))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |poly| *6) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))))) (|isDomain| *1 (|RationalRicDE| *5 *6)) (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|DistributedMultivariatePolynomial| *3 *4)) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|isDomain| *1 (|GeneralDistributedMultivariatePolynomial| *3 *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|HomogeneousDistributedMultivariatePolynomial| *3 *4)) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelThreeSpace|))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|List| *8)) (|isDomain| *1 (|ProjectiveAlgebraicSetPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *2 *2 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|BasicOperator|)) (|isDomain| *1 (|RecurrenceOperator| *4 *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *4) (|AbelianMonoid|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Symbol|)) (|PartialDifferentialRing| (|Symbol|)) (|CombinatorialOpsCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Automorphism| *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *5 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *5))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|ListAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|FactoredFunctionUtilities| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|AbelianSemiGroup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $)))))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|DesingTreeCategory| *3)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|DesingTreeCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|DesingTreeCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Tree| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| (|Tree| *2))) (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| *8)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Vector| *3)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *4)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Vector| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FramedAlgebra| *4 *5)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedAlgebra| *3 *4)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Vector| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|Matrix| *5))) (|isDomain| *3 (|Matrix| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Vector| *5)) (|isDomain| *1 (|StructuralConstantsPackage| *5))))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
(((*1 *2 *2 *2 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |resultantReduit| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *1 (|MakeUnaryCompiledFunction| *4 *5 *6)) (|ofCategory| *4 (|ConvertibleTo| (|InputForm|))) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|))))) 
(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *4 *5 *6 *7 *6) (|partial| AND (|isDomain| *5 (|Record| (|:| |contp| *3) (|:| |factors| (|List| (|Record| (|:| |irr| *10) (|:| |pow| (|Integer|))))))) (|isDomain| *6 (|List| *3)) (|isDomain| *7 (|List| *8)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *10 (|PolynomialCategory| *3 *9 *8)) (|ofCategory| *9 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |polfac| (|List| *10)) (|:| |correct| *3) (|:| |corrfact| (|List| (|SparseUnivariatePolynomial| *3))))) (|isDomain| *1 (|LeadingCoefDetermination| *8 *9 *3 *10)) (|isDomain| *4 (|List| (|SparseUnivariatePolynomial| *3)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *2 (|PolynomialCategory| *3 *5 *4)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *5 *4 *6 *2)) (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *2 *3 *4 *5 *5 *6) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *6 (|Boolean|)) (|ofCategory| *7 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|ofCategory| *3 (|Join| (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *7))) (|isDomain| *2 (|Union| (|:| |f1| (|OrderedCompletion| *3)) (|:| |f2| (|List| (|OrderedCompletion| *3))) (|:| |fail| "failed") (|:| |pole| "potentialPole"))) (|isDomain| *1 (|ElementaryFunctionDefiniteIntegration| *7 *3)) (|isDomain| *5 (|OrderedCompletion| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| (|Fraction| *3))) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *4)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *3 *3) (AND (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSolveByFormulas| *4 *3)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|Field|)) (|ofCategory| *6 (|Finite|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|List| (|List| (|Matrix| *6)))) (|isDomain| *1 (|RepresentationPackage2| *6)) (|isDomain| *3 (|List| (|Matrix| *6))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|List| (|List| (|Matrix| *4)))) (|isDomain| *1 (|RepresentationPackage2| *4)) (|isDomain| *3 (|List| (|Matrix| *4))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Finite|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|List| (|List| (|Matrix| *5)))) (|isDomain| *1 (|RepresentationPackage2| *5)) (|isDomain| *3 (|List| (|Matrix| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Finite|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|List| (|List| (|Matrix| *5)))) (|isDomain| *1 (|RepresentationPackage2| *5)) (|isDomain| *3 (|List| (|Matrix| *5)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Matrix| *6)) (|isDomain| *5 (|Mapping| (|Factored| (|SparseUnivariatePolynomial| *6)) (|SparseUnivariatePolynomial| *6))) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|List| (|Record| (|:| |outval| *7) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| *7)))))) (|isDomain| *1 (|InnerNumericEigenPackage| *6 *7 *4)) (|ofCategory| *7 (|Field|)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|EuclideanGroebnerBasisPackage| *3 *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|String|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|EuclideanGroebnerBasisPackage| *4 *5 *6 *7)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|String|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|EuclideanGroebnerBasisPackage| *4 *5 *6 *7))))) 
(((*1 *1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TemplateUtilities|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| (|Record| (|:| |factor| *3) (|:| |degree| *4)))) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *1 *2 *3 *1) (AND (|isDomain| *2 (|SegmentBinding| (|Polynomial| (|Integer|)))) (|isDomain| *3 (|Polynomial| (|Integer|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|SegmentBinding| (|Polynomial| (|Integer|)))) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6)))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|RegularChain| *5 *6))) (|isDomain| *1 (|LexTriangularPackage| *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |k| (|LyndonWord| *3)) (|:| |c| *4)))) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *5 (|PositiveInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|Stream| *4))) (|isDomain| *2 (|Stream| *4)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|SemiGroup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $)))))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|Integer|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|FunctionSpace| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *1 *2 *1 *1 *1 *1) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2 *1 *1 *1) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |sub| (|List| (|OutputForm|))) (|:| |sup| (|List| (|OutputForm|))) (|:| |presup| (|List| (|OutputForm|))) (|:| |presub| (|List| (|OutputForm|))) (|:| |args| (|List| (|OutputForm|))))) (|isDomain| *1 (|Symbol|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|List| (|OutputForm|)))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *2 *3 *4 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|ofCategory| *6 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *5 *6))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *4 (|PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|ofCategory| *4 (|PseudoAlgebraicClosureOfRationalNumberCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|FactorisationOverPseudoAlgebraicClosureOfRationalNumber| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Expression| *4)) (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *4)))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|TrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PrimitiveArray| (|Float|))) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3 *4 *4 *3 *3 *5 *3 *4 *6 *7) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp9| G)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|RewriteRule| *3 *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3))))))) 
(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *5 *5 *5 *5 *4 *4 *6 *7) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp77| FCNF)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp78| FCNG)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|List| *7))) (|isDomain| *1 (|GroebnerFactorizationPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|PolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|List| *8))) (|isDomain| *1 (|GroebnerFactorizationPackage| *5 *6 *7 *8)) (|isDomain| *3 (|List| *8)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|List| *7))) (|isDomain| *1 (|GroebnerFactorizationPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|PolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|List| *8))) (|isDomain| *1 (|GroebnerFactorizationPackage| *5 *6 *7 *8)) (|isDomain| *3 (|List| *8))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *8)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |det| *8) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8))))) 
(((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|OppositeMonogenicLinearOperator| *2 *3)) (|ofCategory| *2 (|MonogenicLinearOperator| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|OutputForm|) (|OutputForm|))) (|isDomain| *1 (|BasicOperator|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Database| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ (|Symbol|))) (SIGNATURE |display| (*2 $)) (SIGNATURE |fullDisplay| (*2 $))))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|HTMLFormat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|IndexCard|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|MathMLFormat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TexFormat|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|AffineSpaceCategory| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RationalRetractions| *3)) (|ofCategory| *3 (|RetractableTo| (|Fraction| (|Integer|))))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|UTSodetools| *5 *2 *6 *3)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *3 (|UnivariateTaylorSeriesCategory| *5))))) 
(((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1 *2) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *2 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *5 (|RecursivePolynomialCategory| *3 *4 *2))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *2 *2) (|partial| AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|PolynomialDecomposition| *2 *3)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|GcdDomain|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *6)) (|ofCategory| *6 (|PolynomialCategory| *5 *3 *4)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|PolynomialFactorizationExplicit|)) (|isDomain| *1 (|GeneralPolynomialGcdPackage| *3 *4 *5 *6)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PolynomialFactorizationExplicit|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *4 *3) (|partial| AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| *5))) (|:| |coeff| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|RationalFunctionIntegration| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5)))))) 
(((*1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3 *3)) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteFieldFactorization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteFieldFactorizationWithSizeParseBySideEffect| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *4 *2)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|CancellationAbelianMonoid|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *9)) (|isDomain| *4 (|List| *7)) (|isDomain| *5 (|List| *8)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|Ring|)) (|ofCategory| *9 (|PolynomialCategory| *8 *6 *7)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *8)) (|isDomain| *1 (|FactoringUtilities| *6 *7 *8 *9))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *2 *3 *4 *5)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|RecursivePolynomialCategory| *2 *3 *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *1) (|isDomain| *1 (|Float|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| *7 *5 *6)) (|isDomain| *1 (|MakeBinaryCompiledFunction| *4 *5 *6 *7)) (|ofCategory| *4 (|ConvertibleTo| (|InputForm|))) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UniversalSegment| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |gcd| (|NewSparseUnivariatePolynomial| *3)) (|:| |coef2| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |gcd| *1) (|:| |coef2| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *4 *3 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *3)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|NonNegativeInteger|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|SetAggregate| *3)))) ((*1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|HTMLFormat|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|MathMLFormat|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|PolynomialFactorizationByRecursionUnivariate| *4 *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateFormalPowerSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Polynomial| (|Complex| *4))) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Polynomial| (|Complex| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Polynomial| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Polynomial| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| *4)))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| *5)))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Expression| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Expression| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Expression| (|Complex| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Expression| (|Complex| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (|ofCategory| *1 (|HyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|PositiveInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|PositiveInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |func| *3) (|:| |kers| (|List| (|Kernel| *3))) (|:| |vals| (|List| *3)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))) (|isDomain| *1 (|TwoFactorize| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))))) 
(((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *4 *3 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *3)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|PatternFunctions1| *4 *5)) (|ofCategory| *5 (|Type|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|TubePlotTools|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Vector| (|Expression| (|Float|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| (|LyndonWord| *5))) (|isDomain| *1 (|LyndonWord| *5))))) 
(((*1 *2 *3 *4 *4 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $))))))))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $))))))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *4 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *4 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *4 (|Kernel| $))))))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *4 *2)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Kernel| *2))) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *4 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *4 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *4 (|Kernel| $))))))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *4 *2))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *1 (|ParametricPlaneCurve| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *2 *2) (AND (|isDomain| *1 (|ParametricSpaceCurve| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|Point| *3))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *2 *7 *8 *9 *10)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *8 (|PlacesCategory| *3 *7)) (|ofCategory| *9 (|DivisorCategory| *8)) (|ofCategory| *10 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|ProjectiveSpaceCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *3)) (|ofCategory| *3 (|ConvertibleTo| *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *3)) (|ofCategory| *3 (|ConvertibleTo| *2)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Polynomial| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Expression| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|InfiniteProductCharacteristicZero| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| (|Integer|)))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|MonogenicAlgebra| *3 *4)) (|isDomain| *1 (|InfiniteProductFiniteField| *3 *4 *5 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *5)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *1 (|InfiniteProductPrimeField| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|StreamInfiniteProduct| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|)) (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|FractionFreeFastGaussian| *4 *5)) (|ofCategory| *5 (|AbelianMonoidRing| *4 *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|List| *4))) (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|LinesOpPack| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|Table| (|StochasticDifferential| *3) (|StochasticDifferential| *3))) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|List| (|Fraction| *7))) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *3 (|Fraction| *7)) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|TranscendentalIntegration| *6 *7))))) 
(((*1 *2 *1 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| (|Integer|))))) (|isDomain| *1 (|FreeGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| (|NonNegativeInteger|))))) (|isDomain| *1 (|FreeMonoid| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |factor| *3) (|:| |exponent| (|Integer|))))) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| (|NonNegativeInteger|))))) (|isDomain| *1 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PrimitiveArray| (|Complex| (|Float|)))) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|Reference| (|OrderedCompletion| (|Integer|)))) (|isDomain| *3 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *4)))) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|Character|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *10)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *5 (|List| *9)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *6 (|Field|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *4 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *6)) (|ofCategory| *11 (|PlacesCategory| *6 *10)) (|ofCategory| *12 (|DivisorCategory| *11)) (|ofCategory| *13 (|InfinitlyClosePointCategory| *6 *7 *4 *8 *9 *10 *11 *12 *15)) (|ofCategory| *15 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|IntersectionDivisorPackage| *6 *7 *4 *8 *9 *10 *11 *12 *13 *14 *15)) (|ofCategory| *14 (|DesingTreeCategory| *13)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|List| (|Places| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|List| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|Mapping| (|Union| (|List| *6) "failed") (|Integer|) *6 *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|Record| (|:| |answer| (|IntegrationResult| (|Fraction| *7))) (|:| |a0| *6))) (|isDomain| *1 (|TranscendentalIntegration| *6 *7)) (|isDomain| *3 (|Fraction| *7))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LyndonWord| *3))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *2 *3 *4 *5 *5 *5 *5 *4 *6) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *3 *4 *4 *3 *4 *4 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Segment| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *1 *1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3))))) 
(((*1 *1 *2 *3 *1) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |func| *3) (|:| |poly| *3) (|:| |c1| (|Fraction| *5)) (|:| |c2| (|Fraction| *5)) (|:| |deg| (|NonNegativeInteger|)))) (|isDomain| *1 (|ChangeOfVariable| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *5)))))) 
(((*1 *1 *2 *2 *2 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 (|List| *5))) (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Mapping| (|Stream| *4) (|List| (|Stream| *4)))) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *5))))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
(((*1 *2 *2 *2) (|partial| AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|NonCommutativeOperatorDivision| *2 *3)) (|ofCategory| *2 (|MonogenicLinearOperator| *3)))) ((*1 *1 *1 *1) (|partial| AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|None|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4 *5 *4 *4 *4) (AND (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *3 (|List| *6)) (|isDomain| *5 (|List| *3)) (|isDomain| *2 (|Record| (|:| |f1| *3) (|:| |f2| (|List| *5)) (|:| |f3| *5) (|:| |f4| (|List| *5)))) (|isDomain| *1 (|TableauxBumpers| *6)) (|isDomain| *4 (|List| *5))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *1 (|PartitionsAndPermutations|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Plot|)) (|isDomain| *2 (|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|))))) (|isDomain| *1 (|TwoDimensionalPlotClipping|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Plot|)) (|isDomain| *4 (|Fraction| (|Integer|))) (|isDomain| *2 (|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|))))) (|isDomain| *1 (|TwoDimensionalPlotClipping|))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *3 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Mapping| (|List| *4) *4)) (|isDomain| *1 (|Bezier| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|SortPackage| *4 *2)) (|ofCategory| *2 (|Join| (|IndexedAggregate| (|Integer|) *4) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|) (ATTRIBUTE |shallowlyMutable|)))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|SortPackage| *3 *2)) (|ofCategory| *2 (|Join| (|IndexedAggregate| (|Integer|) *3) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|) (ATTRIBUTE |shallowlyMutable|))))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *4 (|Integer|))) (|isDomain| *5 (|Mapping| (|Stream| *4))) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Stream| *4)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |preimage| (|List| *3)) (|:| |image| (|List| *3)))) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PrimitiveRatRicDE| *4 *2 *3 *5)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *2)))))) 
(((*1 *1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|SplittingNode| *4 *5))) (|isDomain| *3 (|Mapping| (|Boolean|) *5 *5)) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *4 *5)))) ((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|SplittingNode| *3 *4))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *3 *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *1) (|isDomain| *1 (|Float|)))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Kernel| *6)) (|ofCategory| *6 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| *6)))) (|isDomain| *1 (|GenusZeroIntegration| *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *6)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MonogenicAlgebra| *3 *2)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *3 *4 *4 *5 *6 *7 *8) (|partial| AND (|isDomain| *4 (|SparseUnivariatePolynomial| *11)) (|isDomain| *6 (|List| *10)) (|isDomain| *7 (|List| (|NonNegativeInteger|))) (|isDomain| *8 (|List| *11)) (|ofCategory| *10 (|OrderedSet|)) (|ofCategory| *11 (|EuclideanDomain|)) (|ofCategory| *9 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|PolynomialCategory| *11 *9 *10)) (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|MultivariateSquareFree| *9 *10 *11 *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| *5)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|ResidueRing| *3 *4 *5 *2 *6)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofType| *6 (|List| *2))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *2 *4)) (|ofCategory| *4 (|CancellationAbelianMonoid|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|FreeGroup| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|ListMonoidOps| *2 *4 *5)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|LaurentPolynomial| *4 *5)) (|isDomain| *3 (|Mapping| (|Record| (|:| |ans| *4) (|:| |right| *4) (|:| |sol?| (|Boolean|))) (|Integer|) *4)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|TranscendentalIntegration| *4 *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|BinarySearchTree| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OrderedRing|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| *2) (|LinearlyExplicitRingOver| *2) (|GcdDomain|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ElementaryFunctionSign| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|OrderedCompletion| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| *2) (|LinearlyExplicitRingOver| *2) (|GcdDomain|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ElementaryFunctionSign| *6 *3)))) ((*1 *2 *3 *4 *3 *5) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|String|)) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| *2) (|LinearlyExplicitRingOver| *2) (|GcdDomain|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ElementaryFunctionSign| *6 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RationalFunctionSign| *4)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|OrderedCompletion| (|Fraction| (|Polynomial| *6)))) (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RationalFunctionSign| *6)))) ((*1 *2 *3 *4 *3 *5) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|String|)) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RationalFunctionSign| *6)))) ((*1 *2 *3) (|partial| AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ToolsForSign| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|CardinalNumber|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|))))) 
(((*1 *2 *1 *3 *3 *4 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *3 *4 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2) (AND (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1) (|isDomain| *1 (|Pi|))) ((*1 *1) (|ofCategory| *1 (|TranscendentalFunctionCategory|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|DrawOption|))) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|DrawOption|))) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|DrawOption|))) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|DrawOption|))) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Join| (|Ring|) (|PatternMatchable| *4) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *4)))) (|isDomain| *1 (|ApplyRules| *4 *5 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4) (|ConvertibleTo| (|Pattern| *4))))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|GcdDomain|))) (|isDomain| *2 (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| *4 *5 *6)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| *4 *5 *6)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| *4)))))) (|:| |%type| (|String|)))) (|isDomain| *1 (|UnivariatePuiseuxSeriesWithExponentialSingularity| *3 *4 *5 *6)) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4)))) 
(((*1 *1) (|isDomain| *1 (|FortranCode|)))) 
(((*1 *2) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteAlgebraicExtensionField&| *3 *4)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|OnePointCompletion| (|PositiveInteger|))) (|isDomain| *1 (|FiniteAlgebraicExtensionField&| *3 *4)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|OnePointCompletion| (|PositiveInteger|)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|BasicStochasticDifferential|))) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Float|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|EuclideanDomain|)) (|ofCategory| *9 (|PolynomialCategory| *8 *6 *7)) (|isDomain| *2 (|Record| (|:| |pol| (|SparseUnivariatePolynomial| *9)) (|:| |polval| (|SparseUnivariatePolynomial| *8)))) (|isDomain| *1 (|MultivariateSquareFree| *6 *7 *8 *9)) (|isDomain| *3 (|SparseUnivariatePolynomial| *9)) (|isDomain| *4 (|SparseUnivariatePolynomial| *8))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankAlgebra| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3 *3 *4 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *2 (|List| (|Expression| *6))) (|isDomain| *1 (|DegreeReductionPackage| *5 *6)) (|isDomain| *3 (|Expression| *6)) (|ofCategory| *5 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|IntegrationResult| *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedFunctionSpace| *4) (|TranscendentalFunctionCategory|))) (|ofCategory| *4 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|IntegrationResultToFunction| *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|IntegrationResult| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|List| (|Expression| *4))) (|isDomain| *1 (|IntegrationResultRFToFunction| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentExpansionCategory| *3 *2)) (|ofCategory| *3 (|OrderedRing|)) (|ofCategory| *2 (|StreamAggregate| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|SegmentExpansionCategory| *4 *2)) (|ofCategory| *4 (|OrderedRing|)) (|ofCategory| *2 (|StreamAggregate| *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|XDistributedPolynomial| (|Symbol|) *3)) (|isDomain| *1 (|XPolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4)) (|isDomain| *1 (|XRecursivePolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *1) (|isDomain| *1 (|GraphImage|)))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SpecialOutputPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|OutputForm|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SpecialOutputPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|RootsFindingPackage| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|Float|))) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|Float|))) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Float|))) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Palette|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|AbelianSemiGroup|))) ((*1 *1 *1 *1) (|isDomain| *1 (|Color|))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Database| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ (|Symbol|))) (SIGNATURE |display| ((|Void|) $)) (SIGNATURE |fullDisplay| ((|Void|) $))))))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianSemiGroup|)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianSemiGroup|)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|CancellationAbelianMonoid|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|GradedModule| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4)))) ((*1 *1 *1 *1) (|isDomain| *1 (|InputForm|))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Mapping| *4 *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|MappingPackage4| *3 *4)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)))) ((*1 *2 *2 *1) (AND (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Point| (|DoubleFloat|))) (|isDomain| *1 (|TubePlotTools|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|AbelianSemiGroup|))))) 
(((*1 *2 *2) (AND (|isDomain| *1 (|IntegerPrimesPackage| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *3 *4 *5 *5 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) (|isDomain| *2 (|List| (|Complex| *4))) (|isDomain| *1 (|FloatingComplexPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|List| (|Complex| *5)))) (|isDomain| *1 (|FloatingComplexPackage| *5)) (|ofCategory| *5 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|QuasiComponentPackage| *3 *4 *5 *6 *7)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *3 *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|String|)) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3 *3 *4 *5 *5 *5 *4 *4 *4 *3 *4 *4 *6) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Vector| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|SubSpaceComponentProperty|))))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|LaurentPolynomial| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *6 *4 *5))))) 
(((*1 *2 *3 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *2 *1) (AND (|isDomain| *2 (|XRecursivePolynomial| *3 *4)) (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (|partial| AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *3 *2 *4 *5)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *3 *4))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|)) (|isDomain| *3 (|Float|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *1 (|MappingPackage3| *4 *5 *6))))) 
(((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|SegmentCategory| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalOptimizationProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalOptimizationProblem|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|List| (|Float|))) (|isDomain| *5 (|List| (|OrderedCompletion| (|Float|)))) (|isDomain| *6 (|List| (|Expression| (|Float|)))) (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Float|))) (|isDomain| *5 (|List| (|OrderedCompletion| (|Float|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Float|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Expression| (|Float|)))) (|isDomain| *4 (|List| (|Float|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|SortPackage| *4 *2)) (|ofCategory| *2 (|Join| (|IndexedAggregate| (|Integer|) *4) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|) (ATTRIBUTE |shallowlyMutable|)))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|SortPackage| *3 *2)) (|ofCategory| *2 (|Join| (|IndexedAggregate| (|Integer|) *3) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|) (ATTRIBUTE |shallowlyMutable|))))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|List| *6))) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|ParametricLinearEquations| *3 *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| (|Union| *5 "failed") *7)) (|isDomain| *4 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|IntegralBasisPolynomialTools| *5 *2 *6 *7)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|PolynomialDecomposition| *2 *4)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|WuWenTsunTriangularSet| *3 *4 *5 *6)))) ((*1 *1 *2 *3 *4) (|partial| AND (|isDomain| *2 (|List| *8)) (|isDomain| *3 (|Mapping| (|Boolean|) *8 *8)) (|isDomain| *4 (|Mapping| *8 *8 *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|WuWenTsunTriangularSet| *5 *6 *7 *8))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AbelianMonoidRing| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AntiSymm| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *4 *3 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *3)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ExtAlgBasis|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *8)) (|isDomain| *4 (|List| *6)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *8 (|PolynomialCategory| *7 *5 *6)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|Ring|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|FactoringUtilities| *5 *6 *7 *8)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|GradedModule| *3 *2)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|AbelianMonoid|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|LaurentPolynomial| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MonogenicLinearOperator| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *7 *2)) (|ofType| *7 *2) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *5 *3 *6 *7)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *5 *6)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PowerSeriesCategory| *3 *2 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SetCategoryWithDegree|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|OnePointCompletion| (|PositiveInteger|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|XPolynomialsCat| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|PartialDifferentialRing| *4)) (|isDomain| *1 (|MultiVariableCalculusFunctions| *4 *2 *5 *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *3 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|))))))) 
(((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|QuasiComponentPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|OrderedRing|)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *4 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |gen| *3) (|:| |exp| (|Integer|)))) (|isDomain| *1 (|Divisor| *3)) (|ofCategory| *3 (|SetCategoryWithDegree|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |lcmfij| *4) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *6) (|:| |polj| *6)))) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *3 *4 *5 *6))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *3 *3 *4 *5 *3 *3 *4 *4 *4 *6) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Multiset| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Matrix| (|Polynomial| *4))) (|isDomain| *1 (|RepresentationPackage1| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |rnum| *4) (|:| |polnum| *3) (|:| |den| *4)))))) 
(((*1 *2 *1 *1) (|partial| AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|Finite|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|TriangularMatrixOperations| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *7)) (|:| |neqzro| (|List| *7)) (|:| |wcond| (|List| (|Polynomial| *4))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *4)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *4)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *1 (|TubePlot| *3)) (|ofCategory| *3 (|PlottableSpaceCurveCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Kernel| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Kernel| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternMatch| *5 *3 *4)) (|ofCategory| *3 (|PatternMatchable| *5)) (|ofCategory| *4 (|ConvertibleTo| (|Pattern| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|PatternMatchable| *5)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternMatch| *5 *6 *4)) (|ofCategory| *4 (|ConvertibleTo| (|Pattern| *5)))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RecursiveAggregate| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Vector| (|Vector| (|Integer|)))) (|isDomain| *1 (|GrayCode|))))) 
(((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |var| (|Kernel| *1)) (|:| |exponent| (|Integer|)))) (|ofCategory| *1 (|FunctionSpace| *4)))) ((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |var| (|Kernel| *1)) (|:| |exponent| (|Integer|)))) (|ofCategory| *1 (|FunctionSpace| *4)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|SemiGroup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |var| (|Kernel| *1)) (|:| |exponent| (|Integer|)))) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Record| (|:| |val| (|Pattern| *3)) (|:| |exponent| (|NonNegativeInteger|)))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |var| *5) (|:| |exponent| (|NonNegativeInteger|)))))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|Record| (|:| |var| *5) (|:| |exponent| (|Integer|)))) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $)))))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *9)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|Places| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *5 (|Mapping| (|IntegrationResult| *3) *3 (|Symbol|))) (|isDomain| *6 (|Mapping| (|Union| (|Record| (|:| |special| *3) (|:| |integrand| *3)) "failed") *3 (|Symbol|))) (|ofCategory| *3 (|ElementaryFunctionCategory|)) (|ofCategory| *3 (|LiouvillianFunctionCategory|)) (|ofCategory| *3 (|RetractableTo| *4)) (|ofCategory| *3 (|FunctionSpace| *7)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *7 (|ConvertibleTo| (|Pattern| (|Integer|)))) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *7 (|PatternMatchable| (|Integer|))) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|IntegrationTools| *7 *3))))) 
(((*1 *2 *3) (AND (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| *4 *5))) (|:| |glval| (|List| (|Integer|))))) (|isDomain| *1 (|LinGroebnerPackage| *4 *5)) (|isDomain| *3 (|List| (|DistributedMultivariatePolynomial| *4 *5)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|FreeNilpotentLie| *3 *4 *5)) (|ofType| *3 (|NonNegativeInteger|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|))))) 
(((*1 *2 *3 *3 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *3 *4 *3 *3 *3 *3 *3 *3 *3 *5 *3 *6 *7) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp27| DOT)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp28| IMAGE)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|)))) ((*1 *2 *3 *3 *4 *3 *3 *3 *3 *3 *3 *3 *5 *3 *6 *7 *8) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp27| DOT)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp28| IMAGE)))) (|isDomain| *8 (|FileName|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |basis| (|Matrix| *6)) (|:| |basisDen| *6) (|:| |basisInv| (|Matrix| *6))))) (|isDomain| *1 (|ChineseRemainderToolsForIntegralBases| *5 *6 *7)) (|isDomain| *3 (|Record| (|:| |basis| (|Matrix| *6)) (|:| |basisDen| *6) (|:| |basisInv| (|Matrix| *6)))) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))))) 
(((*1 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*1 *2 *2 *2 *3 *4) (AND (|isDomain| *3 (|Automorphism| *5)) (|isDomain| *4 (|Mapping| *5 *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *5 *2)) (|ofCategory| *2 (|UnivariateSkewPolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PAdicWildFunctionFieldIntegralBasis| *4 *2 *3 *5)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *5 (|MonogenicAlgebra| *2 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *4)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|EltableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|RectangularMatrixCategory| *4 *5 *2 *6 *7)) (|ofCategory| *6 (|DirectProductCategory| *5 *2)) (|ofCategory| *7 (|DirectProductCategory| *4 *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Mapping| *5 *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorsOps| *5 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|EuclideanDomain|))) ((*1 *1 *1 *1) (|isDomain| *1 (|NonNegativeInteger|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Record| (|:| |totdeg| (|NonNegativeInteger|)) (|:| |pol| *4))) (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *4 (|PolynomialCategory| *6 *7 *8)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |lcmfij| *7) (|:| |totdeg| *5) (|:| |poli| *4) (|:| |polj| *4))) (|isDomain| *1 (|GroebnerInternalPackage| *6 *7 *8 *4))))) 
(((*1 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *2 *1 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *2 *3 *3 *3 *4 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *6) (AND (|isDomain| *3 (|Expression| (|Integer|))) (|isDomain| *4 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *6 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|MeshCreationRoutinesForThreeDimensions|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|List| *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *5 *3 *6)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *6 (|Join| (|FloatingPointSystem|) (|RetractableTo| *5) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *5)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|CartesianTensor| *5 *6 *7)) (|ofType| *5 (|Integer|)) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *7 (|CommutativeRing|)) (|ofCategory| *8 (|CommutativeRing|)) (|isDomain| *2 (|CartesianTensor| *5 *6 *8)) (|isDomain| *1 (|CartesianTensorFunctions2| *5 *6 *7 *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *9)) (|ofCategory| *9 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|Ring|)) (|ofCategory| *2 (|PolynomialCategory| *9 *7 *5)) (|isDomain| *1 (|MPolyCatFunctions2| *5 *6 *7 *8 *9 *4 *2)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|PolynomialCategory| *8 *6 *5))))) 
(((*1 *2 *3 *4 *3) (|partial| AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |ratpart| *3) (|:| |coeff| *3))) (|isDomain| *1 (|ElementaryIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|StochasticDifferential| *4)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|StochasticDifferential| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|StochasticDifferential| *4))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|StochasticDifferential| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|FunctionSpaceComplexIntegration| *4 *2)) (|ofCategory| *2 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *4))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|CharacteristicZero|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Expression| *5)) (|isDomain| *1 (|IntegrationResultRFToFunction| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|FiniteDivisor| *3 *4 *5 *6)) (|ofCategory| *6 (|FunctionFieldCategory| *3 *4 *5))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Matrix| *3))) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankAlgebra| *3 *2)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|Field|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Any|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|CancellationAbelianMonoid|)) (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| *4)))))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |coef| *3) (|:| |monom| *4)))) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Stream| (|Record| (|:| |k| *4) (|:| |c| *3))))))) 
(((*1 *2 *3 *4 *3) (|partial| AND (|isDomain| *4 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |ratpart| (|Fraction| *6)) (|:| |coeff| (|Fraction| *6)))) (|isDomain| *1 (|TranscendentalIntegration| *5 *6)) (|isDomain| *3 (|Fraction| *6))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *2 *3 *4 *5 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPolynomialRootsPackage|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Monad|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|MonadWithUnit|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| (|Union| *5 "failed") *8)) (|isDomain| *4 (|Matrix| (|SparseUnivariatePolynomial| *8))) (|ofCategory| *5 (|Ring|)) (|ofCategory| *8 (|Ring|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Matrix| *6)) (|isDomain| *1 (|IntegralBasisPolynomialTools| *5 *6 *7 *8)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *1 (|PlacesCategory| *4 *5)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|LocalPowerSeriesCategory| *4)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *4)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| *3)) (|isDomain| *1 (|MappingPackage1| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorsOps| *4 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *3 *3) (|partial| AND (|ofCategory| *4 (|Join| (|CharacteristicZero|) (|AlgebraicallyClosedField|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| *5))) (|isDomain| *1 (|Kovacic| *4 *5)) (|isDomain| *3 (|Fraction| *5)))) ((*1 *2 *3 *3 *3 *4) (|partial| AND (|isDomain| *4 (|Mapping| (|Factored| *6) *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|CharacteristicZero|) (|AlgebraicallyClosedField|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| *6))) (|isDomain| *1 (|Kovacic| *5 *6)) (|isDomain| *3 (|Fraction| *6))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |left| *3) (|:| |right| *3))) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| (|AlgebraicNumber|)))) (|isDomain| *1 (|AlgebraicNumber|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|FractionalIdeal| *3 *4 *5 *6)) (|ofCategory| *6 (|Join| (|FramedAlgebra| *4 *5) (|RetractableTo| *4))))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|SparseMultivariatePolynomial| *3 (|Kernel| *1))) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| (|InnerAlgebraicNumber|)))) (|isDomain| *1 (|InnerAlgebraicNumber|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|Algebra| *3)) (|isDomain| *1 (|LocalAlgebra| *2 *3 *4)) (|ofCategory| *4 (|SubsetCategory| (|Monoid|) *3)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|Module| *3)) (|isDomain| *1 (|Localize| *2 *3 *4)) (|ofCategory| *4 (|SubsetCategory| (|Monoid|) *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|List| (|Integer|))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|List| (|Integer|)))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |den| (|Integer|)) (|:| |gcdnum| (|Integer|))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PointsOfFiniteOrderTools| *4 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4))))) ((*1 *2 *3 *4) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Mapping| *5 *4)) (|isDomain| *1 (|MappingPackage2| *4 *5)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|ofType| *5 (|NonNegativeInteger|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|PackageForPoly| *2 *3 *4 *5)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *2 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PatternMatchAssertions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAssertions| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *2)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *3 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *4 *5 *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *2 (|Complex| *5)) (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *5 *3)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|ofCategory| *3 (|Join| (|FunctionSpace| (|Complex| *4)) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |op| (|BasicOperator|)) (|:| |w| (|DoubleFloat|)))) (|isDomain| *1 (|d01WeightsPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedAlgebra| *3 *4)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Vector| *5)) (|ofCategory| *5 (|LinearlyExplicitRingOver| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|LinearDependence| *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|List| (|Union| (|Fraction| (|Polynomial| *4)) (|SuchThat| (|Symbol|) (|Polynomial| *4))))) (|isDomain| *1 (|EigenPackage| *4))))) 
(((*1 *1) (|isDomain| *1 (|Color|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|List| (|HomogeneousDistributedMultivariatePolynomial| *5 *6))) (|isDomain| *4 (|OrderedVariableList| *5)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|HomogeneousDistributedMultivariatePolynomial| *5 *6)) (|isDomain| *1 (|LinGroebnerPackage| *5 *6)) (|ofCategory| *6 (|GcdDomain|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|HomogeneousDistributedMultivariatePolynomial| *5 *6))) (|isDomain| *4 (|OrderedVariableList| *5)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|HomogeneousDistributedMultivariatePolynomial| *5 *6)) (|isDomain| *1 (|LinGroebnerPackage| *5 *6)) (|ofCategory| *6 (|GcdDomain|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|IntervalCategory| *3)) (|ofCategory| *3 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|Integer|)))) (|isDomain| *1 (|CyclotomicPolynomialPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|SingleInteger|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|GenExEuclid| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|GeneralHenselPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofType| *4 *3) (|ofType| *5 (|Mapping| *3 *3 (|NonNegativeInteger|))) (|isDomain| *1 (|InnerModularGcd| *3 *2 *4 *5)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| (|Integer|))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *1)) (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3))))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *2 *3 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *9)) (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *9 (|PolynomialCategory| *8 *6 *7)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|EuclideanDomain|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|MultivariateSquareFree| *6 *7 *8 *9)) (|isDomain| *5 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|LyndonWord| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *3 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |gcd| (|NewSparseUnivariatePolynomial| *3)) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |gcd| *1) (|:| |coef1| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|SubSpaceComponentProperty|)))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|PointCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Point| (|DoubleFloat|))) (|isDomain| *1 (|TubePlotTools|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |resultant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AntiSymm| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Any|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AnyFunctions1| *4)) (|ofCategory| *4 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Magma| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (AND (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *4 (|Mapping| *2 *2)) (|ofCategory| *2 (|LeftModule| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|ApplyUnivariateSkewPolynomial| *5 *2 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *5)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)))) ((*1 *2 *1 *2 *2) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *3 *2 *2 *4 *5) (AND (|isDomain| *4 (|Automorphism| *2)) (|isDomain| *5 (|Mapping| *2 *2)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *2 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *2))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|Boolean|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *5)))))) (|isDomain| *1 (|NonLinearSolvePackage| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *4)))))) (|isDomain| *1 (|NonLinearSolvePackage| *4)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Matrix| *7)) (|isDomain| *5 (|Mapping| (|Record| (|:| |particular| (|Union| *6 "failed")) (|:| |basis| (|List| *6))) *7 *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| *6)) (|isDomain| *2 (|Record| (|:| |particular| (|Union| (|Vector| *6) "failed")) (|:| |basis| (|List| (|Vector| *6))))) (|isDomain| *1 (|SystemODESolver| *6 *7)) (|isDomain| *4 (|Vector| *6))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|CliffordAlgebra| *4 *2 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|QuadraticForm| *4 *2)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Expression| *3)) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|CancellationAbelianMonoid|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|LaurentPolynomial| *2 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MonogenicLinearOperator| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|MonoidRing| *2 *3)) (|ofCategory| *3 (|Monoid|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *5)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *2)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *6)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *2)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|BasicStochasticDifferential|)) (|isDomain| *2 (|Expression| *4)) (|isDomain| *1 (|StochasticDifferential| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *2 (|PolynomialCategory| *4 (|IndexedExponents| *5) *5)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *4 *5 *2)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Polynomial| *4)) (|isDomain| *1 (|TaylorSeries| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlottablePlaneCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PlottableSpaceCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OrdSetInts|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|QueryEquation|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *7 (|PolynomialCategory| *3 *5 *6)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *8) (|:| |radicand| *8))) (|isDomain| *1 (|PolynomialRoots| *5 *6 *3 *7 *8)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *8 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $)) (SIGNATURE |coerce| ($ *7)))))))) 
(((*1 *1 *2 *3 *3 *3) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3 *3 *3 *3) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|SuchThat| (|List| (|Expression| *5)) (|List| (|Equation| (|Expression| *5))))) (|isDomain| *1 (|RadicalSolvePackage| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|SuchThat| (|List| (|Expression| *5)) (|List| (|Equation| (|Expression| *5))))) (|isDomain| *1 (|RadicalSolvePackage| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|List| (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|)))))) (|isDomain| *1 (|IdealDecompositionPackage| *4 *5)) (|isDomain| *3 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|)))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Stream| *3))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FunctionSpaceReduce| *3 *4)) (|ofCategory| *4 (|FunctionSpace| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *5)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *5 *7)) (|isDomain| *1 (|BlowUpPackage| *5 *6 *2 *7 *4)) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *4 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4 *2 *2 *5) (|partial| AND (|isDomain| *2 (|OrderedCompletion| *4)) (|isDomain| *3 (|Kernel| *4)) (|isDomain| *5 (|Boolean|)) (|ofCategory| *4 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|DefiniteIntegrationTools| *6 *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|SubSpace| 3 *3)))) ((*1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3 (|Integer|))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|Automorphism| *3)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|Automorphism| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|Automorphism| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6)))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *5 (|IndexedExponents| (|OrderedVariableList| *6)) (|OrderedVariableList| *6) (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6))))) (|isDomain| *1 (|LexTriangularPackage| *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d01AgentsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlottablePlaneCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PlottableSpaceCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| (|Expression| (|Integer|)))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|CharacterClass|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|BalancedPAdicRational| *4)) (|ofType| *4 *3) (|isDomain| *3 (|Integer|)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|PAdicRational| *4)) (|ofType| *4 *3) (|isDomain| *3 (|Integer|)))) ((*1 *2 *1 *3) (AND (|ofType| *4 *3) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|PAdicRationalConstructor| *4 *5)) (|isDomain| *3 (|Integer|)) (|ofCategory| *5 (|PAdicIntegerCategory| *4)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *3 *1 *2) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *2 *3)) (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|has| *2 (SIGNATURE ** (*2 *2 *3))) (|has| *2 (SIGNATURE |coerce| (*2 (|Symbol|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *3 *6 *6 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *6 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |coef1| *1) (|:| |coef2| *1) (|:| |generator| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|)))))) (|isDomain| *1 (|FiniteFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *4 (|PlacesCategory| *5 *2)) (|ofCategory| *9 (|DivisorCategory| *4)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *5 *6 *3 *7 *8 *2 *4 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|LocalPowerSeriesCategory| *5)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *5 *6 *3 *7 *8 *2 *4 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *6 *5)) (|isDomain| *4 (|Places| *5)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|NeitherSparseOrDensePowerSeries| *5)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *5 *6 *7)) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *6 *5)) (|isDomain| *4 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *5)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|NeitherSparseOrDensePowerSeries| (|PseudoAlgebraicClosureOfFiniteField| *5))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *2)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *2 (|LocalPowerSeriesCategory| *5)) (|isDomain| *1 (|ParametrizationPackage| *5 *6 *3 *7 *8 *2 *9)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *9 (|PlacesCategory| *5 *2)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *2 (|LocalPowerSeriesCategory| *5)) (|isDomain| *1 (|ParametrizationPackage| *5 *6 *3 *7 *8 *2 *4)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *4 (|PlacesCategory| *5 *2)))) ((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *2 (|LocalPowerSeriesCategory| *5)) (|isDomain| *1 (|ParametrizationPackage| *5 *6 *3 *7 *8 *2 *4)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *4 (|PlacesCategory| *5 *2)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|Field|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|ofCategory| *2 (|LocalPowerSeriesCategory| *6)) (|isDomain| *1 (|ParametrizationPackage| *6 *7 *3 *8 *9 *2 *4)) (|ofCategory| *3 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *9 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *4 (|PlacesCategory| *6 *2))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|FractionFreeFastGaussian| *5 *6)) (|ofCategory| *6 (|AbelianMonoidRing| *5 *4)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| *5))) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|FractionFreeFastGaussian| *5 *6)) (|ofCategory| *6 (|AbelianMonoidRing| *5 *4)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|UnivariatePolynomial| *4 *5)) (|isDomain| *3 (|List| *5)) (|ofType| *4 (|Symbol|)) (|ofCategory| *5 (|Field|)) (|isDomain| *1 (|PolynomialInterpolation| *4 *5)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *5)) (|isDomain| *1 (|PolynomialInterpolation| *4 *5)) (|ofType| *4 (|Symbol|)))) ((*1 *2 *3 *3 *4 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|Fraction| (|Polynomial| *6))) (|isDomain| *1 (|RationalInterpolation| *5 *6)) (|ofType| *5 (|Symbol|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *4 *5 *5 *4 *6) (AND (|isDomain| *5 (|Kernel| *4)) (|isDomain| *6 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *7 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|GenusZeroIntegration| *7 *4 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *4 *5 *5 *5 *4 *6) (AND (|isDomain| *5 (|Kernel| *4)) (|isDomain| *6 (|Fraction| (|SparseUnivariatePolynomial| *4))) (|ofCategory| *4 (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *7 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|GenusZeroIntegration| *7 *4 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*1 *2 *3 *3 *4 *3 *5 *3 *5 *4 *5 *5 *4 *4 *5 *3) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *4 (|Field|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|TableauxBumpers| *3))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Vector| *6)) (|isDomain| *4 (|Vector| (|Integer|))) (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6)) (|isDomain| *1 (|RandomDistributions| *6))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Union| (|Boolean|) "failed")) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|FlexibleArray| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|IndexedFlexibleArray| *3 *4)) (|ofType| *4 (|Integer|))))) 
(((*1 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *7))) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *4 *5 *6 *7)))) ((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *5))) (|isDomain| *3 (|SparseUnivariatePolynomial| *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|isDomain| *1 (|PolynomialFactorizationByRecursionUnivariate| *4 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|IrredPolyOverFiniteField| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|CharacterClass|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|IntegralBasisTools| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|isDomain| *3 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Stream| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ODEIntensityFunctionsTable|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2 *2 *3 *3 *4 *2 *5) (|partial| AND (|isDomain| *3 (|Kernel| *2)) (|isDomain| *4 (|Mapping| (|Union| *2 "failed") *2 *2 (|Symbol|))) (|isDomain| *5 (|SparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|GenusZeroIntegration| *6 *2 *7)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *2 *2 *2 *3 *3 *4 *3 *2 *5) (|partial| AND (|isDomain| *3 (|Kernel| *2)) (|isDomain| *4 (|Mapping| (|Union| *2 "failed") *2 *2 (|Symbol|))) (|isDomain| *5 (|Fraction| (|SparseUnivariatePolynomial| *2))) (|ofCategory| *2 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|GenusZeroIntegration| *6 *2 *7)) (|ofCategory| *7 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|List| (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| *4)) (|SuchThat| (|Symbol|) (|Polynomial| *4)))) (|:| |geneigvec| (|List| (|Matrix| (|Fraction| (|Polynomial| *4)))))))) (|isDomain| *1 (|EigenPackage| *4)) (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *4))))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|isDomain| *2 (|Record| (|:| |sysok| (|Boolean|)) (|:| |z0| (|List| *7)) (|:| |n0| (|List| *7)))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *1 *1) (|partial| AND (|isDomain| *1 (|SplittingTree| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |sinh| (|Stream| *4)) (|:| |cosh| (|Stream| *4)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *4)) (|isDomain| *3 (|Stream| *4))))) 
(((*1 *2 *3 *4 *4 *5 *4 *4 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Record| (|:| |op| (|BasicOperator|)) (|:| |arg| (|List| (|Pattern| *3))))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|List| (|Pattern| *4))) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|IntegrationTools| *4 *2)) (|ofCategory| *2 (|ElementaryFunctionCategory|)) (|ofCategory| *2 (|FunctionSpace| *4))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1 *4) (AND (|isDomain| *4 (|Mapping| (|Boolean|) *3 *3)) (|ofCategory| *1 (|TriangularSetCategory| *5 *6 *7 *3)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *2 *3 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *2 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *1 (|FractionFreeFastGaussian| *2 *4)) (|ofCategory| *4 (|AbelianMonoidRing| *2 *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PermutationGroup| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|RealClosure| *3)) (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|) (|RealConstant|))))) ((*1 *2 *3 *1 *2) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *2 *3 *1 *2) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *2 *3)) (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|CRApackage| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpaceComponentProperty|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AntiSymm| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Matrix| *5))) (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RepresentationPackage2| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RepresentationPackage2| *4))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1 *2) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *2)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *2 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *3)) (|ofCategory| *3 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OrderedRing|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *2) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *2 *10)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *2 (|DivisorCategory| *9)) (|ofCategory| *10 (|BlowUpMethodCategory|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorsOps| *4 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *2 *2 *3 *4 *5) (AND (|isDomain| *2 (|List| *9)) (|isDomain| *3 (|Mapping| (|Boolean|) *9)) (|isDomain| *4 (|Mapping| (|Boolean|) *9 *9)) (|isDomain| *5 (|Mapping| *9 *9 *9)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *6 *7 *8 *9))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|IntegrationResult| *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedFunctionSpace| *4) (|TranscendentalFunctionCategory|))) (|isDomain| *1 (|IntegrationResultToFunction| *4 *2)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|IntegrationResult| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Expression| *4)) (|isDomain| *1 (|IntegrationResultRFToFunction| *4))))) 
(((*1 *1 *1 *2 *2) (|partial| AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 *2) (|ofType| *4 *2)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *5 (|Finite|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|IntegerNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *6)) (|isDomain| *3 (|Integer|)) (|ofCategory| *6 (|EuclideanDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|)) (|ofCategory| *1 (|FloatingPointSystem|)))) ((*1 *2) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineFloat|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Union| (|Fraction| (|Polynomial| *5)) (|SuchThat| (|Symbol|) (|Polynomial| *5)))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|List| (|Matrix| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|EigenPackage| *5)) (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| *5))))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2) (AND (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|RoutinesTable|)) (|isDomain| *3 (|String|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|))) ((*1 *1 *1) (|isDomain| *1 (|Character|))) ((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateFormalPowerSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|))))) 
(((*1 *2 *1 *3 *4 *4 *4 *4 *5 *5 *5 *5 *6 *5 *6 *5) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|Palette|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *5 *5 *6 *7 *8 *8 *3) (AND (|isDomain| *6 (|List| (|Boolean|))) (|isDomain| *7 (|Matrix| (|DoubleFloat|))) (|isDomain| *8 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (|isDomain| *1 (|IntegrationFunctionsTable|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|)))))) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|FiniteFieldFunctions| *4))))) 
(((*1 *2 *3 *4 *3 *4 *5 *3 *4 *3 *3 *3 *3) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *7)) (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AffineSpaceCategory| *4)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AffineSpaceCategory| *3)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|PermutationCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Set| *3)))) ((*1 *2 *1 *3) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Set| (|List| *4))) (|isDomain| *1 (|PermutationGroup| *4)) (|isDomain| *3 (|List| *4)))) ((*1 *2 *1 *3) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Set| (|Set| *4))) (|isDomain| *1 (|PermutationGroup| *4)) (|isDomain| *3 (|Set| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *2 (|Set| *3)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *4)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|CyclicStreamTools| *3 *2)) (|ofCategory| *2 (|LazyStreamAggregate| *3))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|PackageForPoly| *3 *4 *5 *6)) (|ofCategory| *4 (|FiniteAbelianMonoidRing| *3 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *1 *3 *4 *4 *5) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *4 (|Palette|)) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1 *3 *4 *4 *5) (AND (|isDomain| *3 (|List| (|Point| (|DoubleFloat|)))) (|isDomain| *4 (|Palette|)) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Matrix| (|PrimeField| *3))) (|isDomain| *1 (|FiniteFieldNormalBasis| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|isDomain| *1 (|FiniteFieldNormalBasisExtensionByPolynomial| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|Union| (|SparseUnivariatePolynomial| *3) (|Vector| (|List| (|Record| (|:| |value| *3) (|:| |index| (|SingleInteger|))))))))) ((*1 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|isDomain| *1 (|FiniteFieldNormalBasisExtension| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|BalancedFactorisation| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|BalancedFactorisation| *5 *3))))) 
(((*1 *2 *3 *3 *3) (|partial| AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|Fraction| *5))) (|isDomain| *1 (|TranscendentalRischDESystem| *4 *5)) (|isDomain| *3 (|Fraction| *5))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|U32Vector|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *4 *1) (AND (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *1 *1 *3 *4) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *5 *5)) (|isDomain| *4 (|Mapping| (|Boolean|) *6 *6)) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *6 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *5 *6))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *2 (|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|)))) (|isDomain| *1 (|Stream| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *3 (|NonNegativeInteger|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Matrix| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|CharacteristicPolynomialPackage| *2)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|CharacteristicPolynomialInMonogenicalAlgebra| *4 *2 *3)) (|ofCategory| *3 (|MonogenicAlgebra| *4 *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Polynomial| *5)) (|isDomain| *1 (|EigenPackage| *5)) (|ofCategory| *5 (|GcdDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *4)))) (|isDomain| *2 (|Polynomial| *4)) (|isDomain| *1 (|EigenPackage| *4)) (|ofCategory| *4 (|GcdDomain|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankAlgebra| *3 *2)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Complex| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Polynomial| (|Complex| (|Fraction| (|Integer|))))) (|isDomain| *1 (|NumericComplexEigenPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Complex| (|Fraction| (|Integer|))))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Polynomial| (|Complex| (|Fraction| (|Integer|))))) (|isDomain| *1 (|NumericComplexEigenPackage| *5)) (|ofCategory| *5 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|NumericRealEigenPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Integer|)))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|NumericRealEigenPackage| *5)) (|ofCategory| *5 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|InfiniteProductCharacteristicZero| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| (|Integer|)))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|MonogenicAlgebra| *3 *4)) (|isDomain| *1 (|InfiniteProductFiniteField| *3 *4 *5 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *5)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *1 (|InfiniteProductPrimeField| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|StreamInfiniteProduct| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|SmithNormalForm| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|Any|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|PermutationGroup| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| *4)))) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5))))) 
(((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5) (|partial| AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |eq| (|List| *9)) (|:| |tower| *4) (|:| |ineq| (|List| *9)))) (|isDomain| *1 (|QuasiComponentPackage| *6 *7 *8 *9 *4)) (|isDomain| *3 (|List| *9)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *9)))) ((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5) (|partial| AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |eq| (|List| *9)) (|:| |tower| *4) (|:| |ineq| (|List| *9)))) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *6 *7 *8 *9 *4)) (|isDomain| *3 (|List| *9)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *9))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| *5 *5)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|IntegrationResult| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2)) (|ofCategory| *2 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|))))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Matrix| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Mapping| *5 *5)) (|isDomain| *1 (|ODEIntegration| *4 *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedFunctionSpace| *4) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|StackAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Polynomial| *6))) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *2 (|PolynomialCategory| (|Fraction| (|Polynomial| *6)) *5 *4)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *5 *4 *6 *2)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)))))))) 
(((*1 *2 *3 *3 *3 *4 *5 *4 *6) (AND (|isDomain| *3 (|Expression| (|Integer|))) (|isDomain| *4 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *6 (|Integer|)) (|isDomain| *2 (|TubePlot| (|Plot3D|))) (|isDomain| *1 (|ExpressionTubePlot|)))) ((*1 *2 *3 *3 *3 *4 *5 *4 *6 *7) (AND (|isDomain| *3 (|Expression| (|Integer|))) (|isDomain| *4 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *6 (|Integer|)) (|isDomain| *7 (|String|)) (|isDomain| *2 (|TubePlot| (|Plot3D|))) (|isDomain| *1 (|ExpressionTubePlot|)))) ((*1 *2 *3 *3 *3 *4 *5 *6 *7) (AND (|isDomain| *3 (|Expression| (|Integer|))) (|isDomain| *4 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *7 (|Integer|)) (|isDomain| *2 (|TubePlot| (|Plot3D|))) (|isDomain| *1 (|ExpressionTubePlot|)))) ((*1 *2 *3 *3 *3 *4 *5 *6 *7 *8) (AND (|isDomain| *3 (|Expression| (|Integer|))) (|isDomain| *4 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *7 (|Integer|)) (|isDomain| *8 (|String|)) (|isDomain| *2 (|TubePlot| (|Plot3D|))) (|isDomain| *1 (|ExpressionTubePlot|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|List| *2) *2 *2 *2)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|BalancedBinaryTree| *2)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|BalancedBinaryTree| *2))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|Boolean|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|OpenMathConnection|)) (|isDomain| *4 (|Any|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathServerPackage|))))) 
(((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|Aggregate|))) ((*1 *1 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (|isDomain| *1 (|BasicOperator|))) ((*1 *1 *1) (|isDomain| *1 (|SubSpaceComponentProperty|))) ((*1 *1 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *1 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|FunctionSpaceReduce| *4 *3)) (|ofCategory| *3 (|FunctionSpace| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Kernel| *3)) (|ofCategory| *3 (|FunctionSpace| *5)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|FunctionSpaceReduce| *5 *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *2 *3 *4 *5)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|DifferentialVariableCategory| *3)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *1 (|LiePolynomial| *3 *4)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|LiePolynomial| *3 *4)) (|isDomain| *1 (|XPBWPolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|Stream| *4))) (|isDomain| *2 (|Stream| *4)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Automorphism| *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *5 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|Record| (|:| |start| *3) (|:| |factors| (|Factored| *3)))) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4)))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *4 (|RetractableTo| (|Integer|))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|AlgebraicFunction| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *1 *1 *1) (|isDomain| *1 (|CardinalNumber|))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|DivisionRing|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Algebra| *3)) (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *4 *5 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *4 *5)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Algebra| *3)) (|ofCategory| *5 (|UnivariateLaurentSeriesCategory| *4)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *4 *5 *2 *6)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *4 *5)) (|ofCategory| *6 (|PartialTranscendentalFunctions| *5)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|ElementaryFunctionCategory|))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|FreeGroup| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|SemiGroup|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Group|)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|InputForm|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InputForm|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|MappingPackage1| *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *3 *4)) (|ofCategory| *4 (|LeftModule| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *4 *5)) (|ofCategory| *5 (|LeftModule| *4)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Monad|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|MonadWithUnit|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Monoid|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|MyExpression| *2 *3)) (|ofType| *2 (|Symbol|)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Operator| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Operator| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RadicalCategory|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|SemiGroup|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|SquareMatrixCategory| *3 *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *3 *4)) (|ofCategory| *6 (|DirectProductCategory| *3 *4)) (|ofCategory| *4 (|Field|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Segment| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *2 *2 *3 *3) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)) (|isDomain| *1 (|UTSodetools| *4 *5 *6 *2)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Magma| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|HomogeneousDistributedMultivariatePolynomial| *4 *5)) (|isDomain| *1 (|PolToPol| *4 *5)) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Complex| *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|ofCategory| *2 (|Join| (|FunctionSpace| (|Complex| *4)) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *5 *2))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InternalRationalUnivariateRepresentationPackage| *5 *6 *7 *8 *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|GcdDomain|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |const| *3) (|:| |nconst| *3))) (|isDomain| *1 (|PatternMatchIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5)))))) 
(((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *2 *2)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|DoubleResultantPackage| *5 *2 *6 *3)) (|ofCategory| *3 (|FunctionFieldCategory| *5 *2 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *4)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *4))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3 *5) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp19| LSFUN2)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |unit| *1) (|:| |canonical| *1) (|:| |associate| *1))) (|ofCategory| *1 (|IntegralDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *4 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2) (|partial| AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|FunctionFieldCategory&| *3 *4 *2 *5)) (|ofCategory| *3 (|FunctionFieldCategory| *4 *2 *5)))) ((*1 *2) (|partial| AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *2 *4)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Stream| (|DoubleFloat|))) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|Stream| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|Stream| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *2 *6)) (|isDomain| *4 (|Mapping| *6 *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|MappingPackageInternalHacks3| *5 *6 *2))))) 
(((*1 *1 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *3 *4 *3 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Symbol|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|StochasticDifferential| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|Fraction| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|isDomain| *1 (|RationalIntegration| *3 *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|IntegralDomain|)) (|ofCategory| *8 (|PolynomialCategory| *7 *5 *6)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *9) (|:| |radicand| *9))) (|isDomain| *1 (|PolynomialRoots| *5 *6 *7 *8 *9)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *9 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |numer| (*8 $)) (SIGNATURE |denom| (*8 $)) (SIGNATURE |coerce| ($ *8)))))))) 
(((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *3 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Permutation| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PermutationGroup| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SetOfMIntegersInOneToN| *4 *5)) (|ofType| *4 *3) (|ofType| *5 *3))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|Kernel| *7)) (|ofCategory| *7 (|Join| (|FunctionSpace| *6) (|AbelianMonoid|) (|RetractableTo| *2) (|RetractableTo| *5) (|PartialDifferentialRing| *5) (|CombinatorialOpsCategory|))) (|isDomain| *5 (|Symbol|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RecurrenceOperator| *6 *7))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2)) (|ofCategory| *2 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|List| *7)) (|isDomain| *4 (|Mapping| *7 (|NonNegativeInteger|) (|NonNegativeInteger|) *8)) (|isDomain| *5 (|Vector| *8)) (|isDomain| *6 (|List| (|NonNegativeInteger|))) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|ofCategory| *8 (|AbelianMonoidRing| *7 (|NonNegativeInteger|))) (|isDomain| *2 (|Matrix| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|FractionFreeFastGaussian| *7 *8)))) ((*1 *2 *3 *4 *5 *6 *6) (AND (|isDomain| *3 (|List| *7)) (|isDomain| *4 (|Mapping| *7 (|NonNegativeInteger|) (|NonNegativeInteger|) *8)) (|isDomain| *5 (|Vector| *8)) (|isDomain| *6 (|NonNegativeInteger|)) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|ofCategory| *8 (|AbelianMonoidRing| *7 *6)) (|isDomain| *2 (|Stream| (|Matrix| (|SparseUnivariatePolynomial| *7)))) (|isDomain| *1 (|FractionFreeFastGaussian| *7 *8)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|List| *7)) (|isDomain| *4 (|Mapping| *7 (|NonNegativeInteger|) (|NonNegativeInteger|) *8)) (|isDomain| *5 (|Vector| *9)) (|isDomain| *6 (|List| (|NonNegativeInteger|))) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|ofCategory| *8 (|FiniteAbelianMonoidRing| *7 (|NonNegativeInteger|))) (|ofCategory| *9 (|FiniteAbelianMonoidRing| (|Fraction| *7) (|NonNegativeInteger|))) (|isDomain| *2 (|Matrix| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|FractionFreeFastGaussianFractions| *7 *8 *9)))) ((*1 *2 *3 *4 *5 *6 *6) (AND (|isDomain| *3 (|List| *7)) (|isDomain| *4 (|Mapping| *7 (|NonNegativeInteger|) (|NonNegativeInteger|) *8)) (|isDomain| *5 (|Vector| *9)) (|isDomain| *6 (|NonNegativeInteger|)) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|ofCategory| *8 (|FiniteAbelianMonoidRing| *7 *6)) (|ofCategory| *9 (|FiniteAbelianMonoidRing| (|Fraction| *7) *6)) (|isDomain| *2 (|Stream| (|Matrix| (|SparseUnivariatePolynomial| *7)))) (|isDomain| *1 (|FractionFreeFastGaussianFractions| *7 *8 *9))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|UnivariatePolynomial| *5 *4))) (|isDomain| *1 (|SturmHabichtPackage| *4 *5)) (|isDomain| *3 (|UnivariatePolynomial| *5 *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *6)) (|ofCategory| *6 (|Join| (|SetCategory|) (|RetractableTo| *5))) (|ofCategory| *5 (|PatternMatchable| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Mapping| (|Boolean|) *5)) (|isDomain| *1 (|PatternMatchPushDown| *4 *5 *6))))) 
(((*1 *1 *2 *2 *2 *2) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Record| (|:| |val| (|List| *7)) (|:| |tower| *8))) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|Record| (|:| |val| (|List| *7)) (|:| |tower| *8))) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *6 *6)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *4 (|List| *6)) (|isDomain| *2 (|Record| (|:| |fs| (|Boolean|)) (|:| |sd| *4) (|:| |td| (|List| *4)))) (|isDomain| *1 (|TableauxBumpers| *6)) (|isDomain| *5 (|List| *4))))) 
(((*1 *2 *3 *3 *4 *5) (AND (|isDomain| *3 (|String|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *4 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NormalizationPackage| *6 *7 *8 *4 *5)) (|ofCategory| *5 (|RegularTriangularSetCategory| *6 *7 *8 *4))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|LaplaceTransform| *4 *2)) (|ofCategory| *2 (|Join| (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *4)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5)) (|ofCategory| *2 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 "right") (|ofCategory| *1 (|BinaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 "left") (|ofCategory| *1 (|BinaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *4 *5 *2)) (|ofType| *4 (|Integer|)) (|ofType| *5 (|NonNegativeInteger|)))) ((*1 *2 *1 *3 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *4 *5 *2)) (|ofType| *4 *3) (|ofType| *5 (|NonNegativeInteger|)))) ((*1 *2 *1 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *4 *5 *2)) (|ofType| *4 *3) (|ofType| *5 (|NonNegativeInteger|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *4 *5 *2)) (|ofType| *4 *3) (|ofType| *5 (|NonNegativeInteger|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *4 *5 *2)) (|ofType| *4 *3) (|ofType| *5 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *2)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|DataList| (|String|))) (|isDomain| *1 (|Database| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ *3)) (SIGNATURE |display| ((|Void|) $)) (SIGNATURE |fullDisplay| ((|Void|) $))))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|QueryEquation|)) (|isDomain| *1 (|Database| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ (|Symbol|))) (SIGNATURE |display| ((|Void|) $)) (SIGNATURE |fullDisplay| ((|Void|) $))))))) ((*1 *2 *1 *3) (AND (|isDomain| *3 "count") (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DataList| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 "sort") (|isDomain| *1 (|DataList| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 "unique") (|isDomain| *1 (|DataList| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|Eltable| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|ofCategory| *1 (|EltableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *3 *2 *4 *5 *6 *7)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *2 *2 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *2 "failed") *2 *2 *4)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *2 *1 *1 *1 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|BasicOperator|)))) ((*1 *1 *2 *1 *1 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|BasicOperator|)))) ((*1 *1 *2 *1 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|BasicOperator|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|BasicOperator|)))) ((*1 *2 *1 *2 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *2 *3 *4)) (|ofCategory| *2 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3))))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|IndexCard|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|Library|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|UniversalSegment| (|Integer|))) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| (|Pattern| *4))) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|PermutationCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Permutation| *4)) (|isDomain| *1 (|PermutationGroup| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|PlacesCategory| *2 *4)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|DirectProduct| *4 *2)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|QuadraticForm| *4 *2)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 "value") (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|RectangularMatrixCategory| *4 *5 *2 *6 *7)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *5 *2)) (|ofCategory| *7 (|DirectProductCategory| *4 *2)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|RectangularMatrixCategory| *4 *5 *2 *6 *7)) (|ofCategory| *6 (|DirectProductCategory| *5 *2)) (|ofCategory| *7 (|DirectProductCategory| *4 *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Join| (|Ring|) (|PatternMatchable| *4) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *4)))) (|isDomain| *1 (|RewriteRule| *4 *5 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4) (|ConvertibleTo| (|Pattern| *4)))))) ((*1 *2 *1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Join| (|Ring|) (|PatternMatchable| *4) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *4)))) (|isDomain| *1 (|Ruleset| *4 *5 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4) (|ConvertibleTo| (|Pattern| *4)))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|StringAggregate|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|Fraction| *1)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Fraction| *1)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 "last") (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 "rest") (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 "first") (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|HomogeneousDistributedMultivariatePolynomial| *4 *5)) (|isDomain| *1 (|LinGroebnerPackage| *4 *5))))) 
(((*1 *2 *3 *2 *4) (|partial| AND (|isDomain| *4 (|Mapping| (|Union| (|Integer|) "failed") *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|InnerPolySign| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *3 *4 *2 *5) (|partial| AND (|isDomain| *5 (|Mapping| (|Union| (|Integer|) "failed") *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|InnerPolySign| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *5 (|Mapping| (|Union| (|Integer|) "failed") *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|InnerPolySign| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |gcd| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|UnivariateFormalPowerSeriesFunctions| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|PolynomialFactorizationExplicit|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *1))) (|isDomain| *3 (|SparseUnivariatePolynomial| *1))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|MatrixManipulation| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|Matrix| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *1 (|SquareMatrixCategory| *3 *4 *5 *6)) (|ofCategory| *5 (|DirectProductCategory| *3 *4)) (|ofCategory| *6 (|DirectProductCategory| *3 *4))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|ComplexCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|OctonionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|QuaternionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *3) (|partial| AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|RationalRetractions| *3)) (|ofCategory| *3 (|RetractableTo| *2))))) 
(((*1 *1 *2 *3 *4) (AND (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *4 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *3) (|:| |exponent| *4)) (|Record| (|:| |index| *3) (|:| |exponent| *4)))) (|isDomain| *1 (|GeneralModulePolynomial| *5 *2 *3 *4 *6 *7)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *2 *4 (|OrderedVariableList| *5)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Vector| *2)) (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *6 (|QuotientFieldCategory| *5)) (|ofCategory| *2 (|Join| (|FramedAlgebra| *6 *7) (|RetractableTo| *6))) (|isDomain| *1 (|FractionalIdeal| *5 *6 *7 *2)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|ContinuedFraction| (|Fraction| (|Integer|)))) (|isDomain| *1 (|BalancedPAdicRational| *3)) (|ofType| *3 (|Integer|)))) ((*1 *1 *2 *3 *3) (AND (|isDomain| *3 (|Stream| *2)) (|ofCategory| *2 (|EuclideanDomain|)) (|isDomain| *1 (|ContinuedFraction| *2)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ContinuedFraction| *3)))) ((*1 *2 *3) (AND (|isDomain| *2 (|ContinuedFraction| (|Integer|))) (|isDomain| *1 (|NumericContinuedFraction| *3)) (|ofCategory| *3 (|FloatingPointSystem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|ContinuedFraction| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PAdicRational| *3)) (|ofType| *3 (|Integer|)))) ((*1 *2 *1) (AND (|ofType| *3 (|Integer|)) (|isDomain| *2 (|ContinuedFraction| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PAdicRationalConstructor| *3 *4)) (|ofCategory| *4 (|PAdicIntegerCategory| *3))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|SmithNormalForm| *5 *6 *4 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *4))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Vector| (|List| (|Record| (|:| |value| (|PrimeField| *3)) (|:| |index| (|SingleInteger|)))))) (|isDomain| *1 (|FiniteFieldNormalBasis| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *2) (AND (|isDomain| *2 (|Vector| (|List| (|Record| (|:| |value| *3) (|:| |index| (|SingleInteger|)))))) (|isDomain| *1 (|FiniteFieldNormalBasisExtensionByPolynomial| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|Union| (|SparseUnivariatePolynomial| *3) *2)))) ((*1 *2) (AND (|isDomain| *2 (|Vector| (|List| (|Record| (|:| |value| *3) (|:| |index| (|SingleInteger|)))))) (|isDomain| *1 (|FiniteFieldNormalBasisExtension| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Segment| (|Integer|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DirichletRing| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|isDomain| *2 (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| *3) (|:| |pow| (|Integer|))))))) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|isDomain| *2 (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| *3) (|:| |pow| (|Integer|))))))) (|isDomain| *1 (|UnivariateFactorize| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3 *4 *2 *5 *6) (AND (|isDomain| *5 (|Record| (|:| |done| (|List| *11)) (|:| |todo| (|List| (|Record| (|:| |val| *3) (|:| |tower| *11)))))) (|isDomain| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|List| *10)) (|:| |tower| *11)))) (|isDomain| *3 (|List| *10)) (|isDomain| *4 (|List| *11)) (|ofCategory| *10 (|RecursivePolynomialCategory| *7 *8 *9)) (|ofCategory| *11 (|RegularTriangularSetCategory| *7 *8 *9 *10)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|OrderedSet|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *7 *8 *9 *10 *11)))) ((*1 *2 *3 *4 *2 *5 *6) (AND (|isDomain| *5 (|Record| (|:| |done| (|List| *11)) (|:| |todo| (|List| (|Record| (|:| |val| *3) (|:| |tower| *11)))))) (|isDomain| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|List| *10)) (|:| |tower| *11)))) (|isDomain| *3 (|List| *10)) (|isDomain| *4 (|List| *11)) (|ofCategory| *10 (|RecursivePolynomialCategory| *7 *8 *9)) (|ofCategory| *11 (|SquareFreeRegularTriangularSetCategory| *7 *8 *9 *10)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|OrderedSet|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *7 *8 *9 *10 *11))))) 
(((*1 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|Integer|))) (|isDomain| *1 (|Infinity|)))) ((*1 *1) (AND (|isDomain| *1 (|OnePointCompletion| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *3 *3 *4 *4 *5 *5 *5 *3 *5 *5 *3 *6 *3 *3 *3) (AND (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *4 *4 *3 *5) (AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|GenusZeroIntegration| *6 *3 *7)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *2 *3 *4 *4 *4 *3 *5) (AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|Fraction| (|SparseUnivariatePolynomial| *3))) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|GenusZeroIntegration| *6 *3 *7)) (|ofCategory| *7 (|SetCategory|))))) 
(((*1 *2) (AND (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|CardinalNumber|)) (|isDomain| *1 (|DirectProductCategory&| *3 *4 *5)) (|ofCategory| *3 (|DirectProductCategory| *4 *5)))) ((*1 *2) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|CardinalNumber|)) (|isDomain| *1 (|FiniteAlgebraicExtensionField&| *3 *4)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FreeNilpotentLie| *3 *4 *5)) (|ofType| *3 *2) (|ofType| *4 *2) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PointCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2) (AND (|ofCategory| *1 (|VectorSpace| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|CardinalNumber|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|PositiveInteger|) (|Boolean|))) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|PositiveInteger|) (|Boolean|))) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Point| *5)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|Point| *3)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|LiePolynomial| *4 *5))) (|isDomain| *1 (|LieExponentials| *4 *5 *6)) (|ofCategory| *5 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *6 (|PositiveInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|)))))) (|isDomain| *1 (|FiniteFieldFunctions| *4))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|FactoringUtilities| *4 *5 *2 *6)) (|ofCategory| *6 (|PolynomialCategory| *2 *4 *5))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|Record| (|:| |close| *1) (|:| |open| (|List| *7))))) (|isDomain| *3 (|List| *7)) (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|WuWenTsunTriangularSet| *3 *4 *5 *6)))) ((*1 *1 *2 *3 *4) (|partial| AND (|isDomain| *2 (|List| *8)) (|isDomain| *3 (|Mapping| (|Boolean|) *8 *8)) (|isDomain| *4 (|Mapping| *8 *8 *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|WuWenTsunTriangularSet| *5 *6 *7 *8))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 *2) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *1 *1 *2 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 *2) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|))))) (|isDomain| *3 (|List| (|OrderedVariableList| *4))) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *1 (|IdealDecompositionPackage| *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|IntegerNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithGroebnerBasis| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Polynomial| *5)))) (|isDomain| *1 (|SystemSolvePackage| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Expression| (|Integer|)))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2) (|partial| AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Record| (|:| |particular| *1) (|:| |basis| (|List| *1)))) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)))) ((*1 *2) (|partial| AND (|isDomain| *2 (|Record| (|:| |particular| (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|:| |basis| (|List| (|GenericNonAssociativeAlgebra| *3 *4 *5 *6))))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|MakeFloatCompiledFunction| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|MakeFloatCompiledFunction| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Mapping| (|Boolean|) *8))) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *8)) (|:| |badPols| (|List| *8)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *5 *6 *7 *8)) (|isDomain| *4 (|List| *8))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *1 (|ComplexTrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *3)))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|TrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *7)) (|:| |badPols| (|List| *7)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|PatternMatchable| *5)) (|isDomain| *2 (|PatternMatchListResult| *5 *6 (|List| *6))) (|isDomain| *1 (|PatternMatch| *5 *6 *4)) (|isDomain| *3 (|List| *6)) (|ofCategory| *4 (|ConvertibleTo| (|Pattern| *5))))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|List| (|Equation| *3))) (|isDomain| *1 (|PatternMatch| *5 *3 *4)) (|ofCategory| *3 (|RetractableTo| (|Symbol|))) (|ofCategory| *3 (|PatternMatchable| *5)) (|ofCategory| *4 (|ConvertibleTo| (|Pattern| *5))))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|List| (|Equation| (|Polynomial| *3)))) (|isDomain| *1 (|PatternMatch| *5 *3 *4)) (|ofCategory| *3 (|Ring|)) (|not| (|ofCategory| *3 (|RetractableTo| (|Symbol|)))) (|ofCategory| *3 (|PatternMatchable| *5)) (|ofCategory| *4 (|ConvertibleTo| (|Pattern| *5))))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|PatternMatchResult| *5 *3)) (|isDomain| *1 (|PatternMatch| *5 *3 *4)) (|not| (|ofCategory| *3 (|RetractableTo| (|Symbol|)))) (|not| (|ofCategory| *3 (|Ring|))) (|ofCategory| *3 (|PatternMatchable| *5)) (|ofCategory| *4 (|ConvertibleTo| (|Pattern| *5)))))) 
(((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *1)) (|isDomain| *4 (|Vector| *1)) (|ofCategory| *1 (|LinearlyExplicitRingOver| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |mat| (|Matrix| *5)) (|:| |vec| (|Vector| *5)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *1)) (|ofCategory| *1 (|LinearlyExplicitRingOver| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Matrix| *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|List| *7) (|List| *7))) (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7))))) 
(((*1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|OrderedCompletion| *3))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|OrderedCompletion| *3) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| *3) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| *3) "failed"))) "failed")) (|isDomain| *1 (|PowerSeriesLimitPackage| *5 *3)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Equation| *3)) (|isDomain| *5 (|String|)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|OrderedCompletion| *3)) (|isDomain| *1 (|PowerSeriesLimitPackage| *6 *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|OrderedCompletion| (|Polynomial| *5)))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| *5))) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| *5))) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| *5))) "failed"))) "failed")) (|isDomain| *1 (|RationalFunctionLimitPackage| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|Fraction| (|Polynomial| *5)))) (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|Union| (|OrderedCompletion| *3) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| *3) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| *3) "failed"))) "failed")) (|isDomain| *1 (|RationalFunctionLimitPackage| *5)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Equation| (|Fraction| (|Polynomial| *6)))) (|isDomain| *5 (|String|)) (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|OrderedCompletion| *3)) (|isDomain| *1 (|RationalFunctionLimitPackage| *6))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|EllipticFunctionsUnivariateTaylorSeries| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpaceComponentProperty|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TubePlot| *3)) (|ofCategory| *3 (|PlottableSpaceCurveCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|InfiniteProductCharacteristicZero| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| (|Integer|)))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|MonogenicAlgebra| *3 *4)) (|isDomain| *1 (|InfiniteProductFiniteField| *3 *4 *5 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *5)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *1 (|InfiniteProductPrimeField| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|StreamInfiniteProduct| *3))))) 
(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Boolean|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ApplicationProgramInterface|))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| *5 *3)) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *3 (|ComplexCategory| *6)) (|ofCategory| (|Polynomial| *6) (|PatternMatchable| *5)) (|ofCategory| *6 (|Join| (|PatternMatchable| *5) (|CommutativeRing|))) (|isDomain| *1 (|ComplexPatternMatch| *5 *6 *3)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *2 (|PatternMatchResult| *4 *1)) (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *1 (|PatternMatchable| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| *5 *6)) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Join| (|SetCategory|) (|RetractableTo| *3))) (|ofCategory| *3 (|PatternMatchable| *5)) (|isDomain| *1 (|PatternMatchPushDown| *5 *3 *6)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| *5 *3)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|ConvertibleTo| *4) (|PatternMatchable| *5) (|RetractableTo| (|Kernel| $)))) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|PatternMatchable| *5))) (|isDomain| *1 (|PatternMatchFunctionSpace| *5 *6 *3)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| (|Integer|) *3)) (|isDomain| *4 (|Pattern| (|Integer|))) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *1 (|PatternMatchIntegerNumberSystem| *3)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| *5 *6)) (|isDomain| *3 (|Kernel| *6)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|RetractableTo| (|Kernel| $)) (|ConvertibleTo| *4) (|PatternMatchable| *5))) (|isDomain| *4 (|Pattern| *5)) (|isDomain| *1 (|PatternMatchKernel| *5 *6)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchListResult| *5 *6 *3)) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|PatternMatchable| *5)) (|ofCategory| *3 (|ListAggregate| *6)) (|isDomain| *1 (|PatternMatchListAggregate| *5 *6 *3)))) ((*1 *2 *3 *4 *2 *5) (AND (|isDomain| *5 (|Mapping| (|PatternMatchResult| *6 *3) *8 (|Pattern| *6) (|PatternMatchResult| *6 *3))) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *2 (|PatternMatchResult| *6 *3)) (|isDomain| *4 (|Pattern| *6)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *3 (|Join| (|PolynomialCategory| *9 *7 *8) (|ConvertibleTo| *4))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|Join| (|Ring|) (|OrderedSet|) (|PatternMatchable| *6))) (|isDomain| *1 (|PatternMatchPolynomialCategory| *6 *7 *8 *9 *3)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| *5 *3)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *3 (|Join| (|PolynomialCategory| *8 *6 *7) (|ConvertibleTo| *4))) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *7 (|PatternMatchable| *5)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|Join| (|Ring|) (|OrderedSet|) (|PatternMatchable| *5))) (|isDomain| *1 (|PatternMatchPolynomialCategory| *5 *6 *7 *8 *3)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| *5 *3)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *3 (|QuotientFieldCategory| *6)) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|PatternMatchable| *5) (|ConvertibleTo| *4))) (|isDomain| *4 (|Pattern| *5)) (|isDomain| *1 (|PatternMatchQuotientFieldCategory| *5 *6 *3)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|PatternMatchResult| *5 (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *1 (|PatternMatchSymbol| *5)))) ((*1 *2 *3 *4 *5 *2 *6) (AND (|isDomain| *4 (|List| (|Pattern| *7))) (|isDomain| *5 (|Mapping| *9 (|List| *9))) (|isDomain| *6 (|Mapping| (|PatternMatchResult| *7 *9) *9 (|Pattern| *7) (|PatternMatchResult| *7 *9))) (|ofCategory| *7 (|SetCategory|)) (|ofCategory| *9 (|Join| (|Ring|) (|ConvertibleTo| (|Pattern| *7)) (|RetractableTo| *8))) (|isDomain| *2 (|PatternMatchResult| *7 *9)) (|isDomain| *3 (|List| *9)) (|ofCategory| *8 (|Join| (|Ring|) (|OrderedSet|))) (|isDomain| *1 (|PatternMatchTools| *7 *8 *9))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DoubleFloat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IndexedString| *3)) (|ofType| *3 *2))) ((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SetCategory|)) (|isDomain| *2 (|SingleInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7))))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|EuclideanDomain|)) (|ofCategory| *3 (|QuotientFieldCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|FractionalIdeal| *2 *3 *4 *5)) (|ofCategory| *5 (|Join| (|FramedAlgebra| *3 *4) (|RetractableTo| *3)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Any|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *4 *2 *2 *2 *5) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *5 (|List| *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *6) (|AbelianMonoid|) (|RetractableTo| (|Integer|)) (|RetractableTo| *4) (|PartialDifferentialRing| *4) (|CombinatorialOpsCategory|))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *1 (|RecurrenceOperator| *6 *2))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|String|))) (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|UnivariatePolynomial| *5 *4)) (|isDomain| *1 (|SparseUnivariateTaylorSeries| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|UnivariatePolynomial| (QUOTE |x|) *4)) (|isDomain| *1 (|UnivariateFormalPowerSeries| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|UnivariatePolynomial| *5 *4)) (|isDomain| *1 (|UnivariateTaylorSeries| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|UnivariatePolynomial| *5 *4)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofType| *5 (|Symbol|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *2 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *5 (|RecursivePolynomialCategory| *3 *4 *2))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|d01WeightsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *3 *6 *7)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| *4)) (|ofCategory| *4 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|PureAlgebraicLODE| *5 *6 *7 *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionSpace| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))))) (|ofCategory| *7 (|OrderedRing|)) (|ofCategory| *8 (|Join| (|UnivariatePowerSeriesCategory| *3 *7) (|Field|) (|TranscendentalFunctionCategory|) (CATEGORY |domain| (SIGNATURE |differentiate| ($ $)) (SIGNATURE |integrate| ($ $))))) (|isDomain| *2 (|Union| (|:| |%series| *8) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|)))))) (|isDomain| *1 (|FunctionSpaceToUnivariatePowerSeries| *6 *3 *7 *8 *9 *10)) (|isDomain| *5 (|String|)) (|ofCategory| *9 (|PartialTranscendentalFunctions| *8)) (|ofType| *10 (|Symbol|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *2 *3 *3 *4 *4 *4 *4 *3 *3 *3 *3 *5 *3 *6) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp30| APROD)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|GaussianFactorizationPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FunctionSpace| *2)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|MyExpression| *2 *3)) (|ofType| *2 (|Symbol|)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *2 *1) (|partial| AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PrincipalIdealDomain|))))) 
(((*1 *2 *3 *3 *3 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4 *4 *4 *5 *4 *6 *6 *3) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *2 *4 *5 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *2)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|))))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *1 (|FileCategory| *2 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|FileCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpaceComponentProperty|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|FreeGroup| (|BasicOperator|))) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *2 *4)) (|ofCategory| *4 (|LeftModule| *2)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|FreeGroup| (|BasicOperator|))) (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|CommuteUnivariatePolynomialCategory| *3 *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Palette|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|InputForm|))) (|isDomain| *1 (|InputForm|))))) 
(((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 *2) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *2 *4)) (|ofCategory| *2 (|FiniteLinearAggregate| *3)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|SquareMatrix| *2 *3)) (|ofType| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *3 *3 *3 *3 *3 *4 *4 *4 *3 *3 *5 *6 *3 *6 *6 *5 *6 *6 *6 *6 *5 *3 *3 *3 *3 *3 *6 *6 *6 *3 *3 *3 *3 *3 *7 *4 *4 *4 *4 *3 *8 *9) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Boolean|)) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *7 (|Matrix| (|Integer|))) (|isDomain| *8 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp55| CONFUN)))) (|isDomain| *9 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp49| OBJFUN)))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Equation| *3))) (|isDomain| *1 (|Equation| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *5)) (|isDomain| *1 (|PolToPol| *4 *5)) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|StreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|InputForm|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|MakeFunction| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *2 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|MakeFunction| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *2 *2 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|MakeFunction| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *2 *4) (AND (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|MakeFunction| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *8)) (|:| |badPols| (|List| *8)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *5 *6 *7 *8)) (|isDomain| *4 (|List| *8))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|ParametricLinearEquations| *3 *4 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| *3 *5 *4))))) 
(((*1 *2 *3 *1) (|partial| AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *2))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|RealNumberSystem|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|RealNumberSystem|)))) ((*1 *1 *1) (|ofCategory| *1 (|OrderedRing|))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|RealNumberSystem|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|))) ((*1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Complex| *4)) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|IndexedBits| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FreeLieAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|CommutativeRing|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|LieExponentials| *2 *3 *4)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *4 (|PositiveInteger|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|not| (|has| *1 (ATTRIBUTE |arbitraryPrecision|))) (|not| (|has| *1 (ATTRIBUTE |arbitraryExponent|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|OrderedSet|))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PriorityQueueAggregate| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| "left" "center" "right" "vertical" "horizontal")) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|DirectProductCategory| *8 (|NonNegativeInteger|))) (|ofType| *8 (|NonNegativeInteger|)) (|isDomain| *2 (|List| (|List| *3))) (|isDomain| *1 (|NewtonPolygon| *6 *3 *7 *8)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *6 *7))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *2 *2 *2 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OpenMathConnection|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathServerPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FloatingPointSystem&| *3)) (|ofCategory| *3 (|FloatingPointSystem|)))) ((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FloatingPointSystem&| *3)) (|ofCategory| *3 (|FloatingPointSystem|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|)) (|ofCategory| *1 (|FloatingPointSystem|)))) ((*1 *2) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Stream| (|Integer|)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |polyPart| (|LaurentPolynomial| *4 *5)) (|:| |fracPart| (|Fraction| *5)))) (|isDomain| *1 (|LaurentPolynomial| *4 *5)) (|isDomain| *3 (|Fraction| *5)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|SubSpace| *3 *4))) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |primePart| *1) (|:| |commonPart| *1))) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *2 *4) (|partial| AND (|isDomain| *3 (|List| (|Kernel| *2))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *5 *2))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|FunctionSpace| *4)) (|isDomain| *2 (|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|)))) (|isDomain| *1 (|FunctionSpaceUnivariatePolynomialFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|CliffordAlgebra| *3 *4 *5)) (|ofType| *3 *2) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|QuadraticForm| *3 *4))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|d01WeightsPackage|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|BasicType|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2 *2) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Reference| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateFormalPowerSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpertSystemContinuityPackage1| *4 *5)) (|ofType| *4 *3) (|ofType| *5 *3))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2 *3 *4 *5 *4 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *7 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *7 (|Matrix| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FunctionFieldCategory&| *3 *4 *5 *6)) (|ofCategory| *3 (|FunctionFieldCategory| *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|XDistributedPolynomial| (|Symbol|) *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|XPolynomial| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|XRecursivePolynomial| *3 *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *3 *4 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *3 *4 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Set| (|NonNegativeInteger|))) (|isDomain| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| *3) (|:| |pow| (|Integer|))))))) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|PolynomialCategory| *5 *4 *2)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *2 *5 *6 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *6)) (SIGNATURE |numer| (*6 $)) (SIGNATURE |denom| (*6 $))))))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RationalFunction| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|PolynomialCategory| *3 *5 *4)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *2)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))))) 
(((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|PartialDifferentialRing| *6)) (|isDomain| *2 (|Matrix| *7)) (|isDomain| *1 (|MultiVariableCalculusFunctions| *6 *7 *3 *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *7)) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *6) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|))))))) 
(((*1 *2 *3 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|LinearlyExplicitRingOver| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Vector| *5)) (|isDomain| *1 (|LinearDependence| *5 *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|LinearlyExplicitRingOver| *5)) (|not| (|ofCategory| *5 (|Field|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Vector| (|Fraction| *5))) (|isDomain| *1 (|LinearDependence| *5 *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|List| (|NonNegativeInteger|)))))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Segment| *3)) (|isDomain| *1 (|SegmentBinding| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *2) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|UniversalSegment| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|))))) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IdealDecompositionPackage| *4 *5))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|FiniteDivisor| *5 *6 *7 *8)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|ofCategory| *8 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| *8))) (|isDomain| *1 (|PointsOfFiniteOrder| *4 *5 *6 *7 *8)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|FiniteDivisor| (|Fraction| (|Integer|)) *4 *5 *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| (|Fraction| (|Integer|)) *4 *5)) (|isDomain| *2 (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| *6))) (|isDomain| *1 (|PointsOfFiniteOrderRational| *4 *5 *6))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Mapping| *7 *5 *6)) (|isDomain| *1 (|MakeBinaryCompiledFunction| *3 *5 *6 *7)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *1 (|MakeUnaryCompiledFunction| *3 *5 *6)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|ofCategory| *1 (|Finite|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|ModuleMonomial| *2 *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofType| *4 (|Mapping| (|Boolean|) (|Record| (|:| |index| *2) (|:| |exponent| *3)) (|Record| (|:| |index| *2) (|:| |exponent| *3))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *1) (|isDomain| *1 (|Void|)))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|Float|)))) (|isDomain| *2 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|TemplateUtilities|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|TaylorSeries| *5))) (|isDomain| *1 (|WeierstrassPreparation| *5)) (|isDomain| *4 (|TaylorSeries| *5))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TubePlot| *3)) (|ofCategory| *3 (|PlottableSpaceCurveCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|List| *4))) (|isDomain| *1 (|TableauxBumpers| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Expression| *5))) (|isDomain| *1 (|RadicalSolvePackage| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|List| (|Expression| *5)))) (|isDomain| *1 (|RadicalSolvePackage| *5))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|Vector| (|Symbol|))) (|isDomain| *3 (|Vector| (|GenericNonAssociativeAlgebra| *4 *5 *6 *7))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *4 *5 *6 *7)) (|ofCategory| *4 (|CommutativeRing|)) (|ofType| *5 (|PositiveInteger|)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|Vector| (|Matrix| *4))))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|GenericNonAssociativeAlgebra| *4 *5 *6 *7))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *4 *5 *6 *7)) (|ofCategory| *4 (|CommutativeRing|)) (|ofType| *5 (|PositiveInteger|)) (|ofType| *6 (|List| *2)) (|ofType| *7 (|Vector| (|Matrix| *4))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|GenericNonAssociativeAlgebra| *3 *4 *5 *6))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Symbol|))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| *2)) (|ofType| *6 (|Vector| (|Matrix| *3))))) ((*1 *1) (AND (|isDomain| *1 (|GenericNonAssociativeAlgebra| *2 *3 *4 *5)) (|ofCategory| *2 (|CommutativeRing|)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|Vector| (|Matrix| *2)))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|NonCommutativeOperatorDivision| *2 *3)) (|ofCategory| *2 (|MonogenicLinearOperator| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|IntegralDomain|)))) 
(((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|ofCategory| *3 (|CommutativeRing|))))) 
(((*1 *1 *1) (|partial| AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Monoid|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *3 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *4)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *2 (|PolynomialCategory| *4 *6 *5)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *2)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|))))) 
(((*1 *1) (|ofCategory| *1 (|Aggregate|))) ((*1 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1) (AND (|ofCategory| *2 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3)))) ((*1 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (|isDomain| *1 (|TheSymbolTable|))) ((*1 *1) (|isDomain| *1 (|SymbolTable|)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *4))) (|isDomain| *1 (|CommonDenominator| *4 *5 *3)) (|ofCategory| *3 (|FiniteLinearAggregate| *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|isDomain| *2 (|Record| (|:| |num| *6) (|:| |den| *4))) (|isDomain| *1 (|InnerCommonDenominator| *4 *5 *6 *3)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *5)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |num| (|Matrix| *4)) (|:| |den| *4))) (|isDomain| *1 (|MatrixCommonDenominator| *4 *5)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Record| (|:| |eq| *7) (|:| |rh| (|List| (|Fraction| *6))))) (|isDomain| *1 (|PrimitiveRatDE| *5 *6 *7 *3)) (|isDomain| *4 (|List| (|Fraction| *6))) (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| *6)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *6))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *4))) (|isDomain| *1 (|UnivariatePolynomialCommonDenominator| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Stream| (|Polynomial| *4)) (|Stream| (|Polynomial| *4)))) (|isDomain| *1 (|WeierstrassPreparation| *4)) (|ofCategory| *4 (|Field|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|SortedCache| *3)) (|ofCategory| *3 (|CachableSet|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Mapping| (|Boolean|) *8))) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *8)) (|:| |badPols| (|List| *8)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *5 *6 *7 *8)) (|isDomain| *4 (|List| *8))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *1 *4) (AND (|isDomain| *3 (|SplittingNode| *5 *6)) (|isDomain| *4 (|Mapping| (|Boolean|) *6 *6)) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *6 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingTree| *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|ODETools| *4 *5)) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|ODETools| *5 *6)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *5 *6 *5 *4 *7 *3) (AND (|isDomain| *4 (|Matrix| (|Integer|))) (|isDomain| *5 (|Boolean|)) (|isDomain| *7 (|Matrix| (|DoubleFloat|))) (|isDomain| *3 (|Integer|)) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Tree| *3))) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|IntegralBasisTools| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4))))) 
(((*1 *2 *3 *4 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|FractionFreeFastGaussian| *3 *5)) (|ofCategory| *5 (|AbelianMonoidRing| *3 *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Vector| *5)) (|ofCategory| *5 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderingFunctions| *4 *5)) (|ofType| *4 (|NonNegativeInteger|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|UserDefinedVariableOrdering|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *4 (|MonogenicAlgebra| *5 *7)) (|isDomain| *2 (|Record| (|:| |mat| (|Matrix| *6)) (|:| |vec| (|Vector| *5)))) (|isDomain| *1 (|ReduceLODE| *5 *6 *7 *4 *3)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|List| (|List| *4)))) (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|TableauxBumpers| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|EuclideanDomain|)) (|isDomain| *2 (|Fraction| (|Factored| (|Polynomial| *4)))) (|isDomain| *1 (|RationalFunctionFactorizer| *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|FortranPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Stack| (|String|))) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FlexibleArray| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IndexedFlexibleArray| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofType| *4 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| *4))))) 
(((*1 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|PatternMatchListResult| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *4 (|ListAggregate| *3)))) ((*1 *1) (AND (|isDomain| *1 (|PatternMatchResult| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |coef1| *1) (|:| |coef2| *1) (|:| |generator| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Mapping| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *7 (|PolynomialCategory| *6 *5 *3)) (|isDomain| *1 (|GosperSummationMethod| *5 *3 *6 *7 *2)) (|ofCategory| *2 (|Join| (|RetractableTo| (|Fraction| (|Integer|))) (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $)))))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Record| (|:| |zeros| (|Stream| (|DoubleFloat|))) (|:| |ones| (|Stream| (|DoubleFloat|))) (|:| |singularities| (|Stream| (|DoubleFloat|))))) (|isDomain| *1 (|BasicFunctions|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Record| (|:| |max| (|Union| (|Integer|) "failed")) (|:| |ord| (|Union| (|Integer|) "failed")) (|:| |ker| (|Kernel| *5)))) (|isDomain| *1 (|RecurrenceOperator| *6 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *6) (|AbelianMonoid|) (|RetractableTo| (|Integer|)) (|RetractableTo| *4) (|PartialDifferentialRing| *4) (|CombinatorialOpsCategory|)))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)))) ((*1 *1 *1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *1 *1) (|ofCategory| *1 (|DivisionRing|))) ((*1 *1 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *2 *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *3 *3 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *3 "failed") *3 *3 *4)))) ((*1 *1 *1) (OR (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Type|))) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Group|)) (|ofCategory| *2 (|Type|))))) ((*1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Join| (|Field|) (|OrderedSet|))) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3) (|isDomain| *1 (|ExponentialOfUnivariatePuiseuxSeries| *3 *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|)) (|isDomain| *3 (|Float|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FunctionFieldCategory&| *4 *3 *5 *6)) (|ofCategory| *4 (|FunctionFieldCategory| *3 *5 *6)))) ((*1 *2 *3 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2 *2 *2) (AND (|isDomain| *1 (|ParametricSurface| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *2 *2) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|UniversalSegment| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Matrix| *4))) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| (|Polynomial| *4)))) (|isDomain| *1 (|CoerceVectorMatrixPackage| *4))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|GraphImage|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *1 *1) (|isDomain| *1 (|TwoDimensionalViewport|)))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Fraction| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|PrimitiveRatDE| *5 *2 *3 *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|PrimitiveRatDE| *5 *2 *3 *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *2)))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|PrimitiveArray| (|ModMonic| *3 *4))) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *3 *4 *5) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *5 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|OrderedFreeMonoid| *3)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|OrderedMonoid|)) (|isDomain| *1 (|XPolynomialRing| *3 *2)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedDirectProductCategory| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *3 (|String|)) (|isDomain| *1 (|AttributeButtons|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *3 (|String|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| (|FortranType|))))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *1 *1 *2 *3 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *2))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2 *3 *4 *4 *4 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|InputForm|)) (|isDomain| *1 (|InputFormFunctions1| *4)) (|ofCategory| *4 (|Type|))))) 
(((*1 *2 *1 *2) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *2 *7 *8 *9 *10)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *2 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *7 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *8 (|PlacesCategory| *3 *7)) (|ofCategory| *9 (|DivisorCategory| *8)) (|ofCategory| *10 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|UnivariatePolynomial| *5 *4))) (|isDomain| *1 (|SturmHabichtPackage| *4 *5)) (|isDomain| *3 (|UnivariatePolynomial| *5 *4))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Matrix| *4))) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *4))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|LyndonWord| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlottableSpaceCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|)))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| (|Kernel| *6))) (|isDomain| *1 (|IntegrationTools| *5 *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)))) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)))) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *2 *1 *3 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *3 *3 *4 *4 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)))) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *3 *3 *3 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *1 *2) (AND (|ofCategory| *1 (|FileCategory| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|EllipticFunctionsUnivariateTaylorSeries| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|MyExpression| *3 *4)) (|ofType| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteAlgebraicExtensionField&| *3 *4)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *2 *4) (AND (|isDomain| *3 (|Matrix| *2)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *2 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *2)) (|isDomain| *1 (|IntegralBasisTools| *2 *5 *6)) (|ofCategory| *6 (|FramedAlgebra| *2 *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|BinaryExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DecimalExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|HexadecimalExpansion|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|SymbolTable|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (|isDomain| *1 (|InputForm|)))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *5 (|Vector| (|List| *3))) (|ofCategory| *4 (|EuclideanDomain|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|GenExEuclid| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *3 *3 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *1 (|BlasLevelOne|)) (|isDomain| *3 (|DoubleFloat|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|NumberTheoreticPolynomialFunctions| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|IntegrationFunctionsTable|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|HallBasis|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|List| *2)) (|isDomain| *1 (|BasicOperatorFunctions1| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Mapping| *4 (|List| *4))) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|BasicOperatorFunctions1| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|BasicOperatorFunctions1| *4)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Mapping| *4 (|List| *4))) (|isDomain| *1 (|BasicOperatorFunctions1| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *4 (|LeftModule| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *3 *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|Operator| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *6 (|ConvertibleTo| (|Symbol|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|SuchThat| (|List| (|Polynomial| *4)) (|List| (|Equation| (|Polynomial| *4))))) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *7))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Complex| *3)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|InputForm|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Expression| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| "skip" "MonteCarlo" "deterministic")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| "skip" "MonteCarlo" "deterministic")) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| *6)) (|:| |exponent| (|Integer|))))) (|ofCategory| *6 (|EuclideanDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Tableau| (|List| *4))) (|isDomain| *1 (|TableauxBumpers| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *1 (|PointCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| *7)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *2 *3 *4 *5 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|StringCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Aggregate|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|XPolynomialRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedMonoid|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *2)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *2)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Integer|)) (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *6 *2)) (|ofCategory| *6 (|Type|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *3 (|PartialDifferentialRing| *5)) (|isDomain| *2 (|Vector| *3)) (|isDomain| *1 (|MultiVariableCalculusFunctions| *5 *3 *6 *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *3)) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *2 *10)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DivisorCategory| *9))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|NewtonPolygon| *4 *3 *5 *6))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryIntegration| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3) (|partial| AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |ratpart| (|Fraction| *5)) (|:| |coeff| (|Fraction| *5)))) (|isDomain| *1 (|RationalIntegration| *4 *5)) (|isDomain| *3 (|Fraction| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|String|)) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *9 (|PlacesCategory| *4 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *3 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *3 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|d03AgentsPackage|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|BasicOperator|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|Kernel| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OrderedVariableList| *3)) (|ofType| *3 (|List| *2)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|QueryEquation|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|SegmentBinding| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Symbol|)))) ((*1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Variable| *3)) (|ofType| *3 *2)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Multiset| *3)))) ((*1 *1 *2) (AND (|isDomain| *1 (|Multiset| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|Multiset| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4 *5 *5 *5 *6 *4 *4 *4 *5 *4 *5 *7) (AND (|isDomain| *3 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *7 (|Matrix| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|PseudoAlgebraicClosureOfRationalNumber|)) (|isDomain| *1 (|PseudoAlgebraicClosureOfAlgExtOfRationalNumber| *3)) (|ofType| *3 *2)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *3 *4 *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Expression| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3 *5 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPartialDifferentialEquationsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|RadixUtilities|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| (|Integer|)))) (|isDomain| *1 (|CyclotomicPolynomialPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|PositiveInteger|))) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|FileName|)) (|isDomain| *1 (|Library|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *6 (|Join| (|AlgebraicallyClosedField|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|ofCategory| *8 (|UnivariatePolynomialCategory| (|Fraction| *7))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|AlgebraicIntegrate| *5 *6 *7 *8 *3)) (|ofCategory| *3 (|FunctionFieldCategory| *6 *7 *8))))) 
(((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|String|)) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *5 *7)) (|isDomain| *4 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|IntegralBasisPolynomialTools| *5 *2 *6 *7)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *7 *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|SparseUnivariatePolynomial| *7)) (|isDomain| *1 (|IntegralBasisPolynomialTools| *5 *4 *6 *7)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|GraphImage|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *6 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|ofType| *7 (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *6)) (|Record| (|:| |index| *5) (|:| |exponent| *6)))) (|isDomain| *2 (|ModuleMonomial| *5 *6 *7)) (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *5 *6 *7 *8)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *8 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *3))))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Monoid|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|MonoidRing| *3 *2)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|PowerSeriesCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Integer|) (|Integer|))) (|isDomain| *1 (|FreeGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|NonNegativeInteger|) (|NonNegativeInteger|))) (|isDomain| *1 (|FreeMonoid| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *2 *4 *5) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *5 (|PositiveInteger|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|EuclideanDomain|)) (|isDomain| *1 (|GeneralHenselPackage| *4 *3))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| (|Mapping| *4 (|List| *4)))) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|BasicOperatorFunctions1| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|BasicOperatorFunctions1| *4)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|List| (|Mapping| *4 (|List| *4)))) (|isDomain| *1 (|BasicOperatorFunctions1| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *1 *2 *3 *1 *3) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|BalancedPAdicRational| *3)) (|ofType| *3 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|BalancedPAdicRational| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PAdicRational| *3)) (|ofType| *3 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|PAdicRational| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|ofType| *3 *2) (|isDomain| *1 (|PAdicRationalConstructor| *3 *4)) (|ofCategory| *4 (|PAdicIntegerCategory| *3)))) ((*1 *1 *1) (AND (|ofType| *2 (|Integer|)) (|isDomain| *1 (|PAdicRationalConstructor| *2 *3)) (|ofCategory| *3 (|PAdicIntegerCategory| *2)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|UnivariateTaylorSeriesCategory| *2))))) 
(((*1 *2 *3 *4 *5 *5 *4 *6) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|List| (|BasicOperator|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Result|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|RoutinesTable|))) ((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|Stream| *4))) (|isDomain| *2 (|Stream| *4)) (|isDomain| *1 (|StreamFunctions1| *4)) (|ofCategory| *4 (|Type|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PatternMatchAssertions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAssertions| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|Expression| (|Complex| (|Float|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|Expression| (|Float|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|Expression| (|Integer|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|Expression| (|Complex| (|Float|))))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|Expression| (|Float|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|Expression| (|Integer|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|Expression| (|Complex| (|Float|))))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|Expression| (|Float|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|Expression| (|Integer|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Expression| (|Complex| (|Float|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Expression| (|Integer|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|Expression| (|MachineComplex|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|Expression| (|MachineFloat|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|Expression| (|MachineInteger|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|Expression| (|MachineComplex|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|Expression| (|MachineFloat|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|Expression| (|MachineInteger|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|Expression| (|MachineComplex|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|Expression| (|MachineFloat|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|Expression| (|MachineInteger|)))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|MachineComplex|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|MachineFloat|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Vector| (|MachineInteger|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|MachineComplex|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|MachineFloat|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Matrix| (|MachineInteger|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Expression| (|MachineComplex|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Expression| (|MachineFloat|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Expression| (|MachineInteger|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|String|)) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1 *1) (|partial| AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|GradedAlgebra| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *1) (|isDomain| *1 (|InputForm|))) ((*1 *1) (|ofCategory| *1 (|MonadWithUnit|))) ((*1 *1) (|ofCategory| *1 (|Monoid|))) ((*1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |discriminant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |lcmfij| *4) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *6) (|:| |polj| *6)))) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *3 *4 *5 *6))))) 
(((*1 *1) (AND (|isDomain| *1 (|DirichletRing| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Polynomial| (|Integer|))) (|isDomain| *5 (|List| (|Symbol|))) (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *2 *6)) (|ofCategory| *6 (|Type|)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Table| (|PositiveInteger|) (|NonNegativeInteger|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Set| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Mapping| *4)) (|isDomain| *1 (|RandomDistributions| *4)))) ((*1 *2 *3 *3) (AND (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|)) (|isDomain| *3 (|Float|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|Integer|))) (|isDomain| *2 (|Mapping| (|Integer|))) (|isDomain| *1 (|RandomIntegerDistributions|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Vector| *5))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Vector| *5)) (|isDomain| *1 (|RepresentationPackage2| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Finite|)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *1 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7))))) 
(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| (|WuWenTsunTriangularSet| *4 *5 *6 *7))) (|isDomain| *1 (|WuWenTsunTriangularSet| *4 *5 *6 *7)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| *9)) (|isDomain| *4 (|Mapping| (|Boolean|) *9 *9)) (|isDomain| *5 (|Mapping| *9 *9 *9)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *2 (|List| (|WuWenTsunTriangularSet| *6 *7 *8 *9))) (|isDomain| *1 (|WuWenTsunTriangularSet| *6 *7 *8 *9))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|List| (|Vector| *4))) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Vector| *3)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|Union| (|List| *7) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithGroebnerBasis| *4 *5 *3 *6 *7)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|Union| (|List| *7) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *3 *6 *7)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *6 *7 *8)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|KeyedDictionary| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3 *4 *5 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|List| (|List| (|DoubleFloat|)))) (|isDomain| *1 (|TubePlotTools|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|ConvertibleTo| (|Pattern| (|Integer|)))) (|ofCategory| *5 (|PatternMatchable| (|Integer|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|GcdDomain|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |special| *3) (|:| |integrand| *3))) (|isDomain| *1 (|PatternMatchIntegration| *5 *3)) (|ofCategory| *3 (|LiouvillianFunctionCategory|)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|TrigonometricFunctionCategory|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *5)))) (|isDomain| *1 (|TwoFactorize| *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *5)))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|VectorCategory| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|DisplayPackage|)) (|isDomain| *3 (|String|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|DisplayPackage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *1 (|Product| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|BasicStochasticDifferential|))) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *3 *4 *5 *3 *6) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp6| FCN)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagRootFindingPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5 *4)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *1 (|MappingPackage3| *5 *4 *6))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|CRApackage| *3))))) 
(((*1 *1 *2 *3 *3 *4 *4) (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Segment| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PlaneAlgebraicCurvePlot|))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|Comparable|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|List| (|List| *4)))) (|isDomain| *1 (|TableauxBumpers| *4)) (|isDomain| *3 (|List| (|List| *4)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *2 *1 *3 *4) (AND (|isDomain| *2 (|List| *8)) (|isDomain| *3 (|Mapping| *8 *8 *8)) (|isDomain| *4 (|Mapping| (|Boolean|) *8 *8)) (|ofCategory| *1 (|TriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *6 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *7 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *8 (|PlacesCategory| *3 *7)) (|ofCategory| *9 (|DivisorCategory| *8)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *3 *4 *2 *5 *6 *7 *8 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|PolynomialCategory| *3 *5 (|OrderedVariableList| *4))) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *2 *5 *6 *7 *8 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *3)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *3)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))))) (|isDomain| *1 (|IntegrationFunctionsTable|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|KeyedDictionary| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))))) (|isDomain| *1 (|ODEIntensityFunctionsTable|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Matrix| (|Fraction| *4)))))) 
(((*1 *1 *1) (|partial| |ofCategory| *1 (|CharacteristicNonZero|))) ((*1 *1 *1) (|ofCategory| *1 (|FiniteFieldCategory|))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|CharacteristicNonZero|)) (|ofCategory| *1 (|PolynomialFactorizationExplicit|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|PackageForPoly| *2 *3 *5 *6)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *2 *5))))) 
(((*1 *1 *2 *1) (|partial| AND (|isDomain| *2 (|BasicStochasticDifferential|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *3 *3 *3 *3 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagRootFindingPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Point| (|DoubleFloat|)))) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *2 (|Plot|)) (|isDomain| *1 (|PlotFunctions1| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Plot|)) (|isDomain| *1 (|PlotFunctions1| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|)))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Float|))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NumericalOptimizationProblem|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Expression| (|Float|)))) (|isDomain| *4 (|List| (|Float|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|))))) 
(((*1 *1 *1) (|isDomain| *1 (|Switch|))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2 *3 *4 *4 *5 *6) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *4 (|Palette|)) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *6 (|List| (|DrawOption|))) (|isDomain| *2 (|GraphImage|)) (|isDomain| *1 (|ViewportPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *2 (|GraphImage|)) (|isDomain| *1 (|ViewportPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *4 (|List| (|DrawOption|))) (|isDomain| *2 (|GraphImage|)) (|isDomain| *1 (|ViewportPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |lcmfij| *5) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *2) (|:| |polj| *2))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *2)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *6 (|OrderedSet|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|String|)) (|isDomain| *6 (|List| (|DrawOption|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GnuDraw|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GnuDraw|)))) ((*1 *2 *3 *4 *4 *5 *6) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|String|)) (|isDomain| *6 (|List| (|DrawOption|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GnuDraw|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GnuDraw|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Color|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|List| (|Equation| (|Polynomial| *4))))) (|isDomain| *1 (|FloatingRealPackage| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Equation| (|Fraction| (|Polynomial| (|Integer|)))))) (|isDomain| *2 (|List| (|List| (|Equation| (|Polynomial| *4))))) (|isDomain| *1 (|FloatingRealPackage| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Integer|)))) (|isDomain| *2 (|List| (|Equation| (|Polynomial| *4)))) (|isDomain| *1 (|FloatingRealPackage| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Equation| (|Polynomial| *4)))) (|isDomain| *1 (|FloatingRealPackage| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *5 (|Symbol|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|isDomain| *2 (|Record| (|:| |particular| *4) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|ElementaryFunctionLODESolver| *6 *4 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4)))) ((*1 *2 *3 *2 *4 *2 *5) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|List| *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|ElementaryFunctionLODESolver| *6 *2 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *2)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|LinearSystemMatrixPackage| *5 *6 *4 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *4)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|ofCategory| *7 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|isDomain| *2 (|List| (|Record| (|:| |particular| (|Union| *7 "failed")) (|:| |basis| (|List| *7))))) (|isDomain| *1 (|LinearSystemMatrixPackage| *5 *6 *7 *3)) (|isDomain| *4 (|List| *7)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |particular| (|Union| (|Vector| *5) "failed")) (|:| |basis| (|List| (|Vector| *5))))) (|isDomain| *1 (|LinearSystemMatrixPackage1| *5)) (|isDomain| *4 (|Vector| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|List| *5))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |particular| (|Union| (|Vector| *5) "failed")) (|:| |basis| (|List| (|Vector| *5))))) (|isDomain| *1 (|LinearSystemMatrixPackage1| *5)) (|isDomain| *4 (|Vector| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|Record| (|:| |particular| (|Union| (|Vector| *5) "failed")) (|:| |basis| (|List| (|Vector| *5)))))) (|isDomain| *1 (|LinearSystemMatrixPackage1| *5)) (|isDomain| *4 (|List| (|Vector| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|List| *5))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|Record| (|:| |particular| (|Union| (|Vector| *5) "failed")) (|:| |basis| (|List| (|Vector| *5)))))) (|isDomain| *1 (|LinearSystemMatrixPackage1| *5)) (|isDomain| *4 (|List| (|Vector| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *5)))))) (|isDomain| *1 (|NonLinearSolvePackage| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *4)))))) (|isDomain| *1 (|NonLinearSolvePackage| *4)))) ((*1 *2 *2 *2 *3 *4) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|NonLinearFirstOrderODESolver| *5 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedFunctionSpace| *5) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|Matrix| *7)) (|isDomain| *5 (|Symbol|)) (|ofCategory| *7 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |particular| (|Vector| *7)) (|:| |basis| (|List| (|Vector| *7))))) (|isDomain| *1 (|ElementaryFunctionODESolver| *6 *7)) (|isDomain| *4 (|Vector| *7)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Matrix| *6)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|Join| (|AlgebraicallyClosedFunctionSpace| *5) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Vector| *6))) (|isDomain| *1 (|ElementaryFunctionODESolver| *5 *6)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|List| (|Equation| *7))) (|isDomain| *4 (|List| (|BasicOperator|))) (|isDomain| *5 (|Symbol|)) (|ofCategory| *7 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |particular| (|Vector| *7)) (|:| |basis| (|List| (|Vector| *7))))) (|isDomain| *1 (|ElementaryFunctionODESolver| *6 *7)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|List| *7)) (|isDomain| *4 (|List| (|BasicOperator|))) (|isDomain| *5 (|Symbol|)) (|ofCategory| *7 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |particular| (|Vector| *7)) (|:| |basis| (|List| (|Vector| *7))))) (|isDomain| *1 (|ElementaryFunctionODESolver| *6 *7)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Equation| *7)) (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|Symbol|)) (|ofCategory| *7 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Union| (|Record| (|:| |particular| *7) (|:| |basis| (|List| *7))) *7 "failed")) (|isDomain| *1 (|ElementaryFunctionODESolver| *6 *7)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|Symbol|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Union| (|Record| (|:| |particular| *3) (|:| |basis| (|List| *3))) *3 "failed")) (|isDomain| *1 (|ElementaryFunctionODESolver| *6 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))))) ((*1 *2 *3 *4 *3 *5) (|partial| AND (|isDomain| *3 (|Equation| *2)) (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|List| *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|isDomain| *1 (|ElementaryFunctionODESolver| *6 *2)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))))) ((*1 *2 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|Equation| *2)) (|isDomain| *5 (|List| *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|ElementaryFunctionODESolver| *6 *2)))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalODEProblem|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalODEProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Vector| (|Expression| (|Float|)))) (|isDomain| *4 (|Float|)) (|isDomain| *5 (|List| *4)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4 *4 *5 *4) (AND (|isDomain| *3 (|Vector| (|Expression| (|Float|)))) (|isDomain| *4 (|Float|)) (|isDomain| *5 (|List| *4)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4 *4 *5 *6 *4) (AND (|isDomain| *3 (|Vector| (|Expression| *4))) (|isDomain| *5 (|List| (|Float|))) (|isDomain| *6 (|Expression| (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4 *4 *5 *5 *4) (AND (|isDomain| *3 (|Vector| (|Expression| (|Float|)))) (|isDomain| *4 (|Float|)) (|isDomain| *5 (|List| *4)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4 *4 *5 *6 *5 *4) (AND (|isDomain| *3 (|Vector| (|Expression| *4))) (|isDomain| *5 (|List| (|Float|))) (|isDomain| *6 (|Expression| (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4 *4 *5 *6 *5 *4 *4) (AND (|isDomain| *3 (|Vector| (|Expression| *4))) (|isDomain| *5 (|List| (|Float|))) (|isDomain| *6 (|Expression| (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *5 (|Mapping| (|Union| (|Record| (|:| |particular| *6) (|:| |basis| (|List| *6))) "failed") *7 *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| *6)) (|isDomain| *2 (|Record| (|:| |particular| (|Vector| *6)) (|:| |basis| (|Matrix| *6)))) (|isDomain| *1 (|SystemODESolver| *6 *7)) (|isDomain| *3 (|Matrix| *6)) (|isDomain| *4 (|Vector| *6)))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalPDEProblem|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaPartialDifferentialEquationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalPDEProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaPartialDifferentialEquationPackage|)))) ((*1 *2 *3 *3 *3 *3 *4 *4 *5 *6 *7 *8) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *6 (|List| (|List| (|Expression| *3)))) (|isDomain| *7 (|String|)) (|isDomain| *8 (|DoubleFloat|)) (|isDomain| *5 (|List| (|Expression| (|Float|)))) (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaPartialDifferentialEquationPackage|)))) ((*1 *2 *3 *3 *3 *3 *4 *4 *5 *6 *7) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *6 (|List| (|List| (|Expression| *3)))) (|isDomain| *7 (|String|)) (|isDomain| *5 (|List| (|Expression| (|Float|)))) (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaPartialDifferentialEquationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Polynomial| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Float|))) (|isDomain| *1 (|RealSolvePackage|)) (|isDomain| *4 (|Float|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Polynomial| (|Integer|))) (|isDomain| *2 (|List| (|Float|))) (|isDomain| *1 (|RealSolvePackage|)) (|isDomain| *4 (|Float|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *4)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *4)))) (|isDomain| *1 (|TransSolvePackage| *4)) (|isDomain| *3 (|Expression| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *4)))) (|isDomain| *1 (|TransSolvePackage| *4)) (|isDomain| *3 (|Equation| (|Expression| *4))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *5)))) (|isDomain| *1 (|TransSolvePackage| *5)) (|isDomain| *3 (|Equation| (|Expression| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *5)))) (|isDomain| *1 (|TransSolvePackage| *5)) (|isDomain| *3 (|Expression| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|List| (|Equation| (|Expression| *5))))) (|isDomain| *1 (|TransSolvePackage| *5)) (|isDomain| *3 (|List| (|Equation| (|Expression| *5)))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *5)))))) (|isDomain| *1 (|SystemSolvePackage| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *5)))))) (|isDomain| *1 (|SystemSolvePackage| *5)) (|isDomain| *3 (|List| (|Equation| (|Fraction| (|Polynomial| *5))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *4)))))) (|isDomain| *1 (|SystemSolvePackage| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *4)))))) (|isDomain| *1 (|SystemSolvePackage| *4)) (|isDomain| *3 (|List| (|Equation| (|Fraction| (|Polynomial| *4))))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Equation| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|SystemSolvePackage| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Equation| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|SystemSolvePackage| *5)) (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| *5)))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Equation| (|Fraction| (|Polynomial| *4))))) (|isDomain| *1 (|SystemSolvePackage| *4)) (|isDomain| *3 (|Fraction| (|Polynomial| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Equation| (|Fraction| (|Polynomial| *4))))) (|isDomain| *1 (|SystemSolvePackage| *4)) (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| *4))))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|e04AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *5))) (|isDomain| *3 (|SparseUnivariatePolynomial| *5)) (|ofCategory| *5 (|ComplexCategory| *4)) (|ofCategory| *4 (|IntegerNumberSystem|)) (|isDomain| *1 (|ComplexIntegerSolveLinearPolynomialEquation| *4 *5)))) ((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldSolveLinearPolynomialEquation| *4 *5 *3)))) ((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| (|Integer|)))) (|isDomain| *3 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|IntegerSolveLinearPolynomialEquation|)))) ((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *1))) (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PolynomialFactorizationExplicit|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Integer|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|PatternMatchResult| *4 *5)) (|isDomain| *3 (|PatternMatchResult| *4 *6)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|ListAggregate| *5)) (|isDomain| *1 (|PatternMatchListResult| *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| *6)) (|:| |exponent| (|Integer|))))) (|ofCategory| *6 (|EuclideanDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|ReductionOfOrder| *3 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |eq| *3) (|:| |op| (|List| *5)))) (|isDomain| *1 (|ReductionOfOrder| *5 *3)) (|isDomain| *4 (|List| *5)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Complex| *3)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *9 (|PlacesCategory| *4 *8)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *4 *5 *3 *6 *7 *8 *9 *2 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DivisorCategory| *9)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *3 *6 *7 *8 *9 *2 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3 *3 *4 *5) (AND (|isDomain| *4 (|List| *13)) (|isDomain| *5 (|List| *9)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *13 (|DesingTreeCategory| *12)) (|ofCategory| *6 (|Field|)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *6 *7 *3 *8 *9 *10 *11 *2 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *6)) (|ofCategory| *11 (|PlacesCategory| *6 *10)) (|ofCategory| *2 (|DivisorCategory| *11)) (|isDomain| *1 (|IntersectionDivisorPackage| *6 *7 *3 *8 *9 *10 *11 *2 *12 *13 *14)))) ((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *4)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Divisor| (|Places| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|HomogeneousDistributedMultivariatePolynomial| *4 *5))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|List| (|DistributedMultivariatePolynomial| *4 *5))) (|isDomain| *1 (|LinGroebnerPackage| *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DesingTree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|NumberTheoreticPolynomialFunctions| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| *5))) (|ofCategory| *5 (|FiniteAbelianMonoidRing| *4 *6)) (|ofCategory| *6 (|DirectProductCategory| *7 *2)) (|ofType| *7 *2) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|NewtonPolygon| *4 *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|DirectProductCategory| *7 *2)) (|ofType| *7 *2) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *5 *3 *6 *7 *4)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *5 *6)) (|ofCategory| *4 (|ProjectiveSpaceCategory| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|DirectProductCategory| *8 *2)) (|ofType| *8 *2) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *6 *3 *7 *8 *4)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *6 *7)) (|ofCategory| *4 (|ProjectiveSpaceCategory| *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OpenMathDevice|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PrimitiveRatRicDE| *4 *3 *2 *5)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *3)) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *3))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Fraction| *5)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PrimitiveRatRicDE| *4 *5 *2 *6)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *3))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Mapping| (|List| *4) *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|StreamTensor| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *2 *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpaceComponentProperty|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PolynomialInterpolationAlgorithms| *4 *2))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1) (|isDomain| *1 (|Character|)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (|ofCategory| *3 (|DesingTreeCategory| *12)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|ofCategory| *12 (|DivisorCategory| *11)) (|ofCategory| *13 (|InfinitlyClosePointCategory| *5 *6 *7 *8 *9 *10 *11 *12 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DesingTreePackage| *5 *6 *7 *8 *9 *10 *11 *12 *13 *3 *14)) (|ofCategory| *3 (|DesingTreeCategory| *13))))) 
(((*1 *1 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DecimalExpansion|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|EuclideanDomain|))) ((*1 *1 *1 *1) (|isDomain| *1 (|NonNegativeInteger|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *3) (|partial| AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (|partial| AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|isDomain| *1 (|PackageForPoly| *4 *3 *2 *5)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *2)) (|ofType| *5 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4 *4 *4 *4) (AND (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Record| (|:| |brans| (|List| (|List| (|Point| *4)))) (|:| |xValues| (|Segment| *4)) (|:| |yValues| (|Segment| *4)))) (|isDomain| *1 (|TwoDimensionalPlotClipping|)) (|isDomain| *3 (|List| (|List| (|Point| *4))))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)) (|isDomain| *1 (|BezoutMatrix| *4 *3 *2 *5 *6)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PointsOfFiniteOrderTools| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LinearSystemMatrixPackage| *5 *6 *4 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *5)) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LinearSystemMatrixPackage1| *5))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|None|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Vector| (|List| (|Integer|)))) (|isDomain| *1 (|HallBasis|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|InfiniteTuple| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3))))) 
(((*1 *2 *3 *3 *4 *5 *5) (AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Record| (|:| |val| (|List| *8)) (|:| |tower| *9)))) (|isDomain| *5 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *6 *7 *4)) (|ofCategory| *9 (|RegularTriangularSetCategory| *6 *7 *4 *8)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|Record| (|:| |val| *8) (|:| |tower| *9)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *6 *7 *4 *8 *9))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *2) (AND (|ofCategory| *1 (|NumericalIntegrationCategory|)) (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))))) ((*1 *2 *3 *2) (AND (|ofCategory| *1 (|NumericalIntegrationCategory|)) (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|NonCommutativeOperatorDivision| *2 *3)) (|ofCategory| *2 (|MonogenicLinearOperator| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *9)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *9)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3 *3)) (|ofCategory| *1 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *4 *5 *3)) (|isDomain| *2 (|Record| (|:| |under| *1) (|:| |floor| *1) (|:| |upper| *1))) (|ofCategory| *1 (|PolynomialSetCategory| *4 *5 *3 *6))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *5 *6) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined")) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *6 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|MeshCreationRoutinesForThreeDimensions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|DoubleFloat|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|MeshCreationRoutinesForThreeDimensions|)))) ((*1 *2 *2 *3 *4 *4 *5) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|DoubleFloat|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *1 (|MeshCreationRoutinesForThreeDimensions|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Factored| *5)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *5) (|:| |radicand| (|List| *5)))) (|isDomain| *1 (|FactoredFunctions| *5)) (|isDomain| *4 (|NonNegativeInteger|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RadicalCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|))))) 
(((*1 *2 *3 *3 *4) (|partial| AND (|isDomain| *4 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |a| *6) (|:| |b| (|Fraction| *6)) (|:| |c| (|Fraction| *6)) (|:| |t| *6))) (|isDomain| *1 (|TranscendentalRischDE| *5 *6)) (|isDomain| *3 (|Fraction| *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Partition|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|NumericRealEigenPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |resultant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathServerPackage|))))) 
(((*1 *2 *3 *4 *4 *3 *4 *5 *4 *4 *3 *3 *3 *3 *6 *3 *7) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *6 (|Matrix| (|DoubleFloat|))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp49| OBJFUN)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |eqzro| (|List| *8)) (|:| |neqzro| (|List| *8)) (|:| |wcond| (|List| (|Polynomial| *5))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *5)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *5)))))))))) (|isDomain| *4 (|String|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|GcdDomain|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|GcdDomain|))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|HeuGcd| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1 *1) (|isDomain| *1 (|NonNegativeInteger|))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|EuclideanDomain|)) (|isDomain| *1 (|PolynomialGcdPackage| *3 *4 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| *5 *3 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *1 (|PolynomialGcdPackage| *4 *5 *6 *2)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *6)) (|ofCategory| *6 (|PolynomialCategory| *5 *3 *4)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|EuclideanDomain|)) (|isDomain| *1 (|PolynomialGcdPackage| *3 *4 *5 *6)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| *7))) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *7)) (|isDomain| *1 (|PolynomialGcdPackage| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)))) ((*1 *1 *1 *1) (|isDomain| *1 (|PositiveInteger|))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|PrimitiveArray| (|U32Vector|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|U32Vector|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AntiSymm| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *2)) (|ofCategory| *2 (|Finite|)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *2 (|FunctionFieldCategory| *3 *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FreeNilpotentLie| *3 *4 *5)) (|ofType| *3 *2) (|ofType| *4 *2) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *1 (|MonogenicAlgebra| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *10 (|PlacesCategory| *5 *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *5 *6 *3 *7 *8 *9 *10 *2 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DivisorCategory| *10)) (|isDomain| *1 (|DesingTreePackage| *5 *6 *3 *7 *8 *9 *10 *2 *11 *4 *12)) (|ofCategory| *4 (|DesingTreeCategory| *11))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Vector| (|Matrix| *4))) (|isDomain| *1 (|AssociatedEquations| *4 *5)) (|isDomain| *3 (|Matrix| *4)) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|ExtAlgBasis|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OpenMathErrorKind|)) (|isDomain| *1 (|OpenMathError|))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *2 *2 *3 *4) (AND (|isDomain| *2 (|Matrix| *5)) (|isDomain| *3 (|Automorphism| *5)) (|isDomain| *4 (|Mapping| *5 *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *1 (|PseudoLinearNormalForm| *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|PositiveInteger|) (|Boolean|))) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|PositiveInteger|) (|Boolean|))) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *4 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *1 *1) (AND (|isDomain| *1 (|DeRhamComplex| *2 *3)) (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *1 *1) (AND (|isDomain| *1 (|Divisor| *2)) (|ofCategory| *2 (|SetCategoryWithDegree|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofType| *2 (|List| (|Symbol|))) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *5 (|DirectProductCategory| (|#| *2) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *4) (|:| |exponent| *5)) (|Record| (|:| |index| *4) (|:| |exponent| *5)))) (|isDomain| *1 (|GeneralModulePolynomial| *2 *3 *4 *5 *6 *7)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *3 *5 (|OrderedVariableList| *2))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|IndexedDirectProductCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *1) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|LaurentPolynomial| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MonogenicLinearOperator| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|MonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|Monoid|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|OutputForm|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|LinearlyExplicitRingOver| (|Integer|))) (|isDomain| *2 (|Vector| (|Fraction| (|Integer|)))) (|isDomain| *1 (|IntegerLinearDependence| *4))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|Record| (|:| |center| *5) (|:| |equation| *5)))) (|isDomain| *1 (|PrimitiveRatDE| *4 *5 *3 *6)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *5))))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |center| *4) (|:| |equation| *4)))) (|isDomain| *1 (|PrimitiveRatDE| *5 *4 *3 *6)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|Record| (|:| |center| *5) (|:| |equation| *5)))) (|isDomain| *1 (|PrimitiveRatDE| *4 *5 *6 *3)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *5))))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |center| *4) (|:| |equation| *4)))) (|isDomain| *1 (|PrimitiveRatDE| *5 *4 *6 *3)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *4)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *4)))))) 
(((*1 *2 *3 *3 *4 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *3 (|List| (|Palette|))) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|Record| (|:| |adjMat| *3) (|:| |detMat| *4))) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *2 *3)) (|ofCategory| *3 (|LeftModule| *2)))) ((*1 *1 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *2 *3)) (|ofCategory| *3 (|LeftModule| *2)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| *2))) (|isDomain| *2 (|Pattern| *3)) (|isDomain| *1 (|RewriteRule| *3 *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| *2)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|ParametricSpaceCurve| *6)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|ofCategory| *6 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctions| *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|ParametricSpaceCurve| *5)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|ofCategory| *5 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctions| *5)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctions| *3)) (|ofCategory| *3 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctions| *3)) (|ofCategory| *3 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|ParametricSurface| *6)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|ofCategory| *6 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctions| *6)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|ParametricSurface| *5)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|ofCategory| *5 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctions| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *4 *3 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *3)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|FiniteDivisor| *4 *5 *6 *7)) (|ofCategory| *4 (|Join| (|Finite|) (|Field|))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|ofCategory| *7 (|FunctionFieldCategory| *4 *5 *6)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FindOrderFinite| *4 *5 *6 *7)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|)) (|isDomain| *2 (|OnePointCompletion| (|PositiveInteger|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|LaurentPolynomial| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|FiniteDivisor| *5 *6 *7 *8)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|ofCategory| *8 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PointsOfFiniteOrder| *4 *5 *6 *7 *8)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|FiniteDivisor| (|Fraction| (|Integer|)) *4 *5 *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| (|Fraction| (|Integer|)) *4 *5)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PointsOfFiniteOrderRational| *4 *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|FiniteDivisor| *6 *7 *4 *8)) (|isDomain| *5 (|Mapping| *9 *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *7))) (|ofCategory| *8 (|FunctionFieldCategory| *6 *7 *4)) (|ofCategory| *9 (|Join| (|Finite|) (|Field|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ReducedDivisor| *6 *7 *4 *8 *9)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| *7) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| *7))))) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *5 (|UniqueFactorizationDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|isDomain| *2 (|List| (|Polynomial| *5))) (|isDomain| *1 (|FunctionFieldCategory&| *4 *5 *6 *7)) (|ofCategory| *4 (|FunctionFieldCategory| *5 *6 *7)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *1 (|FunctionFieldCategory| *4 *5 *6)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| (|Polynomial| *4)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SubSpaceComponentProperty|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3 *3 *3 *3 *3 *3 *5 *5 *4 *3 *6 *7) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp41| FCN JACOBF JACEPS)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp42| G JACOBG JACGEP)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|AbelianSemiGroup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| *1)))) (|ofCategory| *1 (|FunctionSpace| *3))))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *2 *2 *2 *3) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stream| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *5 *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Mapping| *5)) (|isDomain| *1 (|MappingPackage2| *4 *5))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |gcd| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *2 *2 *2 *2 *2 *2 *2 *2) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Quaternion| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *1 (|Octonion| *3))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|ConvertibleTo| (|Pattern| (|Integer|)))) (|ofCategory| *5 (|PatternMatchable| (|Integer|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|GcdDomain|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |special| *3) (|:| |integrand| *3))) (|isDomain| *1 (|PatternMatchIntegration| *5 *3)) (|ofCategory| *3 (|LiouvillianFunctionCategory|)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))))) ((*1 *2 *2 *3 *4 *4) (|partial| AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|OrderedCompletion| *2)) (|ofCategory| *2 (|SpecialFunctionCategory|)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|ConvertibleTo| (|Pattern| (|Integer|)))) (|ofCategory| *5 (|PatternMatchable| (|Integer|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|GcdDomain|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|PatternMatchIntegration| *5 *2))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *2 *3 *4 *5 *6 *7 *8 *9 *10)) (|ofCategory| *4 (|PolynomialCategory| *2 *5 (|OrderedVariableList| *3))) (|ofCategory| *5 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|ofCategory| *6 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *7 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *8 (|PlacesCategory| *2 *7)) (|ofCategory| *9 (|DivisorCategory| *8)) (|ofCategory| *10 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Record| (|:| |num| (|Vector| *4)) (|:| |den| *4)))))) 
(((*1 *1 *2 *2 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|))))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *5 *2 *6 *7)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5)))) ((*1 *2 *1 *3 *4 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DisplayPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|d03AgentsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Kernel| *4)) (|isDomain| *1 (|KernelFunctions2| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|SegmentBinding| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|SegmentBinding| *1)) (|ofCategory| *1 (|CombinatorialOpsCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|CombinatorialOpsCategory|)) (|isDomain| *2 (|Symbol|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Finite|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AlgFactor| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|AlgebraicNumber|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 |RationalNumber|) (|isDomain| *2 (|Mapping| (|Integer|))) (|isDomain| *1 (|RandomIntegerDistributions|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|CRApackage| *2)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|List| (|List| *4))) (|isDomain| *2 (|List| *4)) (|ofCategory| *4 (|EuclideanDomain|)) (|isDomain| *1 (|CRApackage| *4)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| (|Record| (|:| |basis| (|Matrix| *7)) (|:| |basisDen| *7) (|:| |basisInv| (|Matrix| *7))))) (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *8 (|UnivariatePolynomialCategory| *7)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *6 (|FiniteFieldCategory|)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *7)) (|:| |basisDen| *7) (|:| |basisInv| (|Matrix| *7)))) (|isDomain| *1 (|ChineseRemainderToolsForIntegralBases| *6 *7 *8)))) ((*1 *2 *2 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|NPCoef| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *1 (|ComplexTrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *3)))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *4)))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|TrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|TrigonometricManipulations| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|DifferentialExtension| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|DifferentialExtension| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|DifferentialRing|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1) (|ofCategory| *1 (|DifferentialRing|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1) (AND (|ofCategory| *2 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *4)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|ofCategory| *1 (|PartialDifferentialRing| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|PartialDifferentialRing| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *1 (|PartialDifferentialRing| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PartialDifferentialRing| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Float|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|FileName|)) (|isDomain| *1 (|FortranTemplate|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|FileName|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2 *3 *4 *3 *4 *4 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerBits|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|CharacteristicZero|)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|XPolynomialsCat| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|has| $ (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ArrayStack| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|has| $ (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Dequeue| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|has| $ (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|Heap| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|has| $ (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Queue| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|has| $ (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Stack| *3))))) 
(((*1 *2 *3 *4 *4 *5) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|List| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|PureAlgebraicIntegration| *6 *3 *7)) (|ofCategory| *7 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|MergeThing| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *2 *3 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *1 *3 *3 *4) (AND (|isDomain| *3 (|Mapping| (|OutputForm|) (|OutputForm|) (|OutputForm|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|ListMonoidOps| *5 *6 *7)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|AbelianMonoid|)) (|ofType| *7 *6))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|SparseUnivariateSkewPolynomial| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Automorphism| *3)) (|ofType| *5 (|Mapping| *3 *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|OutputForm|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *2)) (|ofCategory| *2 (|Finite|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|BinaryFile|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $))))) (|ofCategory| *6 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |sup| (|Polynomial| *6)) (|:| |inf| (|Polynomial| *6)))) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| (|Fraction| (|Polynomial| *6)) *4 *5))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Polynomial| (|Fraction| (|Integer|)))) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *2 *3 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Mapping| (|List| *4) *4)) (|isDomain| *1 (|Bezier| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *3 (|IntegralDomain|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|RepeatedDoubling| *2)) (|ofCategory| *2 (|Join| (|SetCategory|) (CATEGORY |domain| (SIGNATURE + ($ $ $)))))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *4 (|List| *10)) (|isDomain| *5 (|Boolean|)) (|ofCategory| *10 (|RegularTriangularSetCategory| *6 *7 *8 *9)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|List| (|Record| (|:| |eq| (|List| *9)) (|:| |tower| *10) (|:| |ineq| (|List| *9))))) (|isDomain| *1 (|QuasiComponentPackage| *6 *7 *8 *9 *10)) (|isDomain| *3 (|List| *9)))) ((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *4 (|List| *10)) (|isDomain| *5 (|Boolean|)) (|ofCategory| *10 (|RegularTriangularSetCategory| *6 *7 *8 *9)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|List| (|Record| (|:| |eq| (|List| *9)) (|:| |tower| *10) (|:| |ineq| (|List| *9))))) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *6 *7 *8 *9 *10)) (|isDomain| *3 (|List| *9))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|AbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|AntiSymm| *3 *4)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *1 *2 *1 *1 *3) (AND (|isDomain| *2 (|Mapping| *3 *3 *3)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Mapping| *3 *3 *3)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|OneDimensionalArray| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|OneDimensionalArray| *6)) (|isDomain| *1 (|OneDimensionalArrayFunctions2| *5 *6)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ArrayStack| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *8 *7)) (|isDomain| *4 (|CartesianTensor| *5 *6 *7)) (|ofType| *5 (|Integer|)) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *7 (|CommutativeRing|)) (|ofCategory| *8 (|CommutativeRing|)) (|isDomain| *2 (|CartesianTensor| *5 *6 *8)) (|isDomain| *1 (|CartesianTensorFunctions2| *5 *6 *7 *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Complex| *5)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *6 (|CommutativeRing|)) (|isDomain| *2 (|Complex| *6)) (|isDomain| *1 (|ComplexFunctions2| *5 *6)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Dequeue| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Expression| *3) (|Expression| *3))) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *7 *6)) (|isDomain| *4 (|DirectProduct| *5 *6)) (|ofType| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)) (|isDomain| *2 (|DirectProduct| *5 *7)) (|isDomain| *1 (|DirectProductFunctions2| *5 *6 *7)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Equation| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Equation| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Equation| *6)) (|isDomain| *1 (|EquationFunctions2| *5 *6)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| *1 *1)) (|isDomain| *3 (|Kernel| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *2 *6)) (|isDomain| *4 (|String|)) (|isDomain| *5 (|Kernel| *6)) (|ofCategory| *6 (|ExpressionSpace|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|ExpressionSpaceFunctions1| *6 *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 *5)) (|isDomain| *4 (|Kernel| *5)) (|ofCategory| *5 (|ExpressionSpace|)) (|ofCategory| *2 (|ExpressionSpace|)) (|isDomain| *1 (|ExpressionSpaceFunctions2| *5 *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Matrix| *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|Matrix| *6)) (|isDomain| *1 (|ExpertSystemToolsPackage2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Expression| *5)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Expression| *6)) (|isDomain| *1 (|ExpressionFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *7 *6)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *7 *5)) (|isDomain| *1 (|FiniteAbelianMonoidRingFunctions2| *5 *6 *4 *7 *2)) (|ofCategory| *4 (|FiniteAbelianMonoidRing| *6 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *9 *5)) (|isDomain| *4 (|FiniteDivisor| *5 *6 *7 *8)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|ofCategory| *8 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *9 (|Field|)) (|ofCategory| *10 (|UnivariatePolynomialCategory| *9)) (|ofCategory| *11 (|UnivariatePolynomialCategory| (|Fraction| *10))) (|isDomain| *2 (|FiniteDivisor| *9 *10 *11 *12)) (|isDomain| *1 (|FiniteDivisorFunctions2| *5 *6 *7 *8 *9 *10 *11 *12)) (|ofCategory| *12 (|FunctionFieldCategory| *9 *10 *11)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|FullyEvalableOver| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *8 *5)) (|ofCategory| *5 (|UniqueFactorizationDomain|)) (|ofCategory| *8 (|UniqueFactorizationDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|ofCategory| *9 (|UnivariatePolynomialCategory| *8)) (|ofCategory| *2 (|FunctionFieldCategory| *8 *9 *10)) (|isDomain| *1 (|FunctionFieldCategoryFunctions2| *5 *6 *7 *4 *8 *9 *10 *2)) (|ofCategory| *4 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *10 (|UnivariatePolynomialCategory| (|Fraction| *9))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|ofCategory| *2 (|FiniteLinearAggregate| *6)) (|isDomain| *1 (|FiniteLinearAggregateFunctions2| *5 *4 *6 *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *5)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|Factored| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Factored| *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|IntegralDomain|)) (|isDomain| *2 (|Factored| *6)) (|isDomain| *1 (|FactoredFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Fraction| *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|IntegralDomain|)) (|isDomain| *2 (|Fraction| *6)) (|isDomain| *1 (|FractionFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *9 *5)) (|isDomain| *4 (|FractionalIdeal| *5 *6 *7 *8)) (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *6 (|QuotientFieldCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *8 (|Join| (|FramedAlgebra| *6 *7) (|RetractableTo| *6))) (|ofCategory| *9 (|EuclideanDomain|)) (|ofCategory| *10 (|QuotientFieldCategory| *9)) (|ofCategory| *11 (|UnivariatePolynomialCategory| *10)) (|isDomain| *2 (|FractionalIdeal| *9 *10 *11 *12)) (|isDomain| *1 (|FractionalIdealFunctions2| *5 *6 *7 *8 *9 *10 *11 *12)) (|ofCategory| *12 (|Join| (|FramedAlgebra| *10 *11) (|RetractableTo| *10))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *6 (|CommutativeRing|)) (|ofCategory| *2 (|FramedNonAssociativeAlgebra| *6)) (|isDomain| *1 (|FramedNonAssociativeAlgebraFunctions2| *4 *5 *2 *6)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|Join| (|Ring|) (|OrderedSet|))) (|ofCategory| *6 (|Join| (|Ring|) (|OrderedSet|))) (|ofCategory| *2 (|FunctionSpace| *6)) (|isDomain| *1 (|FunctionSpaceFunctions2| *5 *4 *6 *2)) (|ofCategory| *4 (|FunctionSpace| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|FiniteSetAggregate| *6)) (|isDomain| *1 (|FiniteSetAggregateFunctions2| *5 *4 *6 *2)) (|ofCategory| *4 (|FiniteSetAggregate| *5)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|Heap| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|IndexedDirectProductCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|IntegrationResult| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|IntegrationResult| *6)) (|isDomain| *1 (|IntegrationResultFunctions2| *5 *6)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Union| (|Record| (|:| |ratpart| *5) (|:| |coeff| *5)) "failed")) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|Record| (|:| |ratpart| *6) (|:| |coeff| *6))) (|isDomain| *1 (|IntegrationResultFunctions2| *5 *6)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| *2 *5)) (|isDomain| *4 (|Union| *5 "failed")) (|ofCategory| *5 (|Field|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|IntegrationResultFunctions2| *5 *2)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Union| (|Record| (|:| |mainpart| *5) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *5) (|:| |logand| *5))))) "failed")) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|Record| (|:| |mainpart| *6) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *6) (|:| |logand| *6)))))) (|isDomain| *1 (|IntegrationResultFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|InfiniteTuple| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|InfiniteTuple| *6)) (|isDomain| *1 (|InfiniteTupleFunctions2| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *8 *6 *7)) (|isDomain| *4 (|InfiniteTuple| *6)) (|isDomain| *5 (|InfiniteTuple| *7)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)) (|ofCategory| *8 (|Type|)) (|isDomain| *2 (|InfiniteTuple| *8)) (|isDomain| *1 (|InfiniteTupleFunctions3| *6 *7 *8)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *8 *6 *7)) (|isDomain| *4 (|Stream| *6)) (|isDomain| *5 (|InfiniteTuple| *7)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)) (|ofCategory| *8 (|Type|)) (|isDomain| *2 (|Stream| *8)) (|isDomain| *1 (|InfiniteTupleFunctions3| *6 *7 *8)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *8 *6 *7)) (|isDomain| *4 (|InfiniteTuple| *6)) (|isDomain| *5 (|Stream| *7)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)) (|ofCategory| *8 (|Type|)) (|isDomain| *2 (|Stream| *8)) (|isDomain| *1 (|InfiniteTupleFunctions3| *6 *7 *8)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|InfiniteTuple| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|ListFunctions2| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *8 *6 *7)) (|isDomain| *4 (|List| *6)) (|isDomain| *5 (|List| *7)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)) (|ofCategory| *8 (|Type|)) (|isDomain| *2 (|List| *8)) (|isDomain| *1 (|ListFunctions3| *6 *7 *8)))) ((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Mapping| *3 *3 *3)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *8 *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *8 (|Ring|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|ofCategory| *2 (|MatrixCategory| *8 *9 *10)) (|isDomain| *1 (|MatrixCategoryFunctions2| *5 *6 *7 *4 *8 *9 *10 *2)) (|ofCategory| *4 (|MatrixCategory| *5 *6 *7)) (|ofCategory| *9 (|FiniteLinearAggregate| *8)) (|ofCategory| *10 (|FiniteLinearAggregate| *8)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| (|Union| *8 "failed") *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *8 (|Ring|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|ofCategory| *2 (|MatrixCategory| *8 *9 *10)) (|isDomain| *1 (|MatrixCategoryFunctions2| *5 *6 *7 *4 *8 *9 *10 *2)) (|ofCategory| *4 (|MatrixCategory| *5 *6 *7)) (|ofCategory| *9 (|FiniteLinearAggregate| *8)) (|ofCategory| *10 (|FiniteLinearAggregate| *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *7 *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *7 (|IntegralDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Fraction| *8))) (|isDomain| *1 (|MultipleMap| *5 *6 *4 *7 *8 *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|ofCategory| *8 (|UnivariatePolynomialCategory| *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *9 *8)) (|ofCategory| *8 (|Ring|)) (|ofCategory| *9 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|PolynomialCategory| *9 *7 *5)) (|isDomain| *1 (|MPolyCatFunctions2| *5 *6 *7 *8 *9 *4 *2)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|PolynomialCategory| *8 *6 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|Ring|)) (|ofCategory| *2 (|PolynomialCategory| *9 *8 *6)) (|isDomain| *1 (|MPolyCatFunctions3| *5 *6 *7 *8 *9 *4 *2)) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|PolynomialCategory| *9 *7 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|MonoidRing| *5 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|Monoid|)) (|isDomain| *2 (|MonoidRing| *6 *7)) (|isDomain| *1 (|MonoidRingFunctions2| *5 *6 *7)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *4 (|Monoid|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|NewSparseUnivariatePolynomial| *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|NewSparseUnivariatePolynomial| *6)) (|isDomain| *1 (|NewSparseUnivariatePolynomialFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *6 (|CommutativeRing|)) (|ofCategory| *2 (|OctonionCategory| *6)) (|isDomain| *1 (|OctonionCategoryFunctions2| *4 *5 *2 *6)) (|ofCategory| *4 (|OctonionCategory| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|OnePointCompletion| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|OnePointCompletion| *6)) (|isDomain| *1 (|OnePointCompletionFunctions2| *5 *6)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|OnePointCompletion| *6)) (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|OnePointCompletion| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *1 (|OnePointCompletionFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|OrderedCompletion| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|OrderedCompletion| *6)) (|isDomain| *1 (|OrderedCompletionFunctions2| *5 *6)))) ((*1 *2 *3 *4 *2 *2) (AND (|isDomain| *2 (|OrderedCompletion| *6)) (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|OrderedCompletion| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *1 (|OrderedCompletionFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|ParametricPlaneCurve| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|ParametricPlaneCurve| *6)) (|isDomain| *1 (|ParametricPlaneCurveFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|ParametricSpaceCurve| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|ParametricSpaceCurve| *6)) (|isDomain| *1 (|ParametricSpaceCurveFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|ParametricSurface| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|ParametricSurface| *6)) (|isDomain| *1 (|ParametricSurfaceFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *7 *6)) (|isDomain| *4 (|PatternMatchResult| *5 *6)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|PatternMatchResult| *5 *7)) (|isDomain| *1 (|PatternMatchResultFunctions2| *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Pattern| *6)) (|isDomain| *1 (|PatternFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Polynomial| *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|Polynomial| *6)) (|isDomain| *1 (|PolynomialFunctions2| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *2 *7)) (|isDomain| *4 (|Mapping| *2 *8)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|Ring|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|Join| (|SetCategory|) (CATEGORY |domain| (SIGNATURE + ($ $ $)) (SIGNATURE * ($ $ $)) (SIGNATURE ** ($ $ (|NonNegativeInteger|)))))) (|isDomain| *1 (|PolynomialCategoryLifting| *6 *7 *8 *5 *2)) (|ofCategory| *5 (|PolynomialCategory| *8 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|PrimitiveArray| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|PrimitiveArray| *6)) (|isDomain| *1 (|PrimitiveArrayFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Point| *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|Point| *6)) (|isDomain| *1 (|PointFunctions2| *5 *6)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| *2 (|Polynomial| *4))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *6)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|isDomain| *1 (|PushVariables| *4 *5 *6 *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *2 (|QuotientFieldCategory| *6)) (|isDomain| *1 (|QuotientFieldCategoryFunctions2| *5 *6 *4 *2)) (|ofCategory| *4 (|QuotientFieldCategory| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *6 (|CommutativeRing|)) (|ofCategory| *2 (|QuaternionCategory| *6)) (|isDomain| *1 (|QuaternionCategoryFunctions2| *4 *5 *2 *6)) (|ofCategory| *4 (|QuaternionCategory| *5)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Queue| *3)))) ((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Mapping| *5 *5 *5)) (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *5 *5)) (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *10 *7)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *10 (|Ring|)) (|ofType| *5 (|NonNegativeInteger|)) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *8 (|DirectProductCategory| *6 *7)) (|ofCategory| *9 (|DirectProductCategory| *5 *7)) (|ofCategory| *2 (|RectangularMatrixCategory| *5 *6 *10 *11 *12)) (|isDomain| *1 (|RectangularMatrixCategoryFunctions2| *5 *6 *7 *8 *9 *4 *10 *11 *12 *2)) (|ofCategory| *4 (|RectangularMatrixCategory| *5 *6 *7 *8 *9)) (|ofCategory| *11 (|DirectProductCategory| *6 *10)) (|ofCategory| *12 (|DirectProductCategory| *5 *10)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Segment| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Segment| *6)) (|isDomain| *1 (|SegmentFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Segment| *5)) (|ofCategory| *5 (|OrderedRing|)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|SegmentFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|SegmentBinding| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|SegmentBinding| *6)) (|isDomain| *1 (|SegmentBindingFunctions2| *5 *6)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *1 (|SegmentExpansionCategory| *4 *2)) (|ofCategory| *4 (|OrderedRing|)) (|ofCategory| *2 (|StreamAggregate| *4)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Stack| *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Stream| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Stream| *6)) (|isDomain| *1 (|StreamFunctions2| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *8 *6 *7)) (|isDomain| *4 (|Stream| *6)) (|isDomain| *5 (|Stream| *7)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)) (|ofCategory| *8 (|Type|)) (|isDomain| *2 (|Stream| *8)) (|isDomain| *1 (|StreamFunctions3| *6 *7 *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|SparseUnivariatePolynomial| *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *6)) (|isDomain| *1 (|SparseUnivariatePolynomialFunctions2| *5 *6)))) ((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Mapping| *4 *4 *4)) (|ofCategory| *1 (|TableAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|UnivariateLaurentSeries| *5 *7 *9)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|ofType| *7 (|Symbol|)) (|ofType| *9 *5) (|ofType| *10 *6) (|isDomain| *2 (|UnivariateLaurentSeries| *6 *8 *10)) (|isDomain| *1 (|UnivariateLaurentSeriesFunctions2| *5 *6 *7 *8 *9 *10)) (|ofType| *8 (|Symbol|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|UniversalSegment| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|UniversalSegment| *6)) (|isDomain| *1 (|UniversalSegmentFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|UniversalSegment| *5)) (|ofCategory| *5 (|OrderedRing|)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Stream| *6)) (|isDomain| *1 (|UniversalSegmentFunctions2| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *8 *6)) (|isDomain| *4 (|UnivariatePolynomial| *5 *6)) (|ofType| *5 (|Symbol|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *8 (|Ring|)) (|isDomain| *2 (|UnivariatePolynomial| *7 *8)) (|isDomain| *1 (|UnivariatePolynomialFunctions2| *5 *6 *7 *8)) (|ofType| *7 (|Symbol|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *6)) (|isDomain| *1 (|UnivariatePolynomialCategoryFunctions2| *5 *4 *6 *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|UnivariatePuiseuxSeries| *5 *7 *9)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|ofType| *7 (|Symbol|)) (|ofType| *9 *5) (|ofType| *10 *6) (|isDomain| *2 (|UnivariatePuiseuxSeries| *6 *8 *10)) (|isDomain| *1 (|UnivariatePuiseuxSeriesFunctions2| *5 *6 *7 *8 *9 *10)) (|ofType| *8 (|Symbol|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *6)) (|isDomain| *1 (|UnivariateTaylorSeriesFunctions2| *5 *6 *4 *2)) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|VectorFunctions2| *5 *6)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| (|Union| *6 "failed") *5)) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|VectorFunctions2| *5 *6)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|XPolynomialRing| *3 *4)) (|ofCategory| *4 (|OrderedMonoid|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|DictionaryOperations| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|DictionaryOperations| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *3 *1) (|partial| AND (|ofCategory| *1 (|KeyedDictionary| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|Multiset| *4)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Multiset| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *3 *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *5) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *5 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|StreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|InputForm|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|UniversalSegment| (|Integer|))) (|ofCategory| *1 (|ExtensibleLinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1) (|ofCategory| *1 (|ExpressionSpace|))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|DistributedMultivariatePolynomial| *4 *5))) (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *1 (|LinGroebnerPackage| *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| *7) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| *7))))) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *2 *3 *4 *5)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|DifferentialVariableCategory| *3)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *4 *5 *5 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Complex| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|RationalLODE| *4 *2)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *2 (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|RationalLODE| *4 *2)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|)))))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)) (|isDomain| *4 (|DoubleFloat|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|isDomain| *3 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *2)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *2 (|FunctionSpace| *5)) (|isDomain| *1 (|AlgebraicFunction| *5 *2)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *2 *3) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *1 *2 *3 *4) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|OutputForm|)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *1 *2 *3) (|partial| AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|IntegerPrimesPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|NonCommutativeOperatorDivision| *2 *3)) (|ofCategory| *2 (|MonogenicLinearOperator| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *2 *2 *2 *2 *2 *3 *4) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|Boolean|)) (|isDomain| *4 (|Union| "left" "center" "right" "vertical" "horizontal")) (|ofCategory| *1 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4 *5 *3 *6 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Complex| (|DoubleFloat|))) (|isDomain| *6 (|String|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *1))) (|isDomain| *1 (|Expression| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|PolynomialFactorizationExplicit|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *1))) (|isDomain| *3 (|SparseUnivariatePolynomial| *1))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1) (|isDomain| *1 (|IntegrationFunctionsTable|)))) 
(((*1 *2 *3 *3 *3 *4) (|partial| AND (|isDomain| *4 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |a| *6) (|:| |b| (|Fraction| *6)) (|:| |h| *6) (|:| |c1| (|Fraction| *6)) (|:| |c2| (|Fraction| *6)) (|:| |t| *6))) (|isDomain| *1 (|TranscendentalRischDESystem| *5 *6)) (|isDomain| *3 (|Fraction| *6))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |resultant| *3) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)) (|:| |coef2| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FlexibleArray| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|IndexedFlexibleArray| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofType| *4 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AbelianMonoid|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *6 *5)) (|isDomain| *4 (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *5)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|DistributedMultivariatePolynomial| *6 (|PseudoAlgebraicClosureOfFiniteField| *5))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *5 *2 *6 *7 *3)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *5 *6)) (|ofCategory| *3 (|ProjectiveSpaceCategory| *5)))) ((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *4 *2 *5 *6 *3)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5)) (|ofCategory| *3 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *3 (|None|)) (|isDomain| *1 (|Any|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Expression| *4)) (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *4)))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|TrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Vector| (|Union| (|GraphImage|) "undefined"))) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *1) (|isDomain| *1 (|Character|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|PolynomialIdeals| *3 *4 *5 *6))) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| *7)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *4)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|List| (|List| (|NonNegativeInteger|)))) (|isDomain| *1 (|BlowUpPackage| *4 *5 *6 *7 *8)) (|ofCategory| *6 (|FiniteAbelianMonoidRing| *4 *7)) (|ofCategory| *8 (|BlowUpMethodCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *4 (|Palette|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|PointCategory| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Point| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *3 *3 *3 *3) (AND (|isDomain| *2 (|Point| (|DoubleFloat|))) (|isDomain| *1 (|TubePlotTools|)) (|isDomain| *3 (|DoubleFloat|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Color|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *2 *2 *3) (AND (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *2 *3)) (|ofCategory| *2 (|Type|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|List| (|List| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *6 *7 *8)) (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *5 *4 *3 *6 *3 *4 *7 *8 *9 *10) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|String|)) (|isDomain| *6 (|Matrix| (|DoubleFloat|))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp9| G)))) (|isDomain| *8 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN)))) (|isDomain| *9 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp31| PEDERV)))) (|isDomain| *10 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp8| OUTPUT)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|HomogeneousDistributedMultivariatePolynomial| *4 *5))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|Record| (|:| |gblist| (|List| (|DistributedMultivariatePolynomial| *4 *5))) (|:| |gvlist| (|List| (|Integer|))))) (|isDomain| *1 (|LinGroebnerPackage| *4 *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |constant| *5) (|:| |eq| *3)))) (|isDomain| *1 (|PrimitiveRatRicDE| *5 *6 *3 *7)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *6)) (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *6)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *6 *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6 *4 *5)) (|isDomain| *1 (|MappingPackage3| *4 *5 *6)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranType|))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *3 (|Matrix| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Kernel| *5))) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Kernel| *5)) (|isDomain| *1 (|IntegrationTools| *4 *5)) (|ofCategory| *5 (|FunctionSpace| *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *12)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|DesingTree| (|InfClsPt| *3 *4 *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|DesingTree| (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| *3 *4 *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *4)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|Stream| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1) (|ofCategory| *1 (|ExpressionSpace|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Integer|)) (|ofCategory| *6 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|LinearSystemFromPowerSeriesPackage| *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *5)))) (|isDomain| *1 (|RadicalSolvePackage| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *4)))) (|isDomain| *1 (|RadicalSolvePackage| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *5)))) (|isDomain| *1 (|RadicalSolvePackage| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Equation| (|Expression| *4)))) (|isDomain| *1 (|RadicalSolvePackage| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|List| (|Equation| (|Expression| *5))))) (|isDomain| *1 (|RadicalSolvePackage| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|List| (|Equation| (|Expression| *4))))) (|isDomain| *1 (|RadicalSolvePackage| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Equation| (|Fraction| (|Polynomial| *5))))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|List| (|Equation| (|Expression| *5))))) (|isDomain| *1 (|RadicalSolvePackage| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Equation| (|Fraction| (|Polynomial| *4))))) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|List| (|Equation| (|Expression| *4))))) (|isDomain| *1 (|RadicalSolvePackage| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Fraction| (|Polynomial| *4)))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Kernel| *1)) (|ofCategory| *1 (|FunctionSpace| *4)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| *1))))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *4 (|Kernel| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|GenusZeroIntegration| *6 *3 *7)) (|isDomain| *5 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|PackageForPoly| *4 *3 *5 *6)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Variable| *5)) (|ofType| *5 (|Symbol|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|UnivariatePolynomial| *5 (|Polynomial| *6))) (|isDomain| *1 (|PolynomialToUnivariatePolynomial| *5 *6)) (|isDomain| *3 (|Polynomial| *6)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3)))) ((*1 *2 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|PolynomialCategory| *6 *5 *4)) (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| *3))) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *5 *4 *6 *7 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $))))))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $))))) (|ofCategory| *7 (|PolynomialCategory| *6 *5 *4)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *5 *4 *6 *7 *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|RationalFunction| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PatternMatchAssertions|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAssertions| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Matrix| (|DoubleFloat|))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef| *4) (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |coef| *3) (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|IrrRepSymNatPackage|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|isDomain| *2 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *5)) (|isDomain| *1 (|BlowUpPackage| *5 *6 *3 *7 *4)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *5 *7)) (|ofCategory| *4 (|BlowUpMethodCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Kernel| *6))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Kernel| *6)) (|ofCategory| *6 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|IntegrationTools| *5 *6))))) 
(((*1 *1 *2 *3 *3 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |polnum| (|NewSparseUnivariatePolynomial| *3)) (|:| |polden| *3) (|:| |power| (|NonNegativeInteger|)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |polnum| *1) (|:| |polden| *1) (|:| |power| (|NonNegativeInteger|)))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|EllipticFunctionsUnivariateTaylorSeries| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| *4))))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| *4))) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| *3))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Vector| (|Matrix| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|StructuralConstantsPackage| *5)) (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| *5)))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Vector| (|Matrix| (|Polynomial| *5)))) (|isDomain| *1 (|StructuralConstantsPackage| *5)) (|isDomain| *4 (|Matrix| (|Polynomial| *5))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Vector| (|Matrix| *4))) (|isDomain| *1 (|StructuralConstantsPackage| *4))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|RepeatedSquaring| *2)) (|ofCategory| *2 (|Join| (|SetCategory|) (CATEGORY |domain| (SIGNATURE * ($ $ $)))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| *3 *4 *5)) (|isDomain| *2 (|FractionalIdeal| *4 (|Fraction| *4) *5 *6)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *6)) (|ofCategory| *6 (|Join| (|FramedAlgebra| *4 *5) (|RetractableTo| *4))) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|FractionalIdeal| *3 *4 *5 *6)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6))))) 
(((*1 *2 *3 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Union| *3 (|List| *1))) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
(((*1 *2 *3 *4 *4 *5 *6 *7) (AND (|isDomain| *5 (|Symbol|)) (|isDomain| *6 (|Mapping| (|Union| (|Record| (|:| |mainpart| *4) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *4) (|:| |logand| *4))))) "failed") *4 (|List| *4))) (|isDomain| *7 (|Mapping| (|Union| (|Record| (|:| |ratpart| *4) (|:| |coeff| *4)) "failed") *4 *4)) (|ofCategory| *4 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedField|) (|FunctionSpace| *8))) (|ofCategory| *8 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| *3) (|LinearlyExplicitRingOver| *3))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Record| (|:| |ans| *4) (|:| |right| *4) (|:| |sol?| (|Boolean|)))) (|isDomain| *1 (|ElementaryRischDE| *8 *4))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *1 (|FortranType|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *6)) (|isDomain| *1 (|FactoringUtilities| *4 *5 *6 *7))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraPackage| *3 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)))) ((*1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FramedAlgebra| *3 *4)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|FractionalIdeal| *3 *4 *5 *6)) (|ofCategory| *6 (|Join| (|FramedAlgebra| *4 *5) (|RetractableTo| *4))))) ((*1 *2 *1) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|FramedModule| *3 *4 *5 *6 *7)) (|ofCategory| *6 (|FramedAlgebra| *4 *5)) (|ofType| *7 *2))) ((*1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Vector| (|Vector| *4))) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|isDomain| *3 (|Symbol|)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|isDomain| *3 (|Symbol|)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *1 *2 *2 *3 *1 *4) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|PseudoAlgebraicClosureOfRationalNumber|))) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Symbol|)) (|isDomain| *1 (|PseudoAlgebraicClosureOfRationalNumber|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|XPolynomialRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedMonoid|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *2 (|XRecursivePolynomial| *3 *4)) (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (|partial| AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *4 *2)) (|ofCategory| *2 (|LeftModule| *4)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorizationWithSizeParseBySideEffect| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|PendantTree| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|PendantTree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|Matrix| (|Expression| (|Integer|)))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|MeshCreationRoutinesForThreeDimensions|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|FortranScalarType|)) (|isDomain| *2 (|List| (|Union| (|:| |name| (|Symbol|)) (|:| |bounds| (|List| (|Union| (|:| S (|Symbol|)) (|:| P (|Polynomial| (|Integer|))))))))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *5 *6 *6 *7 *7 *3) (AND (|isDomain| *4 (|List| (|Boolean|))) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Matrix| (|Integer|))) (|isDomain| *7 (|DoubleFloat|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *4 (|LeftModule| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *3 *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|Operator| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *7 *5)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|IntegralBasisPolynomialTools| *5 *6 *4 *7)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *6))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RomanNumeral|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RomanNumeral|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |ir| (|IntegrationResult| (|Fraction| *6))) (|:| |specpart| (|Fraction| *6)) (|:| |polypart| *6))) (|isDomain| *1 (|TranscendentalIntegration| *5 *6)) (|isDomain| *3 (|Fraction| *6))))) 
(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Kernel| *2))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *2 (|Join| (|FunctionSpace| (|Complex| *5)) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *1 (|InnerTrigonometricManipulations| *5 *6 *2)) (|ofCategory| *6 (|Join| (|FunctionSpace| *5) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |resultant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|OpenMathError|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|OutputForm|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|KeyedAccessFile| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (|isDomain| *1 (|Library|)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|IntegerFactorizationPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|List| (|Fraction| *6))) (|isDomain| *3 (|Fraction| *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|RationalIntegration| *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *3 (|DivisorCategory| *10)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *3 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Record| (|:| |num| (|List| *6)) (|:| |den| *6))) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *3 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Divisor| (|Places| *5))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|Fraction| (|DistributedMultivariatePolynomial| *6 *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Divisor| (|Places| *4))) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Record| (|:| |num| (|List| (|DistributedMultivariatePolynomial| *5 *4))) (|:| |den| (|DistributedMultivariatePolynomial| *5 *4)))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *5))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| (|Fraction| (|DistributedMultivariatePolynomial| *6 *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4))) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Record| (|:| |num| (|List| (|DistributedMultivariatePolynomial| *5 *4))) (|:| |den| (|DistributedMultivariatePolynomial| *5 *4)))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *2 *4 *5 *3)) (|ofCategory| *3 (|MatrixCategory| *2 *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2)) (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Kernel| (|AlgebraicNumber|)))) (|isDomain| *1 (|AlgebraicNumber|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Kernel| (|AlgebraicNumber|))) (|isDomain| *1 (|AlgebraicNumber|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|isDomain| *3 (|List| (|Kernel| (|AlgebraicNumber|)))) (|isDomain| *1 (|AlgebraicNumber|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|isDomain| *3 (|Kernel| (|AlgebraicNumber|))) (|isDomain| *1 (|AlgebraicNumber|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|ofCategory| *2 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *2))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankAlgebra| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|QuotientFieldCategory| *3)) (|isDomain| *1 (|FractionalIdeal| *3 *2 *4 *5)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *5 (|Join| (|FramedAlgebra| *2 *4) (|RetractableTo| *2))))) ((*1 *2 *1) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|QuotientFieldCategory| *3)) (|isDomain| *1 (|FramedModule| *3 *2 *4 *5 *6)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *5 (|FramedAlgebra| *2 *4)) (|ofType| *6 (|Vector| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *5) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *5 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Kernel| (|InnerAlgebraicNumber|)))) (|isDomain| *1 (|InnerAlgebraicNumber|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Kernel| (|InnerAlgebraicNumber|))) (|isDomain| *1 (|InnerAlgebraicNumber|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|InnerAlgebraicNumber|))) (|isDomain| *3 (|List| (|Kernel| (|InnerAlgebraicNumber|)))) (|isDomain| *1 (|InnerAlgebraicNumber|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|InnerAlgebraicNumber|))) (|isDomain| *3 (|Kernel| (|InnerAlgebraicNumber|))) (|isDomain| *1 (|InnerAlgebraicNumber|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|MonogenicAlgebra| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|NormInMonogenicAlgebra| *4 *2 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4 *5 *3) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|Mapping| (|Union| (|Record| (|:| |ratpart| *6) (|:| |coeff| *6)) "failed") *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|Union| (|Record| (|:| |answer| (|Fraction| *7)) (|:| |a0| *6)) (|Record| (|:| |ratpart| (|Fraction| *7)) (|:| |coeff| (|Fraction| *7))) "failed")) (|isDomain| *1 (|TranscendentalIntegration| *6 *7)) (|isDomain| *3 (|Fraction| *7))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *4 (|CommutativeRing|))))) 
(((*1 *2 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *3) (|partial| AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariatePolynomialDivisionPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *2 *4 *5 *3)) (|ofCategory| *3 (|MatrixCategory| *2 *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *2 *4 *5 *3)) (|ofCategory| *3 (|MatrixCategory| *2 *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2)) (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Fraction| *5)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|ChangeOfVariable| *4 *5 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|CycleIndicators|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|Matrix| (|Expression| (|DoubleFloat|)))) (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *4 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *1 (|d02AgentsPackage|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Equation| *3))) (|ofCategory| *3 (|Evalable| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Equation| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|Evalable| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|Equation| *2)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Mapping| *1 *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Mapping| *1 (|List| *1))) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|BasicOperator|))) (|isDomain| *3 (|List| (|Mapping| *1 (|List| *1)))) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|BasicOperator|))) (|isDomain| *3 (|List| (|Mapping| *1 *1))) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Mapping| *1 *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Mapping| *1 (|List| *1))) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Mapping| *1 (|List| *1)))) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Mapping| *1 *1))) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Equation| *3))) (|ofCategory| *1 (|Evalable| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Equation| *3)) (|ofCategory| *1 (|Evalable| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 (|Integer|))) (|isDomain| *4 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|EvaluateCycleIndicators| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *4)) (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|FreeLieAlgebra| *4 *5)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *1 *1 *2 *1) (AND (|ofCategory| *1 (|FreeLieAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|CommutativeRing|)))) ((*1 *1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Mapping| *1 *1)) (|ofCategory| *1 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Mapping| *1 (|List| *1))) (|ofCategory| *1 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|isDomain| *4 (|List| (|Mapping| *1 (|List| *1)))) (|ofCategory| *1 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|isDomain| *4 (|List| (|Mapping| *1 *1))) (|ofCategory| *1 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|BasicOperator|))) (|isDomain| *3 (|List| *1)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| (|InputForm|))))) ((*1 *1 *1 *2 *1 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *4)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| (|InputForm|))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|FunctionSpace| *2)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *2 (|ConvertibleTo| (|InputForm|))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *4) (AND (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *2 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *4 (|PlacesCategory| *2 *8)) (|ofCategory| *9 (|DivisorCategory| *4)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *2 *5 *3 *6 *7 *8 *4 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *2 *5 *3 *6 *7 *8 *4 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3 *3 *4) (AND (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *2 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *4 (|PlacesCategory| *2 *8)) (|ofCategory| *9 (|DivisorCategory| *4)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *2 *5 *3 *6 *7 *8 *4 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *2 *5 *3 *6 *7 *8 *4 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| *6)) (|ofCategory| *6 (|PolynomialCategory| *2 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *4 (|PlacesCategory| *2 *9)) (|ofCategory| *10 (|DivisorCategory| *4)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *2 *5 *6 *7 *8 *9 *4 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *2 *5 *6 *7 *8 *9 *4 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *1 *1 *2 *3) (AND (|ofCategory| *1 (|InnerEvalable| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *4)) (|isDomain| *3 (|List| *5)) (|ofCategory| *1 (|InnerEvalable| *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Type|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|OnePointCompletion| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|MoebiusTransform| *3)))) ((*1 *2 *1 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|Places| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|Places| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|DistributedMultivariatePolynomial| *5 *2))) (|isDomain| *4 (|Places| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteFieldCategory|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteFieldCategory|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|DistributedMultivariatePolynomial| *5 *2))) (|isDomain| *4 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteFieldCategory|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|PermutationCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|PolynomialPackageForCurve| *2 *3 *5 *6 *4)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *2 *5)) (|ofCategory| *4 (|ProjectiveSpaceCategory| *2)))) ((*1 *2 *2 *3 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *4))) (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *1 (|RationalFunction| *4)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *4 (|List| (|Fraction| (|Polynomial| *5)))) (|isDomain| *2 (|Fraction| (|Polynomial| *5))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *1 (|RationalFunction| *5)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| *4)))) (|isDomain| *2 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *1 (|RationalFunction| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Equation| (|Fraction| (|Polynomial| *4))))) (|isDomain| *2 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *1 (|RationalFunction| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|has| *3 (SIGNATURE ** (*3 *3 *4))) (|isDomain| *2 (|Stream| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Symbol|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|isDomain| *2 (|Record| (|:| |particular| *4) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|ConstantLODE| *6 *4 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2)) (|ofCategory| *2 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|))))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|List| (|Integer|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SetCategory|)) (|isDomain| *2 (|String|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *4 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *1 *2 *2) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *4 *5 *6)) (|ofCategory| *6 (|MatrixCategory| *3 *4 *5)))) ((*1 *2 *3 *3) (AND (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|ModularHermitianRowReduction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|AlgebraicFunction| *4 *2))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|FramedAlgebra&| *3 *4 *5)) (|ofCategory| *3 (|FramedAlgebra| *4 *5)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedAlgebra| *3 *4)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|SetAggregate| *3)))) ((*1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|None|)) (|isDomain| *1 (|Any|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofCategory| *4 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|NormRetractPackage| *3 *4 *5 *2 *6)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|ofType| *6 (|PositiveInteger|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ExtensionField| *2)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Finite|))))) 
(((*1 *2 *2 *2 *2 *3 *3 *4) (|partial| AND (|isDomain| *3 (|Kernel| *2)) (|isDomain| *4 (|Mapping| (|Union| *2 "failed") *2 *2 (|Symbol|))) (|ofCategory| *2 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|PureAlgebraicIntegration| *5 *2 *6)) (|ofCategory| *6 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *3 *3 *5) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |ratpart| *3) (|:| |coeff| *3))) (|isDomain| *1 (|GenusZeroIntegration| *6 *3 *7)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *2 *3 *4 *4 *3 *4 *3 *5) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|Fraction| (|SparseUnivariatePolynomial| *3))) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |ratpart| *3) (|:| |coeff| *3))) (|isDomain| *1 (|GenusZeroIntegration| *6 *3 *7)) (|ofCategory| *7 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|Finite|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| (|U32Vector|))) (|isDomain| *1 (|U32VectorPolynomialOperations|)) (|isDomain| *3 (|U32Vector|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Matrix| (|Fraction| *4)))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *4 *5 *3)) (|ofCategory| *4 (|Type|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *4))))) 
(((*1 *1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| (|Stream| *4))) (|isDomain| *1 (|EllipticFunctionsUnivariateTaylorSeries| *4 *5)) (|isDomain| *3 (|Stream| *4)) (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|AffineSpaceCategory| *3))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Integer|)) (|ofCategory| *6 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|LinearSystemFromPowerSeriesPackage| *5 *6))))) 
(((*1 *2 *3 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|U32Vector|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FileCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1) (|isDomain| *1 (|Library|)))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|InfiniteProductCharacteristicZero| *4 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| *3))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|MonogenicAlgebra| *4 *5)) (|isDomain| *1 (|InfiniteProductFiniteField| *4 *5 *6 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *6)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Join| (|Field|) (|Finite|) (|ConvertibleTo| *3))) (|isDomain| *1 (|InfiniteProductPrimeField| *4 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|StreamInfiniteProduct| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|PolynomialComposition| *2 *3)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| *1)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Stream| *3))) (|isDomain| *1 (|Stream| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *7)) (|:| |badPols| (|List| *7)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *7)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|ProjectivePlane| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *3))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|List| *7)) (|isDomain| *1 (|ProjectiveAlgebraicSetPackage| *4 *5 *3 *6 *7)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |den| (|Integer|)) (|:| |gcdnum| (|Integer|)))) (|isDomain| *1 (|PointsOfFiniteOrderTools| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PointsOfFiniteOrderTools| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *1 *1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *3 (|IntegralDomain|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *6 (|PositiveInteger|)) (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Record| (|:| |plist| (|List| *3)) (|:| |modulo| *5))) (|isDomain| *1 (|GeneralHenselPackage| *5 *3)) (|isDomain| *4 (|List| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateFormalPowerSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|CombinatorialFunctionCategory|))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|EuclideanGroebnerBasisPackage| *4 *5 *6 *2))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| *4) (|LinearlyExplicitRingOver| *4))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Equation| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| *5) (|LinearlyExplicitRingOver| *5))) (|isDomain| *5 (|Integer|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *6 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *7 (|Integer|))) (|isDomain| *4 (|Equation| *7)) (|isDomain| *5 (|UniversalSegment| (|Integer|))) (|ofCategory| *7 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *6 *7)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3)) (|isDomain| *6 (|UniversalSegment| (|Integer|))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *7))) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *7 *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *4 *3)) (|ofCategory| *3 (|UnivariateTaylorSeriesCategory| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateLaurentSeriesCategory| *3))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Stream| *4) (|Stream| *4))) (|isDomain| *2 (|Stream| *4)) (|isDomain| *1 (|ParadoxicalCombinatorsForStreams| *4)) (|ofCategory| *4 (|Type|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| (|List| (|Stream| *5)) (|List| (|Stream| *5)))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| (|Stream| *5))) (|isDomain| *1 (|ParadoxicalCombinatorsForStreams| *5)) (|ofCategory| *5 (|Type|))))) 
(((*1 *2 *1 *2 *3) (|partial| AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 *2) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ComplexCategory&| *3 *4)) (|ofCategory| *3 (|ComplexCategory| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankAlgebra| *3 *4)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|LinearSystemMatrixPackage| *5 *6 *4 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *5)) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|LinearSystemMatrixPackage1| *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4 *3 *5) (AND (|ofCategory| *6 (|Field|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|ofCategory| *9 (|LocalPowerSeriesCategory| *6)) (|isDomain| *2 (|Record| (|:| |fnc| *3) (|:| |crv| *3) (|:| |chart| (|List| (|Integer|))))) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *6 *7 *3 *8 *4 *9 *10)) (|isDomain| *5 (|Integer|)) (|ofCategory| *3 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *4 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *10 (|PlacesCategory| *6 *9))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Union| (|SparseUnivariatePolynomial| *4) (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|))))))) (|isDomain| *1 (|FiniteFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|EuclideanDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|GraphImage|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|InnerModularGcd| *4 *2 *5 *6)) (|ofCategory| *4 (|EuclideanDomain|)) (|ofType| *5 *4) (|ofType| *6 (|Mapping| *4 *4 (|NonNegativeInteger|)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *2 *1) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|Magma| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QueueAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Tuple| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|RadicalCategory|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|))))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *1 (|IntegerPrimesPackage| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)) (|isDomain| *1 (|BezoutMatrix| *4 *3 *2 *5 *6)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|Record| (|:| |cont| *5) (|:| |factors| (|List| (|Record| (|:| |irr| *3) (|:| |pow| (|Integer|))))))) (|isDomain| *1 (|DistinctDegreeFactorize| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *1 *2 *3 *1) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *1 (|DrawOptionFunctions1| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|List| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4)))) ((*1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3))) ((*1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|BalancedBinaryTree| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SquareMatrix| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|QuadraticForm| *3 *4))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4 *5 *6 *7) (AND (|isDomain| *3 (|Matrix| *11)) (|isDomain| *4 (|List| (|Fraction| (|Polynomial| *8)))) (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|String|)) (|ofCategory| *8 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *11 (|PolynomialCategory| *8 *10 *9)) (|ofCategory| *9 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *10 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |rgl| (|List| (|Record| (|:| |eqzro| (|List| *11)) (|:| |neqzro| (|List| *11)) (|:| |wcond| (|List| (|Polynomial| *8))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *8)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *8)))))))))) (|:| |rgsz| (|Integer|)))) (|isDomain| *1 (|ParametricLinearEquations| *8 *9 *10 *11)) (|isDomain| *7 (|Integer|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $)))))))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |val| *1) (|:| |exponent| (|Integer|)))) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Record| (|:| |val| (|Pattern| *3)) (|:| |exponent| (|Pattern| *3)))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|Record| (|:| |val| *3) (|:| |exponent| (|Integer|)))) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $)))))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 *5)) (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Mapping| (|Stream| *4) (|Stream| *4))) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *5))))) 
(((*1 *2 *3 *4 *5 *5 *6) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined")) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *6 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|MeshCreationRoutinesForThreeDimensions|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|List| (|Fraction| (|Polynomial| *6)))) (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|RationalFunctionIntegration| *6))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *3)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| *4) (|:| |degree| (|Integer|))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|Multiset| (|NonNegativeInteger|))) (|isDomain| *1 (|GaloisGroupFactorizer| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Factored| *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Multiset| (|NonNegativeInteger|))) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|HeuGcd| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|ofCategory| *1 (|IntervalCategory| *3)) (|ofCategory| *3 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *2) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *2 *2) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|IntegerNumberSystem|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *4)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *3) (AND (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSolveByFormulas| *4 *3)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|OrderedRing|)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |ans| (|Fraction| *5)) (|:| |nosol| (|Boolean|)))) (|isDomain| *1 (|TranscendentalRischDE| *4 *5)) (|isDomain| *3 (|Fraction| *5))))) 
(((*1 *1 *1) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|FiniteFieldFactorization| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|FiniteFieldFactorizationWithSizeParseBySideEffect| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *6 *7 *8)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 (|Integer|))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 (|Integer|))) (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 (|Integer|))) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Segment| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *6 *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6 *4 *5)) (|isDomain| *1 (|MappingPackage3| *4 *5 *6)) (|ofCategory| *5 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|NewtonInterpolation| *4))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *1 (|MappingPackageInternalHacks2| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|Record| (|:| C (|Matrix| *5)) (|:| |g| (|Vector| *5))))) (|isDomain| *1 (|PseudoLinearNormalForm| *5)) (|isDomain| *3 (|Matrix| *5)) (|isDomain| *4 (|Vector| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|BinaryTournament| *3))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *3 *5) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp24| FUNCT1)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |llcmres| *1) (|:| |coeff1| *1) (|:| |coeff2| *1))) (|ofCategory| *1 (|LeftOreRing|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|))))) 
(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| (|HomogeneousDistributedMultivariatePolynomial| *4 *5))) (|isDomain| *3 (|List| (|OrderedVariableList| *4))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *1 (|GroebnerSolve| *4 *5 *6)) (|ofCategory| *6 (|GcdDomain|))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternMatchResult| *4 *5)) (|ofCategory| *5 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternFunctions1| *5 *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternFunctions1| *5 *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|RealNumberSystem|)) (|ofCategory| *3 (|TranscendentalFunctionCategory|)) (|isDomain| *2 (|Record| (|:| |r| *3) (|:| |phi| *3)))))) 
(((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *3 *4 *3 *4 *4 *4 *4 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|isDomain| *1 (|IntegralBasisTools| *2 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *2 *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|List| (|Point| *3)))))))) 
(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| *2)))) (|isDomain| *4 (|Kernel| *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|GenusZeroIntegration| *5 *2 *6)) (|ofCategory| *6 (|SetCategory|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|SparseUnivariatePolynomial| *2))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $))))) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *5 *4 *6 *7 *2)) (|ofCategory| *7 (|PolynomialCategory| *6 *5 *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *5))))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Fraction| (|Polynomial| *5))) (|isDomain| *1 (|RationalFunction| *5)) (|ofCategory| *5 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|BagAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5 *6 *7 *8 *9) (|partial| AND (|isDomain| *4 (|List| *11)) (|isDomain| *5 (|List| (|SparseUnivariatePolynomial| *9))) (|isDomain| *6 (|List| *9)) (|isDomain| *7 (|List| *12)) (|isDomain| *8 (|List| (|NonNegativeInteger|))) (|ofCategory| *11 (|OrderedSet|)) (|ofCategory| *9 (|EuclideanDomain|)) (|ofCategory| *12 (|PolynomialCategory| *9 *10 *11)) (|ofCategory| *10 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *12))) (|isDomain| *1 (|MultivariateLifting| *10 *11 *9 *12)) (|isDomain| *3 (|SparseUnivariatePolynomial| *12))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|Mapping| (|SparseUnivariatePolynomial| *3) (|SparseUnivariatePolynomial| *3))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|AlgebraicIntegration| *6 *3))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|ODEIntegration| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedFunctionSpace| *4) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))))) ((*1 *1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *3) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)))) ((*1 *2) (AND (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|FunctionFieldIntegralBasis| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4)))) ((*1 *2) (AND (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) (|isDomain| *1 (|NumberFieldIntegralBasis| *3 *4)) (|ofCategory| *4 (|FramedAlgebra| (|Integer|) *3)))) ((*1 *2) (AND (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *4)) (|:| |basisDen| *4) (|:| |basisInv| (|Matrix| *4)))) (|isDomain| *1 (|PAdicWildFunctionFieldIntegralBasis| *3 *4 *5 *6)) (|ofCategory| *6 (|MonogenicAlgebra| *4 *5)))) ((*1 *2) (AND (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *4)) (|:| |basisDen| *4) (|:| |basisInv| (|Matrix| *4)))) (|isDomain| *1 (|WildFunctionFieldIntegralBasis| *3 *4 *5 *6)) (|ofCategory| *6 (|FramedAlgebra| *4 *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|FiniteAbelianMonoidRing| *5 *7)) (|ofCategory| *7 (|DirectProductCategory| *8 (|NonNegativeInteger|))) (|ofType| *8 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialPackageForCurve| *5 *6 *7 *8 *4)) (|ofCategory| *4 (|ProjectiveSpaceCategory| *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|InnerModularGcd| *4 *2 *5 *6)) (|ofCategory| *4 (|EuclideanDomain|)) (|ofType| *5 *4) (|ofType| *6 (|Mapping| *4 *4 (|NonNegativeInteger|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *2)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *2)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|CachableSet|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|Product| *3 *2)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|List| *8))) (|isDomain| *3 (|List| *8)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|isDomain| *1 (|TangentExpansions| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4 *3 *5 *5 *3 *5 *4) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *3 *4 *5 *6 *2 *7 *8) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *11))) (|isDomain| *3 (|SparseUnivariatePolynomial| *11)) (|isDomain| *4 (|List| *10)) (|isDomain| *5 (|List| *8)) (|isDomain| *6 (|List| (|NonNegativeInteger|))) (|isDomain| *7 (|Vector| (|List| (|SparseUnivariatePolynomial| *8)))) (|ofCategory| *10 (|OrderedSet|)) (|ofCategory| *8 (|EuclideanDomain|)) (|ofCategory| *11 (|PolynomialCategory| *8 *9 *10)) (|ofCategory| *9 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|MultivariateLifting| *9 *10 *8 *11))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| *2)) (|:| |logand| (|SparseUnivariatePolynomial| *2))))) (|isDomain| *4 (|List| (|Record| (|:| |integrand| *2) (|:| |intvar| *2)))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|IntegrationResult| *2))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Vector| *5)) (|ofCategory| *5 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderingFunctions| *4 *5)) (|ofType| *4 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3 *3 *4 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineInteger|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineInteger|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|IntegrationResult| *2)) (|ofCategory| *2 (|RetractableTo| *3)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *2 *2) (AND (|isDomain| *1 (|IntegrationResult| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *4 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|SegmentBinding| *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *4 *2)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PrimitiveFunctionCategory|)) (|isDomain| *2 (|Symbol|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|SegmentBinding| *1)) (|ofCategory| *1 (|PrimitiveFunctionCategory|))))) 
(((*1 *2 *1 *1 *3) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *3 (|Character|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| *10)) (|isDomain| *1 (|LazardSetSolvingPackage| *5 *6 *7 *8 *9 *10)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *10 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6)))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|RegularChain| *5 *6))) (|isDomain| *1 (|LexTriangularPackage| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6)))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *5 (|IndexedExponents| (|OrderedVariableList| *6)) (|OrderedVariableList| *6) (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6))))) (|isDomain| *1 (|LexTriangularPackage| *5 *6)))) ((*1 *2 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|RegularTriangularSet| *5 *6 *7 *8))) (|isDomain| *1 (|RegularTriangularSet| *5 *6 *7 *8)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|RegularTriangularSet| *5 *6 *7 *8))) (|isDomain| *1 (|RegularTriangularSet| *5 *6 *7 *8)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6)))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|RegularChain| *5 *6))) (|isDomain| *1 (|RegularChain| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *5 *6 *7 *8)))) ((*1 *2 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *5 *6 *7 *8))) (|isDomain| *1 (|SquareFreeRegularTriangularSet| *5 *6 *7 *8)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *5 *6 *7 *8))) (|isDomain| *1 (|SquareFreeRegularTriangularSet| *5 *6 *7 *8)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *1 (|SplittingNode| *3 *2)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4 *5 *6 *7) (AND (|isDomain| *3 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *6)))) (|isDomain| *4 (|Reference| (|OrderedCompletion| (|Integer|)))) (|isDomain| *5 (|Symbol|)) (|isDomain| *7 (|Fraction| (|Integer|))) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3 *4 *5 *5 *2) (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|Polynomial| *6)) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|OrderedCompletion| *7)) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|ofCategory| *7 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *6))) (|isDomain| *1 (|DefiniteIntegrationTools| *6 *7)))) ((*1 *2 *3 *4 *4 *2) (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|SparseUnivariatePolynomial| *6)) (|isDomain| *4 (|OrderedCompletion| *6)) (|ofCategory| *6 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *5))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|DefiniteIntegrationTools| *5 *6))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|CyclotomicPolynomialPackage|)) (|isDomain| *3 (|Integer|)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|NumberTheoreticPolynomialFunctions| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1) (|isDomain| *1 (|Float|)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *7)) (|:| |badPols| (|List| *7)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Union| (|:| |nullBranch| "null") (|:| |assignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |arrayIndex| (|List| (|Polynomial| (|Integer|)))) (|:| |rand| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |arrayAssignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |rand| (|OutputForm|)) (|:| |ints2Floats?| (|Boolean|)))) (|:| |conditionalBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |thenClause| (|FortranCode|)) (|:| |elseClause| (|FortranCode|)))) (|:| |returnBranch| (|Record| (|:| |empty?| (|Boolean|)) (|:| |value| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |blockBranch| (|List| (|FortranCode|))) (|:| |commentBranch| (|List| (|String|))) (|:| |callBranch| (|String|)) (|:| |forBranch| (|Record| (|:| |range| (|SegmentBinding| (|Polynomial| (|Integer|)))) (|:| |span| (|Polynomial| (|Integer|))) (|:| |body| (|FortranCode|)))) (|:| |labelBranch| (|SingleInteger|)) (|:| |loopBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |body| (|FortranCode|)))) (|:| |commonBranch| (|Record| (|:| |name| (|Symbol|)) (|:| |contents| (|List| (|Symbol|))))) (|:| |printBranch| (|List| (|OutputForm|))))) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Kernel| *4)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|KernelFunctions2| *2 *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *6 (|Field|)) (|isDomain| *4 (|TaylorSeries| *6)) (|isDomain| *2 (|Mapping| (|Stream| *4) (|Stream| *4))) (|isDomain| *1 (|WeierstrassPreparation| *6)) (|isDomain| *5 (|Stream| *4))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Mapping| *4 (|Integer|))) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *3 (|DivisorCategory| *10)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *3 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *3 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|isDomain| *1 (|InterpolateFormsPackage| *4 *5 *6 *7 *8 *9 *10 *3)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *3 (|DivisorCategory| *10)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|DistributedMultivariatePolynomial| *5 *4))) (|isDomain| *3 (|Divisor| (|Places| *4))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *5))) (|isDomain| *4 (|List| (|DistributedMultivariatePolynomial| *6 *5))) (|ofCategory| *5 (|FiniteFieldCategory|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|DistributedMultivariatePolynomial| *6 (|PseudoAlgebraicClosureOfFiniteField| *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|ofCategory| *7 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *3 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *3 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *3 *5))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingNode| *3 *2)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Reference| (|OrderedCompletion| (|Integer|)))) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |mat| (|Matrix| *5)) (|:| |vec| (|Vector| (|List| (|PositiveInteger|)))))) (|isDomain| *1 (|AssociatedEquations| *5 *3)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|EuclideanDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GenExEuclid| *5 *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|ElementaryIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|e04AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|e04AgentsPackage|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|HomogeneousDistributedMultivariatePolynomial| *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Polynomial| *5)) (|isDomain| *1 (|PolToPol| *4 *5))))) 
(((*1 *2 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2) (AND (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |val| (|List| *6)) (|:| |tower| *7)))) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|QuasiComponentPackage| *3 *4 *5 *6 *7)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |val| (|List| *6)) (|:| |tower| *7)))) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *3 *4 *5 *6 *7))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Vector| *1)) (|isDomain| *4 (|Mapping| *5 *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *1 (|MonogenicAlgebra| *5 *6)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Matrix| *5))))) 
(((*1 *1) (|ofCategory| *1 (|AbelianMonoid|))) ((*1 *1) (AND (|ofCategory| *1 (|GradedModule| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *1) (|isDomain| *1 (|InputForm|))) ((*1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|SegmentBinding| (|Polynomial| (|Integer|)))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|)))) ((*1 *1 *2 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|PolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |poly| *3) (|:| |mult| *5))) (|isDomain| *1 (|GroebnerInternalPackage| *5 *6 *7 *3))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *1 (|FourierSeries| *3 *2)) (|ofCategory| *3 (|Join| (|CommutativeRing|) (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *2 (|Join| (|OrderedSet|) (|AbelianGroup|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Tableau| (|List| *4))) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|List| *4))) (|isDomain| *1 (|TableauxBumpers| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *2 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *4)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *3 *3 *3) (AND (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSolveByFormulas| *4 *3)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|TrigonometricFunctionCategory|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|LinearSystemFromPowerSeriesPackage| *5 *3)) (|ofCategory| *3 (|LocalPowerSeriesCategory| *5))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ToolsForSign| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *2 (|List| (|Fraction| (|Integer|)))) (|isDomain| *1 (|RealZeroPackage| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Float|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Matrix| *1)) (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|Vector| *1)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Matrix| *1)) (|ofCategory| *1 (|CharacteristicNonZero|)) (|ofCategory| *1 (|PolynomialFactorizationExplicit|)) (|isDomain| *2 (|Vector| *1))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|XRecursivePolynomial| *4 *2)) (|ofCategory| *1 (|FreeLieAlgebra| *4 *2)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *2)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|OrderedFreeMonoid| *4)) (|ofCategory| *1 (|XFreeAlgebra| *4 *2)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| (|AlgebraicNumber|)))) (|isDomain| *1 (|AlgebraicNumber|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|QuotientFieldCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *2 (|EuclideanDomain|)) (|isDomain| *1 (|FractionalIdeal| *2 *3 *4 *5)) (|ofCategory| *5 (|Join| (|FramedAlgebra| *3 *4) (|RetractableTo| *3))))) ((*1 *2 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|SparseMultivariatePolynomial| *3 (|Kernel| *1))) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| (|InnerAlgebraicNumber|)))) (|isDomain| *1 (|InnerAlgebraicNumber|)))) ((*1 *2 *1) (AND (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *2 (|SubsetCategory| (|Monoid|) *4)) (|isDomain| *1 (|LocalAlgebra| *3 *4 *2)) (|ofCategory| *3 (|Algebra| *4)))) ((*1 *2 *1) (AND (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *2 (|SubsetCategory| (|Monoid|) *4)) (|isDomain| *1 (|Localize| *3 *4 *2)) (|ofCategory| *3 (|Module| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3 *4 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FunctionSpace| *2)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|MyExpression| *2 *3)) (|ofType| *2 (|Symbol|)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Expression| *3)) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *5 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *4) (|:| |exponent| *5)) (|Record| (|:| |index| *4) (|:| |exponent| *5)))) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|GeneralModulePolynomial| *3 *2 *4 *5 *6 *7)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *2 *5 (|OrderedVariableList| *3))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedDirectProductCategory| *2 *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|LaurentPolynomial| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MonogenicLinearOperator| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|MonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|Monoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PowerSeriesCategory| *2 *3 *4)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|PolynomialCategory| (|Fraction| (|Polynomial| *6)) *5 *4)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *5 *4 *6 *2)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $))))) (|ofCategory| *6 (|IntegralDomain|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|CommutativeRing|))))) 
(((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (|partial| |ofCategory| *1 (|StepThrough|)))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|Mapping| (|Record| (|:| |ans| *6) (|:| |right| *6) (|:| |sol?| (|Boolean|))) (|Integer|) *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|Record| (|:| |answer| (|IntegrationResult| (|Fraction| *7))) (|:| |a0| *6))) (|isDomain| *1 (|TranscendentalIntegration| *6 *7)) (|isDomain| *3 (|Fraction| *7))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 (|List| *2))) (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *5)) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *5 *2))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|AlgebraicallyClosedField|)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5)))) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorFactorizer| *4 *5)) (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5)))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|IntegralDomain|)) (|ofCategory| *3 (|PolynomialCategory| *7 *5 *6)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *3) (|:| |radicand| (|List| *3)))) (|isDomain| *1 (|PolynomialRoots| *5 *6 *7 *3 *8)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *8 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |numer| (*3 $)) (SIGNATURE |denom| (*3 $)) (SIGNATURE |coerce| ($ *3)))))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *3 (|PositiveInteger|)) (|has| *4 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Matrix| *4))) (|isDomain| *3 (|PositiveInteger|)) (|has| *4 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *4))))) 
(((*1 *2 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|Fraction| (|Polynomial| *4))) (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|RationalFunctionIntegration| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|List| (|Polynomial| *4))))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|List| (|Polynomial| *4))) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|List| (|Polynomial| *3))))) ((*1 *2) (AND (|isDomain| *2 (|List| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|GenericNonAssociativeAlgebra| *4 *5 *6 *7))) (|isDomain| *2 (|List| (|Polynomial| *4))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *4 *5 *6 *7)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|CommutativeRing|)) (|ofType| *5 (|PositiveInteger|)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|Vector| (|Matrix| *4)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RecursiveAggregate| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|SubSpace| *3 *4))) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3)))) ((*1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *1 *1) (|ofCategory| *1 (|Logic|))) ((*1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|List| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Equation| (|OnePointCompletion| *3))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|OnePointCompletion| *3)) (|isDomain| *1 (|PowerSeriesLimitPackage| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|OnePointCompletion| (|Polynomial| *5)))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|OnePointCompletion| (|Fraction| (|Polynomial| *5)))) (|isDomain| *1 (|RationalFunctionLimitPackage| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|Fraction| (|Polynomial| *5)))) (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|OnePointCompletion| *3)) (|isDomain| *1 (|RationalFunctionLimitPackage| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| *5)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| *5) (|:| |degree| (|Integer|))))) (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Permutation| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|RepresentationPackage1| *5)) (|ofCategory| *5 (|Ring|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|RepresentationPackage1| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Permutation| (|Integer|)))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| (|Matrix| *4))) (|isDomain| *1 (|RepresentationPackage1| *5)) (|ofCategory| *5 (|Ring|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Integer|)))) (|isDomain| *2 (|List| (|Matrix| (|Integer|)))) (|isDomain| *1 (|RepresentationPackage1| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|isDomain| *2 (|Record| (|:| |answer| *3) (|:| |logpart| *3))) (|isDomain| *1 (|AlgebraicHermiteIntegration| *5 *6 *7 *3)) (|ofCategory| *3 (|FunctionFieldCategory| *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |answer| (|Fraction| *6)) (|:| |logpart| (|Fraction| *6)) (|:| |specpart| (|Fraction| *6)) (|:| |polypart| *6))) (|isDomain| *1 (|TranscendentalHermiteIntegration| *5 *6)) (|isDomain| *3 (|Fraction| *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|FreeNilpotentLie| *3 *4 *5)) (|ofType| *3 (|NonNegativeInteger|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|))))) 
(((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|DoubleFloat|))) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ComplexCategory&| *3 *4)) (|ofCategory| *3 (|ComplexCategory| *4)))) ((*1 *2) (AND (|ofType| *4 *2) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DirectProductCategory&| *3 *4 *5)) (|ofCategory| *3 (|DirectProductCategory| *4 *5)))) ((*1 *2) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FunctionSpace&| *3 *4)) (|ofCategory| *3 (|FunctionSpace| *4)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|IntegerNumberSystem&| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)))) ((*1 *2) (AND (|ofCategory| *1 (|NonAssociativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OctonionCategory&| *3 *4)) (|ofCategory| *3 (|OctonionCategory| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|QuotientFieldCategory&| *3 *4)) (|ofCategory| *3 (|QuotientFieldCategory| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|QuaternionCategory&| *3 *4)) (|ofCategory| *3 (|QuaternionCategory| *4)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RealClosedField&| *3)) (|ofCategory| *3 (|RealClosedField|)))) ((*1 *2) (AND (|ofCategory| *1 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RealNumberSystem&| *3)) (|ofCategory| *3 (|RealNumberSystem|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SortedCache| *3)) (|ofCategory| *3 (|CachableSet|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|StackAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|HTMLFormat|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|MathMLFormat|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))) (|isDomain| *1 (|d01AgentsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|isDomain| *1 (|AlgebraicManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *4 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *4 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *4 (|Kernel| $)))))))))) 
(((*1 *2 *3 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *2))))) ((*1 *2 *3) (AND (|ofCategory| *2 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *2)))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *3 *3 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SubSpace| 3 (|DoubleFloat|))) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Export3D|))))) 
(((*1 *2 *2) (AND (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *2 *3)) (|ofCategory| *3 (|LeftModule| *2)))) ((*1 *2 *2) (AND (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *2)) (|ofCategory| *2 (|Finite|)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *2))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|)))) ((*1 *2 *3) (AND (|ofCategory| *5 (|Join| (|ConvertibleTo| *2) (|CommutativeRing|))) (|isDomain| *2 (|Pattern| *4)) (|isDomain| *1 (|ComplexPattern| *4 *5 *3)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *3 (|ComplexCategory| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Segment| (|OrderedCompletion| (|Float|))))) (|isDomain| *2 (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|Float|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *1 (|FramedAlgebra| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedAlgebra| *3 *4)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Vector| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Factored| *1)) (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GeneralPolynomialSet| *3 *4 *5 *6)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|InputForm|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ConvertibleTo| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *1 (|MonogenicAlgebra| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|PointCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RomanNumeral|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)))) ((*1 *1 *2) (OR (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|Algebra| (|Integer|))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))) (AND (|isDomain| *2 (|Polynomial| (|Integer|))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|)))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |val| (|List| *7)) (|:| |tower| *8))) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *4 *5 *6 *7 *8)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|SingletonAsOrderedSet|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *2 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *2 *5 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *2 *4 *5 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|SExpressionCategory| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |val| (|List| *7)) (|:| |tower| *8))) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *8 (|SquareFreeRegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *4 *5 *6 *7 *8)))) ((*1 *1 *2 *3 *2) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|TexFormat|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|TexFormat|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *5))) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *6 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|Polynomial| (|RealClosure| (|Fraction| *4)))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6))) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|Polynomial| (|RealClosure| (|Fraction| *4)))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|SparseUnivariatePolynomial| (|RealClosure| (|Fraction| *4)))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|SquareFreeRegularTriangularSet| *4 (|IndexedExponents| (|OrderedVariableList| *6)) (|OrderedVariableList| *6) (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6)))) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6)))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |totdeg| (|NonNegativeInteger|)) (|:| |pol| *3)))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *3 (|PolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *5 *6 *7 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|GuessFiniteFunctions| *3)) (|ofCategory| *3 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|))))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|isDomain| *1 (|CommonDenominator| *3 *4 *2)) (|ofCategory| *2 (|FiniteLinearAggregate| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|ofCategory| *2 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|InnerCommonDenominator| *4 *5 *2 *3)) (|ofCategory| *3 (|FiniteLinearAggregate| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *5)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|MatrixCommonDenominator| *4 *5)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|QuotientFieldCategory| *3)) (|isDomain| *1 (|UnivariatePolynomialCommonDenominator| *3 *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| (|DoubleFloat|)))) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|RadicalCategory|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |k| (|Symbol|)) (|:| |c| (|XPolynomial| *3))))) (|isDomain| *1 (|XPolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |k| *3) (|:| |c| (|XRecursivePolynomial| *3 *4))))) (|isDomain| *1 (|XRecursivePolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *3 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *9 (|PlacesCategory| *4 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *3 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *9)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *3 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *3) (AND (|isDomain| *3 (|ProjectivePlane| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| (|Places| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |integrand| *3) (|:| |intvar| *3)))) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|Logic|))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *5 (|Integer|)) (|isDomain| *2 (|TubePlot| *3)) (|isDomain| *1 (|NumericTubePlot| *3)) (|ofCategory| *3 (|PlottableSpaceCurveCategory|)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *4 (|Boolean|)) (|isDomain| *1 (|TubePlot| *2)) (|ofCategory| *2 (|PlottableSpaceCurveCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OrderedFreeMonoid| *4)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LyndonWord| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *3)))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|))))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlottablePlaneCurveCategory|)) (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PlottableSpaceCurveCategory|)) (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|)))))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *2))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TubePlot| *3)) (|ofCategory| *3 (|PlottableSpaceCurveCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Matrix| *5))) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|RepresentationPackage2| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|IntegerNumberSystem|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|CyclicStreamTools| *4 *3)) (|ofCategory| *3 (|LazyStreamAggregate| *4))))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |gcd| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| (|List| *3))) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|PositiveInteger|))) (|isDomain| *5 (|PositiveInteger|)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|FiniteLinearAggregate| *6)) (|ofCategory| *8 (|FiniteLinearAggregate| *6)) (|isDomain| *2 (|List| (|List| *3))) (|isDomain| *1 (|MatrixManipulation| *6 *7 *8 *3)) (|ofCategory| *3 (|MatrixCategory| *6 *7 *8)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|List| (|PositiveInteger|))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|FiniteLinearAggregate| *6)) (|ofCategory| *8 (|FiniteLinearAggregate| *6)) (|isDomain| *2 (|List| (|List| *3))) (|isDomain| *1 (|MatrixManipulation| *6 *7 *8 *3)) (|ofCategory| *3 (|MatrixCategory| *6 *7 *8)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|List| (|PositiveInteger|))) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| (|List| *3))) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|OneDimensionalArray| (|List| (|LyndonWord| *5)))) (|isDomain| *1 (|LyndonWord| *5))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|List| *5))) (|isDomain| *1 (|FloatingRealPackage| *5)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|Field|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Integer|)))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|FloatingRealPackage| *4)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Union| "nil" "sqfr" "irred" "prime")) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2) (AND (|ofCategory| *2 (|Ring|)) (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Expression| *3)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|IntegerNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Complex| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |outval| (|Complex| *4)) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| (|Complex| *4))))))) (|isDomain| *1 (|NumericComplexEigenPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *1 *2 *3 *3 *3 *4) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|ofCategory| *1 (|FiniteDivisorCategory| *4 *3 *5 *2)) (|ofCategory| *2 (|FunctionFieldCategory| *4 *3 *5)))) ((*1 *1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *1 (|FiniteDivisorCategory| *2 *4 *5 *6)) (|ofCategory| *6 (|FunctionFieldCategory| *2 *4 *5)))) ((*1 *1 *2 *2) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|ofCategory| *1 (|FiniteDivisorCategory| *2 *3 *4 *5)) (|ofCategory| *5 (|FunctionFieldCategory| *2 *3 *4)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *2)) (|ofCategory| *2 (|FunctionFieldCategory| *3 *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FractionalIdeal| *4 (|Fraction| *4) *5 *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *6))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ArrayStack| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *1 (|BagAggregate| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Dequeue| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|Heap| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Queue| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Stack| *3))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *3)) (|ofCategory| *3 (|ConvertibleTo| (|Float|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *3)) (|ofCategory| *3 (|ConvertibleTo| (|Float|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Complex| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Complex| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| (|Complex| *4))) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Polynomial| (|Complex| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|CommutativeRing|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Polynomial| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| *4)))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| *5)))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Expression| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|Complex| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| (|Complex| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| (|Float|))) (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|Numeric| *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *1 *1 *2) (|partial| AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|List| (|Record| (|:| |func| *2) (|:| |pole| (|Boolean|))))) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|RadicalCategory|))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *4 *2))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|NormalizationPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|U32Vector|)) (|isDomain| *5 (|Integer|)) (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *3 *6)) (|ofCategory| *3 (|Type|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Permutation| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|PermutationGroup| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PowerSeriesCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *4)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *4))))))) (|isDomain| *3 (|List| *7)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|AntiSymm| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (|ofCategory| *1 (|ElementaryFunctionCategory|))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|LiePolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofType| *5 (|PositiveInteger|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|Ring|) (|Module| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|XExponentialPackage| *4 *5 *2)) (|ofCategory| *2 (|XPolynomialsCat| *5 *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|XPBWPolynomial| *3 *4)) (|ofCategory| *4 (|Module| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3 *5) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp50| LSFUN1)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *9 (|PlacesCategory| *4 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *3 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *12)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *3 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *12)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|DesingTree| (|InfClsPt| *3 *4 *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|List| (|DesingTree| (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| *3 *4 *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Any|)) (|isDomain| *1 (|InputForm|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|InputForm|)) (|isDomain| *1 (|InputFormFunctions1| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *5)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Boolean|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *3 *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *3 *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |val| (|List| *8)) (|:| |tower| *9)))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |val| (|List| *8)) (|:| |tower| *9)))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *5 *5)) (|ofCategory| *5 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|Record| (|:| |solns| (|List| *5)) (|:| |maps| (|List| (|Record| (|:| |arg| *5) (|:| |res| *5)))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *5)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|IntegralDomain|)) (|ofCategory| *8 (|PolynomialCategory| *7 *5 *6)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *3) (|:| |radicand| *3))) (|isDomain| *1 (|PolynomialRoots| *5 *6 *7 *8 *3)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |numer| (*8 $)) (SIGNATURE |denom| (*8 $)) (SIGNATURE |coerce| ($ *8)))))))) 
(((*1 *2 *3) (AND (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *6 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|BezoutMatrix| *2 *3 *4 *5 *6)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|MatrixCategory| *2 *5 *6))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Mapping| (|InputForm|) (|List| (|InputForm|)))) (|isDomain| *1 (|BasicOperator|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|InputForm|) (|List| (|InputForm|)))) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Permutation| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|PermutationGroup| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *5 (|PolynomialFactorizationExplicit|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|PolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *8))) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *5 *6 *7 *8)) (|isDomain| *4 (|SparseUnivariatePolynomial| *8)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|PolynomialFactorizationByRecursionUnivariate| *4 *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| *5))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Set| (|Set| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|Point| *3)))))) ((*1 *1 *2 *3 *3) (AND (|isDomain| *2 (|List| (|List| (|Point| *4)))) (|isDomain| *3 (|Boolean|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| (|Point| *3)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1 *1 *2 *3 *3) (AND (|isDomain| *2 (|List| (|List| (|List| *4)))) (|isDomain| *3 (|Boolean|)) (|ofCategory| *1 (|ThreeSpaceCategory| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2 *3 *3) (AND (|isDomain| *2 (|List| (|List| (|Point| *4)))) (|isDomain| *3 (|Boolean|)) (|ofCategory| *1 (|ThreeSpaceCategory| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|List| (|List| *5)))) (|isDomain| *3 (|List| (|SubSpaceComponentProperty|))) (|isDomain| *4 (|SubSpaceComponentProperty|)) (|ofCategory| *1 (|ThreeSpaceCategory| *5)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|List| (|Point| *5)))) (|isDomain| *3 (|List| (|SubSpaceComponentProperty|))) (|isDomain| *4 (|SubSpaceComponentProperty|)) (|ofCategory| *1 (|ThreeSpaceCategory| *5)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *6)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *7)) (|isDomain| *1 (|FactoringUtilities| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))))) 
(((*1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|IntegralBasisTools| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |cd| (|String|)) (|:| |name| (|String|)))) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *1)))) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Float|))) (|isDomain| *1 (|DrawOption|)))) ((*1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *2 *3 *4 *5) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Integer|)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *1 (|RecurrenceOperator| *6 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *6) (|AbelianMonoid|) (|RetractableTo| *2) (|RetractableTo| *4) (|PartialDifferentialRing| *4) (|CombinatorialOpsCategory|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Table| (|Symbol|) (|BasicStochasticDifferential|))) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))))) ((*1 *2) (|partial| AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|FunctionFieldCategory&| *3 *4 *2 *5)) (|ofCategory| *3 (|FunctionFieldCategory| *4 *2 *5)))) ((*1 *2) (|partial| AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *2 *4)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Stream| (|Stream| (|Polynomial| *5)))) (|isDomain| *1 (|WeierstrassPreparation| *5)) (|isDomain| *4 (|Stream| (|Polynomial| *5)))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|NonCommutativeOperatorDivision| *2 *3)) (|ofCategory| *2 (|MonogenicLinearOperator| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)) (|isDomain| *1 (|UTSodetools| *4 *3 *5 *2)) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| *3))))) 
(((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|String|)) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *4 (|NonNegativeInteger|)) (|OrderedVariableList| *3) (|DistributedMultivariatePolynomial| *3 (|Fraction| (|Integer|))))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|NonNegativeInteger|)) (|isDomain| *1 (|IdealDecompositionPackage| *3 *4))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|EuclideanDomain|)) (|isDomain| *1 (|PolynomialGcdPackage| *3 *4 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| *5 *3 *4)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *6)) (|ofCategory| *6 (|PolynomialCategory| *5 *3 *4)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|EuclideanDomain|)) (|isDomain| *1 (|PolynomialGcdPackage| *3 *4 *5 *6)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *1 (|PolynomialGcdPackage| *4 *5 *6 *2)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *2 (|Join| (|FieldOfPrimeCharacteristic|) (CATEGORY |package| (SIGNATURE |coerce| (*2 *4)) (SIGNATURE |lookup| ((|PositiveInteger|) *2)) (SIGNATURE |basis| ((|Vector| *2) (|PositiveInteger|))) (SIGNATURE |Frobenius| (*2 *2))))) (|isDomain| *1 (|FiniteFieldPolynomialPackage2| *2 *4))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *2 *3 *2) (AND (|isDomain| *1 (|MappingPackageInternalHacks2| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5 *6 *7 *7 *8) (AND (|isDomain| *3 (|Record| (|:| |det| *12) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|))))) (|isDomain| *4 (|Matrix| *12)) (|isDomain| *5 (|List| (|Fraction| (|Polynomial| *9)))) (|isDomain| *6 (|List| (|List| *12))) (|isDomain| *7 (|NonNegativeInteger|)) (|isDomain| *8 (|Integer|)) (|ofCategory| *9 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *12 (|PolynomialCategory| *9 *11 *10)) (|ofCategory| *10 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *11 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |eqzro| (|List| *12)) (|:| |neqzro| (|List| *12)) (|:| |wcond| (|List| (|Polynomial| *9))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *9)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *9))))))))) (|isDomain| *1 (|ParametricLinearEquations| *9 *10 *11 *12))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|Mapping| *6 (|List| *6)))) (|ofCategory| *5 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *6 (|UnivariateTaylorSeriesCategory| *5)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|DesingTree| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|InfClsPt| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|InfinitlyClosePoint| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|))))) 
(((*1 *1 *2 *2 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3 *4 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PrimitiveRatDE| *4 *2 *3 *5)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *2))))) ((*1 *2 *3 *4) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PrimitiveRatDE| *4 *2 *5 *3)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *2)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *1 (|RealZeroPackage| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *1 (|RealZeroPackage| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *4 (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))))) ((*1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *1 (|RealZeroPackage| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *4 (|Fraction| (|Integer|))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Fraction| (|Integer|))) (|isDomain| *2 (|List| (|Record| (|:| |left| *5) (|:| |right| *5)))) (|isDomain| *1 (|RealZeroPackage| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *4 (|Record| (|:| |left| *5) (|:| |right| *5))))) ((*1 *2 *3) (AND (|isDomain| *2 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *1 (|RealZeroPackageQ| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))))) ((*1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *1 (|RealZeroPackageQ| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|isDomain| *4 (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Fraction| (|Integer|))) (|isDomain| *2 (|List| (|Record| (|:| |left| *4) (|:| |right| *4)))) (|isDomain| *1 (|RealZeroPackageQ| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Fraction| (|Integer|))) (|isDomain| *2 (|List| (|Record| (|:| |left| *5) (|:| |right| *5)))) (|isDomain| *1 (|RealZeroPackageQ| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|isDomain| *4 (|Record| (|:| |left| *5) (|:| |right| *5)))))) 
(((*1 *2 *3 *4 *4 *5 *3 *6) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|List| *3)) (|isDomain| *6 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *7 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|GenusZeroIntegration| *7 *3 *8)) (|ofCategory| *8 (|SetCategory|)))) ((*1 *2 *3 *4 *4 *5 *4 *3 *6) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|List| *3)) (|isDomain| *6 (|Fraction| (|SparseUnivariatePolynomial| *3))) (|ofCategory| *3 (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *7 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|GenusZeroIntegration| *7 *3 *8)) (|ofCategory| *8 (|SetCategory|))))) 
(((*1 *2 *2 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomIntegerDistributions|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ExtAlgBasis|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|RightOpenIntervalRootCharacterization| (|RealClosure| *3) (|SparseUnivariatePolynomial| (|RealClosure| *3)))) (|isDomain| *1 (|RealClosure| *3)) (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|) (|RealConstant|)))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|BagAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SpecialOutputPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|OutputForm|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SpecialOutputPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|RealZeroPackage| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Fraction| (|Integer|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Equation| *3)) (|isDomain| *5 (|Fraction| (|Integer|))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *6 *3)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Mapping| *8 (|Fraction| (|Integer|)))) (|isDomain| *4 (|Equation| *8)) (|isDomain| *5 (|UniversalSegment| (|Fraction| (|Integer|)))) (|isDomain| *6 (|Fraction| (|Integer|))) (|ofCategory| *8 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *7))) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *7 *8)))) ((*1 *2 *3 *4 *5 *6 *7) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3)) (|isDomain| *6 (|UniversalSegment| (|Fraction| (|Integer|)))) (|isDomain| *7 (|Fraction| (|Integer|))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *8))) (|ofCategory| *8 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *8 *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *4 *3)) (|ofCategory| *3 (|UnivariateLaurentSeriesCategory| *4))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *2 *3 *2) (|partial| AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2 *4) (|partial| AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2 *4) (|partial| AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|GaloisGroupFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2 *4 *5) (|partial| AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|List| (|NonNegativeInteger|))) (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2 *4 *5 *6) (|partial| AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|List| (|NonNegativeInteger|))) (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Factored| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *5 *2)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| *4) (|:| |num| *4)))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|UserDefinedVariableOrdering|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|UserDefinedVariableOrdering|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldSquareFreeDecomposition| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Polynomial| *5)) (|isDomain| *1 (|PolToPol| *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 |RationalNumber|) (|isDomain| *2 (|Mapping| (|Integer|))) (|isDomain| *1 (|RandomIntegerDistributions|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|InfiniteTuple| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|isDomain| *1 (|ExponentialOfUnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Join| (|Field|) (|OrderedSet|))) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|ModuleMonomial| *3 *2 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofType| *4 (|Mapping| (|Boolean|) (|Record| (|:| |index| *3) (|:| |exponent| *2)) (|Record| (|:| |index| *3) (|:| |exponent| *2))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Mapping| *5 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|Record| (|:| |num| *1) (|:| |den| *5) (|:| |derivden| *5) (|:| |gd| *5))) (|ofCategory| *1 (|FunctionFieldCategory| *4 *5 *6))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *2 (|List| (|Segment| (|DoubleFloat|)))) (|isDomain| *1 (|PlotTools|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Factored| *2)) (|ofCategory| *2 (|EuclideanDomain|)) (|isDomain| *1 (|PartialFraction| *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|PartialFractionPackage| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Factored| (|Polynomial| *6))) (|isDomain| *5 (|Symbol|)) (|isDomain| *3 (|Polynomial| *6)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|PartialFractionPackage| *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Set| *3)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *9 (|PlacesCategory| *4 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *2 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *2 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| *5 *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| *5 *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Complex| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ApplicationProgramInterface|))))) 
(((*1 *2 *1) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|PatternMatchResult| *3 *4)) (|isDomain| *1 (|PatternMatchListResult| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *5 (|ListAggregate| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|RetractableTo| (|Integer|))) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $)))))))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Stream| (|Integer|))) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *4 *4 *3) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |ratpart| *3) (|:| |coeff| *3))) (|isDomain| *1 (|PureAlgebraicIntegration| *5 *3 *6)) (|ofCategory| *6 (|SetCategory|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |gcd| (|NewSparseUnivariatePolynomial| *3)) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)) (|:| |coef2| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |gcd| *1) (|:| |coef1| *1) (|:| |coef2| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|List| (|Float|)))) (|isDomain| *1 (|RealSolvePackage|)) (|isDomain| *5 (|Float|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|RegularChain| *4 *5)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *6 (|List| (|Symbol|))))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|)))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|GcdDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *2) (AND (|isDomain| *1 (|MappingPackage1| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 *4 *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Mapping| *5 *4)) (|isDomain| *1 (|MappingPackage2| *4 *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ElementaryFunction| *4 *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *4) (|RadicalCategory|)))))) 
(((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) *3)) (|isDomain| *1 (|BlowUpPackage| *5 *6 *7 *8 *4)) (|ofCategory| *7 (|FiniteAbelianMonoidRing| *5 *8)) (|ofCategory| *4 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Any|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OutputPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|MyUnivariatePolynomial| *4 *3)) (|ofType| *4 (|Symbol|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *1 (|PolynomialRing| *3 *2)) (|ofCategory| *2 (|CancellationAbelianMonoid|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|Partition|)) (|ofCategory| *2 (|CancellationAbelianMonoid|)) (|isDomain| *1 (|SymmetricPolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|UnivariatePolynomial| *4 *3)) (|ofType| *4 (|Symbol|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|List| (|Integer|)))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)) (|isDomain| *3 (|Integer|)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|isDomain| *1 (|IncrementingMaps| *3)) (|ofCategory| *3 (|Join| (|Monoid|) (|AbelianSemiGroup|)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PointsOfFiniteOrderTools| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Fraction| *3)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DirichletRing| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *3 *3 *4 *5) (AND (|isDomain| *5 (|Mapping| *3 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *6 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| *4))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Union| (|:| |ans| (|Record| (|:| |ans| *3) (|:| |nosol| (|Boolean|)))) (|:| |eq| (|Record| (|:| |b| *3) (|:| |c| *3) (|:| |m| *4) (|:| |alpha| *3) (|:| |beta| *3))))) (|isDomain| *1 (|TranscendentalRischDE| *6 *3))))) 
(((*1 *2 *2 *3) (|partial| AND (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *2 *3)) (|ofCategory| *2 (|Type|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|))))) (|isDomain| *1 (|RadicalEigenPackage|)) (|isDomain| *3 (|Expression| (|Integer|)))))) 
(((*1 *2 *3 *4 *4 *4 *3 *5 *3 *4 *6 *7) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp8| OUTPUT)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|GcdDomain|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|GcdDomain|))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|PrimitiveArray| (|U32Vector|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|U32Vector|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| *2))) (|ofCategory| *4 (|Field|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|OrdinaryDifferentialEquationsSolverCategory|)) (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Result|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|AlgebraicFunction| *3 *4)) (|ofCategory| *4 (|FunctionSpace| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *4)) (|ofCategory| *4 (|FunctionSpace| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|BasicOperator|)) (|isDomain| *1 (|CommonOperators|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *4)) (|ofCategory| *4 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *1 (|ExpressionSpace&| *3)) (|ofCategory| *3 (|ExpressionSpace|)))) ((*1 *2 *2) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|BasicOperator|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpace&| *3 *4)) (|ofCategory| *3 (|FunctionSpace| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *4)) (|ofCategory| *4 (|FunctionSpace| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *4)) (|ofCategory| *4 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Kernel| *1))) (|ofCategory| *1 (|ExpressionSpace|))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| *4))) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Record| (|:| |zeros| (|List| *4)) (|:| |extDegree| (|Integer|)))) (|isDomain| *1 (|RootsFindingPackage| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|ExponentialOfUnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Join| (|Field|) (|OrderedSet|))) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *3 *4)) (|ofCategory| *2 (|Type|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|IndexedAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2 *2) (|partial| AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Palette|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|RealClosedField|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Heap| *4)))) ((*1 *2 *3 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Queue| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OpenMathDevice|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *3 *1) (|partial| AND (|ofCategory| *1 (|KeyedDictionary| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Vector| (|Record| (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)) (|:| |points| (|Integer|)) (|:| |connect| (|Integer|)) (|:| |spline| (|Integer|)) (|:| |axes| (|Integer|)) (|:| |axesColor| (|Palette|)) (|:| |units| (|Integer|)) (|:| |unitsColor| (|Palette|)) (|:| |showing| (|Integer|))))) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AlgebraicFunction| *4 *5)) (|ofCategory| *5 (|FunctionSpace| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CombinatorialFunction| *4 *5)) (|ofCategory| *5 (|FunctionSpace| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ElementaryFunction| *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|RadicalCategory|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpressionSpace&| *4)) (|ofCategory| *4 (|ExpressionSpace|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FunctionSpace&| *4 *5)) (|ofCategory| *4 (|FunctionSpace| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *5)) (|ofCategory| *5 (|FunctionSpace| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LiouvillianFunction| *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *1) (|partial| AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Monoid|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *2 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|DifferentialVariableCategory| *4))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|FunctionSpaceToExponentialExpansion| *3 *2 *4 *5)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))) (|ofType| *4 (|Symbol|)) (|ofType| *5 *2))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3) (CATEGORY |domain| (SIGNATURE |coerce| ($ *4))))) (|ofCategory| *4 (|OrderedRing|)) (|ofCategory| *5 (|Join| (|UnivariatePowerSeriesCategory| *2 *4) (|Field|) (|TranscendentalFunctionCategory|) (CATEGORY |domain| (SIGNATURE |differentiate| ($ $)) (SIGNATURE |integrate| ($ $))))) (|isDomain| *1 (|FunctionSpaceToUnivariatePowerSeries| *3 *2 *4 *5 *6 *7)) (|ofCategory| *6 (|PartialTranscendentalFunctions| *5)) (|ofType| *7 (|Symbol|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Point| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|Record| (|:| |Smith| *3) (|:| |leftEqMat| *3) (|:| |rightEqMat| *3))) (|isDomain| *1 (|SmithNormalForm| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|ComplexCategory&| *3 *2)) (|ofCategory| *3 (|ComplexCategory| *2)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankAlgebra| *2 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|FramedAlgebra&| *3 *2 *4)) (|ofCategory| *3 (|FramedAlgebra| *2 *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedAlgebra| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2) (AND (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|NumberFieldIntegralBasis| *3 *4)) (|ofCategory| *4 (|FramedAlgebra| *2 *3)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|SegmentBinding| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|SegmentBinding| *1)) (|ofCategory| *1 (|CombinatorialOpsCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|CombinatorialOpsCategory|)) (|isDomain| *2 (|Symbol|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|GradedAlgebra| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|XPBWPolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|))))) 
(((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|RegularTriangularSet| *5 *6 *7 *8))) (|isDomain| *1 (|RegularTriangularSet| *5 *6 *7 *8)))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *5 *6 *7 *8))) (|isDomain| *1 (|SquareFreeRegularTriangularSet| *5 *6 *7 *8))))) 
(((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Matrix| *5))) (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Vector| (|Vector| *5))) (|isDomain| *1 (|RepresentationPackage2| *5)) (|isDomain| *4 (|Vector| *5))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *2 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *1 *1 *2 *1) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|UniversalSegment| (|Integer|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OrdinaryWeightedPolynomials| *4 *5 *6 *7)) (|ofCategory| *4 (|Ring|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| *3)) (|ofType| *7 *3))) ((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofType| *8 (|List| *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|WeightedPolynomials| *4 *5 *6 *7 *8 *9 *10)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofType| *9 (|List| *3)) (|ofType| *10 *3)))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|Bits|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|)) (|ofCategory| *1 (|FloatingPointSystem|)))) ((*1 *2) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *1 *3 *3) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateLaurentSeriesCategory| *3))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (|isDomain| *1 (|IntegrationFunctionsTable|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Partition|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|FunctionSpace| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))) (|isDomain| *1 (|FunctionSpaceUnivariatePolynomialFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Matrix| (|Fraction| *4)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3))))) 
(((*1 *2 *3 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|IndexedAggregate| *4 *3)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Set| (|Symbol|))) (|isDomain| *1 (|ApplicationProgramInterface|)) (|isDomain| *3 (|Symbol|))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *2)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|HomogeneousDistributedMultivariatePolynomial| *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *5)) (|isDomain| *1 (|PolToPol| *4 *5))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|StackAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OpenMathDevice|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *4 *2)))) ((*1 *2 *3 *2 *4) (AND (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| (|Expression| *5)))) (|isDomain| *3 (|Vector| (|Expression| *5))) (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *1 (|TransSolvePackageService| *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) (|isDomain| *1 (|ODEIntensityFunctionsTable|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *1 (|IntegerFactorizationPackage| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *1 *1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|HeuGcd| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|GcdDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|FiniteDivisor| *3 *4 *5 *6)) (|ofCategory| *6 (|FunctionFieldCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *2)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Result|))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Fraction| (|Polynomial| *4))))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Fraction| (|Polynomial| *4)))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|String|)) (|isDomain| *1 (|QueryEquation|)))) ((*1 *2 *3 *1) (|partial| AND (|isDomain| *2 (|Equation| (|StochasticDifferential| *3))) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *1 *3) (|partial| AND (|isDomain| *2 (|Equation| (|StochasticDifferential| *3))) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Segment| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|SegmentBinding| *4))))) 
(((*1 *2 *3 *4 *5) (AND (|ofCategory| *6 (|UnivariatePolynomialCategory| *9)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *9 (|EuclideanDomain|)) (|ofCategory| *10 (|PolynomialCategory| *9 *7 *8)) (|isDomain| *2 (|Record| (|:| |deter| (|List| (|SparseUnivariatePolynomial| *10))) (|:| |dterm| (|List| (|List| (|Record| (|:| |expt| (|NonNegativeInteger|)) (|:| |pcoef| *10))))) (|:| |nfacts| (|List| *6)) (|:| |nlead| (|List| *10)))) (|isDomain| *1 (|NPCoef| *6 *7 *8 *9 *10)) (|isDomain| *3 (|SparseUnivariatePolynomial| *10)) (|isDomain| *4 (|List| *6)) (|isDomain| *5 (|List| *10))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *3 *2 *4 *5)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *3 *4)))) ((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *4 *2 *5 *6 *3)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5)) (|ofCategory| *3 (|ProjectiveSpaceCategory| *4)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *5 *2 *6 *7 *3)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *5 *6)) (|ofCategory| *3 (|ProjectiveSpaceCategory| *5))))) 
(((*1 *2 *3 *4 *5 *5 *6) (AND (|isDomain| *5 (|Kernel| *4)) (|isDomain| *6 (|Symbol|)) (|ofCategory| *4 (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *7 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|PureAlgebraicIntegration| *7 *4 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *5 (|List| (|List| (|Union| (|:| |array| *6) (|:| |scalar| *3))))) (|isDomain| *4 (|List| (|Union| (|:| |array| (|List| *3)) (|:| |scalar| (|Symbol|))))) (|isDomain| *6 (|List| (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|FortranPackage|)))) ((*1 *2 *3 *4 *5 *6 *3) (AND (|isDomain| *5 (|List| (|List| (|Union| (|:| |array| *6) (|:| |scalar| *3))))) (|isDomain| *4 (|List| (|Union| (|:| |array| (|List| *3)) (|:| |scalar| (|Symbol|))))) (|isDomain| *6 (|List| (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|FortranPackage|)))) ((*1 *2 *3 *4 *5 *4) (AND (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|TheSymbolTable|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|FortranPackage|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FunctionFieldCategory&| *3 *4 *5 *6)) (|ofCategory| *3 (|FunctionFieldCategory| *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NumericalIntegrationProblem|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|)))) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalIntegrationProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|)))) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4) (AND (|ofCategory| *1 (|NumericalIntegrationCategory|)) (|isDomain| *3 (|RoutinesTable|)) (|isDomain| *4 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)) (|:| |extra| (|Result|)))))) ((*1 *2 *3 *4) (AND (|ofCategory| *1 (|NumericalIntegrationCategory|)) (|isDomain| *3 (|RoutinesTable|)) (|isDomain| *4 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)) (|:| |extra| (|Result|)))))) ((*1 *2 *3 *4) (AND (|ofCategory| *1 (|OrdinaryDifferentialEquationsSolverCategory|)) (|isDomain| *3 (|RoutinesTable|)) (|isDomain| *4 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalODEProblem|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalODEProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) (|isDomain| *1 (|AnnaOrdinaryDifferentialEquationPackage|)))) ((*1 *2 *3 *4) (AND (|ofCategory| *1 (|NumericalOptimizationCategory|)) (|isDomain| *3 (|RoutinesTable|)) (|isDomain| *4 (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)))))) ((*1 *2 *3 *4) (AND (|ofCategory| *1 (|NumericalOptimizationCategory|)) (|isDomain| *3 (|RoutinesTable|)) (|isDomain| *4 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalOptimizationProblem|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalOptimizationProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4) (AND (|ofCategory| *1 (|PartialDifferentialEquationsSolverCategory|)) (|isDomain| *3 (|RoutinesTable|)) (|isDomain| *4 (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalPDEProblem|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) (|isDomain| *1 (|AnnaPartialDifferentialEquationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalPDEProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) (|isDomain| *1 (|AnnaPartialDifferentialEquationPackage|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $))))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *4 *3 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Fraction| (|Polynomial| *5)) *4 *3)))) ((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|isDomain| *1 (|PushVariables| *4 *5 *3 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|PushVariables| *4 *5 *6 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *6))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *4 (|Permutation| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|IrrRepSymNatPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|List| (|Matrix| (|Integer|)))) (|isDomain| *1 (|IrrRepSymNatPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *4 (|List| (|Permutation| (|Integer|)))) (|isDomain| *2 (|List| (|Matrix| (|Integer|)))) (|isDomain| *1 (|IrrRepSymNatPackage|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Color|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Vector| (|List| *6))) (|isDomain| *1 (|GenExEuclid| *4 *6)) (|isDomain| *5 (|List| *6))))) 
(((*1 *2 *3 *4 *4 *2 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|Record| (|:| |lcmfij| *6) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *4) (|:| |polj| *4))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|PolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *5 *6 *7 *4))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|TangentExpansions| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *1 (|FiniteLinearAggregate| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *4)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *3 *3 *3 *3) (AND (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSolveByFormulas| *4 *3)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *2 *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| (|Complex| *4)) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *7)) (|:| |badPols| (|List| *7)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (|ofCategory| *1 (|HyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|AssociationList| (|String|) (|None|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|SplittingNode| *4 *5)) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingTree| *4 *5))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|ConvertibleTo| (|Pattern| *3))) (|ofCategory| *3 (|PatternMatchable| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|ConvertibleTo| (|Pattern| *3))) (|ofCategory| *2 (|PatternMatchable| *3)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *5 (|List| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|ODETools| *4 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |resultant| *3) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (|ofCategory| *1 (|ElementaryFunctionCategory|))) ((*1 *2 *3) (AND (|isDomain| *3 (|Factored| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| *4)))) (|isDomain| *1 (|FactoredFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|LiePolynomial| *3 *4)) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *5 (|PositiveInteger|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|Ring|) (|Module| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|XExponentialPackage| *4 *5 *2)) (|ofCategory| *2 (|XPolynomialsCat| *5 *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|XPBWPolynomial| *3 *4)) (|ofCategory| *4 (|Module| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *3 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |normal| (|Factored| *3)) (|:| |special| (|Factored| *3)))) (|isDomain| *1 (|MonomialExtensionTools| *5 *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|PolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |particular| (|Union| (|Vector| (|Fraction| *8)) "failed")) (|:| |basis| (|List| (|Vector| (|Fraction| *8)))))) (|isDomain| *1 (|LinearSystemPolynomialPackage| *5 *6 *7 *8))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|Product| *2 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| (|Union| (|:| |name| (|Symbol|)) (|:| |bounds| (|List| (|Union| (|:| S (|Symbol|)) (|:| P (|Polynomial| (|Integer|)))))))))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|MonadWithUnit|)))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *2) (AND (|isDomain| *1 (|FourierComponent| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|TrigonometricFunctionCategory|)))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PrintPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| *6)) (|ofCategory| *5 (|UniqueFactorizationDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *3) (|:| |radicand| *6))) (|isDomain| *1 (|ChangeOfVariable| *5 *6 *7)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|TangentExpansions| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3))))) 
(((*1 *2 *3 *4 *4 *3 *5 *3 *3 *3 *6) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp4| FUNCTN)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|List| *8))) (|isDomain| *3 (|List| *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *5 *6 *7 *8))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|IntegrationTools| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| *4)))) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4)))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1) (|ofCategory| *1 (|RadicalCategory|))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealClosedField|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *7 *3)) (|ofType| *7 *3) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|PackageForPoly| *4 *5 *6 *7)) (|ofCategory| *5 (|FiniteAbelianMonoidRing| *4 *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|MonogenicLinearOperator| *3)) (|isDomain| *1 (|OppositeMonogenicLinearOperator| *2 *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ArrayStack| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (|isDomain| *1 (|IntegrationFunctionsTable|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|ofCategory| *1 (|DirectProductCategory| *3 *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|Type|)))) ((*1 *1 *2) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *2) (|:| |exponent| *5)) (|Record| (|:| |index| *2) (|:| |exponent| *5)))) (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *2 *5 *6 *7)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 (|OrderedVariableList| *3))))) ((*1 *2 *2) (AND (|isDomain| *2 (|Point| (|DoubleFloat|))) (|isDomain| *1 (|TubePlotTools|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *2 *4) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *5 *2)) (|ofCategory| *2 (|FunctionSpace| *5)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *5 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *5 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *5 (|Kernel| $)))))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|List| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|ElementaryIntegration| *6 *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *2 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DivisorCategory| *10)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *2 *11 *3 *12)) (|ofCategory| *3 (|DesingTreeCategory| *11))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| *3)))) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1) (|isDomain| *1 (|Color|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|List| *6))))) 
(((*1 *1 *2 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |sub| (|List| (|OutputForm|))) (|:| |sup| (|List| (|OutputForm|))) (|:| |presup| (|List| (|OutputForm|))) (|:| |presub| (|List| (|OutputForm|))) (|:| |args| (|List| (|OutputForm|))))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|RealClosedField|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SExpression|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AxiomServer|))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|PrincipalIdealDomain|)) (|isDomain| *2 (|Record| (|:| |coef| (|List| *1)) (|:| |generator| *1))) (|isDomain| *3 (|List| *1))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3) (AND (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *6 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|BezoutMatrix| *2 *3 *4 *5 *6)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|MatrixCategory| *2 *5 *6))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|FlexibleArray| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IndexedFlexibleArray| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofType| *4 *2)))) 
(((*1 *2) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|)))))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|List| (|Equation| *4))) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *5 (|PositiveInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|List| *4))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *2 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *5 (|RecursivePolynomialCategory| *3 *4 *2))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|RootsFindingPackage| *3))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|String|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerPackage| *4 *5 *6 *2)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Automorphism| *6)) (|isDomain| *5 (|Mapping| *6 *6)) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|Record| (|:| R (|Matrix| *6)) (|:| A (|Matrix| *6)) (|:| |Ainv| (|Matrix| *6)))) (|isDomain| *1 (|PseudoLinearNormalForm| *6)) (|isDomain| *3 (|Matrix| *6))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *1 *1) (|partial| AND (|isDomain| *1 (|CliffordAlgebra| *2 *3 *4)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|QuadraticForm| *2 *3)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *2 *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *3 *3 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *3 "failed") *3 *3 *4)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1) (|partial| AND (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|MonadWithUnit|))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|Monoid|))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *3))) (|isDomain| *1 (|NormalizationPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))) ((*1 *2 *2 *1) (|partial| AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2) (|partial| AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *4 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *3 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *9 (|PlacesCategory| *5 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DesingTreeCategory| *11)) (|isDomain| *1 (|DesingTreePackage| *5 *6 *4 *7 *3 *8 *9 *10 *11 *2 *12)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *5 *6 *4 *7 *3 *8 *9 *10 *12))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Factored| *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *5 *6))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|isDomain| *2 (|List| (|Vector| *5))) (|isDomain| *1 (|InterpolateFormsPackage| *5 *6 *7 *8 *9 *10 *11 *3)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *3 (|DivisorCategory| *11))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1 *1 *3) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |lcmfij| *5) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *7) (|:| |polj| *7))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Any|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternFunctions1| *4 *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *8)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| *8) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| *8))))) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8)) (|isDomain| *4 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4 *3 *3 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|List| (|Integer|)))) (|isDomain| *1 (|Partition|)) (|isDomain| *3 (|List| (|Integer|)))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|PolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *1)))) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))) ((*1 *1 *1) (|ofCategory| *1 (|UniqueFactorizationDomain|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|UnivariatePolynomialSquareFree| *3 *2)) (|ofCategory| *2 (|Join| (|UnivariatePolynomialCategory| *3) (|IntegralDomain|) (CATEGORY |domain| (SIGNATURE |gcd| ($ $ $)))))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *5 *4)) (|ofCategory| *5 (|Type|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 |SortedExponentVector|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|ExpressionSpace|)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Kernel| *1))) (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Equation| *1))) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Equation| *1)) (|ofCategory| *1 (|ExpressionSpace|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2 *1 *1 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *5 *5)) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *4 *5)) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|DisplayPackage|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|String|)) (|isDomain| *1 (|DisplayPackage|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AlgebraicFunctionField| *4 *5 *6 *7)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|ofType| *7 *6)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|PermutationCategory| *3))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerBits|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| *2)) (|isDomain| *4 (|Mapping| *2 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|MonomialExtensionTools| *5 *2)) (|ofCategory| *5 (|Field|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|OpenMathPackage|)) (|isDomain| *3 (|String|))))) 
(((*1 *2 *2 *3 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|)))))) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GenExEuclid| *3 *5))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *1 (|RecurrenceOperator| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|AbelianMonoid|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Symbol|)) (|PartialDifferentialRing| (|Symbol|)) (|CombinatorialOpsCategory|)))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Segment| *3)) (|ofCategory| *3 (|PolynomialCategory| *7 *6 *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *7 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| (|Integer|)))) (|isDomain| *1 (|InnerPolySum| *6 *4 *7 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| (|Integer|)))) (|isDomain| *1 (|InnerPolySum| *5 *4 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *6 *5 *4)))) ((*1 *1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|FunctionSpaceSum| *4 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|CombinatorialOpsCategory|) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|SegmentBinding| *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|CombinatorialOpsCategory|) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|FunctionSpaceSum| *4 *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Fraction| (|Polynomial| *5))) (|isDomain| *1 (|RationalFunctionSum| *5)) (|isDomain| *3 (|Polynomial| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Union| (|Fraction| (|Polynomial| *5)) (|Expression| *5))) (|isDomain| *1 (|RationalFunctionSum| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|SegmentBinding| (|Polynomial| *5))) (|isDomain| *3 (|Polynomial| *5)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Fraction| *3)) (|isDomain| *1 (|RationalFunctionSum| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|SegmentBinding| (|Fraction| (|Polynomial| *5)))) (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Union| *3 (|Expression| *5))) (|isDomain| *1 (|RationalFunctionSum| *5))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Complex| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Complex| *4))) (|isDomain| *1 (|NumericComplexEigenPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|FiniteDivisor| *5 *6 *7 *8)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|ofCategory| *8 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PointsOfFiniteOrder| *4 *5 *6 *7 *8)))) ((*1 *2 *3) (AND (|isDomain| *3 (|FiniteDivisor| (|Fraction| (|Integer|)) *4 *5 *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| (|Fraction| (|Integer|)) *4 *5)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PointsOfFiniteOrderRational| *4 *5 *6))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|Heap| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FileCategory| *2 *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FunctionCalled| *3)) (|ofType| *3 *2))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RuleCalled| *3)) (|ofType| *3 *2))) ((*1 *1 *1) (|isDomain| *1 (|Symbol|)))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|OrderedCompletion| (|Integer|))) (|isDomain| *1 (|Infinity|)))) ((*1 *1) (AND (|isDomain| *1 (|OrderedCompletion| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *13)) (|ofCategory| *13 (|DesingTreeCategory| *12)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) *2)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *3 *6) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp35| FCN)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagRootFindingPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerBits|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $))))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *4 *3 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Fraction| (|Polynomial| *5)) *4 *3)))) ((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|isDomain| *1 (|PushVariables| *4 *5 *3 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|PushVariables| *4 *5 *6 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *6))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) *4)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|ofCategory| *3 (|DivisorCategory| *11)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *5 *6 *7 *8 *9 *10 *11 *3 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *7)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *5 *6 *7 *8 *9 *10 *11 *3 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2 *3 *4 *5 *2) (AND (|isDomain| *2 (|List| *5)) (|ofCategory| *5 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) *4)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *6 (|Field|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *6)) (|ofCategory| *11 (|PlacesCategory| *6 *10)) (|isDomain| *1 (|InterpolateFormsPackage| *6 *7 *5 *8 *9 *10 *11 *3)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *3 (|DivisorCategory| *11)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Divisor| (|Places| *5))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|DistributedMultivariatePolynomial| *6 *5))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *5))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| (|DistributedMultivariatePolynomial| *6 *5))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Vector| *3)) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *1 *2 *2 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|)))) ((*1 *2 *1 *3 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *5)) (|ofCategory| *5 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|GcdDomain|))) (|isDomain| *2 (|OrderedCompletion| *4)) (|isDomain| *1 (|ExponentialExpansion| *3 *4 *5 *6)) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4))) ((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|GcdDomain|))) (|isDomain| *2 (|OrderedCompletion| *4)) (|isDomain| *1 (|UnivariatePuiseuxSeriesWithExponentialSingularity| *3 *4 *5 *6)) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1) (|ofCategory| *1 (|HyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *9)) (|isDomain| *4 (|List| *7)) (|isDomain| *5 (|List| (|List| *8))) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|EuclideanDomain|)) (|ofCategory| *9 (|PolynomialCategory| *8 *6 *7)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |upol| (|SparseUnivariatePolynomial| *8)) (|:| |Lval| (|List| *8)) (|:| |Lfact| (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| *8)) (|:| |exponent| (|Integer|))))) (|:| |ctpol| *8))) (|isDomain| *1 (|MultivariateSquareFree| *6 *7 *8 *9))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|RetractableTo| (|Integer|))) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|AlgebraicFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|ComplexCategory&| *3 *4)) (|ofCategory| *3 (|ComplexCategory| *4)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|Ring|)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3)))) ((*1 *2) (AND (|ofCategory| *1 (|MonogenicAlgebra| *3 *2)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *2 *3 *3 *4 *5) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *3 (|List| (|Palette|))) (|isDomain| *4 (|List| (|PositiveInteger|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *2 *3 *3 *4) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *3 (|List| (|Palette|))) (|isDomain| *4 (|List| (|PositiveInteger|))) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *1) (|isDomain| *1 (|GraphImage|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Join| (|Ring|) (|PatternMatchable| *4) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *4)))) (|isDomain| *1 (|RewriteRule| *4 *5 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4) (|ConvertibleTo| (|Pattern| *4)))))) ((*1 *1 *2 *2) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *1 (|RewriteRule| *3 *4 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3))))))) 
(((*1 *2) (AND (|isDomain| *2 (|Record| (|:| |low| (|List| *3)) (|:| |high| (|List| *3)))) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|InnerNumericEigenPackage| *5 *6 *4)) (|ofCategory| *6 (|Field|)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|RetractableTo| (|Integer|))) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $)))))))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|BasicType|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Fraction| (|Integer|))))) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |resultant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *2 (|List| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|ContinuedFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (|ofCategory| *1 (|PAdicIntegerCategory| *2))) ((*1 *1 *1) (AND (|ofCategory| *1 (|PowerSeriesCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |discriminant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *4 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|ofCategory| *3 (|DivisorCategory| *11)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *5 *6 *7 *8 *9 *10 *11 *3 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Record| (|:| |ord| (|Integer|)) (|:| |num| *7) (|:| |den| *7) (|:| |upTo| (|Integer|)))) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *5 *6 *7 *8 *9 *10 *11 *3 *12 *13 *14)) (|isDomain| *4 (|Integer|)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Divisor| (|Places| *5))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |ord| (|Integer|)) (|:| |num| (|DistributedMultivariatePolynomial| *6 *5)) (|:| |den| (|DistributedMultivariatePolynomial| *6 *5)) (|:| |upTo| (|Integer|)))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *5 *6 *7)) (|isDomain| *4 (|Integer|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *5))) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|Record| (|:| |ord| (|Integer|)) (|:| |num| (|DistributedMultivariatePolynomial| *6 *5)) (|:| |den| (|DistributedMultivariatePolynomial| *6 *5)) (|:| |upTo| (|Integer|)))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|isDomain| *4 (|Integer|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *7)) (|isDomain| *3 (|Integer|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *1 (|FactoringUtilities| *4 *5 *6 *7))))) 
(((*1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *1))) (|isDomain| *1 (|Expression| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|PolynomialFactorizationExplicit|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *1))) (|isDomain| *3 (|SparseUnivariatePolynomial| *1))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|List| *4)))) (|isDomain| *2 (|List| (|List| *4))) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|TableauxBumpers| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|List| (|Matrix| (|Integer|)))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *2 (|Record| (|:| |part1| *3) (|:| |part2| *4))) (|isDomain| *1 (|MakeRecord| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|Type|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|PermutationCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *4))) (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|isDomain| *1 (|LinearPolynomialEquationByFractions| *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|List| (|List| *3))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|List| (|List| *5))))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| *3))) (|isDomain| *1 (|Tableau| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Union| (|BasicStochasticDifferential|) (|Integer|))) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|AffineSpaceCategory| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|Algebra| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|Field|)) (|ofType| *6 (|Vector| (|Matrix| *3))) (|isDomain| *1 (|AlgebraGivenByStructuralConstants| *3 *4 *5 *6)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| (|AlgebraicNumber|)))) (|isDomain| *1 (|AlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Any|)) (|isDomain| *1 (|AnyFunctions1| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) (|isDomain| *1 (|Asp1| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) (|isDomain| *1 (|Asp10| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) (|isDomain| *1 (|Asp19| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|FortranExpression| (|construct|) (|construct| (QUOTE X) (QUOTE HESS)) (|MachineFloat|)))) (|isDomain| *1 (|Asp20| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) (|isDomain| *1 (|Asp24| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) (|isDomain| *1 (|Asp31| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) (|isDomain| *1 (|Asp35| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) (|isDomain| *1 (|Asp4| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE EPS)) (|construct| (QUOTE Y)) (|MachineFloat|)))) (|isDomain| *1 (|Asp41| *3 *4 *5)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) (|isDomain| *1 (|Asp42| *3 *4 *5)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) (|isDomain| *1 (|Asp49| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) (|isDomain| *1 (|Asp50| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) (|isDomain| *1 (|Asp55| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) (|isDomain| *1 (|Asp6| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) (|isDomain| *1 (|Asp7| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) (|isDomain| *1 (|Asp73| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) (|isDomain| *1 (|Asp74| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) (|isDomain| *1 (|Asp77| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) (|isDomain| *1 (|Asp78| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) (|isDomain| *1 (|Asp80| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) (|isDomain| *1 (|Asp9| *3)) (|ofType| *3 (|Symbol|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|RadixExpansion| 2)) (|isDomain| *1 (|BinaryExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|BinaryExpansion|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|ofCategory| *1 (|BlowUpMethodCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|CartesianTensor| *3 *4 *5))) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *5)) (|ofCategory| *5 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SquareMatrix| *4 *5)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|DirectProduct| *4 *5)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Matrix| *4))) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| (|Fraction| (|Polynomial| *4))))) (|isDomain| *1 (|CoerceVectorMatrixPackage| *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ (|Symbol|))) (SIGNATURE |display| ((|Void|) $)) (SIGNATURE |fullDisplay| ((|Void|) $))))) (|isDomain| *1 (|Database| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|RadixExpansion| 10)) (|isDomain| *1 (|DecimalExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DecimalExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|DirichletRing| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|DirichletRing| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 (|PositiveInteger|))) (|isDomain| *1 (|DirichletRing| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 (|PositiveInteger|))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|DirichletRing| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|DataList| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|DataList| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SegmentBinding| (|Expression| *4))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|Float|)))) (|isDomain| *2 (|SegmentBinding| (|Float|))) (|isDomain| *1 (|DrawNumericHack| *4)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|ExtAlgBasis|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|EuclideanModularRing| *3 *2 *4 *5 *6 *7)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *2 *2 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *2 "failed") *2 *2 *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePuiseuxSeries| *4 *5 *6)) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4) (|ofCategory| *3 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|GcdDomain|))) (|isDomain| *1 (|ExponentialExpansion| *3 *4 *5 *6)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|FortranCode|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Expression| *5)) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *2 (|FiniteAlgebraicExtensionField| *4)) (|isDomain| *1 (|FiniteFieldHomomorphisms| *3 *4 *2)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *2 (|FiniteAlgebraicExtensionField| *4)) (|isDomain| *1 (|FiniteFieldHomomorphisms| *2 *4 *3)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|XRecursivePolynomial| *3 *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|XDistributedPolynomial| *3 *4)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|FreeLieAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|CommutativeRing|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) (|ofCategory| *1 (|FortranMatrixCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranCode|)) (|ofCategory| *1 (|FortranMatrixCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|ofCategory| *1 (|FortranMatrixCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| (|MachineFloat|))) (|ofCategory| *1 (|FortranMatrixCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranCode|)) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|ofCategory| *1 (|FortranMatrixFunctionCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|ofCategory| *1 (|FileNameCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|ScriptFormulaFormat|)) (|isDomain| *1 (|ScriptFormulaFormat1| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranCode|)) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|ofCategory| *1 (|FortranFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Equation| (|Expression| (|Complex| (|Float|))))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Equation| (|Expression| (|Float|)))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Equation| (|Expression| (|Integer|)))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Complex| (|Float|)))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Equation| (|Expression| (|MachineComplex|)))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Equation| (|Expression| (|MachineFloat|)))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Equation| (|Expression| (|MachineInteger|)))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|MachineComplex|))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|MachineFloat|))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Expression| (|MachineInteger|))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranProgram| *3 *4 *5 *6)) (|ofType| *3 (|Symbol|)) (|ofType| *4 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|SymbolTable|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Polynomial| (|Fraction| *3)))) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| (|Fraction| *3))) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| *3 (|Kernel| *1))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FourierComponent| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|AbelianGroup|))) (|isDomain| *1 (|FourierSeries| *3 *4)) (|ofCategory| *3 (|Join| (|CommutativeRing|) (|Algebra| (|Fraction| (|Integer|))))))) ((*1 *1 *2) (AND (|isDomain| *1 (|FourierSeries| *2 *3)) (|ofCategory| *2 (|Join| (|CommutativeRing|) (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|Join| (|OrderedSet|) (|AbelianGroup|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranScalarType|)) (|isDomain| *1 (|FortranType|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|FortranType|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) (|ofCategory| *1 (|FortranVectorCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranCode|)) (|ofCategory| *1 (|FortranVectorCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|ofCategory| *1 (|FortranVectorCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|MachineFloat|))) (|ofCategory| *1 (|FortranVectorCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FortranCode|)) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|ofCategory| *1 (|FortranVectorFunctionCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| (|Fraction| (|Polynomial| *3)))) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *6 (|Vector| (|Matrix| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3) (|isDomain| *1 (|GeneralUnivariatePowerSeries| *3 *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|GeneralUnivariatePowerSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|RadixExpansion| 16)) (|isDomain| *1 (|HexadecimalExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|HexadecimalExpansion|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|HTMLFormat|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| (|InnerAlgebraicNumber|)))) (|isDomain| *1 (|InnerAlgebraicNumber|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|IndexCard|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *1 (|AssociatedJordanAlgebra| *3 *2)) (|ofCategory| *2 (|NonAssociativeAlgebra| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|CoercibleTo| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|LeftAlgebra| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|XPBWPolynomial| *3 *4)) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *5 (|PositiveInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4)) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *5 (|PositiveInteger|)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *1 (|AssociatedLieAlgebra| *3 *2)) (|ofCategory| *2 (|NonAssociativeAlgebra| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *3)))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *3)))) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Magma| *3)) (|isDomain| *1 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|isDomain| *1 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| *3)))) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| *3)))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|isDomain| *1 (|Magma| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| *3)) (|isDomain| *1 (|MappingPackage1| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *2 (|FiniteLinearAggregate| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|MachineComplex|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Complex| (|MachineInteger|))) (|isDomain| *1 (|MachineComplex|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Complex| (|MachineFloat|))) (|isDomain| *1 (|MachineComplex|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Complex| (|Integer|))) (|isDomain| *1 (|MachineComplex|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Complex| (|Float|))) (|isDomain| *1 (|MachineComplex|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|MachineInteger|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|Integer|))) (|isDomain| *2 (|Expression| (|MachineInteger|))) (|isDomain| *1 (|MachineInteger|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|MakeCachableSet| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|MathMLFormat|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|ModularField| *2 *3 *4 *5 *6)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |index| *3) (|:| |exponent| *4))) (|isDomain| *1 (|ModuleMonomial| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|SetCategory|)) (|ofType| *5 (|Mapping| (|Boolean|) *2 *2)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |index| *3) (|:| |exponent| *4))) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|ModuleMonomial| *3 *4 *5)) (|ofType| *5 (|Mapping| (|Boolean|) *2 *2)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |coef| *3) (|:| |monom| *4)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|)) (|isDomain| *1 (|MonoidRing| *3 *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|MyUnivariatePolynomial| *3 *4))) (|ofType| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|MyExpression| *3 *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|MyUnivariatePolynomial| *3 *4)) (|ofType| *3 (|Symbol|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *3)) (|ofType| *3 (|Symbol|)) (|isDomain| *1 (|MyUnivariatePolynomial| *3 *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|MyUnivariatePolynomial| *3 *2)) (|ofType| *3 (|Symbol|)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|NonAssociativeRing|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|:| |nia| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |mdnia| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))))) (|isDomain| *1 (|NumericalIntegrationProblem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *1 (|NumericalIntegrationProblem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *1 (|NumericalIntegrationProblem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|NumericalIntegrationProblem|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|None|)) (|isDomain| *1 (|NoneFunctions1| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *1 (|NumericalODEProblem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|NumericalODEProblem|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|PartialDifferentialRing| *3)) (|isDomain| *1 (|OrdinaryDifferentialRing| *3 *2 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofType| *4 *3))) ((*1 *1 *2) (AND (|ofCategory| *3 (|SetCategory|)) (|ofType| *4 *3) (|isDomain| *1 (|OrdinaryDifferentialRing| *3 *2 *4)) (|ofCategory| *2 (|PartialDifferentialRing| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OpenMathErrorKind|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|:| |noa| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|:| |lsa| (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))))) (|isDomain| *1 (|NumericalOptimizationProblem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) (|isDomain| *1 (|NumericalOptimizationProblem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|isDomain| *1 (|NumericalOptimizationProblem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|NumericalOptimizationProblem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *3)) (|ofType| *3 (|Symbol|)) (|isDomain| *1 (|UnivariateSkewPolynomial| *3 *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofType| *5 (|Automorphism| *4)) (|ofType| *6 (|Mapping| *4 *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OrdSetInts|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|OrdinaryWeightedPolynomials| *3 *4 *5 *6)) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|List| (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Polynomial| *3)) (|isDomain| *1 (|OrdinaryWeightedPolynomials| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|List| (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| (|AlgebraicNumber|))) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PolynomialAN2Expression|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|AlgebraicNumber|)))) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PolynomialAN2Expression|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) (|isDomain| *1 (|NumericalPDEProblem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|NumericalPDEProblem|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Tree| *3)) (|isDomain| *1 (|PendantTree| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|PermutationGroup| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Factored| *3))) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|PartialFraction| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| *3)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Pi|)) (|isDomain| *2 (|Expression| *4)) (|isDomain| *1 (|PiCoercions| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|Partition|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ResolveLatticeCompletion| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Exit|)) (|isDomain| *1 (|ResolveLatticeCompletion| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|ResidueRing| *3 *4 *5 *2 *6)) (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5)) (|ofType| *6 (|List| *2)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|RetractableTo| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|RationalFunction| *3)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|RectangularMatrix| *3 *4 *5)) (|ofType| *3 (|NonNegativeInteger|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *3 *4 *2)) (|ofCategory| *2 (|PolynomialCategory| *3 (|IndexedExponents| *4) *4)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *3 *2 *4)) (|ofCategory| *4 (|PolynomialCategory| *3 (|IndexedExponents| *2) *2)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|OutputForm|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|SquareMatrix| *3 *4)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Character|)) (|ofCategory| *1 (|StringAggregate|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePolynomial| *4 *3)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3) (|isDomain| *1 (|SparseUnivariateTaylorSeries| *3 *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Switch|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|Symbol|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Table| (|Symbol|) (|FortranType|))) (|isDomain| *1 (|SymbolTable|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Tableau| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|TexFormat|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|TexFormat|)) (|isDomain| *1 (|TexFormat1| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|TaylorSeries| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|TaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|PrimitiveArray| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Tuple| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| (QUOTE |x|))) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePolynomial| (QUOTE |x|) *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Segment| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|UniversalSegment| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *3)) (|ofType| *3 (|Symbol|)) (|isDomain| *1 (|UnivariatePolynomial| *3 *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePolynomial| *4 *3)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePolynomial| *4 *3)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Variable| *3)) (|ofType| *3 *2))) ((*1 *2 *3) (AND (|isDomain| *3 (|GraphImage|)) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|ViewportPackage|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Void|)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofType| *6 (|List| *4)) (|isDomain| *1 (|WeightedPolynomials| *3 *4 *5 *2 *6 *7 *8)) (|ofCategory| *2 (|PolynomialCategory| *3 *5 *4)) (|ofType| *7 (|List| (|NonNegativeInteger|))) (|ofType| *8 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|PolynomialCategory| *3 *5 *4)) (|isDomain| *1 (|WeightedPolynomials| *3 *4 *5 *2 *6 *7 *8)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofType| *6 (|List| *4)) (|ofType| *7 (|List| (|NonNegativeInteger|))) (|ofType| *8 (|NonNegativeInteger|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|XAlgebra| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|XRecursivePolynomial| *3 *4)) (|isDomain| *1 (|XPBWPolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4)) (|isDomain| *1 (|XPBWPolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|LiePolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *1 (|XPBWPolynomial| *3 *4)))) ((*1 *1 *2) (AND (|isDomain| *1 (|XPolynomialRing| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedMonoid|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stream| *4))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *2 (|Record| (|:| |k| (|Integer|)) (|:| |c| *4))) (|isDomain| *1 (|NeitherSparseOrDensePowerSeries| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|CommonDenominator| *2 *4 *3)) (|ofCategory| *3 (|FiniteLinearAggregate| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|InnerCommonDenominator| *2 *4 *5 *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *3 (|FiniteLinearAggregate| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *4)) (|ofCategory| *4 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|MatrixCommonDenominator| *2 *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|UnivariatePolynomialCommonDenominator| *2 *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| (|Expression| *3)))) (|ofCategory| *3 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *1 (|TransSolvePackageService| *3))))) 
(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|))) ((*1 *1 *1 *2 *2) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SetOfMIntegersInOneToN| *4 *5)) (|ofType| *4 *3) (|ofType| *5 *3)))) 
(((*1 *2 *1) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternMatchListResult| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *5 (|ListAggregate| *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternMatchResult| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *2 *3 *3) (|partial| AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|InverseLaplaceTransform| *4 *2)) (|ofCategory| *2 (|Join| (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|) (|SpecialFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *4)))))) 
(((*1 *1 *1 *1) (|partial| AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *2 *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *3 *3 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *3 "failed") *3 *3 *4)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|ModularField| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ComplexDoubleFloatMatrix|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ComplexDoubleFloatVector|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DoubleFloatMatrix|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DoubleFloatVector|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|U16Matrix|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|U32Matrix|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|U8Matrix|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|SubSpaceComponentProperty|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|ContinuedFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|Kernel| *4))) (|ofCategory| *4 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|IntegrationTools| *3 *4)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|PatternMatchResult| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|Mapping| (|Union| (|Record| (|:| |ratpart| *6) (|:| |coeff| *6)) "failed") *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|Record| (|:| |answer| (|IntegrationResult| (|Fraction| *7))) (|:| |a0| *6))) (|isDomain| *1 (|TranscendentalIntegration| *6 *7)) (|isDomain| *3 (|Fraction| *7))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6))) (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Fraction| *6))) (|isDomain| *1 (|RationalRicDE| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *7))) (|isDomain| *4 (|Mapping| (|List| *6) *7)) (|isDomain| *5 (|Mapping| (|Factored| *7) *7)) (|ofCategory| *6 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|List| (|Fraction| *7))) (|isDomain| *1 (|RationalRicDE| *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6))) (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Fraction| *6))) (|isDomain| *1 (|RationalRicDE| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *7 (|Fraction| *7))) (|isDomain| *4 (|Mapping| (|List| *6) *7)) (|isDomain| *5 (|Mapping| (|Factored| *7) *7)) (|ofCategory| *6 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|List| (|Fraction| *7))) (|isDomain| *1 (|RationalRicDE| *6 *7)))) ((*1 *2 *3) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|AlgebraicallyClosedField|)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Fraction| *5))) (|isDomain| *1 (|RationalRicDE| *4 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6))) (|isDomain| *4 (|Mapping| (|Factored| *6) *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|AlgebraicallyClosedField|)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Fraction| *6))) (|isDomain| *1 (|RationalRicDE| *5 *6)))) ((*1 *2 *3) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *5 (|Fraction| *5))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|AlgebraicallyClosedField|)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Fraction| *5))) (|isDomain| *1 (|RationalRicDE| *4 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6))) (|isDomain| *4 (|Mapping| (|Factored| *6) *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|AlgebraicallyClosedField|)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Fraction| *6))) (|isDomain| *1 (|RationalRicDE| *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ListMultiDictionary| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5))))) 
(((*1 *1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *8 (|PlacesCategory| *4 *7)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *4 *5 *3 *6 *2 *7 *8 *9 *10)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *2 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|DivisorCategory| *8)) (|ofCategory| *10 (|BlowUpMethodCategory|)))) ((*1 *1 *2 *3 *4 *5 *6 *5 *7 *8 *9) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *8)) (|isDomain| *4 (|AffinePlane| *8)) (|isDomain| *9 (|Symbol|)) (|ofCategory| *8 (|Field|)) (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *12 (|DirectProductCategory| (|#| *10) *5)) (|ofCategory| *13 (|LocalPowerSeriesCategory| *8)) (|ofCategory| *14 (|PlacesCategory| *8 *13)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *8 *10 *11 *12 *2 *13 *14 *7 *6)) (|ofCategory| *11 (|PolynomialCategory| *8 *12 (|OrderedVariableList| *10))) (|ofCategory| *2 (|ProjectiveSpaceCategory| *8)) (|ofCategory| *7 (|DivisorCategory| *14)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)))) ((*1 *1) (|isDomain| *1 (|SingletonAsOrderedSet|)))) 
(((*1 *1 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|MoreSystemCommands|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 *5 *5)) (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Mapping| (|Stream| *4) (|Stream| *4) (|Stream| *4))) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *5))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerAlgebraicNumber|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|InputForm|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|InputForm|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Matrix| *3))) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *6)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *1 (|ListToMap| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *2)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|ListToMap| *5 *2)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|List| *5)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|Mapping| *5 *6)) (|isDomain| *1 (|ListToMap| *6 *5)))) ((*1 *2 *3 *4 *5 *2) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *2)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|ListToMap| *5 *2)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *6)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Type|)) (|isDomain| *1 (|ListToMap| *5 *6)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *2)) (|isDomain| *6 (|Mapping| *2 *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|ListToMap| *5 *2)))) ((*1 *2 *1 *1 *3) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *3 (|Character|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|UniversalSegment| (|Integer|))) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|AbelianGroup|))) ((*1 *1 *1) (|ofCategory| *1 (|AbelianGroup|))) ((*1 *1 *1 *1) (|partial| |isDomain| *1 (|CardinalNumber|))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Database| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ (|Symbol|))) (SIGNATURE |display| ((|Void|) $)) (SIGNATURE |fullDisplay| ((|Void|) $))))))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|GradedModule| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|GradedModule| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Mapping| *4 *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|MappingPackage4| *3 *4)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)))) ((*1 *2 *2 *1) (AND (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *3 *4)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Point| (|DoubleFloat|))) (|isDomain| *1 (|TubePlotTools|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|AbelianGroup|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|AbelianGroup|))))) 
(((*1 *2 *3 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|HallBasis|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OpenMath|)) (|isDomain| *2 (|String|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|OpenMath|)) (|isDomain| *3 (|Boolean|)) (|isDomain| *2 (|String|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|OpenMath|)) (|isDomain| *3 (|OpenMathDevice|)) (|isDomain| *2 (|Void|)))) ((*1 *2 *3 *1 *4) (AND (|ofCategory| *1 (|OpenMath|)) (|isDomain| *3 (|OpenMathDevice|)) (|isDomain| *4 (|Boolean|)) (|isDomain| *2 (|Void|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Expression| *4)) (|ofCategory| *4 (|Join| (|OpenMath|) (|OrderedSet|) (|Ring|))) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpressionToOpenMath| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| *5)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OpenMath|) (|OrderedSet|) (|Ring|))) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpressionToOpenMath| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|OpenMathDevice|)) (|isDomain| *4 (|Expression| *5)) (|ofCategory| *5 (|Join| (|OpenMath|) (|OrderedSet|) (|Ring|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ExpressionToOpenMath| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|OpenMathDevice|)) (|isDomain| *4 (|Expression| *6)) (|isDomain| *5 (|Boolean|)) (|ofCategory| *6 (|Join| (|OpenMath|) (|OrderedSet|) (|Ring|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ExpressionToOpenMath| *6))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *4 *4 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|isDomain| *2 (|Matrix| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage2| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|InternalPrintPackage|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Kernel| *5))) (|isDomain| *3 (|Symbol|)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|IntegrationTools| *4 *5))))) 
(((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|Vector| *5)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|SingleInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *1) (|isDomain| *1 (|Character|))) ((*1 *1 *2) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DefiniteIntegrationTools| *4 *5)) (|ofCategory| *5 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *4)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *2 *1) (|partial| AND (|isDomain| *2 (|Fraction| *1)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *1 *1 *1) (|partial| AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *3 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *1)))) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SquareMatrix| *4 *2)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *2 (|Join| (|Ring|) (CATEGORY |package| (ATTRIBUTE (|commutative| "*"))))) (|isDomain| *1 (|Permanent| *4 *2))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Fraction| (|Integer|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Equation| *3)) (|isDomain| *5 (|Fraction| (|Integer|))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *6 *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 (|Integer|))) (|isDomain| *4 (|Equation| *6)) (|ofCategory| *6 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *6 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *7 (|Integer|))) (|isDomain| *4 (|Equation| *7)) (|isDomain| *5 (|UniversalSegment| (|Integer|))) (|ofCategory| *7 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *6 *7)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3)) (|isDomain| *6 (|UniversalSegment| (|Integer|))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *7))) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *7 *3)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Mapping| *8 (|Fraction| (|Integer|)))) (|isDomain| *4 (|Equation| *8)) (|isDomain| *5 (|UniversalSegment| (|Fraction| (|Integer|)))) (|isDomain| *6 (|Fraction| (|Integer|))) (|ofCategory| *8 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *7))) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *7 *8)))) ((*1 *2 *3 *4 *5 *6 *7) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3)) (|isDomain| *6 (|UniversalSegment| (|Fraction| (|Integer|)))) (|isDomain| *7 (|Fraction| (|Integer|))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *8))) (|ofCategory| *8 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *8 *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *3)))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|InnerTaylorSeries| *3)))) ((*1 *1 *2 *3 *1) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *3)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *3 (|Stream| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| *4)))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *1 (|UnivariatePuiseuxSeriesCategory| *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| *3)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *3 *3 *4 *4) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|ContinuedFraction| *6)) (|isDomain| *1 (|PadeApproximants| *5 *4 *6)) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *5)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *3) (|Finite|)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|CommutativeRing|)))) ((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|U32Vector|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *2 *3 *3) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|HTMLFormat|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|MathMLFormat|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|Logic|))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerRetractions| *3)) (|ofCategory| *3 (|RetractableTo| *2)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *2 *5 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *1 (|NormalizationPackage| *4 *5 *6 *2 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *2))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |stiffnessFactor| (|Float|)) (|:| |stabilityFactor| (|Float|)))) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *14)) (|ofCategory| *14 (|DesingTreeCategory| *13)) (|ofCategory| *13 (|InfinitlyClosePointCategory| *5 *6 *7 *8 *9 *10 *11 *12 *15)) (|ofCategory| *15 (|BlowUpMethodCategory|)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) *3)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|ofCategory| *12 (|DivisorCategory| *11)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DesingTreePackage| *5 *6 *7 *8 *9 *10 *11 *12 *13 *14 *15))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|SplittingTree| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RetractableTo| (|Integer|))) (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|PermutationCategory| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|FunctionSpaceComplexIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *5)))))) 
(((*1 *2) (AND (|isDomain| *2 (|OrderedCompletion| (|Integer|))) (|isDomain| *1 (|Infinity|)))) ((*1 *1) (AND (|isDomain| *1 (|OrderedCompletion| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|StackAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *1) (|isDomain| *1 (|FortranCode|)))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Kernel| *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *4 *2))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |value| *4) (|:| |weight| (|Integer|))))) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Mapping| *4)) (|isDomain| *1 (|RandomDistributions| *4))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Polynomial| *4))) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Polynomial| *3))))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *3)))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| *6) *6 (|Symbol|))) (|:| A (|Mapping| *5 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *5))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| *6 (|NonNegativeInteger|) (|Symbol|) *6)) (|:| C (|Mapping| (|List| *5) (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| *6) *6 *3)) (|:| A (|Mapping| *5 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *5))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| *6 (|NonNegativeInteger|) *3 *6)) (|:| C (|Mapping| (|List| *5) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|AlgebraicNumber|))) (|UnivariateFormalPowerSeries| (|AlgebraicNumber|)))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|AlgebraicNumber|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|AlgebraicNumber|)) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|AlgebraicNumber|))) (|UnivariateFormalPowerSeries| (|AlgebraicNumber|)))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| (|AlgebraicNumber|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|AlgebraicNumber|)) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| *4 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *4))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| *4) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| *4 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *4))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| *4) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|)))) (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|Integer|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Integer|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Integer|)) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|)))) (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| (|Integer|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Integer|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Integer|)) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|))))) (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|)))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|Polynomial| (|Integer|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Polynomial| (|Integer|))))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Polynomial| (|Integer|))) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|))))) (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|)))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| (|Polynomial| (|Integer|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Polynomial| (|Integer|))))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Polynomial| (|Integer|))) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 HPSPEC) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 (|Symbol|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| HPSPEC (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateFormalPowerSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|))))) 
(((*1 *1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|VectorCategory| *3)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|TranscendentalFunctionCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|FourierComponent| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|ExpressionTubePlot|)) (|isDomain| *3 (|DoubleFloat|))))) 
(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|d01AgentsPackage|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *4)) (|ofCategory| *4 (|Algebra| *3)) (|ofCategory| *4 (|Ring|)) (|isDomain| *3 (|Fraction| (|Integer|))) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4))))) 
(((*1 *2 *3 *2) (|partial| AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|ofCategory| *2 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|)))) (|isDomain| *1 (|LinearSystemMatrixPackage| *4 *5 *2 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *2)))) ((*1 *2 *3 *2) (|partial| AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Matrix| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|LinearSystemMatrixPackage1| *4)))) ((*1 *2 *3 *2 *4 *5) (|partial| AND (|isDomain| *4 (|List| *2)) (|isDomain| *5 (|Mapping| *2 *2)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|ODETools| *2 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *2)))) ((*1 *2 *3) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5 *4 *6 *7) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|String|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp73| PDEF)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp74| BNDY)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPartialDifferentialEquationsPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Mapping| (|Boolean|) *9)) (|isDomain| *5 (|Mapping| (|Boolean|) *9 *9)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |bas| *1) (|:| |top| (|List| *9)))) (|isDomain| *3 (|List| *9)) (|ofCategory| *1 (|TriangularSetCategory| *6 *7 *8 *9)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Mapping| (|Boolean|) *8 *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |bas| *1) (|:| |top| (|List| *8)))) (|isDomain| *3 (|List| *8)) (|ofCategory| *1 (|TriangularSetCategory| *5 *6 *7 *8))))) 
(((*1 *2 *3 *3 *3 *4 *5) (AND (|isDomain| *5 (|List| (|List| (|DoubleFloat|)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|List| (|Point| *4))) (|isDomain| *1 (|TubePlotTools|)) (|isDomain| *3 (|Point| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| (|NonNegativeInteger|)))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |mat| (|Matrix| (|Fraction| (|Polynomial| *4)))) (|:| |vec| (|List| (|Fraction| (|Polynomial| *4)))) (|:| |rank| (|NonNegativeInteger|)) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|))))) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *4)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *4))))))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (|ofCategory| *3 (|DesingTreeCategory| *12))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *3)) (|ofCategory| *3 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *3)) (|ofCategory| *3 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|ParametricPlaneCurve| *6)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|ofCategory| *6 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|ParametricPlaneCurve| *5)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|ofCategory| *5 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|ParametricSpaceCurve| *6)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|ofCategory| *6 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|ParametricSpaceCurve| *5)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|ofCategory| *5 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *5)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *3)) (|ofCategory| *3 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *3)) (|ofCategory| *3 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|ParametricSurface| *6)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|ofCategory| *6 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *6)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|ParametricSurface| *5)) (|isDomain| *4 (|SegmentBinding| (|Float|))) (|ofCategory| *5 (|Join| (|ConvertibleTo| (|InputForm|)) (|SetCategory|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctions| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|Float|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|)))) ((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Equation| *7)) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|List| (|DrawOption|))) (|ofCategory| *7 (|FunctionSpace| *6)) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForAlgebraicCurves| *6 *7)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForPoints|)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *4 (|List| (|DrawOption|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForPoints|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Point| (|DoubleFloat|)))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForPoints|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Point| (|DoubleFloat|)))) (|isDomain| *4 (|List| (|DrawOption|))) (|isDomain| *2 (|TwoDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForPoints|)))) ((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForPoints|)))) ((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *4 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|TopLevelDrawFunctionsForPoints|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *1 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5)) (|ofCategory| *2 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 "right") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 "left") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|EltableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *2 (|Any|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|Library|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 (|UniversalSegment| (|Integer|))) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 "value") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *2) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|ofCategory| *1 (|TableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 "last") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 "rest") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 "first") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Divisor| (|Places| *4))) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Divisor| (|Places| *5))) (|isDomain| *4 (|List| (|Places| *5))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4))) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *5))) (|isDomain| *4 (|List| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *5))) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|BlowUpMethodCategory|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|DictionaryOperations| *3)))) ((*1 *1) (AND (|ofCategory| *1 (|DictionaryOperations| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Stream| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|PrimitiveArray| *3)) (|isDomain| *1 (|SubResultantPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |var| (|List| (|Symbol|))) (|:| |pred| (|Any|)))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1) (|isDomain| *1 (|Color|)))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *1 (|FortranType|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|NAGLinkSupportPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Matrix| (|Integer|))) (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|List| (|Equation| (|Polynomial| *6)))) (|isDomain| *1 (|InnerNumericFloatSolvePackage| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|ParametricPlaneCurve| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|ParametricSpaceCurve| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|ParametricSurface| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4 *4 *3 *5 *3 *3 *4 *3 *6) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp4| FUNCTN)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Record| (|:| |num| (|Vector| *4)) (|:| |den| *4)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1) (|ofCategory| *1 (|FieldOfPrimeCharacteristic|)))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|OpenMathEncoding|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MultiDictionary| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| (|Record| (|:| |entry| *3) (|:| |count| (|NonNegativeInteger|)))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateLaurentSeriesCategory| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *2 *2)) (|isDomain| *1 (|MappingPackage1| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| (|List| *5) (|List| *5))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|MappingPackage1| *5)) (|ofCategory| *5 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|Finite|)))) ((*1 *2) (AND (|isDomain| *2 (|Vector| (|SetOfMIntegersInOneToN| *3 *4))) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|AffinePlane| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|InternalRationalUnivariateRepresentationPackage| *5 *6 *7 *8 *3)) (|ofCategory| *3 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5)) (|:| |coordinates| (|List| (|Polynomial| *5)))))) (|isDomain| *1 (|RationalUnivariateRepresentationPackage| *5 *6)) (|isDomain| *3 (|List| (|Polynomial| *5))) (|ofType| *6 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *4)) (|:| |coordinates| (|List| (|Polynomial| *4)))))) (|isDomain| *1 (|RationalUnivariateRepresentationPackage| *4 *5)) (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofType| *5 (|List| (|Symbol|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5)) (|:| |coordinates| (|List| (|Polynomial| *5)))))) (|isDomain| *1 (|RationalUnivariateRepresentationPackage| *5 *6)) (|isDomain| *3 (|List| (|Polynomial| *5))) (|ofType| *6 (|List| (|Symbol|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|ofCategory| *2 (|FunctionSpace| *5)) (|isDomain| *1 (|ExpressionSolve| *5 *2 *6 *7)) (|ofCategory| *6 (|UnivariateTaylorSeriesCategory| *2)) (|ofCategory| *7 (|UnivariateTaylorSeriesCategory| (|SparseUnivariatePolynomialExpressions| *2)))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|Integer|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|Integer|)))) ((*1 *2 *3 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|))))) 
(((*1 *2 *3 *3 *4 *5 *5) (AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Record| (|:| |val| (|List| *8)) (|:| |tower| *9)))) (|isDomain| *5 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *6 *7 *4)) (|ofCategory| *9 (|RegularTriangularSetCategory| *6 *7 *4 *8)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|Record| (|:| |val| *8) (|:| |tower| *9)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *6 *7 *4 *8 *9))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *4 *2 *5)) (|ofCategory| *4 (|Type|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *2 (|FiniteLinearAggregate| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|RectangularMatrixCategory| *4 *5 *6 *2 *7)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|DirectProductCategory| *4 *6)) (|ofCategory| *2 (|DirectProductCategory| *5 *6))))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3))) ((*1 *1 *2 *3 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|ThreeDimensionalMatrix| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|Boolean|)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *7 *8 *9)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *7 *8 *9 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *7 *8 *9 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|Boolean|)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *7 *8 *9)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *7 *8 *9 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *7 *8 *9 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Database| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ (|Symbol|))) (SIGNATURE |display| (*2 $)) (SIGNATURE |fullDisplay| (*2 $))))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Database| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |elt| ((|String|) $ (|Symbol|))) (SIGNATURE |display| (*2 $)) (SIGNATURE |fullDisplay| (*2 $))))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|IndexCard|))))) 
(((*1 *2 *3) (AND (|has| *6 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *3) (AND (|has| *9 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|ofCategory| *7 (|QuotientFieldCategory| *4)) (|ofCategory| *8 (|FiniteLinearAggregate| *7)) (|ofCategory| *9 (|FiniteLinearAggregate| *7)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|InnerMatrixQuotientFieldFunctions| *4 *5 *6 *3 *7 *8 *9 *10)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)) (|ofCategory| *10 (|MatrixCategory| *7 *8 *9)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| *7))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|HomogeneousDistributedMultivariatePolynomial| *3 *4))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *1 (|LinGroebnerPackage| *3 *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Tree| *3))) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Equation| *3)) (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *6 *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 (|Integer|))) (|isDomain| *4 (|Equation| *6)) (|ofCategory| *6 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *6 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *7 (|Integer|))) (|isDomain| *4 (|Equation| *7)) (|isDomain| *5 (|UniversalSegment| (|NonNegativeInteger|))) (|ofCategory| *7 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *6 *7)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3)) (|isDomain| *6 (|UniversalSegment| (|NonNegativeInteger|))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *7))) (|ofCategory| *7 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GenerateUnivariatePowerSeries| *7 *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Polynomial| *3))) (|ofCategory| *3 (|GcdDomain|)) (|isDomain| *1 (|FGLMIfCanPackage| *3 *4)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerPackage| *3 *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|String|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerPackage| *4 *5 *6 *7)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|String|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerPackage| *4 *5 *6 *7)))) ((*1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *3 *5 *6)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|InterfaceGroebnerPackage| *3 *4 *5 *6 *7)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|NewSparseMultivariatePolynomial| *3 (|OrderedVariableList| *4)))) (|ofCategory| *3 (|GcdDomain|)) (|ofType| *4 (|List| (|Symbol|))) (|isDomain| *1 (|LexTriangularPackage| *3 *4))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|DifferentialExtension| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|DifferentialExtension| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|DifferentialRing|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1) (|ofCategory| *1 (|DifferentialRing|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|DifferentialVariableCategory| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1) (AND (|ofCategory| *2 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|GeneralUnivariatePowerSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *2 *1 *3) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|PartialDifferentialRing| *3)) (|isDomain| *1 (|IntegrationResult| *2)) (|isDomain| *3 (|Symbol|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Mapping| *2 *2)) (|isDomain| *1 (|IntegrationResult| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *4)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|ofCategory| *1 (|PartialDifferentialRing| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|PartialDifferentialRing| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *1 (|PartialDifferentialRing| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PartialDifferentialRing| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| (QUOTE |x|))) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Union| (|Boolean|) (|List| *1))) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
(((*1 *1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|Multiset| *4)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Multiset| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *3 *4))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *3 (|PlacesCategory| *4 *8)) (|ofCategory| *9 (|DivisorCategory| *3)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *2 *8 *3 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|ProjectiveSpaceCategory| *4)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *2 *8 *3 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *2 (|ProjectiveSpaceCategory| *4)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *4 *5 *6 *7 *2 *8 *3)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *3 (|PlacesCategory| *4 *8)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Places| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|ProjectivePlane| *4)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *4)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1) (|isDomain| *1 (|ThreeDimensionalViewport|)))) 
(((*1 *2 *1 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *4)))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *4 *2 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *3 *4)) (|ofCategory| *2 (|DirectProductCategory| *3 *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|PackageForPoly| *4 *5 *6 *7)) (|ofCategory| *5 (|FiniteAbelianMonoidRing| *4 *6))))) 
(((*1 *2 *3 *4 *2 *5 *6 *7 *8 *9 *10) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *13))) (|isDomain| *3 (|SparseUnivariatePolynomial| *13)) (|isDomain| *4 (|List| *12)) (|isDomain| *5 (|List| *10)) (|isDomain| *6 (|List| *13)) (|isDomain| *7 (|List| (|List| (|Record| (|:| |expt| (|NonNegativeInteger|)) (|:| |pcoef| *13))))) (|isDomain| *8 (|List| (|NonNegativeInteger|))) (|isDomain| *9 (|Vector| (|List| (|SparseUnivariatePolynomial| *10)))) (|ofCategory| *12 (|OrderedSet|)) (|ofCategory| *10 (|EuclideanDomain|)) (|ofCategory| *13 (|PolynomialCategory| *10 *11 *12)) (|ofCategory| *11 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|MultivariateLifting| *11 *12 *10 *13))))) 
(((*1 *1 *2 *2 *1) (AND (|isDomain| *1 (|ListMultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|ofCategory| *2 (|Join| (|FunctionSpace| (|Complex| *4)) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *3 *2)) (|ofCategory| *3 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *3 *2) (|partial| AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|Monoid|) (|Finite|) (CATEGORY |package| (SIGNATURE ** (*3 *3 (|Integer|)))))) (|isDomain| *1 (|DiscreteLogarithmPackage| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *2 (|List| (|Complex| *4))) (|isDomain| *1 (|ComplexRootPackage| *3 *4)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| (|Integer|)))) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|List| (|Complex| *4))) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4))))) ((*1 *2 *3 *4) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|List| (|Complex| *4))) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4)))))) 
(((*1 *2 *1 *3 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |radicand| (|Fraction| *5)) (|:| |deg| (|NonNegativeInteger|)))) (|isDomain| *1 (|ChangeOfVariable| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *5)))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1) (|ofCategory| *1 (|HyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2 *3 *4) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *7))) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *7 (|PolynomialCategory| *5 *6 *4)) (|ofCategory| *5 (|PolynomialFactorizationExplicit|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *5 *6 *4 *7))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Boolean|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|Any|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *3 *3 *3 *3 *3 *4 *4 *4 *4 *5 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *3)))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|e04AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|FactoringUtilities| *4 *5 *6 *7)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|FortranExpression| *3 *4 *5)) (|ofType| *3 *2) (|ofType| *4 *2) (|ofCategory| *5 (|FortranMachineTypeCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|List| (|Symbol|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $))))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PowerSeriesCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|List| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|RationalFunction| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OutputPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OutputPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|OutputForm|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OutputPackage|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Stream| *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *4 (|Type|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|RewriteRule| *3 *4 *5))) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *1 (|Ruleset| *3 *4 *5))))) 
(((*1 *2) (AND (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|PolynomialFactorizationExplicit|)) (|isDomain| *1 (|GeneralPolynomialGcdPackage| *3 *4 *2 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4)))) ((*1 *2) (AND (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|PolynomialFactorizationExplicit|)) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4)))) ((*1 *2) (AND (|ofCategory| *2 (|PolynomialFactorizationExplicit|)) (|isDomain| *1 (|PolynomialFactorizationByRecursionUnivariate| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|AssociationList| (|String|) (|None|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|ofCategory| *7 (|QuotientFieldCategory| *4)) (|ofCategory| *2 (|MatrixCategory| *7 *8 *9)) (|isDomain| *1 (|InnerMatrixQuotientFieldFunctions| *4 *5 *6 *3 *7 *8 *9 *2)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6)) (|ofCategory| *8 (|FiniteLinearAggregate| *7)) (|ofCategory| *9 (|FiniteLinearAggregate| *7)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *2 *3 *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *3 *4)) (|ofCategory| *6 (|DirectProductCategory| *2 *4)) (|ofCategory| *4 (|EuclideanDomain|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Factored| *2)) (|ofCategory| *2 (|PolynomialCategory| *7 *5 *6)) (|isDomain| *1 (|MultivariateSquareFree| *5 *6 *7 *2)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|EuclideanDomain|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *6 (|Join| (|AlgebraicallyClosedField|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|ofCategory| *8 (|UnivariatePolynomialCategory| (|Fraction| *7))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|AlgebraicIntegrate| *5 *6 *7 *8 *3)) (|ofCategory| *3 (|FunctionFieldCategory| *6 *7 *8))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|CyclicStreamTools| *3 *2)) (|ofCategory| *2 (|LazyStreamAggregate| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (|ofCategory| *1 (|HyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|BagAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|BinarySearchTree| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|BinaryTournament| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) (|isDomain| *1 (|IntegrationFunctionsTable|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) (|isDomain| *1 (|ODEIntensityFunctionsTable|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *3 (|String|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *1 *1) (|isDomain| *1 (|ThreeDimensionalViewport|)))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|RegularChain| *5 *6))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|RegularChain| *5 *6))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|RegularChain| *4 *5))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|)))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1) (|ofCategory| *1 (|FiniteFieldCategory|)))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Polynomial| *4))) (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *1 (|PolyGroebner| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileCategory| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| (|Vector| (|Integer|)))) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|GrayCode|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *3 *4 *4 *5 *5 *3 *3 *4 *4 *5 *5 *3 *3 *4 *4 *5 *5 *3 *4 *4 *4 *6 *4) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|ThreeDimensionalMatrix| (|DoubleFloat|))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPartialDifferentialEquationsPackage|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *2 *3 *4 *4 *5 *4 *6 *4 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Matrix| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RandomNumberSource|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|List| *1)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Record| (|:| |zeros| (|List| *4)) (|:| |extDegree| (|Integer|)))) (|isDomain| *1 (|RootsFindingPackage| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4))))) 
(((*1 *1) (|ofCategory| *1 (|AbelianMonoid|))) ((*1 *1) (|ofCategory| *1 (|Aggregate|))) ((*1 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1) (|ofCategory| *1 (|Monoid|))) ((*1 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (|isDomain| *1 (|Symbol|)))) 
(((*1 *2 *3 *4 *4 *4 *5 *6 *7) (|partial| AND (|isDomain| *5 (|Symbol|)) (|isDomain| *6 (|Mapping| (|Union| (|Record| (|:| |mainpart| *4) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *4) (|:| |logand| *4))))) "failed") *4 (|List| *4))) (|isDomain| *7 (|Mapping| (|Union| (|Record| (|:| |ratpart| *4) (|:| |coeff| *4)) "failed") *4 *4)) (|ofCategory| *4 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedField|) (|FunctionSpace| *8))) (|ofCategory| *8 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| *3) (|LinearlyExplicitRingOver| *3))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|ElementaryRischDESystem| *8 *4))))) 
(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4)))) ((*1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3))) ((*1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |lcmfij| *5) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *3) (|:| |polj| *3)))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|HomogeneousDistributedMultivariatePolynomial| *4 *5)) (|isDomain| *1 (|PolToPol| *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|TubePlot| *2)) (|ofCategory| *2 (|PlottableSpaceCurveCategory|))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Stream| *2)) (|ofCategory| *2 (|EuclideanDomain|)) (|isDomain| *1 (|ContinuedFraction| *2))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 *5)) (|ofCategory| *1 (|FunctionFieldCategory| *4 *5 *6)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|Record| (|:| |num| (|Matrix| *5)) (|:| |den| *5)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Set| *3)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Set| *3)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Tableau| *3))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Record| (|:| |base| *3) (|:| |exponent| (|NonNegativeInteger|)))) (|isDomain| *1 (|IntegerRoots| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|FractionFreeFastGaussian| *4 *5)) (|ofCategory| *5 (|AbelianMonoidRing| *4 *3))))) 
(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| *3)) (|:| |logand| (|SparseUnivariatePolynomial| *3))))) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *1 *2 *1) (AND (|ofCategory| *1 (|AbelianGroup|)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|AbelianMonoid|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|AbelianSemiGroup|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|Color|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|Color|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|))) (|isDomain| *1 (|DenavitHartenbergMatrix| *3)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|Monoid|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|Monoid|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|SemiGroup|)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|SemiGroup|)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *3) (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|CancellationAbelianMonoid|)))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|FreeGroup| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|FreeGroup| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *3) (AND (|isDomain| *1 (|FreeModule1| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *3) (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *6 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|ofType| *7 (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *6)) (|Record| (|:| |index| *5) (|:| |exponent| *6)))) (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *5 *6 *7 *2)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *3))))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|GradedModule| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|GradedModule| *2 *3)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *3)))) ((*1 *1 *1 *1) (|isDomain| *1 (|InputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|InnerTaylorSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|InnerTaylorSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|LeftModule| *2)) (|ofCategory| *2 (|Rng|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *7 *6)) (|isDomain| *4 (|Mapping| *6 *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Mapping| *7 *5)) (|isDomain| *1 (|MappingPackage3| *5 *6 *7)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Mapping| *4 *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|MappingPackage4| *3 *4)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *2 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|FiniteLinearAggregate| *3)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *2 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|Monad|))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|MyExpression| *2 *3)) (|ofType| *2 (|Symbol|)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|LocalPowerSeriesCategory| *4)) (|isDomain| *2 (|Divisor| *1)) (|ofCategory| *1 (|PlacesCategory| *4 *5)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Vector| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *4)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RightModule| *2)) (|ofCategory| *2 (|Rng|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SemiGroup|))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *4 *2 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|DirectProductCategory| *3 *4)) (|ofCategory| *5 (|DirectProductCategory| *3 *4)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *4 *5 *2)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *3 *4)) (|ofCategory| *2 (|DirectProductCategory| *3 *4)))) ((*1 *1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *3 *4 *2)) (|ofCategory| *2 (|PolynomialCategory| *3 (|IndexedExponents| *4) *4)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Point| (|DoubleFloat|))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *1 (|TubePlotTools|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|Monoid|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|Monoid|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|VectorCategory| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|AbelianGroup|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *2)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *2)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *2 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |mval| (|Matrix| *4)) (|:| |invmval| (|Matrix| *4)) (|:| |genIdeal| (|PolynomialIdeals| *4 *5 *6 *7)))) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|PlaneAlgebraicCurvePlot|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Factored| *4) *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Factored| *4)) (|isDomain| *1 (|FactoredFunctionUtilities| *4)))) ((*1 *1 *1) (|isDomain| *1 (|Plot|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *1) (|isDomain| *1 (|Plot3D|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|)))) ((*1 *2 *3 *2 *4) (AND (|isDomain| *2 (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) (|isDomain| *4 (|Fraction| (|Integer|))) (|isDomain| *1 (|RealZeroPackage| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2 *2) (|partial| AND (|isDomain| *2 (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) (|isDomain| *1 (|RealZeroPackage| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2 *4) (AND (|isDomain| *2 (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) (|isDomain| *4 (|Fraction| (|Integer|))) (|isDomain| *1 (|RealZeroPackageQ| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *2 *2) (|partial| AND (|isDomain| *2 (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) (|isDomain| *1 (|RealZeroPackageQ| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))))) ((*1 *1 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Kernel| *1)) (|ofCategory| *1 (|ExpressionSpace|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4)))) ((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3))) ((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *2 *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|DifferentialRing|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Mapping| *1 (|NonNegativeInteger|))) (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *3)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Mapping| *1 (|NonNegativeInteger|))) (|ofCategory| *1 (|DifferentialPolynomialCategory| *4 *3 *5 *6)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|DifferentialVariableCategory| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|CharacteristicZero|)) (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| *3))) (|ofCategory| *3 (|Join| (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *5))) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |f1| (|OrderedCompletion| *3)) (|:| |f2| (|List| (|OrderedCompletion| *3))) (|:| |fail| "failed") (|:| |pole| "potentialPole"))) (|isDomain| *1 (|ElementaryFunctionDefiniteIntegration| *5 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| *3))) (|isDomain| *5 (|String|)) (|ofCategory| *3 (|Join| (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *6))) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |f1| (|OrderedCompletion| *3)) (|:| |f2| (|List| (|OrderedCompletion| *3))) (|:| |fail| "failed") (|:| |pole| "potentialPole"))) (|isDomain| *1 (|ElementaryFunctionDefiniteIntegration| *6 *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| (|Expression| *5)))) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *5))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *5)))) (|:| |fail| "failed") (|:| |pole| "potentialPole"))) (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| (|Expression| *6)))) (|isDomain| *5 (|String|)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *6))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *6)))) (|:| |fail| "failed") (|:| |pole| "potentialPole"))) (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| (|Fraction| (|Polynomial| *5))))) (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *5))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *5)))) (|:| |fail| "failed") (|:| |pole| "potentialPole"))) (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| (|Fraction| (|Polynomial| *6))))) (|isDomain| *5 (|String|)) (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *6))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *6)))) (|:| |fail| "failed") (|:| |pole| "potentialPole"))) (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| *3 (|List| *3))) (|isDomain| *1 (|FunctionSpaceIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *5))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|GeneralUnivariatePowerSeries| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *2 *3 *4 *5 *5 *6) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|Segment| (|OrderedCompletion| (|Float|)))) (|isDomain| *5 (|Float|)) (|isDomain| *6 (|RoutinesTable|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalIntegrationProblem|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|Segment| (|OrderedCompletion| (|Float|)))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|Segment| (|OrderedCompletion| (|Float|)))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|Segment| (|OrderedCompletion| (|Float|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Segment| (|OrderedCompletion| (|Float|))))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Segment| (|OrderedCompletion| (|Float|))))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Segment| (|OrderedCompletion| (|Float|))))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4 *5 *5 *6) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Segment| (|OrderedCompletion| (|Float|))))) (|isDomain| *5 (|Float|)) (|isDomain| *6 (|RoutinesTable|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| (|Float|)))) (|isDomain| *5 (|String|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| (|Float|)))) (|isDomain| *5 (|Symbol|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalIntegrationPackage|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|IntegrationResult| (|Fraction| *5))) (|isDomain| *1 (|RationalIntegration| *4 *5)) (|isDomain| *3 (|Fraction| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|CharacteristicZero|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|Expression| *5) (|List| (|Expression| *5)))) (|isDomain| *1 (|IntegrationResultRFToFunction| *5)))) ((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Polynomial| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *3 *2 *4)) (|ofCategory| *4 (|PolynomialCategory| *3 (|IndexedExponents| *2) *2)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|TaylorSeries| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| (QUOTE |x|))) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (OR (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (AND (|ofCategory| *3 (|AlgebraicallyClosedFunctionSpace| (|Integer|))) (|ofCategory| *3 (|PrimitiveFunctionCategory|)) (|ofCategory| *3 (|TranscendentalFunctionCategory|)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (AND (|has| *3 (SIGNATURE |variables| ((|List| *2) *3))) (|has| *3 (SIGNATURE |integrate| (*3 *3 *2))) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (OR (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|UnivariatePuiseuxSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (AND (|ofCategory| *3 (|AlgebraicallyClosedFunctionSpace| (|Integer|))) (|ofCategory| *3 (|PrimitiveFunctionCategory|)) (|ofCategory| *3 (|TranscendentalFunctionCategory|)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|UnivariatePuiseuxSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (AND (|has| *3 (SIGNATURE |variables| ((|List| *2) *3))) (|has| *3 (SIGNATURE |integrate| (*3 *3 *2))) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (OR (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (AND (|ofCategory| *3 (|AlgebraicallyClosedFunctionSpace| (|Integer|))) (|ofCategory| *3 (|PrimitiveFunctionCategory|)) (|ofCategory| *3 (|TranscendentalFunctionCategory|)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (AND (|has| *3 (SIGNATURE |variables| ((|List| *2) *3))) (|has| *3 (SIGNATURE |integrate| (*3 *3 *2))) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *2 (|FunctionSpace| *3)) (|isDomain| *1 (|AlgebraicFunction| *3 *2)) (|ofCategory| *3 (|RetractableTo| *4)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|List| *4)))) (|isDomain| *2 (|List| (|List| *4))) (|isDomain| *1 (|TableauxBumpers| *4)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *1 *2 *2) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|DeRhamComplex| *2 *3)) (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *3 (|List| (|Symbol|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|OpenMathEncoding|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|DoubleFloat|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerRetractions| *3)) (|ofCategory| *3 (|RetractableTo| *2))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|OrderedVariableList| *5))) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|List| (|List| (|DistributedMultivariatePolynomial| *5 *6)))) (|isDomain| *1 (|GroebnerSolve| *5 *6 *7)) (|isDomain| *3 (|List| (|DistributedMultivariatePolynomial| *5 *6))) (|ofCategory| *7 (|GcdDomain|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|ProjectivePlane| *3))) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *3))) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *2 *3 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *3 (|PartialDifferentialRing| *6)) (|isDomain| *2 (|Matrix| *3)) (|isDomain| *1 (|MultiVariableCalculusFunctions| *6 *3 *7 *4)) (|ofCategory| *7 (|FiniteLinearAggregate| *3)) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *6) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|))))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Complex| (|Integer|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaussianFactorizationPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|))))) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IdealDecompositionPackage| *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerPrimesPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UniqueFactorizationDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Polynomial| *6))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|List| (|List| *7))) (|isDomain| *1 (|InnerNumericFloatSolvePackage| *6 *7 *5)) (|ofCategory| *7 (|Field|)) (|ofCategory| *5 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|not| (|has| *1 (ATTRIBUTE |arbitraryPrecision|))) (|not| (|has| *1 (ATTRIBUTE |arbitraryExponent|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OrderedMultisetAggregate| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|OrderedSet|))) ((*1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Polynomial| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Polynomial| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Expression| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Expression| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Dequeue| *3)))) ((*1 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *1 (|DequeueAggregate| *3)))) ((*1 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|List| (|Stream| *7))) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *5 (|IndexedExponents| *6) *6)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Mapping| (|Stream| *7) *7)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *5 *6 *7))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *2)) (|ofCategory| *2 (|CachableSet|)) (|isDomain| *1 (|SortedCache| *2)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Integer|) *2 *2)) (|ofCategory| *2 (|CachableSet|)) (|isDomain| *1 (|SortedCache| *2))))) 
(((*1 *2 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *6))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|RetractableTo| *5))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *6)))))) (|isDomain| *1 (|RetractSolvePackage| *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|Matrix| *3))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Matrix| *3))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3))))) 
(((*1 *2 *3 *4 *4 *4 *5 *4 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *3 *4 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |val| (|List| *8)) (|:| |towers| (|List| (|RegularTriangularSet| *5 *6 *7 *8))))) (|isDomain| *1 (|RegularTriangularSet| *5 *6 *7 *8)) (|isDomain| *3 (|List| *8)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |val| (|List| *8)) (|:| |towers| (|List| (|SquareFreeRegularTriangularSet| *5 *6 *7 *8))))) (|isDomain| *1 (|SquareFreeRegularTriangularSet| *5 *6 *7 *8)) (|isDomain| *3 (|List| *8))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *9 (|PlacesCategory| *4 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *4 *5 *3 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *3 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FunctionFieldCategory&| *3 *4 *5 *6)) (|ofCategory| *3 (|FunctionFieldCategory| *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|))) ((*1 *1 *1) (|isDomain| *1 (|Character|))) ((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *2 *3 *3 *2 *4) (AND (|isDomain| *3 (|Matrix| *2)) (|isDomain| *4 (|Integer|)) (|ofCategory| *2 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *2)) (|isDomain| *1 (|IntegralBasisTools| *2 *5 *6)) (|ofCategory| *6 (|FramedAlgebra| *2 *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *4 *5 *2)) (|ofCategory| *4 (|Type|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *2 (|FiniteLinearAggregate| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|RectangularMatrixCategory| *4 *5 *6 *7 *2)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|DirectProductCategory| *5 *6)) (|ofCategory| *2 (|DirectProductCategory| *4 *6))))) 
(((*1 *1) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (|ofCategory| *1 (|CombinatorialFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *3 *1) (|partial| AND (|isDomain| *3 (|Mapping| (|Boolean|) *2)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |minor| (|List| (|PositiveInteger|))) (|:| |eq| *3) (|:| |minors| (|List| (|List| (|PositiveInteger|)))) (|:| |ops| (|List| *3)))) (|isDomain| *1 (|AssociatedEquations| *5 *3)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|AlgFactor| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|AlgebraicNumber|))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|AlgFactor| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|AlgebraicNumber|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|AlgebraicNumber|))) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|AlgebraicMultFact| *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| (|AlgebraicNumber|) *6 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|AlgebraicNumber|))) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|PolynomialCategory| (|AlgebraicNumber|) *6 *5)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|AlgebraicMultFact| *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|EuclideanDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|ComplexFactorization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4))))) ((*1 *2 *3 *4) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *4) (AND (|ofCategory| *4 (|PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|ofCategory| *4 (|PseudoAlgebraicClosureOfRationalNumberCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|FactorisationOverPseudoAlgebraicClosureOfRationalNumber| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorizationWithSizeParseBySideEffect| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|NonNegativeInteger|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|NonNegativeInteger|))) (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| (|Complex| (|Integer|)))) (|isDomain| *1 (|GaussianFactorizationPackage|)) (|isDomain| *3 (|Complex| (|Integer|))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|IntegralDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|GeneralizedMultivariateFactorize| *4 *5 *6 *7 *3)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *3 (|PolynomialCategory| *7 *5 *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|EuclideanDomain|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|GenUFactorize| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Factored| *6) *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *7 (|Join| (|Field|) (|CharacteristicZero|) (|MonogenicAlgebra| *5 *6))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|InnerAlgFactor| *5 *6 *7 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Factored| (|SparseUnivariatePolynomial| *7)) (|SparseUnivariatePolynomial| *7))) (|ofCategory| *7 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|InnerMultFact| *5 *6 *7 *3)) (|ofCategory| *3 (|PolynomialCategory| *7 *6 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Factored| (|SparseUnivariatePolynomial| *7)) (|SparseUnivariatePolynomial| *7))) (|ofCategory| *7 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|PolynomialCategory| *7 *6 *5)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *8))) (|isDomain| *1 (|InnerMultFact| *5 *6 *7 *8)) (|isDomain| *3 (|SparseUnivariatePolynomial| *8)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|IntegerFactorizationPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6)))) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorFactorizer| *5 *6)) (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|AlgebraicallyClosedField|)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5)))) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorFactorizer| *4 *5)) (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5))))) ((*1 *2 *3) (AND (|isDomain| *3 (|OrderedFreeMonoid| *4)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|LyndonWord| *4))) (|isDomain| *1 (|LyndonWord| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MultFiniteFactorize| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *6 *5 *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|FiniteFieldCategory|)) (|ofCategory| *7 (|PolynomialCategory| *6 *5 *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|MultFiniteFactorize| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|ofCategory| *6 (|EuclideanDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MPolyCatPolyFactorizer| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| (|Polynomial| *6) *4 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $))))) (|ofCategory| *6 (|IntegralDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| (|Fraction| (|Polynomial| *6)) *4 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MRationalFactorize| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| (|Fraction| *6) *4 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MultivariateFactorize| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *6 *5 *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|PolynomialCategory| *6 *5 *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|MultivariateFactorize| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|RationalFactorize| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|RationalFunctionFactor| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Polynomial| (|Integer|))))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|MonogenicAlgebra| (|Fraction| (|Integer|)) *4))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|SimpleAlgebraicExtensionAlgFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| (|Polynomial| (|Integer|))))) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|MonogenicAlgebra| (|Fraction| (|Polynomial| (|Integer|))) *4))) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|SAERationalFunctionAlgFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|Fraction| *7)))) (|isDomain| *1 (|SupFractionFactorizer| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| (|Fraction| *7))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Factored| *1)) (|ofCategory| *1 (|UniqueFactorizationDomain|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|UnivariateFactorize| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|BasicFunctions|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|AlgebraicFunction| *4 *5))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *5 (|RetractableTo| (|AlgebraicNumber|))) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|FunctionSpace| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|isDomain| *1 (|FunctionSpaceUnivariatePolynomialFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |additions| (|Integer|)) (|:| |multiplications| (|Integer|)) (|:| |exponentiations| (|Integer|)) (|:| |functionCalls| (|Integer|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 *2)) (|ofType| *6 *2) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *3 *5 *6)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *3 *4 *4) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Fraction| *6)) (|isDomain| *1 (|PadeApproximants| *5 *4 *6)) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *5)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *3 *3 *4 *4) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|UnivariateTaylorSeries| *5 *6 *7)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|Symbol|)) (|ofType| *7 *5) (|isDomain| *2 (|Fraction| (|UnivariatePolynomial| *6 *5))) (|isDomain| *1 (|PadeApproximantPackage| *5 *6 *7)))) ((*1 *2 *3 *3 *4) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|UnivariateTaylorSeries| *5 *6 *7)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|Symbol|)) (|ofType| *7 *5) (|isDomain| *2 (|Fraction| (|UnivariatePolynomial| *6 *5))) (|isDomain| *1 (|PadeApproximantPackage| *5 *6 *7))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Record| (|:| |bas| (|GeneralTriangularSet| *4 *5 *6 *7)) (|:| |top| (|List| *7)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|FreeGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FreeMonoid| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|AbelianMonoid|)) (|isDomain| *1 (|ListMonoidOps| *4 *2 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofType| *5 *2))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OrderedFreeMonoid| *4)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|NonCommutativeOperatorDivision| *3 *4)) (|ofCategory| *3 (|MonogenicLinearOperator| *4)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Automorphism| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *5 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|FileName|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranOutputStackPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|Record| (|:| |Hermite| *3) (|:| |eqMat| *3))) (|isDomain| *1 (|SmithNormalForm| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *3 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *3 *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|PositiveInteger|))) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7))))) 
(((*1 *2 *3 *4 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| *3) (|:| |entry| *4)))) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *1 (|TableAggregate| *3 *4)))) ((*1 *1) (AND (|ofCategory| *1 (|TableAggregate| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|HeuGcd| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|QuasiComponentPackage| *3 *4 *5 *6 *7)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *3 *4 *5 *6 *7))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|Any|)) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *5 (|FiniteAlgebraicExtensionField| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|NormRetractPackage| *4 *5 *6 *3 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *6)) (|ofType| *7 (|PositiveInteger|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Mapping| (|List| *7) *7 (|SparseUnivariatePolynomial| *7))) (|isDomain| *5 (|Mapping| (|Factored| *7) *7)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *6 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |frac| (|Fraction| *7)) (|:| |eq| *3)))) (|isDomain| *1 (|PrimitiveRatRicDE| *6 *7 *3 *8)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *7)) (|ofCategory| *8 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *7))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Factored| *6) *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |frac| (|Fraction| *6)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))))) (|isDomain| *1 (|RationalRicDE| *5 *6)) (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))) (|isDomain| *1 (|TwoFactorize| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|SymmetricFunctions| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Vector| *3)) (|isDomain| *1 (|SymmetricFunctions| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|List| *7))) (|isDomain| *1 (|GroebnerFactorizationPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|PolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|List| *8))) (|isDomain| *1 (|GroebnerFactorizationPackage| *5 *6 *7 *8)) (|isDomain| *3 (|List| *8))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *2 *2 *2) (AND (|isDomain| *2 (|String|)) (|ofCategory| *1 (|FileNameCategory|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *2) (AND (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 *5))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|UniqueFactorizationDomain|)) (|isDomain| *1 (|ChangeOfVariable| *2 *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Result|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|RegularChain| *4 *5)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *6 (|List| (|Symbol|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|)))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|QuasiAlgebraicSet| (|Fraction| (|Integer|)) (|OrderedVariableList| *3) (|DirectProduct| *4 (|NonNegativeInteger|)) (|DistributedMultivariatePolynomial| *3 (|Fraction| (|Integer|))))) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|NonNegativeInteger|)) (|isDomain| *1 (|QuasiAlgebraicSet2| *3 *4))))) 
(((*1 *2 *3 *4 *5 *6 *3 *3 *3 *3 *6 *3 *7 *8) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Boolean|)) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp28| APROD)))) (|isDomain| *8 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp34| MSOLVE)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLinearEquationSolvingPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|PatternMatchResult| *3 *5)) (|isDomain| *1 (|PatternMatchListResult| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *5 (|ListAggregate| *4))))) 
(((*1 *2 *3 *3 *3 *3 *3 *3 *3 *3 *4 *5 *5 *5 *5 *5 *5 *6 *6 *6 *3 *3 *5 *7 *3 *8) (AND (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Boolean|)) (|isDomain| *7 (|Matrix| (|Integer|))) (|isDomain| *8 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp20| QPHESS)))) (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *1 *1) (|isDomain| *1 (|AlgebraicNumber|))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|isDomain| *4 (|OneDimensionalArray| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|OneDimensionalArrayFunctions2| *5 *2)))) ((*1 *2 *3 *1 *2 *2) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|ofCategory| *2 (|SetCategory|)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3 *1 *2) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |pol| (|SparseUnivariatePolynomial| *4)) (|:| |deg| (|PositiveInteger|)))) (|isDomain| *1 (|DegreeReductionPackage| *4 *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|))))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *6 *2)) (|isDomain| *4 (|DirectProduct| *5 *6)) (|ofType| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|DirectProductFunctions2| *5 *6 *2)))) ((*1 *1 *2 *3) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *4 *2 *3 *5 *6 *7)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *2 *2 *3)) (|ofType| *6 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *7 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Expression| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|FiniteDivisorCategory| *2 *3 *4 *5)) (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|ofCategory| *5 (|FunctionFieldCategory| *2 *3 *4)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|FiniteLinearAggregateFunctions2| *5 *4 *2 *6)) (|ofCategory| *4 (|FiniteLinearAggregate| *5)) (|ofCategory| *6 (|FiniteLinearAggregate| *2)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|FiniteSetAggregateFunctions2| *5 *4 *2 *6)) (|ofCategory| *4 (|FiniteSetAggregate| *5)) (|ofCategory| *6 (|FiniteSetAggregate| *2)))) ((*1 *1 *1) (|isDomain| *1 (|InnerAlgebraicNumber|))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|ListFunctions2| *5 *2)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|ofCategory| *8 (|FiniteLinearAggregate| *2)) (|ofCategory| *9 (|FiniteLinearAggregate| *2)) (|isDomain| *1 (|MatrixCategoryFunctions2| *5 *6 *7 *4 *2 *8 *9 *10)) (|ofCategory| *4 (|MatrixCategory| *5 *6 *7)) (|ofCategory| *10 (|MatrixCategory| *2 *8 *9)))) ((*1 *1 *2 *3) (AND (|isDomain| *1 (|ModularField| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Fraction| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *1 (|MonogenicAlgebra| *3 *4)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *1 (|MonogenicAlgebra| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|PlacesCategory| *4 *5)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|LocalPowerSeriesCategory| *4)) (|isDomain| *2 (|Divisor| *1)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|isDomain| *4 (|PrimitiveArray| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|PrimitiveArrayFunctions2| *5 *2)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|ResidueRing| *3 *4 *5 *2 *6)) (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5)) (|ofType| *6 (|List| *2)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *7 *2)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *2 (|Ring|)) (|ofType| *5 (|NonNegativeInteger|)) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *8 (|DirectProductCategory| *6 *7)) (|ofCategory| *9 (|DirectProductCategory| *5 *7)) (|ofCategory| *10 (|DirectProductCategory| *6 *2)) (|ofCategory| *11 (|DirectProductCategory| *5 *2)) (|isDomain| *1 (|RectangularMatrixCategoryFunctions2| *5 *6 *7 *8 *9 *4 *2 *10 *11 *12)) (|ofCategory| *4 (|RectangularMatrixCategory| *5 *6 *7 *8 *9)) (|ofCategory| *12 (|RectangularMatrixCategory| *5 *6 *2 *10 *11)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|isDomain| *4 (|Stream| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|StreamFunctions2| *5 *2)))) ((*1 *2 *2 *1 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|isDomain| *4 (|Mapping| (|Boolean|) *2 *2)) (|ofCategory| *1 (|TriangularSetCategory| *5 *6 *7 *2)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *5 *6 *7)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|VectorFunctions2| *5 *2))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Vector| *1)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Vector| *1)) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *1 (|FramedAlgebra| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *3 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *11 *3 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Point| *4)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *1 *2) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Union| "nil" "sqfr" "irred" "prime")) (|isDomain| *1 (|Factored| *4)) (|ofCategory| *4 (|IntegralDomain|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|HomogeneousDistributedMultivariatePolynomial| *5 *6))) (|isDomain| *3 (|HomogeneousDistributedMultivariatePolynomial| *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|LinGroebnerPackage| *5 *6))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (|ofCategory| *3 (|DesingTreeCategory| *12))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Kernel| *1))) (|ofCategory| *1 (|ExpressionSpace|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|BinaryFile|)))) ((*1 *2 *1) (|partial| AND (|isDomain| *1 (|File| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *5 *6 *7 *8 *3)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *5 *6 *7 *8 *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *2 (|PolynomialCategory| *3 *5 (|OrderedVariableList| *4))) (|ofCategory| *5 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *6 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *7 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *8 (|PlacesCategory| *3 *7)) (|ofCategory| *9 (|DivisorCategory| *8)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *3 *4 *2 *5 *6 *7 *8 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *2 *5 *6 *7 *8 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *2) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *3)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|List| (|NewSparseUnivariatePolynomial| *3))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *4 *5 *6) (|partial| AND (|isDomain| *4 (|Mapping| *8 *8)) (|isDomain| *5 (|Mapping| (|Record| (|:| |ans| *7) (|:| |right| *7) (|:| |sol?| (|Boolean|))) (|Integer|) *7)) (|isDomain| *6 (|List| (|Fraction| *8))) (|ofCategory| *7 (|Field|)) (|ofCategory| *8 (|UnivariatePolynomialCategory| *7)) (|isDomain| *3 (|Fraction| *8)) (|isDomain| *2 (|Record| (|:| |answer| (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|:| |a0| *7))) (|isDomain| *1 (|TranscendentalIntegration| *7 *8))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|)))))) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteFieldFunctions| *4)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteFieldNormalBasis| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteFieldNormalBasisExtensionByPolynomial| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|Union| (|SparseUnivariatePolynomial| *3) (|Vector| (|List| (|Record| (|:| |value| *3) (|:| |index| (|SingleInteger|))))))))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteFieldNormalBasisExtension| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Table| (|StochasticDifferential| *3) (|StochasticDifferential| *3))) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Mapping| (|Boolean|) *5)) (|isDomain| *1 (|PatternFunctions1| *4 *5)) (|ofCategory| *5 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|)))) 
(((*1 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|Partition|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *1 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *1) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|PartitionsAndPermutations|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *1) (|isDomain| *1 (|Partition|))) ((*1 *1 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|ExpressionSpace|))) ((*1 *1 *1) (|ofCategory| *1 (|ExpressionSpace|)))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|PartialDifferentialEquationsSolverCategory|)) (|isDomain| *3 (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) (|isDomain| *2 (|Result|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *4 *5 *6 *3))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Mapping| (|List| *4) *4)) (|isDomain| *1 (|Bezier| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *1 (|PlacesCategory| *4 *5)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|LocalPowerSeriesCategory| *4)) (|isDomain| *2 (|Void|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Matrix| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|LazardSetSolvingPackage| *3 *4 *5 *6 *7 *2)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *2 (|SquareFreeRegularTriangularSetCategory| *3 *4 *5 *6))))) 
(((*1 *1 *2 *3) (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|isDomain| *1 (|CliffordAlgebra| *4 *2 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *2 (|Field|)) (|ofType| *5 (|QuadraticForm| *4 *2)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|ModuleMonomial| *5 *6 *7)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofType| *7 (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *6)) (|Record| (|:| |index| *5) (|:| |exponent| *6)))) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|GeneralModulePolynomial| *4 *2 *5 *6 *7 *8)) (|ofCategory| *8 (|PolynomialCategory| *2 *6 (|OrderedVariableList| *4))))) ((*1 *1 *2 *3) (AND (|ofCategory| *1 (|IndexedDirectProductCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|LaurentPolynomial| *2 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MonogenicLinearOperator| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *2 *3) (AND (|isDomain| *1 (|MonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|Monoid|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *5)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *2)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *6)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *2)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *6)) (|isDomain| *3 (|List| *5)) (|ofCategory| *1 (|PowerSeriesCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoid|)) (|ofCategory| *6 (|OrderedSet|)))) ((*1 *1 *1 *2 *3) (AND (|ofCategory| *1 (|PowerSeriesCategory| *4 *3 *2)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *8)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *8)) (|:| |neqzro| (|List| *8)) (|:| |wcond| (|List| (|Polynomial| *5))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *5)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *5)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8)) (|isDomain| *4 (|List| *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *8)) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *8)) (|:| |neqzro| (|List| *8)) (|:| |wcond| (|List| (|Polynomial| *5))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *5)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *5)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *7)) (|:| |neqzro| (|List| *7)) (|:| |wcond| (|List| (|Polynomial| *4))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *4)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *4)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Matrix| *9)) (|isDomain| *5 (|PositiveInteger|)) (|ofCategory| *9 (|PolynomialCategory| *6 *8 *7)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *9)) (|:| |neqzro| (|List| *9)) (|:| |wcond| (|List| (|Polynomial| *6))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *6)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *6)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *6 *7 *8 *9)) (|isDomain| *4 (|List| *9)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Matrix| *9)) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|PositiveInteger|)) (|ofCategory| *9 (|PolynomialCategory| *6 *8 *7)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *9)) (|:| |neqzro| (|List| *9)) (|:| |wcond| (|List| (|Polynomial| *6))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *6)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *6)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *6 *7 *8 *9)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *8)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *8)) (|:| |neqzro| (|List| *8)) (|:| |wcond| (|List| (|Polynomial| *5))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *5)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *5)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Matrix| *9)) (|isDomain| *4 (|List| *9)) (|isDomain| *5 (|String|)) (|ofCategory| *9 (|PolynomialCategory| *6 *8 *7)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ParametricLinearEquations| *6 *7 *8 *9)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Matrix| *9)) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|String|)) (|ofCategory| *9 (|PolynomialCategory| *6 *8 *7)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ParametricLinearEquations| *6 *7 *8 *9)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *8)) (|isDomain| *4 (|String|)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Matrix| *10)) (|isDomain| *4 (|List| *10)) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *6 (|String|)) (|ofCategory| *10 (|PolynomialCategory| *7 *9 *8)) (|ofCategory| *7 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *8 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *9 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ParametricLinearEquations| *7 *8 *9 *10)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Matrix| *10)) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *6 (|String|)) (|ofCategory| *10 (|PolynomialCategory| *7 *9 *8)) (|ofCategory| *7 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *8 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *9 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ParametricLinearEquations| *7 *8 *9 *10)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Matrix| *9)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *5 (|String|)) (|ofCategory| *9 (|PolynomialCategory| *6 *8 *7)) (|ofCategory| *6 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ParametricLinearEquations| *6 *7 *8 *9))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Vector| (|NonNegativeInteger|))) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3 *3 *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|BalancedBinaryTree| *3)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|isDomain| *1 (|BalancedBinaryTree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Partition|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| (|Union| (|Record| (|:| |ratpart| *4) (|:| |coeff| *4)) "failed") *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|TranscendentalIntegration| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|EuclideanDomain|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *1 *1 *2 *1) (AND (|ofCategory| *1 (|BinaryTreeCategory| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *3 *4 *3 *5 *5) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|List| (|PrimitiveArray| *5))) (|isDomain| *1 (|BlasLevelOne|)) (|isDomain| *4 (|PrimitiveArray| *5))))) 
(((*1 *2 *3 *4 *3 *3) (AND (|isDomain| *3 (|Equation| *6)) (|isDomain| *4 (|BasicOperator|)) (|ofCategory| *6 (|FunctionSpace| *5)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *5 *6)))) ((*1 *2 *3 *4 *3 *5) (AND (|isDomain| *3 (|Equation| *7)) (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|List| *7)) (|ofCategory| *7 (|FunctionSpace| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *6 *7)))) ((*1 *2 *3 *4 *5 *3) (AND (|isDomain| *3 (|List| (|Equation| *7))) (|isDomain| *4 (|List| (|BasicOperator|))) (|isDomain| *5 (|Equation| *7)) (|ofCategory| *7 (|FunctionSpace| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *6 *7)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|List| (|Equation| *8))) (|isDomain| *4 (|List| (|BasicOperator|))) (|isDomain| *5 (|Equation| *8)) (|isDomain| *6 (|List| *8)) (|ofCategory| *8 (|FunctionSpace| *7)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *7 *8)))) ((*1 *2 *3 *4 *5 *3) (AND (|isDomain| *3 (|List| *7)) (|isDomain| *4 (|List| (|BasicOperator|))) (|isDomain| *5 (|Equation| *7)) (|ofCategory| *7 (|FunctionSpace| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *6 *7)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| (|BasicOperator|))) (|isDomain| *6 (|List| (|Equation| *8))) (|ofCategory| *8 (|FunctionSpace| *7)) (|isDomain| *5 (|Equation| *8)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *7 *8)))) ((*1 *2 *3 *4 *3 *5) (AND (|isDomain| *3 (|Equation| *5)) (|isDomain| *4 (|BasicOperator|)) (|ofCategory| *5 (|FunctionSpace| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *6 *5)))) ((*1 *2 *3 *4 *5 *3) (AND (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|Equation| *3)) (|ofCategory| *3 (|FunctionSpace| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *6 *3)))) ((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|Equation| *3)) (|ofCategory| *3 (|FunctionSpace| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *6 *3)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|Equation| *3)) (|isDomain| *6 (|List| *3)) (|ofCategory| *3 (|FunctionSpace| *7)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|ExpressionSpaceODESolver| *7 *3)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|BasicOperator|)) (|isDomain| *5 (|Symbol|)) (|isDomain| *6 (|List| *3)) (|ofCategory| *3 (|FunctionSpace| *7)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ExpressionSolve| *7 *3 *2 *8)) (|ofCategory| *8 (|UnivariateTaylorSeriesCategory| (|SparseUnivariatePolynomialExpressions| *3))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *6 *6)) (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|UnivariateTaylorSeriesCategory| (|SparseUnivariatePolynomialExpressions| *5))) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *5)) (|isDomain| *1 (|TaylorSolve| *5 *2 *6))))) 
(((*1 *2 *3 *4 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *2 (|List| (|PrimitiveArray| (|DoubleFloat|)))) (|isDomain| *1 (|BlasLevelOne|)) (|isDomain| *4 (|PrimitiveArray| (|DoubleFloat|)))))) 
(((*1 *1 *1 *1) (|partial| |ofCategory| *1 (|CancellationAbelianMonoid|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Kernel| *5)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *4 (|RetractableTo| (|Integer|))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|SparseUnivariatePolynomial| *5)) (|isDomain| *1 (|AlgebraicFunction| *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Kernel| *1)) (|ofCategory| *1 (|Ring|)) (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *1))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| (|Fraction| *3))) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|RetractableTo| (|Fraction| *2)))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|BoundIntegerRoots| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Record| (|:| |k| *4) (|:| |c| *3)))))) 
(((*1 *1) (|isDomain| *1 (|TwoDimensionalViewport|)))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |coef| (|Fraction| *5)) (|:| |poly| *3))) (|isDomain| *1 (|ChangeOfVariable| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *5)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |mval| (|Matrix| *3)) (|:| |invmval| (|Matrix| *3)) (|:| |genIdeal| (|PolynomialIdeals| *3 *4 *5 *6)))) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DoubleFloat|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|PrimitiveArray| (|SingleInteger|))) (|isDomain| *1 (|FiniteFieldFunctions| *4))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *1 (|BlowUpPackage| *4 *5 *2 *6 *3)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *6)) (|ofCategory| *3 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|Point| *3))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|IntegralBasisTools| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|IntegralBasisTools| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerRoots| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|TrigonometricFunctionCategory|)))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *2 *2) (AND (|isDomain| *2 (|List| (|HomogeneousDistributedMultivariatePolynomial| *4 *5))) (|isDomain| *3 (|OrderedVariableList| *4)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *1 (|LinGroebnerPackage| *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SplittingTree| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| *8) (|:| |order| (|NonNegativeInteger|)))) (|List| *6) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|Field|)) (|ofType| *11 (|Mapping| *8 *6)) (|ofCategory| *9 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *10 (|Mapping| *6 *9)) (|isDomain| *2 (|List| (|Record| (|:| |function| *8) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *6 *7 *8 *9 *10 *11)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *9) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| *9) (|:| |order| (|NonNegativeInteger|)))) (|List| *7) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|Field|)) (|ofType| *12 (|Mapping| *9 *7)) (|ofCategory| *10 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *11 (|Mapping| *7 *10)) (|isDomain| *2 (|List| (|Record| (|:| |function| *9) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *7 *8 *9 *10 *11 *12)) (|ofCategory| *8 (|GcdDomain|)) (|ofCategory| *9 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *10) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *6) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *6)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *7) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *7)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *6 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *6 (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *6 (|Integer|))))) (|ofType| *6 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *6 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *6)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *7 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *7 (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *7 (|Integer|))))) (|ofType| *7 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *7 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *7))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|ODEIntegration| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedFunctionSpace| *4) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|isDomain| *2 (|List| (|Vector| *5))) (|isDomain| *1 (|InterpolateFormsPackage| *5 *6 *7 *8 *9 *10 *11 *3)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *3 (|DivisorCategory| *11))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Fraction| (|Polynomial| *4))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Matrix| (|Fraction| (|Polynomial| *4)))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Fraction| (|Polynomial| *4)))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|GraphImage|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *3 (|PartialDifferentialRing| *5)) (|isDomain| *2 (|Matrix| *3)) (|isDomain| *1 (|MultiVariableCalculusFunctions| *5 *3 *6 *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *3)) (|ofCategory| *4 (|Join| (|FiniteLinearAggregate| *5) (CATEGORY |package| (ATTRIBUTE |finiteAggregate|))))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2) (|:| |xpnt| (|Integer|))))) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|Factored| *2)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| *4) (|:| |pow| (|Integer|))))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|Factored| *4)) (|isDomain| *1 (|GaloisGroupFactorizer| *4))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *1 (|FloatingPointSystem|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|FloatingPointSystem|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *2 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |outval| *4) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| *4)))))) (|isDomain| *1 (|NumericRealEigenPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|CharacterClass|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Vector| *4)) (|ofCategory| *4 (|Type|)) (|ofCategory| *1 (|DirectProductCategory| *3 *4))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|IndexedBits| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Equation| (|Polynomial| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|)))))) (|isDomain| *1 (|DiophantineSolutionPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Character|))) (|isDomain| *1 (|CharacterClass|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|CharacterClass|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Automorphism| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *5 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *5))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *1 (|RewriteRule| *3 *4 *2)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))))) ((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|SuchThat| *2 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MultivariateSquareFree| *5 *4 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *6 *5 *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|PrimitiveArray| (|SparseUnivariatePolynomial| *4))) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| *6) *6 (|Symbol|))) (|:| A (|Mapping| *5 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *5))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| *6 (|NonNegativeInteger|) (|Symbol|) *6)) (|:| C (|Mapping| (|List| *5) (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| *6) *6 *3)) (|:| A (|Mapping| *5 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *5))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| *6 (|NonNegativeInteger|) *3 *6)) (|:| C (|Mapping| (|List| *5) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *5 (|RetractableTo| *3)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| *3) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| *3) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofType| *9 (|Mapping| *6 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|AlgebraicNumber|))) (|UnivariateFormalPowerSeries| (|AlgebraicNumber|)))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|AlgebraicNumber|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|AlgebraicNumber|)) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|ofCategory| (|AlgebraicNumber|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|AlgebraicNumber|))) (|UnivariateFormalPowerSeries| (|AlgebraicNumber|)))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| (|AlgebraicNumber|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|AlgebraicNumber|)) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| *4 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *4))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| *4) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| *4 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *4))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| *4) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)) (|ofCategory| *4 (|RetractableTo| *3)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|)))) (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|Integer|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Integer|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Integer|)) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Integer|)) (|RetractableTo| *3)) (|ofCategory| (|Integer|) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|)))) (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| (|Integer|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Integer|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Integer|)) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|))))) (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|)))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|Polynomial| (|Integer|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Polynomial| (|Integer|))))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Polynomial| (|Integer|))) (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|ofCategory| (|Fraction| (|Polynomial| (|Integer|))) (|RetractableTo| *3)) (|ofCategory| (|Polynomial| (|Integer|)) (|RetractableTo| *3)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|))))) (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|)))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) *3)) (|:| A (|Mapping| (|Polynomial| (|Integer|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Polynomial| (|Integer|))))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) *3 (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Polynomial| (|Integer|))) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 HPSPEC) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 (|Symbol|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| HPSPEC (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2) (AND (|isDomain| *2 (|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *3) (|Finite|)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|AbelianMonoid|)) (|isDomain| *1 (|EuclideanModularRing| *3 *4 *2 *5 *6 *7)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofType| *5 (|Mapping| *4 *4 *2)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2)) (|ofType| *7 (|Mapping| (|Union| *4 "failed") *4 *4 *2)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|AbelianMonoid|)) (|isDomain| *1 (|ModularField| *3 *2 *4 *5 *6)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|Mapping| *3 *3 *2)) (|ofType| *5 (|Mapping| (|Union| *2 "failed") *2 *2)) (|ofType| *6 (|Mapping| (|Union| *3 "failed") *3 *3 *2)))) ((*1 *2) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|AbelianMonoid|)) (|isDomain| *1 (|ModularRing| *3 *2 *4 *5 *6)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|Mapping| *3 *3 *2)) (|ofType| *5 (|Mapping| (|Union| *2 "failed") *2 *2)) (|ofType| *6 (|Mapping| (|Union| *3 "failed") *3 *3 *2)))) ((*1 *2) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (|ofCategory| *3 (|DesingTreeCategory| *12))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| (|DoubleFloat|))) (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|AxiomServer|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Database| (|IndexCard|))) (|isDomain| *1 (|OperationsQuery|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (|isDomain| *1 (|IntegrationFunctionsTable|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|List| *4))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (|partial| AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Record| (|:| |particular| *1) (|:| |basis| (|List| *1)))) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)))) ((*1 *2) (|partial| AND (|isDomain| *2 (|Record| (|:| |particular| (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|:| |basis| (|List| (|GenericNonAssociativeAlgebra| *3 *4 *5 *6))))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|CombinatorialFunctionCategory|))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *3 *4) (AND (|isDomain| *4 |RationalNumber|) (|isDomain| *2 (|Mapping| (|Integer|))) (|isDomain| *1 (|RandomIntegerDistributions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3 *3) (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Boolean|) *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *3))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *3)))) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SplittingTree| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|List| (|List| (|List| *5)))) (|isDomain| *3 (|Mapping| (|Boolean|) *5 *5)) (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|TableauxBumpers| *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Record| (|:| |close| (|List| *6)) (|:| |open| (|List| *6))))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *2)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|))))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 (|NonNegativeInteger|) *2)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|MappingPackageInternalHacks1| *2)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Mapping| *3 (|NonNegativeInteger|) *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|MappingPackage1| *3))))) 
(((*1 *1 *1 *1 *2) (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |stiffnessFactor| (|Float|)) (|:| |stabilityFactor| (|Float|)))) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|InfiniteTuple| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *3 *2)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|Tuple| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|SmithNormalForm| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4 *2 *2 *2 *5) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *5 (|List| *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *6) (|AbelianMonoid|) (|RetractableTo| (|Integer|)) (|RetractableTo| *4) (|PartialDifferentialRing| *4) (|CombinatorialOpsCategory|))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *1 (|RecurrenceOperator| *6 *2))))) 
(((*1 *2 *1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|String|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OneDimensionalArray| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|OneDimensionalArray| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|DataList| *3))))) 
(((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|List| *8)) (|isDomain| *3 (|Mapping| (|Boolean|) *8 *8)) (|isDomain| *4 (|Mapping| *8 *8 *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *5 *6 *7 *8))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|RegularChain| *4 *5)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *4)) (|:| |coordinates| (|List| (|Polynomial| *4)))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *6 (|List| (|Symbol|))))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5)) (|:| |coordinates| (|List| (|Polynomial| *5)))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|isDomain| *3 (|List| (|Polynomial| *5))) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5)) (|:| |coordinates| (|List| (|Polynomial| *5)))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|isDomain| *3 (|List| (|Polynomial| *5))) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5)) (|:| |coordinates| (|List| (|Polynomial| *5)))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|isDomain| *3 (|List| (|Polynomial| *5))) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *4)) (|:| |coordinates| (|List| (|Polynomial| *4)))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|)))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |resultant| *3) (|:| |coef2| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *7 (|List| *7))) (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|Point| *3))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|ofCategory| *1 (|NonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Record| (|:| |lcmfij| *5) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *7) (|:| |polj| *7))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|AffinePlane| *3)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |%expansion| (|ExponentialExpansion| *5 *3 *6 *7)) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|)))))) (|isDomain| *1 (|FunctionSpaceToExponentialExpansion| *5 *3 *6 *7)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofType| *6 (|Symbol|)) (|ofType| *7 *3)))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|OpenMathEncoding|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| (|SparseUnivariatePolynomial| (|Polynomial| *4)) (|Polynomial| *4))) (|isDomain| *1 (|WeierstrassPreparation| *4)) (|ofCategory| *4 (|Field|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|))))) 
(((*1 *2 *3 *4 *5 *5 *6) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|)))) ((*1 *2 *3 *4 *5 *5 *6 *3 *3 *3 *3) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *4 *5 *3 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *4 *5 *3)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| (|Point| *4))) (|ofCategory| *1 (|ThreeSpaceCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|)) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *2)) (|Record| (|:| |index| *5) (|:| |exponent| *2)))) (|ofCategory| *2 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *5 *2 *6 *7)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *2 (|OrderedVariableList| *3)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SubSpace| 3 *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|))))) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IdealDecompositionPackage| *4 *5))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1 *1) (|ofCategory| *1 (|OrderedAbelianMonoidSup|)))) 
(((*1 *2 *3 *4 *5 *6) (|partial| AND (|isDomain| *4 (|Mapping| *8 *8)) (|isDomain| *5 (|Mapping| (|Union| (|Record| (|:| |ratpart| *7) (|:| |coeff| *7)) "failed") *7)) (|isDomain| *6 (|List| (|Fraction| *8))) (|ofCategory| *7 (|Field|)) (|ofCategory| *8 (|UnivariatePolynomialCategory| *7)) (|isDomain| *3 (|Fraction| *8)) (|isDomain| *2 (|Record| (|:| |answer| (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|:| |a0| *7))) (|isDomain| *1 (|TranscendentalIntegration| *7 *8))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BalancedBinaryTree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Mapping| (|SparseMultivariateTaylorSeries| *4 *3 *5))) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *4 *3 *5)) (|ofCategory| *5 (|PolynomialCategory| *4 (|IndexedExponents| *3) *3)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Mapping| (|TaylorSeries| *4))) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|TaylorSeries| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|EuclideanDomain|)))) ((*1 *2 *1 *1) (|partial| AND (|isDomain| *2 (|Record| (|:| |lm| (|FreeMonoid| *3)) (|:| |rm| (|FreeMonoid| *3)))) (|isDomain| *1 (|FreeMonoid| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |quotient| (|NonNegativeInteger|)) (|:| |remainder| (|NonNegativeInteger|)))) (|isDomain| *1 (|NonNegativeInteger|)))) ((*1 *2 *1 *1) (|partial| AND (|isDomain| *2 (|Record| (|:| |lm| (|Union| (|OrderedFreeMonoid| *3) "failed")) (|:| |rm| (|Union| (|OrderedFreeMonoid| *3) "failed")))) (|isDomain| *1 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
(((*1 *2 *3 *1 *4 *4 *4 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|RegularTriangularSet| *5 *6 *7 *3))) (|isDomain| *1 (|RegularTriangularSet| *5 *6 *7 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *1 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *2 *3 *1 *4 *4 *4 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *5 *6 *7 *3))) (|isDomain| *1 (|SquareFreeRegularTriangularSet| *5 *6 *7 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7))))) 
(((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *1 (|ComplexTrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *3)))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *4)))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|TrigonometricManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|TrigonometricManipulations| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Matrix| *6))) (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Integer|)) (|isDomain| *2 (|Matrix| *6)) (|isDomain| *1 (|RepresentationPackage2| *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *6 (|Ring|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|RepresentationPackage2| *4)) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Ring|)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|List| (|Matrix| *5))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|RepresentationPackage2| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2) (AND (|isDomain| *2 (|Stack| (|String|))) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *3)) (|ofCategory| *3 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OrderedRing|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|CancellationAbelianMonoid|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Matrix| *3))) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Pattern| *4)) (|isDomain| *3 (|Mapping| (|Boolean|) *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Type|)) (|isDomain| *1 (|PatternFunctions1| *4 *5)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Pattern| *4)) (|isDomain| *3 (|List| (|Mapping| (|Boolean|) *5))) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Type|)) (|isDomain| *1 (|PatternFunctions1| *4 *5)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|Pattern| *5)) (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *4 (|Mapping| (|Boolean|) (|List| *6))) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Type|)) (|isDomain| *1 (|PatternFunctions1| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Mapping| (|Boolean|) *5)) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|AttachPredicates| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|List| (|Mapping| (|Boolean|) *5))) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|AttachPredicates| *5)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAttachPredicates| *4 *2 *5)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Mapping| (|Boolean|) *5))) (|ofCategory| *5 (|Type|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAttachPredicates| *4 *2 *5)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|Mapping| (|Boolean|) (|List| *6))) (|ofCategory| *6 (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4) (|ConvertibleTo| (|Pattern| *4)))) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Join| (|Ring|) (|PatternMatchable| *4) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *4)))) (|isDomain| *1 (|RewriteRule| *4 *5 *6))))) 
(((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|MonadWithUnit|)))) 
(((*1 *2 *2 *3 *4) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|OrderedVariableList| *5))) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| *5 *6))) (|:| |coords| (|List| (|Integer|))))) (|isDomain| *1 (|GroebnerSolve| *5 *6 *7)) (|isDomain| *3 (|List| (|DistributedMultivariatePolynomial| *5 *6))) (|ofCategory| *7 (|GcdDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|PAdicIntegerCategory| *2)))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|LyndonWord| *3)) (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|isDomain| *1 (|IncrementingMaps| *3)) (|ofCategory| *3 (|Join| (|Monoid|) (|AbelianSemiGroup|)))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4)))) (|isDomain| *1 (|NormalizationPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3 *3)) (|ofCategory| *1 (|FiniteLinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|PriorityQueueAggregate| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|SubSpace| *3 *4))) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DoubleFloat|)))) ((*1 *1 *1 *1) (OR (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Type|))) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Group|)) (|ofCategory| *2 (|Type|))))) ((*1 *1 *1 *1) (|ofCategory| *1 (|Field|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Float|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|SparseMultivariatePolynomial| *3 (|Kernel| *1))) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *3)))) ((*1 *1 *1 *1) (|isDomain| *1 (|InputForm|))) ((*1 *1 *2 *3) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *1 (|LocalAlgebra| *2 *4 *3)) (|ofCategory| *2 (|Algebra| *4)) (|ofCategory| *3 (|SubsetCategory| (|Monoid|) *4)))) ((*1 *1 *1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *1 (|LocalAlgebra| *3 *4 *2)) (|ofCategory| *3 (|Algebra| *4)) (|ofCategory| *2 (|SubsetCategory| (|Monoid|) *4)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|LieAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *2 *3) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *1 (|Localize| *2 *4 *3)) (|ofCategory| *2 (|Module| *4)) (|ofCategory| *3 (|SubsetCategory| (|Monoid|) *4)))) ((*1 *1 *1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *1 (|Localize| *3 *4 *2)) (|ofCategory| *3 (|Module| *4)) (|ofCategory| *2 (|SubsetCategory| (|Monoid|) *4)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Mapping| (|Expression| (|Integer|)) *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|MappingPackage4| *3 *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|MyExpression| *2 *3)) (|ofType| *2 (|Symbol|)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|OrdinaryWeightedPolynomials| *2 *3 *4 *5)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|List| (|NonNegativeInteger|))) (|ofType| *5 (|NonNegativeInteger|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *2) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *2 *5 *6)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *4 *2)) (|ofCategory| *6 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Expression| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|StochasticDifferential| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|VectorSpace| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *1) (|partial| AND (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofType| *6 (|List| *3)) (|isDomain| *1 (|WeightedPolynomials| *2 *3 *4 *5 *6 *7 *8)) (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3)) (|ofType| *7 (|List| (|NonNegativeInteger|))) (|ofType| *8 (|NonNegativeInteger|)))) ((*1 *1 *1 *2) (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *3 *4) (|partial| AND (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *2 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *4 (|PlacesCategory| *2 *8)) (|ofCategory| *9 (|DivisorCategory| *4)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *2 *5 *3 *6 *7 *8 *4 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *2 *5 *3 *6 *7 *8 *4 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3 *3 *4) (|partial| AND (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *2 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *4 (|PlacesCategory| *2 *8)) (|ofCategory| *9 (|DivisorCategory| *4)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *2 *5 *3 *6 *7 *8 *4 *9 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *2 *5 *3 *6 *7 *8 *4 *9 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Fraction| *6)) (|ofCategory| *6 (|PolynomialCategory| *2 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *4 (|PlacesCategory| *2 *9)) (|ofCategory| *10 (|DivisorCategory| *4)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *2 *5 *6 *7 *8 *9 *4 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *2 *5 *6 *7 *8 *9 *4 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|Places| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *3 *4) (|partial| AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|Places| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Fraction| (|DistributedMultivariatePolynomial| *5 *2))) (|isDomain| *4 (|Places| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|Field|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteFieldCategory|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *3 *4) (|partial| AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *2)) (|isDomain| *4 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteFieldCategory|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Fraction| (|DistributedMultivariatePolynomial| *5 *2))) (|isDomain| *4 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *2)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteFieldCategory|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *2 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DisplayPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *2 *1) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *2) (|:| |exponent| *5)) (|Record| (|:| |index| *2) (|:| |exponent| *5)))) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *2 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 (|OrderedVariableList| *3)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4 *5 *6 *5 *3 *7) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Record| (|:| |try| (|Float|)) (|:| |did| (|Float|)) (|:| |next| (|Float|)))) (|isDomain| *7 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|)))) ((*1 *2 *3 *4 *5 *6 *5 *3 *7 *3 *3 *3 *3 *3 *3 *3) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Record| (|:| |try| (|Float|)) (|:| |did| (|Float|)) (|:| |next| (|Float|)))) (|isDomain| *7 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|Record| (|:| |height| (|Integer|)) (|:| |base| (|Integer|)) (|:| |quotient| (|Integer|)) (|:| |reste| (|Integer|)) (|:| |type| (|Union| "left" "center" "right" "vertical" "horizontal")))) (|isDomain| *1 (|NewtonPolygon| *4 *3 *5 *6)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *5 (|FiniteAbelianMonoidRing| *4 *6)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |height| (|Integer|)) (|:| |base| (|Integer|)) (|:| |quotient| (|Integer|)) (|:| |reste| (|Integer|)) (|:| |type| (|Union| "left" "center" "right" "vertical" "horizontal")))) (|isDomain| *1 (|NewtonPolygon| *4 *5 *6 *7))))) 
(((*1 *2 *1 *1 *1) (|partial| AND (|isDomain| *2 (|Record| (|:| |coef1| *1) (|:| |coef2| *1))) (|ofCategory| *1 (|EuclideanDomain|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |coef1| *1) (|:| |coef2| *1) (|:| |generator| *1))) (|ofCategory| *1 (|EuclideanDomain|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|isDomain| *2 (|List| *8)) (|isDomain| *1 (|AffineAlgebraicSetComputeWithGroebnerBasis| *5 *6 *3 *7 *8)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *5 *6 *3 *7 *8)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|)) (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6))))) 
(((*1 *2 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Type|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1) (|isDomain| *1 (|SubSpaceComponentProperty|))) ((*1 *1 *2 *2 *2) (AND (|isDomain| *2 (|String|)) (|ofCategory| *1 (|FileNameCategory|)))) ((*1 *1) (|isDomain| *1 (|ScriptFormulaFormat|))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|PatternMatchListResult| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *4 (|ListAggregate| *3)))) ((*1 *1) (AND (|isDomain| *1 (|PatternMatchResult| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1) (|isDomain| *1 (|Symbol|))) ((*1 *1) (|isDomain| *1 (|Symbol|))) ((*1 *1) (|isDomain| *1 (|TexFormat|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |points| (|NonNegativeInteger|)) (|:| |curves| (|NonNegativeInteger|)) (|:| |polygons| (|NonNegativeInteger|)) (|:| |constructs| (|NonNegativeInteger|))))))) 
(((*1 *1) (|isDomain| *1 (|Color|)))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|CancellationAbelianMonoid|)) (|ofCategory| *3 (|OrderedAbelianMonoid|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Vector| *5)) (|ofCategory| *5 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderingFunctions| *4 *5)) (|ofType| *4 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4 *5 *3) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|Mapping| (|Record| (|:| |ans| *6) (|:| |right| *6) (|:| |sol?| (|Boolean|))) (|Integer|) *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|Union| (|Record| (|:| |answer| (|Fraction| *7)) (|:| |a0| *6)) (|Record| (|:| |ratpart| (|Fraction| *7)) (|:| |coeff| (|Fraction| *7))) "failed")) (|isDomain| *1 (|TranscendentalIntegration| *6 *7)) (|isDomain| *3 (|Fraction| *7))))) 
(((*1 *2 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|FunctionSpace| *4)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FunctionSpaceUnivariatePolynomialFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|String|)) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *3 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|IntegerFactorizationPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *6 *4 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Factored| *1)) (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|PolynomialSquareFree| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *6 *5 *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|Fraction| *7)))) (|isDomain| *1 (|SupFractionFactorizer| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| (|Fraction| *7))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Factored| *1)) (|ofCategory| *1 (|UniqueFactorizationDomain|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|UnivariatePolynomialSquareFree| *4 *3)) (|ofCategory| *3 (|Join| (|UnivariatePolynomialCategory| *4) (|IntegralDomain|) (CATEGORY |domain| (SIGNATURE |gcd| ($ $ $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|RegularChain| *4 *5)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *4 (|IndexedExponents| (|OrderedVariableList| *6)) (|OrderedVariableList| *6) (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6))))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *6 (|List| (|Symbol|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MonogenicLinearOperator| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3))))) 
(((*1 *2 *3 *4 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| *7)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|BasicOperatorFunctions1| *2))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| *3 *4 *5)) (|isDomain| *2 (|Record| (|:| |id| (|FractionalIdeal| *4 (|Fraction| *4) *5 *6)) (|:| |principalPart| *6))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *6 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |poly| *6) (|:| |normal| (|Fraction| *6)) (|:| |special| (|Fraction| *6)))) (|isDomain| *1 (|MonomialExtensionTools| *5 *6)) (|isDomain| *3 (|Fraction| *6)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialDecomposition| *3 *4)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *4 *4) (|partial| AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |left| *3) (|:| |right| *3))) (|isDomain| *1 (|PolynomialDecomposition| *3 *5)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))) ((*1 *2 *3 *2 *4 *4) (AND (|isDomain| *2 (|List| *9)) (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *2 *4 *4 *4 *4 *4) (AND (|isDomain| *2 (|List| *9)) (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *2 *4 *4) (AND (|isDomain| *2 (|List| *9)) (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *2 *4 *4 *4 *4 *4) (AND (|isDomain| *2 (|List| *9)) (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Vector| *3)) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MonadWithUnit|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|Monoid|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|PointsOfFiniteOrderTools| *4 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|OpenMathErrorKind|)) (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *1 (|OpenMathError|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|HexadecimalExpansion|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *3) (|Finite|)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DoubleFloat|))))) 
(((*1 *1 *1 *2 *1) (AND (|isDomain| *1 (|BinaryTree| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|BinaryTree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |coef| *3) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| (|NewSparseUnivariatePolynomial| *3)) (|:| |remainder| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Union| (|:| |Null| "null") (|:| |Assignment| "assignment") (|:| |Conditional| "conditional") (|:| |Return| "return") (|:| |Block| "block") (|:| |Comment| "comment") (|:| |Call| "call") (|:| |For| "for") (|:| |While| "while") (|:| |Repeat| "repeat") (|:| |Goto| "goto") (|:| |Continue| "continue") (|:| |ArrayAssignment| "arrayAssignment") (|:| |Save| "save") (|:| |Stop| "stop") (|:| |Common| "common") (|:| |Print| "print"))) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Record| (|:| |high| (|List| (|Symbol|))) (|:| |low| (|List| (|Symbol|))))) (|isDomain| *1 (|UserDefinedVariableOrdering|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| *8)) (|isDomain| *1 (|ProjectiveAlgebraicSetPackage| *5 *6 *3 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|PrimitiveArray| (|SingleInteger|))) (|isDomain| *1 (|FiniteFieldCyclicGroup| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *2) (AND (|isDomain| *2 (|PrimitiveArray| (|SingleInteger|))) (|isDomain| *1 (|FiniteFieldCyclicGroupExtensionByPolynomial| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|SparseUnivariatePolynomial| *3)))) ((*1 *2) (AND (|isDomain| *2 (|PrimitiveArray| (|SingleInteger|))) (|isDomain| *1 (|FiniteFieldCyclicGroupExtension| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| *6) *6 (|Symbol|))) (|:| A (|Mapping| *5 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *5))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| *6 (|NonNegativeInteger|) (|Symbol|) *6)) (|:| C (|Mapping| (|List| *5) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|ofType| *9 (|Mapping| *6 *4)) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|AlgebraicNumber|))) (|UnivariateFormalPowerSeries| (|AlgebraicNumber|)))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|AlgebraicNumber|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|AlgebraicNumber|)) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| *4)) (|UnivariateFormalPowerSeries| *4))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| *4 (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| *4))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| *4) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| *4)))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| *4) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *4) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|)))) (|UnivariateFormalPowerSeries| (|Fraction| (|Integer|))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|Integer|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Integer|)))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Integer|)) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|))))) (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|)))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| |exprStream| (|Mapping| (|Stream| (|Expression| (|Integer|))) (|Expression| (|Integer|)) (|Symbol|))) (|:| A (|Mapping| (|Polynomial| (|Integer|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| (|Polynomial| (|Integer|))))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|)))) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| (|Integer|))))))) (|:| AX (|Mapping| (|Expression| (|Integer|)) (|NonNegativeInteger|) (|Symbol|) (|Expression| (|Integer|)))) (|:| C (|Mapping| (|List| (|Polynomial| (|Integer|))) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| HPSPEC (|List| (|GuessOption|)))) (|isDomain| *2 (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|)))) (|List| (|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 (|Symbol|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Plot|)) (|isDomain| *2 (|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|))))) (|isDomain| *1 (|TwoDimensionalPlotClipping|)))) ((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Plot|)) (|isDomain| *4 (|Fraction| (|Integer|))) (|isDomain| *2 (|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|))))) (|isDomain| *1 (|TwoDimensionalPlotClipping|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|))))) (|isDomain| *1 (|TwoDimensionalPlotClipping|)) (|isDomain| *3 (|List| (|Point| (|DoubleFloat|)))))) ((*1 *2 *3) (AND (|isDomain| *2 (|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|))))) (|isDomain| *1 (|TwoDimensionalPlotClipping|)) (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FourierComponent| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|BinaryExpansion|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|InputForm|))) (|isDomain| *1 (|InputForm|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|LinearlyExplicitRingOver| (|Integer|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerLinearDependence| *4))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|CancellationAbelianMonoid|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|FreeGroup| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|FreeMonoid| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *1 (|HeuGcd| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| (|Record| (|:| |k| *4) (|:| |c| *3)))))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |k| (|PoincareBirkhoffWittLyndonBasis| *3)) (|:| |c| *4)))) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *5 (|PositiveInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|LyndonWord| *3))) (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| *4)))) (|isDomain| *1 (|PatternMatchResult| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PatternMatchAssertions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAssertions| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *1 *2 *3 *1) (AND (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *3)) (|Record| (|:| |index| *5) (|:| |exponent| *3)))) (|isDomain| *1 (|GeneralModulePolynomial| *4 *2 *5 *3 *6 *7)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *2 *3 (|OrderedVariableList| *4)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| *4) (|:| |xpnt| (|Integer|)))) (|ofCategory| *4 (|Join| (|UnivariatePolynomialCategory| *3) (|IntegralDomain|) (CATEGORY |domain| (SIGNATURE |gcd| ($ $ $))))) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|UnivariatePolynomialSquareFree| *3 *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|AffineSpaceCategory| *4)) (|ofCategory| *4 (|Field|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *4 (|Field|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|d03AgentsPackage|)) (|isDomain| *3 (|Symbol|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|e04AgentsPackage|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|LieExponentials| *3 *4 *5)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Join| (|CommutativeRing|) (|Module| (|Fraction| (|Integer|))))) (|ofType| *5 (|PositiveInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Magma| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6))) (|isDomain| *4 (|Fraction| *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|RationalLODE| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |basis| (|List| (|Fraction| *6))) (|:| |mat| (|Matrix| *5)))) (|isDomain| *1 (|RationalLODE| *5 *6)) (|isDomain| *4 (|List| (|Fraction| *6))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6))) (|isDomain| *4 (|Fraction| *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|RationalLODE| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |basis| (|List| (|Fraction| *6))) (|:| |mat| (|Matrix| *5)))) (|isDomain| *1 (|RationalLODE| *5 *6)) (|isDomain| *4 (|List| (|Fraction| *6)))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Point| *4))) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TextFile|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *8))))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|CharacteristicZero|)) (|ofCategory| *2 (|EuclideanDomain|)) (|ofCategory| *2 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|AlgebraicNumber|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|SimplifyAlgebraicNumberConvertPackage|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |resultant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *4 *3 *5 *3) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorizationWithSizeParseBySideEffect| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|FunctionFieldIntegralBasis| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|NumberFieldIntegralBasis| *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|PAdicWildFunctionFieldIntegralBasis| *4 *3 *5 *6)) (|ofCategory| *6 (|MonogenicAlgebra| *3 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|WildFunctionFieldIntegralBasis| *4 *3 *5 *6)) (|ofCategory| *6 (|FramedAlgebra| *3 *5))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1) (|ofCategory| *1 (|HyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Matrix| (|Fraction| *4)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *2 (|Vector| (|MachineFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|List| (|RewriteRule| *4 *5 *2))) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|Join| (|Ring|) (|PatternMatchable| *4) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *4)))) (|ofCategory| *2 (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4) (|ConvertibleTo| (|Pattern| *4)))) (|isDomain| *1 (|ApplyRules| *4 *5 *2)))) ((*1 *2 *3 *2 *4) (AND (|isDomain| *3 (|List| (|RewriteRule| *5 *6 *2))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Join| (|Ring|) (|PatternMatchable| *5) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *5)))) (|ofCategory| *2 (|Join| (|FunctionSpace| *6) (|PatternMatchable| *5) (|ConvertibleTo| (|Pattern| *5)))) (|isDomain| *1 (|ApplyRules| *5 *6 *2))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2 *3 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|FunctionSpaceComplexIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|IntegrationResult| (|Fraction| (|Polynomial| *5)))) (|isDomain| *1 (|RationalFunctionIntegration| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5)))))) 
(((*1 *2) (AND (|ofType| *4 *2) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DirectProductCategory&| *3 *4 *5)) (|ofCategory| *3 (|DirectProductCategory| *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|CancellationAbelianMonoid|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteAlgebraicExtensionField&| *3 *4)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FreeGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2) (AND (|ofCategory| *1 (|Finite|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FreeMonoid| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteSetAggregate&| *3 *4)) (|ofCategory| *3 (|FiniteSetAggregate| *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|MonogenicAlgebra&| *3 *4 *5)) (|ofCategory| *3 (|MonogenicAlgebra| *4 *5)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))))) (|ofCategory| *7 (|OrderedRing|)) (|ofCategory| *8 (|Join| (|UnivariatePowerSeriesCategory| *3 *7) (|Field|) (|TranscendentalFunctionCategory|) (CATEGORY |domain| (SIGNATURE |differentiate| ($ $)) (SIGNATURE |integrate| ($ $))))) (|isDomain| *2 (|Union| (|:| |%series| *8) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|)))))) (|isDomain| *1 (|FunctionSpaceToUnivariatePowerSeries| *6 *3 *7 *8 *9 *10)) (|isDomain| *5 (|String|)) (|ofCategory| *9 (|PartialTranscendentalFunctions| *8)) (|ofType| *10 (|Symbol|))))) 
(((*1 *1) (|ofCategory| *1 (|FiniteFieldCategory|))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |primelt| *5) (|:| |poly| (|List| (|SparseUnivariatePolynomial| *5))) (|:| |prim| (|SparseUnivariatePolynomial| *5)))) (|isDomain| *1 (|FunctionSpacePrimitiveElement| *4 *5)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |primelt| *3) (|:| |pol1| (|SparseUnivariatePolynomial| *3)) (|:| |pol2| (|SparseUnivariatePolynomial| *3)) (|:| |prim| (|SparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|FunctionSpacePrimitiveElement| *4 *3)) (|ofCategory| *3 (|AlgebraicallyClosedField|)) (|ofCategory| *3 (|FunctionSpace| *4)))) ((*1 *2 *3 *4 *3 *4) (AND (|isDomain| *3 (|Polynomial| *5)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| *5)))) (|isDomain| *1 (|PrimitiveElement| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| *5))) (|:| |prim| (|SparseUnivariatePolynomial| *5)))) (|isDomain| *1 (|PrimitiveElement| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Polynomial| *6))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Symbol|)) (|ofCategory| *6 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| *6))) (|:| |prim| (|SparseUnivariatePolynomial| *6)))) (|isDomain| *1 (|PrimitiveElement| *6))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |sin| (|Stream| *4)) (|:| |cos| (|Stream| *4)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *4)) (|isDomain| *3 (|Stream| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *1 (|RewriteRule| *3 *4 *2)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))))) ((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|SuchThat| *3 *2)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *3 *5 *3 *6 *4 *7 *8 *9) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|String|)) (|isDomain| *6 (|Matrix| (|DoubleFloat|))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp9| G)))) (|isDomain| *8 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN)))) (|isDomain| *9 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp8| OUTPUT)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ToolsForSign| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3 *4 *4 *4 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|List| (|Record| (|:| |factors| (|List| *3)) (|:| |error| *5)))) (|isDomain| *1 (|ComplexRootFindingPackage| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *5))))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|List| (|Record| (|:| |factors| (|List| *3)) (|:| |error| *4)))) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4)))))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Commutator|))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Commutator|))))) 
(((*1 *1 *1 *2) (|partial| AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 *2) (|ofType| *4 *2)))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|List| (|Polynomial| *3))) (|ofCategory| *3 (|GcdDomain|)) (|isDomain| *1 (|FGLMIfCanPackage| *3 *4)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *2) (|partial| AND (|isDomain| *2 (|List| (|NewSparseMultivariatePolynomial| *3 (|OrderedVariableList| *4)))) (|ofCategory| *3 (|GcdDomain|)) (|ofType| *4 (|List| (|Symbol|))) (|isDomain| *1 (|LexTriangularPackage| *3 *4))))) 
((|fglmIfCan| . 1565969) (|incrementKthElement| . 1565815) (|mkcomm| . 1565687) (|transCoord| . 1565594) (|cosh2sech| . 1565379) (|OMUnknownSymbol?| . 1565291) (|leadingIdeal| . 1565063) (|divisorCascade| . 1564481) (|deepestTail| . 1564294) (|e01bff| . 1564112) (|direction| . 1563972) (|d02cjf| . 1563480) (|rhs| . 1562970) (|sincos| . 1562731) (|primitiveElement| . 1560791) (|exprToGenUPS| . 1559912) (|front| . 1559657) (|size| . 1557718) (|internalIntegrate| . 1556994) (|dcopy| . 1556842) (|filterUpTo| . 1556711) (|OMputSymbol| . 1556596) (|extDegree| . 1556471) (|setClipValue| . 1556385) (|invmod| . 1556324) (|sdf2lst| . 1555895) (|applyRules| . 1555135) (|ldf2vmf| . 1554983) (|integralMatrix| . 1554699) (|cosh| . 1553324) (|perfectSqrt| . 1553214) (|localIntegralBasis| . 1551755) (|extractBottom!| . 1551580) (|factorUsingYun| . 1551156) (|f01mcf| . 1550938) (|stoseInvertible?sqfreg| . 1550527) (|semiResultantEuclideannaif| . 1550296) (|simplify| . 1549616) (|localParamV| . 1549081) (|endOfFile?| . 1549002) (|pointData| . 1548846) (|coefOfFirstNonZeroTerm| . 1548746) (|mapmult| . 1548612) (|ratDsolve| . 1546805) (|varList| . 1545430) (|removeConjugate| . 1544855) (|BumInSepFFE| . 1544492) (|multMonom| . 1544013) (|multiple| . 1543737) (|destruct| . 1543252) (|listOfTerms| . 1542603) (|gcdcofactprim| . 1542460) (|xor| . 1542312) (|extendIfCan| . 1542046) (|s21bcf| . 1541881) (|epilogue| . 1541698) (|mapGen| . 1541070) (|c06gbf| . 1540898) (|linearlyDependentOverZ?| . 1540712) (|rightRemainder| . 1540574) (|binary| . 1540384) (|sin?| . 1540261) (|clip| . 1538919) (|guessHP| . 1531452) (|symmetricGroup| . 1531150) (|getZechTable| . 1530529) (|singularPointsWithRestriction| . 1530122) (|getVariableOrder| . 1529963) (|operation| . 1529465) (|lazyPremWithDefault| . 1528887) (|lazyPseudoDivide| . 1527980) (|screenResolution| . 1527743) (|binaryTree| . 1527560) (|doubleFloatFormat| . 1527479) (|LPolynomial| . 1524599) (|hex| . 1524495) (|omError| . 1524362) (|taylorQuoByVar| . 1524257) (|size?| . 1523368) (|getGoodPrime| . 1523097) (|incr| . 1522885) (|setMaxPoints| . 1522810) (|pointColorDefault| . 1522636) (|one?| . 1522221) (|Vectorise| . 1522053) (|decompose| . 1519193) (|constantOpIfCan| . 1519013) (|augment| . 1517822) (|d01amf| . 1517578) (|coerceImages| . 1517459) (|minimumDegree| . 1516567) (|squareFree| . 1514054) (|makeTerm| . 1513899) (|e04ycf| . 1513683) (|mainContent| . 1513464) (|s17dcf| . 1513225) (|ffactor| . 1512918) (|c06gsf| . 1512743) (|expextendedint| . 1512237) (|totalLex| . 1512030) (|highCommonTerms| . 1511826) (|red| . 1511787) (|objects| . 1511509) (|new| . 1510403) (|pfaffian| . 1510176) (|f02abf| . 1510008) (|stopTableInvSet!| . 1509315) (|increasePrecision| . 1509143) (|affineRationalPoints| . 1508252) (|extendedEuclidean| . 1507973) (|slope| . 1507027) (|externalList| . 1506937) (|rk4qc| . 1506151) (|low| . 1506061) (|leadingIndex| . 1505588) (|sayLength| . 1505358) (|evalIfCan| . 1501271) (/ . 1497178) (|merge| . 1496227) (|normInvertible?| . 1495836) (|pointValue| . 1495589) (|ranges| . 1495142) (|groebner?| . 1494886) (|indiceSubResultant| . 1494678) (|incrementBy| . 1494523) (|first| . 1493555) (|rightLcm| . 1493417) (|viewWriteAvailable| . 1493322) (|aColumn| . 1493042) (|quotientByP| . 1492980) (|createPrimitivePoly| . 1492778) (|diagonal?| . 1492324) (|genericPosition| . 1491906) (|rightFactorIfCan| . 1491639) (|rightRecip| . 1491416) (|suchThat| . 1489484) (|alphabetic?| . 1489404) (|basisOfLeftNucloid| . 1489215) (|fi2df| . 1489075) (|mapCoef| . 1488880) (|negative?| . 1488403) (|clearFortranOutputStack| . 1488301) (|fortranCharacter| . 1488256) (|areEquivalent?| . 1487584) (|OMgetAtp| . 1487502) (|mesh?| . 1487381) (|complexElementary| . 1486108) (|stopTableGcd!| . 1485415) (|internalAugment| . 1484154) (|OMencodingSGML| . 1484104) (|divide| . 1483145) (|subHeight| . 1483064) (|fintegrate| . 1482500) (|balancedBinaryTree| . 1482360) (|primlimitedint| . 1481819) (|sup| . 1481607) (|OMbindTCP| . 1481481) (|zeroDimPrimary?| . 1481109) (|eulerPhi| . 1481010) (|setright!| . 1480866) (|create3Space| . 1480652) (|leadingExponent| . 1480179) (|prefix?| . 1480088) (|enterPointData| . 1479915) (|mainVariable?| . 1479641) (|rk4| . 1479064) (|outputGeneral| . 1478885) (|clikeUniv| . 1478667) (|OMsetEncoding| . 1478545) (|exprToXXP| . 1477985) (|deleteRoutine!| . 1477899) (|denominators| . 1477768) (|problemPoints| . 1477266) (|setlocalPoint!| . 1476721) (|edf2fi| . 1476566) (|critpOrder| . 1476181) (|plenaryPower| . 1476035) (|polygon| . 1475515) (|infix?| . 1475434) (|leftAlternative?| . 1475094) (|autoReduced?| . 1474755) (|unitNormalize| . 1474664) (|halfExtendedResultant2| . 1474423) (|univariateSolve| . 1472182) (|removeDuplicates!| . 1471954) (|node?| . 1471796) (|rewriteIdealWithQuasiMonicGenerators| . 1471420) (|datalist| . 1471305) (|oneDimensionalArray| . 1471054) (|write| . 1470409) (|evalRec| . 1469968) (|smith| . 1469720) (|select| . 1468902) (|stiffnessAndStabilityFactor| . 1468690) (|iExquo| . 1468541) (|recur| . 1468182) (|ode2| . 1467948) (|quasiComponent| . 1467617) (|Ei2| . 1467492) (|lowerCase?| . 1467412) (|bumptab| . 1467192) (|updateStatus!| . 1467016) (|getStream| . 1466838) (|deleteProperty!| . 1466752) (|cAsinh| . 1466592) (|less?| . 1465376) (|binomial| . 1464802) (|leftUnits| . 1464175) (|subset?| . 1464050) (|f07adf| . 1463891) (|entries| . 1462619) (|getDatabase| . 1462410) (|pdf2ef| . 1462255) (|fullParamInit| . 1461565) (|one| . 1461353) (|curveV| . 1460755) (|modulus| . 1459605) (|ZetaFunction| . 1456695) (|s19adf| . 1456536) (|edf2ef| . 1456381) (|shiftHP| . 1443157) (|cSin| . 1442997) (|s17aff| . 1442838) (|reducedQPowers| . 1442603) (|primeFactor| . 1442481) (|quasiMonic?| . 1442266) (|univcase| . 1441987) (|lhs| . 1441477) (|rightDivide| . 1440967) (|charClass| . 1440790) (|stirling2| . 1440671) (|dioSolve| . 1440351) (|And| . 1440215) (|directProduct| . 1440086) (|iiexp| . 1439890) (|hitherPlane| . 1439769) (|trim| . 1439581) (|unrankImproperPartitions1| . 1439432) (|identitySquareMatrix| . 1439265) (|exists?| . 1439176) (|presub| . 1439126) (|realEigenvectors| . 1438828) (|float| . 1438356) (|makeFR| . 1437847) (|hessian| . 1437492) (|maxLevel| . 1437214) (|update| . 1437051) (|dmp2rfi| . 1435887) (|split!| . 1435716) (|acsc| . 1434518) (|setStatus!| . 1434311) (|basisOfInterpolateForms| . 1433750) (|expint| . 1433369) (|guess| . 1421870) (|conditions| . 1421666) (|chainSubResultants| . 1421472) (|cschIfCan| . 1421331) (|createNormalPoly| . 1421129) (|intcompBasis| . 1420867) (|generators| . 1420474) (|csc| . 1419279) (|firstDenom| . 1419148) (|perfectNthPower?| . 1418978) (|idealiser| . 1418358) (|closedCurve| . 1417838) (|applyTransform| . 1417531) (|createZechTable| . 1417320) (|machineFraction| . 1417225) (|mathieu12| . 1416962) (|backOldPos| . 1416600) (|numFunEvals3D| . 1416526) (|mkIntegral| . 1416217) (|initTable!| . 1416051) (|viewport2D| . 1415995) (|leadingTerm| . 1415817) (|integerBound| . 1415598) (|light| . 1415522) (|convergents| . 1415378) (|rowEch| . 1415236) (|iiasech| . 1415040) (|minPoly| . 1414582) (|subtractIfCan| . 1414505) (|dswap| . 1414293) (|seriesSolve| . 1410223) (|drot| . 1409999) (|node| . 1409893) (|euclideanSize| . 1409794) (|logGamma| . 1409581) (|primintfldpoly| . 1409312) (|acotIfCan| . 1409171) (|toScale| . 1408959) (|pdct| . 1408879) (|mapUp!| . 1408597) (|matrixDimensions| . 1408445) (|OMputEndApp| . 1408363) (|aromberg| . 1408060) (|psolve| . 1401392) (|monomial| . 1398495) (|normalizeIfCan| . 1398105) (|f02xef| . 1397876) (|message| . 1397796) (|setParam!| . 1397597) (|iidigamma| . 1397423) (|linearBezier| . 1397270) (|quasiAlgebraicSet| . 1397006) (|PDESolve| . 1396449) (|distribute| . 1396341) (|conjugate| . 1395311) (|partition| . 1395109) (|Ci| . 1394814) (|purelyAlgebraic?| . 1394248) (|predicate| . 1394047) (|copyQuadVar| . 1393835) (|divOfZero| . 1393738) (|sizeMultiplication| . 1392829) (|explimitedint| . 1392274) (|acoshIfCan| . 1392133) (|subResultantsChain| . 1391929) (|setCurve| . 1390726) (|subQuasiComponent?| . 1389287) (|readIfCan!| . 1389014) (|tower| . 1388915) (|blowUpWithExcpDiv| . 1388225) (|coord| . 1387595) (|nthFlag| . 1387418) (|setmult!| . 1386889) (|leftCharacteristicPolynomial| . 1386722) (|extractPoint| . 1386575) (|blowUp| . 1385883) (|represents| . 1384754) (|reduce| . 1378169) (|e04naf| . 1377760) (|lists| . 1377534) (|f04mbf| . 1377114) (|radicalSimplify| . 1376776) (|f01ref| . 1376549) (|positiveSolve| . 1375061) (|shallowCopy| . 1374943) (|sumOfSquares| . 1374827) (|showArrayValues| . 1374750) (|goodPoint| . 1374510) (|factorset| . 1374165) (|hspace| . 1374084) (|SFunction| . 1373924) (|leastAffineMultiple| . 1373758) (|approxSqrt| . 1373658) (|transcendentalDecompose| . 1371743) (|filename| . 1371649) (|cAsin| . 1371489) (|Si| . 1371194) (|iiperm| . 1370996) (|factorGroebnerBasis| . 1370274) (|symFunc| . 1369968) (|oblateSpheroidal| . 1369759) (|element?| . 1369500) (|generalSqFr| . 1369225) (|asech| . 1368030) (|singRicDE| . 1366937) (|mainMonomial| . 1366750) (|normFactors| . 1366407) (|setTopPredicate| . 1366254) (|removeSuperfluousQuasiComponents| . 1365567) (|lintgcd| . 1365396) (|table| . 1365068) (|dscal| . 1364887) (|vertSplit| . 1364265) (|critM| . 1363995) (|degreeSubResultantEuclidean| . 1363702) (|rowEchWoZeroLines| . 1363587) (|completeHermite| . 1363276) (|Ei3| . 1363151) (|pushFortranOutputStack| . 1362912) (|iiBesselY| . 1362710) (|quoted?| . 1362595) (|leftDivide| . 1361861) (|nthExpon| . 1361241) (|conjugates| . 1361125) (|roughBasicSet| . 1360728) (|blankSeparate| . 1360635) (|nextNormalPrimitivePoly| . 1360459) (|pade| . 1359544) (|getBadValues| . 1359424) (|totalDegree| . 1358711) (|numberOfOperations| . 1358423) (|anfactor| . 1358002) (|droot| . 1357777) (|bfKeys| . 1357687) (|factor| . 1345858) (|associatedEquations| . 1345457) (|find| . 1345316) (|factorial| . 1344968) (|identity| . 1344830) (|column| . 1344357) (|iiGamma| . 1344183) (|internalSubPolSet?| . 1343434) (|musserTrials| . 1343108) (|divideIfCan!| . 1342764) (|cycleRagits| . 1342641) (|lowerCase| . 1342499) (|genus| . 1340037) (|preprocess| . 1339182) (|sturmSequence| . 1338993) (|rightGcd| . 1338855) (|rowEchelonLocal| . 1338707) (|key| . 1338444) (|f04arf| . 1338260) (|e01sff| . 1338040) (|tensorProduct| . 1337525) (|OMputObject| . 1337443) (|solveRetract| . 1337111) (|e01saf| . 1336935) (|enterInCache| . 1336661) (|asinh| . 1335466) (|csubst| . 1335138) (|dequeue| . 1334741) (|numericIfCan| . 1333373) (|min| . 1332884) (|innerSolve| . 1332565) (|prime?| . 1331829) (|times!| . 1331688) (|alternative?| . 1331348) (|bandedHessian| . 1330951) (|trapezoidal| . 1330651) (|Lazard2| . 1330440) (|adaptive3D?| . 1330366) (|setSingularPoints| . 1329117) (|groebSolve| . 1328752) (|integerIfCan| . 1328611) (|drawComplexVectorField| . 1328378) (|OMopenFile| . 1328251) (|ef2edf| . 1328096) (|back| . 1327841) (|sub| . 1327791) (|abelianGroup| . 1327630) (|exteriorDifferential| . 1327483) (|qinterval| . 1327330) (|bat1| . 1327153) (|setPredicates| . 1327030) (|iroot| . 1326794) (|integrate| . 1313884) (|removeIrreducibleRedundantFactors| . 1313515) (|makeVariable| . 1312729) (|minIndex| . 1312568) (|generalLambert| . 1311939) (|atanh| . 1310744) (|convertIfCan| . 1310637) (|curveColorPalette| . 1310503) (|mainKernel| . 1310403) (|refine| . 1308631) (|generalPosition| . 1308238) (|chartV| . 1307733) (|f01qdf| . 1307509) (* . 1299296) (|logpart| . 1299032) (|d01aqf| . 1298785) (|ShiftC| . 1298539) (|perfectNthRoot| . 1298207) (|tableau| . 1298083) (|movedPoints| . 1297845) (|trivialIdeal?| . 1297574) (|integralDerivationMatrix| . 1297228) (|cylindrical| . 1297044) (|reducedContinuedFraction| . 1296910) (|dznrm2| . 1296720) (|getCurve| . 1296616) (|dmpToHdmp| . 1296367) (|principal?| . 1296059) (|critBonD| . 1295693) (|invmultisect| . 1295064) (|rischDEsys| . 1294369) (|sample| . 1293640) (|every?| . 1292445) (|guessAlg| . 1288110) (|distinguishedRootsOf| . 1287714) (|reseed| . 1287600) (|hclf| . 1287411) (|brillhartTrials| . 1287093) (|endSubProgram| . 1287012) (|inconsistent?| . 1286254) (|comment| . 1286086) (|f07aef| . 1285849) (|uniform01| . 1285759) (|basisOfRightAnnihilator| . 1285578) (|intermediateResultsIF| . 1285171) (|sylvesterSequence| . 1284979) (|d03faf| . 1284640) (|stosePrepareSubResAlgo| . 1284226) (|has?| . 1284112) (|simpson| . 1283812) (|overlabel| . 1283762) (|nextSubsetGray| . 1283622) (|read!| . 1283491) (|printCode| . 1283412) (|iiBeta| . 1283210) (|lexGroebner| . 1283038) (|createPrimitiveElement| . 1282983) (|scaleRoots| . 1282820) (|triangSolve| . 1281738) (|OMgetEndBVar| . 1281656) (|roughSubIdeal?| . 1281345) (|makeViewport3D| . 1280989) (|insert!| . 1278019) (|sech| . 1276827) (|computeCycleEntry| . 1276686) (|spherical| . 1276502) (|algintegrate| . 1276006) (|iiasec| . 1275810) (|internalInfRittWu?| . 1275061) (|coefChoose| . 1274754) (|rowEchelon| . 1273128) (|properties| . 1273016) (|c06ekf| . 1272838) (|randomR| . 1272115) (|ruleset| . 1271759) (|groebnerIdeal| . 1271503) (|output| . 1270981) (|variables| . 1268765) (|genericLeftMinimalPolynomial| . 1268422) (|e04mbf| . 1268189) (|ncols| . 1267700) (|showTypeInOutput| . 1267599) (|f02aef| . 1267425) (|bivariateSLPEBR| . 1267028) (|third| . 1266930) (|wreath| . 1266804) (|tanh| . 1265429) (|schema| . 1265215) (|radPoly| . 1264873) (|imaginary| . 1264775) (|lighting| . 1264648) (|complexZeros| . 1263947) (|predicates| . 1263827) (|shanksDiscLogAlgorithm| . 1263597) (F2FG . 1263235) (|substitute| . 1263130) (|lifting1| . 1262427) (|listAllMonoExp| . 1262116) (|diagonal| . 1261912) (|real?| . 1261163) (|setlast!| . 1261020) (|viewport3D| . 1260962) (|cCsc| . 1260802) (|pointDominateBy| . 1259048) (|remove| . 1258082) (|invertibleElseSplit?| . 1257774) (|hypergeometric0F1| . 1257555) (|ldf2lst| . 1257132) (|rarrow| . 1257082) (|setUnion| . 1256968) (|differentiate| . 1252612) (|eyeDistance| . 1252491) (|groebner| . 1250740) (|taylor| . 1246889) (|cyclicParents| . 1246768) (|f01qcf| . 1246589) (|iitanh| . 1246393) (|computeBasis| . 1246180) (|nullSpace| . 1244473) (|fullDisplay| . 1243866) (|setDifference| . 1243752) (|internalDecompose| . 1240777) (|sumOfDivisors| . 1240678) (|plus| . 1240239) (|alphanumeric| . 1240191) (|row| . 1239718) (|stoseInternalLastSubResultant| . 1238772) (|primitivePart!| . 1238553) (|statusIto| . 1238396) (|partitions| . 1237961) (|replaceDiffs| . 1237538) (|useSingleFactorBound?| . 1237383) (|rur| . 1235763) (|li| . 1235468) (|connect| . 1235309) (|finite?| . 1234979) (|appendPoint| . 1234856) (|localPointV| . 1234314) (|enumerate| . 1234045) (|fixedPoint| . 1233713) (|fractionFreeGauss!| . 1233415) (|laurentRep| . 1233238) (|duplicates| . 1233051) (|transcendent?| . 1232933) (|OMopenString| . 1232809) (|primeFrobenius| . 1232634) (|countable?| . 1232549) (|yCoordinates| . 1232237) (|d01gbf| . 1231939) (|cot2trig| . 1231724) (|coordinate| . 1231328) (|makeEq| . 1231011) (|dimensionsOf| . 1230577) (|invertibleSet| . 1230291) (|green| . 1230252) (|topPredicate| . 1230085) (|pointSizeDefault| . 1229895) (|setTex!| . 1229804) (|sbt| . 1229701) (|subresultantVector| . 1229501) (|cons| . 1229342) (|zeroSquareMatrix| . 1229175) (|dictionary| . 1228949) (|asin| . 1227568) (|goppaCode| . 1226268) (|setelt| . 1223866) (|besselJ| . 1223411) (|draw| . 1215381) (|initParLocLeaves| . 1214691) (|B1solve| . 1213987) (|whatInfinity| . 1213856) (|numFunEvals| . 1213784) (|wordsForStrongGenerators| . 1213631) (|loopPoints| . 1213414) (|basicSet| . 1212559) (|title| . 1212113) (|d03eef| . 1211736) (|particularSolution| . 1210724) (|powern| . 1210516) (|changeName| . 1210397) (|constantToUnaryFunction| . 1210244) (|safety| . 1210010) (|janko2| . 1209747) (|square?| . 1209293) (|argument| . 1208937) (|zero| . 1208545) (|prem| . 1208165) (|lambert| . 1207672) (|selectODEIVPRoutines| . 1207622) (|numberOfCycles| . 1207492) (|diffHP| . 1194268) (|rightRankPolynomial| . 1193501) (|weighted| . 1193291) (|doubleRank| . 1193099) (|rootNormalize| . 1192739) (|save| . 1192694) (^= . 1192644) (|pop!| . 1192302) (|distance| . 1192178) (|minusInfinity| . 1191989) (|internalIntegrate0| . 1191580) (|stopMusserTrials| . 1191254) (|cycle| . 1191125) (|colorFunction| . 1190744) (|removeRedundantFactorsInPols| . 1190422) (<= . 1190040) (|asecIfCan| . 1189899) (|odd?| . 1189558) (|result| . 1189314) (|genusTreeNeg| . 1188564) (|OMgetApp| . 1188482) (|stiffnessAndStabilityOfODEIF| . 1188006) (|normalizedAssociate| . 1187692) (|integer| . 1187315) (|\\/| . 1187218) (|exprex| . 1186997) (|resultant| . 1186114) (|classNumber| . 1184826) (|padecf| . 1184521) (|series| . 1178653) (|nand| . 1178555) (|powerAssociative?| . 1178413) (|generic?| . 1178298) (|inf| . 1178148) (|permanent| . 1177928) (|lastSubResultant| . 1177073) (|quotVecSpaceBasis| . 1176948) (|composite| . 1176495) (|newSubProgram| . 1176386) (|iiasinh| . 1176190) (|parametric?| . 1176115) (|removeSinhSq| . 1175900) (|ignore?| . 1175543) (|space| . 1175256) (|sortConstraints| . 1174923) (|dAndcExp| . 1174696) (|varselect| . 1174490) (|iprint| . 1174375) (|createRandomElement| . 1174208) (|e02dff| . 1174017) (|OMwrite| . 1172686) (|inHallBasis?| . 1172569) (- . 1169749) (|delete| . 1169489) (|match| . 1168147) (|outlineRender| . 1168025) (|basisOfCentroid| . 1167836) (|OMUnknownCD?| . 1167748) (|guessADE| . 1160695) (|declare| . 1160577) (|float?| . 1160300) (|trueEqual| . 1160206) (|stFunc2| . 1159908) (|systemCommand| . 1159795) (|test| . 1159751) (|create| . 1158146) (|replaceVarByZero| . 1157860) (|createNormalPrimitivePoly| . 1157658) (|duplicates?| . 1157531) (|ricDsolve| . 1154072) (|primintegrate| . 1153653) (|union| . 1153057) (|reducedForm| . 1152956) (|defineProperty| . 1152738) (|qnew| . 1152136) (|ipow| . 1151938) (|exQuo| . 1150971) (|inverseLaplace| . 1150540) (|failed?| . 1150171) (|delta| . 1149985) (|truncate| . 1149627) (|df2st| . 1149258) (|d01asf| . 1149011) (|decomposeFunc| . 1148796) (|commonDenominator| . 1147937) (|chebyshevU| . 1147624) (|s18aff| . 1147465) (|findTerm| . 1147267) (|repeating?| . 1147095) (|coerce| . 1106733) (|d| . 1106566) (|csch2sinh| . 1106351) (|listOfLists| . 1105758) (|rightCharacteristicPolynomial| . 1105591) (|lepol| . 1105324) (|solveLinearPolynomialEquationByFractions| . 1105067) (< . 1104559) (|makeRecord| . 1104382) (|listYoungTableaus| . 1104219) (|untab| . 1104039) (|factorPolynomial| . 1103582) (|prolateSpheroidal| . 1103373) (|axesColorDefault| . 1103199) (|normalDeriv| . 1102889) (|findOrderOfDivisor| . 1101091) (|xCoord| . 1100977) (|iicoth| . 1100781) (|discriminantEuclidean| . 1100533) (|sinh2csch| . 1100318) (|complete| . 1099746) (|extractTop!| . 1099571) (|guessHolo| . 1095236) (|columnSpace| . 1094981) (|s21bbf| . 1094816) (|resultantEuclidean| . 1094568) (|zag| . 1094518) (|range| . 1094306) (|fixedDivisor| . 1094145) (~= . 1093320) (|rootPower| . 1092763) (|numerators| . 1092632) (|partialNumerators| . 1092501) (|solve1| . 1092235) (|moebiusMu| . 1092136) (|numberRatPlacesExtDeg| . 1090727) (|getOrder| . 1090548) (|rule| . 1089886) (|splitLinear| . 1089780) (|nullary?| . 1089696) (|makeGraphImage| . 1089094) (|definingPolynomial| . 1087850) (|intChoose| . 1087257) (|sinh| . 1085882) (|limitPlus| . 1085042) (|pair?| . 1084765) (|unravel| . 1084569) (|normalizeAtInfinity| . 1084295) (|withPredicates| . 1084172) (|zoom| . 1083643) (|An| . 1083475) (|interpolateForms| . 1081445) (|cos2sec| . 1081230) (|pushup| . 1080126) (|bitCoef| . 1080041) (|c05pbf| . 1079754) (|maxTower| . 1079637) (|genusTree| . 1078919) (|plusInfinity| . 1078730) (|bipolarCylindrical| . 1078521) (|quotient| . 1078062) (|name| . 1077419) (|cardinality| . 1077280) (|heap| . 1077169) (|torsion?| . 1076324) (|subResultantChain| . 1076069) (|complexEigenvalues| . 1075837) (|compactFraction| . 1075738) (|sum| . 1073061) (|getEq| . 1072708) (|aLinear| . 1072474) (|imagi| . 1072372) (|partialDenominators| . 1072241) (|points| . 1072082) (|hcrf| . 1071893) (|testModulus| . 1071682) (|setFieldInfo| . 1071440) (|leftScalarTimes!| . 1071299) (|OMlistSymbols| . 1071178) (|normalDenom| . 1070956) (|bitTruth| . 1070843) (|cycles| . 1070705) (|knownInfBasis| . 1070398) (|center| . 1069857) (|subNode?| . 1069601) (|iifact| . 1069431) (|mantissa| . 1069259) (|primPartElseUnitCanonical| . 1069035) (|subst| . 1068590) (|setLabelValue| . 1068502) (|packExps| . 1068295) (|squareFreePart| . 1067460) (|powers| . 1067325) (|OMgetFloat| . 1067236) (|f04adf| . 1067031) (|ParCondList| . 1066430) (|addBadValue| . 1066158) (|critT| . 1065776) (|reduceLineOverLine| . 1065657) (|rotate!| . 1065402) (|substring?| . 1065280) (|iisech| . 1065084) (|basisOfInterpolateFormsForFact| . 1064523) (|d01akf| . 1064279) (|factorsOfDegree| . 1064020) (|middle| . 1063827) (|index?| . 1063668) (|cycleTail| . 1063570) (|desingTreeAtPoint| . 1062906) (|iicos| . 1062710) (|recip| . 1060726) (LT . 1060508) (|fortranLogical| . 1060463) (|normalForm| . 1059876) (|iomode| . 1059718) (|nextLatticePermutation| . 1059569) (|setFoundZeroes| . 1059448) (|explicitlyEmpty?| . 1059326) (|sechIfCan| . 1059185) (|collectUpper| . 1058939) (|localParam| . 1058768) (|identification| . 1058507) (|factorsOfCyclicGroupSize| . 1058354) (|physicalLength!| . 1058096) (|bezoutResultant| . 1057759) (|jordanAdmissible?| . 1057419) (|principalIdeal| . 1057253) (|multiServ| . 1057142) (|commutativeEquality| . 1056959) (|mainDefiningPolynomial| . 1056839) (|scripts| . 1056483) (|introduce!| . 1056373) (|initials| . 1056092) (|blue| . 1056053) (|separateDegrees| . 1055798) (|inBetweenExcpDiv| . 1055136) (|lflimitedint| . 1054611) (|mathieu24| . 1054348) (|rootKerSimp| . 1053712) (|csc2sin| . 1053497) (|unitVector| . 1052770) (|algebraicCoefficients?| . 1052484) (|fTable| . 1051365) (|arrayStack| . 1051247) (|vspace| . 1051166) (|po| . 1051010) (|listAllMono| . 1050728) (|fortranLiteralLine| . 1050618) (|sqrt| . 1049952) (|listOfMonoms| . 1049734) (|primitiveMonomials| . 1049528) (|OMputEndAttr| . 1049446) (|removeConstantTerm| . 1049242) (|possiblyNewVariety?| . 1048887) (|d01fcf| . 1048592) (|someBasis| . 1048448) (|acot| . 1047250) (|s19aaf| . 1047091) (|child| . 1046931) (|tanSum| . 1046812) (|subsInVar| . 1046523) (|rootPoly| . 1046122) (|numberOfIrreduciblePoly| . 1045970) (|setIntersection| . 1045856) (|tanh2trigh| . 1045641) (|airyAi| . 1045198) (|fortranLinkerArgs| . 1045110) (|print| . 1044924) (|displayAsGF| . 1044791) (|sinIfCan| . 1044650) (|cos| . 1043180) (|asec| . 1041982) (|leftRecip| . 1041759) (|typeLists| . 1041549) (|maxColIndex| . 1041082) (|selectfirst| . 1040958) (|linSolve| . 1040507) (|splitSquarefree| . 1040227) (|log| . 1037893) (|halfExtendedResultant1| . 1037652) (|variationOfParameters| . 1037425) (|expandTrigProducts| . 1037024) (|nodeOf?| . 1036777) (|clearTheSymbolTable| . 1036592) (|closeComponent| . 1036392) (|setProperties| . 1036277) (|numberOfComposites| . 1036145) (|OMParseError?| . 1036057) (|csch| . 1034865) (|linearPolynomials| . 1034494) (|rightScalarTimes!| . 1034353) (|composites| . 1034232) (|guessPRec| . 1027179) (|rightRank| . 1026987) (FG2F . 1026625) (|quartic| . 1026098) (|rCoord| . 1025984) (|sorted?| . 1025657) (|presuper| . 1025607) (|tanNa| . 1025485) (|digamma| . 1025042) (|mainSquareFreePart| . 1024823) (|nthRootIfCan| . 1024640) (|fprindINFO| . 1024240) (|tablePow| . 1023966) (|f02aff| . 1023801) (|hue| . 1023541) (|karatsubaDivide| . 1023328) (|irreducibleRepresentation| . 1022799) (|pushdown| . 1021695) (|measure| . 1016785) (|absolutelyIrreducible?| . 1016195) (|linkToFortran| . 1015348) (|palgLODE| . 1014745) (|minimalForm| . 1013821) (|npcoef| . 1013184) (|equation| . 1012449) (|rationalFunction| . 1012007) (|level| . 1011850) (|setleft!| . 1011706) (|showScalarValues| . 1011629) (|setErrorBound| . 1011436) (|iiAiryBi| . 1011262) (|unary?| . 1011178) (|lSpaceBasis| . 1010878) (|content| . 1010179) (|selectSumOfSquaresRoutines| . 1010129) (|genericLeftNorm| . 1009817) (|nextsubResultant2| . 1009584) (|PollardSmallFactor| . 1009459) (|iFTable| . 1008864) (|imagK| . 1008661) (|unvectorise| . 1008056) (|leftRank| . 1007864) (|linearAssociatedOrder| . 1007680) (|fortranReal| . 1007635) (|OMread| . 1007518) (|var2Steps| . 1007290) (|push!| . 1006936) (|hdmpToDmp| . 1006687) (|extractIfCan| . 1006533) (|getAncestors| . 1006401) (|entry?| . 1006167) (|setsubMatrix!| . 1005941) (|setMaxPoints3D| . 1005864) (|inverseIntegralMatrixAtInfinity| . 1005580) (|qfactor| . 1005210) (|irreducibleFactor| . 1005088) (|OMputVariable| . 1004976) (|cyclePartition| . 1004855) (|showAttributes| . 1003756) (|modifyPoint| . 1003158) (|laurentIfCan| . 1002971) (|swap!| . 1002770) (|viewPhiDefault| . 1002590) (|bits| . 1002238) (|changeWeightLevel| . 1001617) (|replace| . 1001502) (|Lazard| . 1001294) (|cyclicSubmodule| . 1001048) (|univariate?| . 1000761) (|normal01| . 1000671) (|internalZeroSetSplit| . 999910) (|product| . 998817) (|discriminant| . 997440) (|addPoint| . 996845) (|completeSmith| . 996510) (|addPoint2| . 996360) (|coerceListOfPairs| . 996232) (|null?| . 995955) (|localAbs| . 994892) (|stirling1| . 994773) (|leader| . 994526) (|rightOne| . 994406) (|iiBesselK| . 994204) (|f02ajf| . 994033) (|variableName| . 993823) (|belong?| . 992115) (|s19abf| . 991956) (|mul| . 991820) (|graphStates| . 991371) (|search| . 991224) (|OMconnOutDevice| . 991128) (|count| . 988663) (|closedCurve?| . 988542) (|messagePrint| . 988437) (|mainValue| . 988317) (|shade| . 988128) (|superscript| . 988036) (|leftFactorIfCan| . 987811) (|fill!| . 987436) (|tubeRadius| . 987228) (|exponentialOrder| . 987005) (|startStats!| . 986809) (|distinguishedCommonRootsOf| . 986571) (|selectMultiDimensionalRoutines| . 986521) (|kernels| . 986422) (|operator| . 984504) (|ODESolve| . 984067) (|blockConcat| . 983789) (|last| . 983201) (|lcm| . 982886) (|d02bbf| . 982496) (|radicalEigenvector| . 982258) (|canonicalIfCan| . 982111) (|polyRDE| . 981648) (|additive?| . 981495) (|polyred| . 981279) (|increment| . 981127) (|nextSublist| . 980733) (|dzasum| . 980543) (|fmecg| . 979478) (|cothIfCan| . 979337) (|phiCoord| . 979223) (|outputList| . 979109) (|quadTransform| . 978689) (|localReal?| . 978465) (|cAcot| . 978305) (|drawToScale| . 978137) (|diag| . 977934) (|setchildren!| . 977768) (|id| . 977673) (|resultantReduit| . 977475) (|ddot| . 977291) (|next| . 977195) (|genericLeftTraceForm| . 976880) (|or| . 976735) (|realSolve| . 974634) (|extendedSubResultantGcd| . 974014) (|palgextint| . 973530) (|integers| . 973362) (|rootProduct| . 972805) (|indices| . 972649) (|atoms| . 972423) (|credits| . 972331) (|dcabs1| . 972200) (|var1StepsDefault| . 972010) (|homogenize| . 970205) (|fixedPoints| . 970058) (|partialFraction| . 969415) (|calcRanges| . 969250) (|s18acf| . 969091) (|algSplitSimple| . 968719) (|numberOfMonomials| . 968224) (|randnum| . 968052) (|iipow| . 967854) (|exponent| . 967070) (|legendreP| . 966860) (|routines| . 966813) (|iiatanh| . 966617) (|filterWhile| . 966363) (|reduceBasisAtInfinity| . 966089) (|geometric| . 965947) (|dmpToP| . 965735) (|curveColor| . 965578) (|Musser| . 965367) (|div| . 965317) (|atanIfCan| . 965176) (|leftMinimalPolynomial| . 964972) (|setVariableOrder| . 964710) (|fracPart| . 964410) (|yCoord| . 964296) (|rotate| . 964049) (|factorOfDegree| . 962628) (|sparsityIF| . 962485) (|hasPredicate?| . 962370) (|subTriSet?| . 961677) (|gethi| . 961191) (|cSinh| . 961031) (|puiseux| . 957855) (|midpoint| . 957586) (|outputAsTex| . 957342) (|changeNameToObjf| . 957226) (|iipolygamma| . 957024) (|idealSimplify| . 956791) (|extract!| . 956289) (|mainCharacterization| . 956025) (|parts| . 954879) (|Nul| . 954786) (|origin| . 954694) (|ridHack1| . 954588) (|palglimint0| . 953329) (|realZeros| . 951058) (|exponential1| . 950968) (|erf| . 950673) (|imagE| . 950571) (|indicialEquation| . 949818) (|scale| . 949336) (|fullOut| . 948206) (|mpsode| . 947904) (|regime| . 946987) (|arg2| . 946839) (|reverse!| . 946380) (|rootOfIrreduciblePoly| . 945968) (|gcdPrimitive| . 945164) (|radical| . 944820) (|s18dcf| . 944581) (UP2UTS . 944310) (|leftRemainder| . 944016) (|sts2stst| . 943789) (|setTower!| . 943675) (|Beta| . 943028) (|Ei6| . 942903) (|f02akf| . 942726) (|elliptic| . 941966) (|tryFunctionalDecomposition| . 941808) (|dec| . 941750) (|OMputEndBVar| . 941668) (|f2df| . 941543) (|copyIto| . 941407) (|numberOfValuesNeeded| . 940981) (|unit| . 940647) (|invertible?| . 940029) (|OMgetSymbol| . 939899) (|leastPower| . 939580) (|submod| . 939516) (|cycleSplit!| . 939376) (|raisePolynomial| . 939047) (|guessPade| . 934712) (|mesh| . 933424) (|atom?| . 933147) (|orbits| . 933016) (|nilFactor| . 932894) (|factorSFBRlcUnit| . 932167) (|wordInStrongGenerators| . 931985) (|input| . 931733) (|prinshINFO| . 931469) (|bezoutDiscriminant| . 931135) (|froot| . 930580) (|primitive?| . 930297) (|euler| . 930027) (|coth2tanh| . 929812) (|mapSolve| . 929428) (|printInfo| . 926523) (|rootBound| . 926181) (|interpret| . 925986) (|desingTree| . 924017) (|e04fdf| . 923758) (|exp| . 921491) (|excepCoord| . 921398) (|guessExpRat| . 914345) (|redpps| . 913847) (|pole?| . 913528) (|wordInGenerators| . 913346) (|stronglyReduced?| . 912784) (|repack1| . 912558) (|normalize| . 911459) (|specialTrigs| . 911173) (|prologue| . 910990) (|pastel| . 910914) (|tail| . 910539) (|roughEqualIdeals?| . 910228) (|divideExponents| . 910073) (|cup| . 909947) (|s17agf| . 909788) (|complexNumeric| . 906101) (|acothIfCan| . 905960) (|bag| . 905290) (|divisor| . 903792) (|complexEigenvectors| . 903455) (|bernoulli| . 903144) (|second| . 903046) (|totalDifferential| . 902865) (|iiacsch| . 902669) (|scalarMatrix| . 902237) (|dflist| . 902016) (|flagFactor| . 901836) (|nextColeman| . 901676) (|viewDeltaXDefault| . 901496) (|cAsec| . 901336) (|realRoots| . 900872) (|LyndonWordsList1| . 900649) (|blockSplit| . 899279) (|semiSubResultantGcdEuclidean1| . 899054) (|more?| . 897998) (|idamax| . 897858) (|computeCycleLength| . 897681) (|rightMinimalPolynomial| . 897477) (|floor| . 897277) (|standardBasisOfCyclicSubmodule| . 897042) (|open?| . 896910) (|redPol| . 896640) (|nthFractionalTerm| . 896510) (|listBranches| . 896249) (|orthonormalBasis| . 896057) (|airyBi| . 895614) (|genericRightMinimalPolynomial| . 895271) (|lyndon?| . 895113) (|tube| . 894709) (|/\\| . 894612) (|notelem| . 894446) (|placesAbove| . 893098) (|RemainderList| . 892712) (|magnitude| . 892558) (|leftNorm| . 892441) (|tValues| . 892342) (|clearDenominator| . 891453) (F2EXPRR . 891263) (|toroidal| . 891054) (|updatF| . 890681) (|maxDegree| . 890403) (|convert| . 881829) (|setAdaptive| . 881754) (|generalizedInverse| . 881498) (|repSq| . 881308) (|tanIfCan| . 881167) (|iisin| . 880971) (|credPol| . 880701) (|atanhIfCan| . 880560) (|normalElement| . 880248) (|makeYoungTableau| . 880091) (|conjug| . 879811) (|writeObj| . 879658) (|iitan| . 879462) (|aRow| . 879182) (|fortranComplex| . 879137) (|truncatedmuladd| . 878970) (|degreeSubResultant| . 878762) (|rootRadius| . 878376) (|ratPoly| . 877921) (|OMgetEndAtp| . 877839) (|rangeIsFinite| . 877280) (|setAttributeButtonStep| . 877195) (|coerceS| . 876974) (|depth| . 876353) (|arity| . 876248) (|integralLastSubResultant| . 875853) (|nil| . 875779) (|postfix| . 875729) (|clearCache| . 875616) (|characteristic| . 873930) (|whileLoop| . 873846) (|drawComplex| . 873582) (|shallowExpand| . 873371) (|HermiteIntegrate| . 872614) (|permutationRepresentation| . 871845) (|separateFactors| . 871294) (|complexLimit| . 870325) (|polygon?| . 870204) (|algebraicVariables| . 869923) (~ . 869832) (|minus!| . 869556) (|children| . 869276) (|components| . 869155) (|deepCopy| . 869037) (|conditionsForIdempotents| . 867813) (|infieldIntegrate| . 867554) (|f02adf| . 867383) (|antisymmetricTensors| . 866963) (|generalizedContinuumHypothesisAssumed| . 866878) (|logIfCan| . 866737) (|aspFilename| . 866646) (|selectNonFiniteRoutines| . 866596) (|nthr| . 866064) (|factor1| . 865584) (|ode| . 865319) (|expintegrate| . 864886) (|nextItem| . 864826) (|insert| . 864581) (|sh| . 864217) (|pushdterm| . 863815) (|formula| . 863717) (|leadingCoefficient| . 861693) (|numerator| . 861316) (|curve?| . 861195) (|and| . 861050) (|vectorcombination| . 860877) (|denom| . 859634) (|d01ajf| . 859390) (|status| . 858918) (|coef| . 858318) (|conditionP| . 857997) (|acschIfCan| . 857856) (|branchPointAtInfinity?| . 857587) (|changeMeasure| . 857472) (|midpoints| . 857185) (|nonQsign| . 857062) (|finiteSeries2Vector| . 856842) (|supRittWu?| . 856624) (|iisec| . 856428) (|sec| . 855233) (|cubic| . 854709) (|iiabs| . 854535) (|mvar| . 854108) (|bat| . 853937) (|flush| . 853781) (|parabolicCylindrical| . 853597) (|countRealRootsMultiple| . 853353) (|dark| . 853277) (|makeCos| . 853069) (|redPo| . 852740) (|zeroMatrix| . 852213) (|Zero| . 851912) (|derivationCoordinates| . 851628) (|removeSuperfluousCases| . 850843) (|iisqrt3| . 850650) (|f02awf| . 850479) (|hdmpToP| . 850256) (|linear?| . 849698) (|lfintegrate| . 849295) (|compBound| . 849073) (|optional?| . 848958) (|measure2Result| . 848512) (|associatedSystem| . 848195) (|linearAssociatedExp| . 848008) (|getRef| . 847839) (|s17acf| . 847680) (|OMgetAttr| . 847598) (|condition| . 847422) (|repeatUntilLoop| . 847338) (|critB| . 847062) (|interpolateFormsForFact| . 845052) (|setPoly| . 844914) (|gderiv| . 844737) (|qqq| . 844474) (|iilog| . 844278) (|constantIfCan| . 844107) (|identityMatrix| . 843939) (|sumOfKthPowerDivisors| . 843798) (|cPower| . 843635) (|code| . 842392) (|bivariatePolynomials| . 842021) (|exp1| . 841940) (|cyclotomic| . 841468) (|unmakeSUP| . 841315) (|checkForZero| . 840424) (|lastNonNull| . 840297) (|seriesToOutputForm| . 839944) (|invertIfCan| . 839636) (|OMgetVariable| . 839552) (|setCondition!| . 839373) (|zeroSetSplit| . 835675) (|stoseInvertibleSet| . 835313) (|nextPrimitivePoly| . 835137) (|fortranDouble| . 835092) (|match?| . 834968) (|integral| . 833983) (|headReduce| . 833540) (|maxint| . 833360) (|c06fpf| . 833152) (|f01qef| . 832937) (|pureLex| . 832730) (|mkAnswer| . 832385) (|corrPoly| . 831825) (|f04axf| . 831593) (|symbol?| . 831204) (|tanAn| . 831024) (|overset?| . 830611) (|selectsecond| . 830487) (|setPosition| . 830364) (|rightDiscriminant| . 829948) (|OMputEndError| . 829866) (|branchPoint?| . 829325) (|rightTrace| . 829208) (|modularGcd| . 828946) (|removeFirstZeroes| . 828846) (|s14baf| . 828681) (|s15aef| . 828522) (|pointInIdeal?| . 828144) (|integralBasis| . 826412) (|rewriteIdealWithRemainder| . 826101) (|int| . 825451) (|bottom!| . 825276) (|popFortranOutputStack| . 825186) (|basisOfMiddleNucleus| . 825008) (|nrows| . 824519) (|rst| . 824425) (|c06eaf| . 824253) (|algint| . 823870) (|e02akf| . 823659) (|previous| . 823563) (>= . 823430) (|lifting| . 822849) (|inspect| . 822347) (|multivariate| . 820678) (|SturmHabicht| . 820463) (|fortranCompilerName| . 820375) (|lllp| . 820226) (|diagonalProduct| . 819718) (|f02axf| . 819541) (|decrease| . 819317) (|cond| . 819149) (|polarCoordinates| . 818901) (|satisfy?| . 818294) (|basisOfRightNucleus| . 818116) (|startTable!| . 817369) (|testDim| . 817061) (|OMencodingUnknown| . 817011) (|clipPointsDefault| . 816843) (|lcmCoef| . 816702) (|virtualDegree| . 816424) (|e04jaf| . 816159) (|binaryTournament| . 816036) (|iibinom| . 815838) (|companionBlocks| . 815597) (|increase| . 815373) (|arg1| . 815225) (|newton| . 815045) (|constantRight| . 814805) (|rows| . 814227) (|multiplyCoefficients| . 813779) (|affineAlgSetLocal| . 813262) (|edf2df| . 813116) (|factorCantorZassenhaus| . 812616) (|iiBesselI| . 812414) (|bit?| . 812319) (|previousTower| . 812236) (|baseRDE| . 811906) (|boundOfCauchy| . 811711) (|cdr| . 811462) (|f02aaf| . 811297) (|linear| . 810779) (|ceiling| . 810579) (|interval| . 810091) (|quotValuation| . 809998) (|gcdprim| . 809855) (|degreePartition| . 809351) (|setcurve!| . 808750) (|limitedIntegrate| . 808310) (|meshFun2Var| . 807896) (|stFunc1| . 807615) (|Ei| . 807198) (|isPower| . 806350) (|false| . 806309) (|call| . 806228) (|copyfirst| . 806067) (|tanh2coth| . 805852) (|cosIfCan| . 805711) (|replaceVarByOne| . 805425) (|rootSplit| . 805020) (|bsolve| . 804177) (|safeFloor| . 804014) (|quadraticForm| . 803851) (|setleaves!| . 803722) (|dnrm2| . 803544) (|multisect| . 802915) (|null| . 802810) (|cycleLength| . 802673) (|implies| . 802626) (|option| . 802143) (|insertMatch| . 801971) (|iteratedInitials| . 801756) (|distdfact| . 801439) (|makingStats?| . 801270) (|pseudoRemainder| . 801164) (|sylvesterMatrix| . 800870) (|nextPrime| . 800762) (|gramschmidt| . 800637) (|length| . 799117) (|power| . 798955) (|modularGcdPrimitive| . 798693) (|putGraph| . 798530) (|sizeLess?| . 798439) (|createLowComplexityNormalBasis| . 798155) (|localize| . 797566) (|rank| . 795087) (|recoverAfterFail| . 794960) (Y . 794523) (|cyclicCopy| . 794439) (|isobaric?| . 794164) (|cAtan| . 794004) (|laurent| . 790857) (|euclideanNormalForm| . 790575) (|permutation| . 790218) (|revert| . 789725) (|HenselLift| . 789420) (|quoByVar| . 789315) (|LazardQuotient2| . 789043) (|badNum| . 788517) (|singularPoints| . 786904) (|quasiMonicPolynomials| . 786533) (|delay| . 786284) (|genericRightTrace| . 785972) (|supDimElseRittWu?| . 785279) (|compose| . 784994) (|taylorRep| . 784818) (|generalInfiniteProduct| . 783814) (|top!| . 783639) (|close!| . 783467) (|copyInto!| . 783295) (|evalat| . 783156) (|finiteSeries2LinSys| . 782906) (|stoseSquareFreePart| . 782504) (|affinePoint| . 782381) (|sncndn| . 782137) (|subMultV| . 781611) (|lazyPquo| . 781231) (|setColumn!| . 780995) (|inverseIntegralMatrix| . 780711) (|extendedgcd| . 780536) (|lookup| . 780268) (|palgextint0| . 779183) (|palgRDE| . 778689) (|Frobenius| . 778100) (|setnext!| . 777959) (|pointLists| . 777846) (|obj| . 777775) (|brace| . 777431) (|traceMatrix| . 776807) (|inrootof| . 776588) (|normalizedDivide| . 776038) (|OMputInteger| . 775925) (|complex| . 775821) (|e01bgf| . 775639) (|latex| . 774836) (|OMgetEndError| . 774754) (|shuffle| . 774598) (|quickSort| . 774340) (|constDsolve| . 773812) (|sec2cos| . 773597) (|viewZoomDefault| . 773417) (|eval| . 762429) (|determinant| . 761442) (|permutations| . 761298) (|divideIfCan| . 761042) (|mainCoefficients| . 760827) (|e01bef| . 760654) (|LiePoly| . 760484) (|functionNames| . 760394) (|primextendedint| . 759902) (|antisymmetric?| . 759448) (|move| . 759179) (|maxShift| . 758901) (|asechIfCan| . 758760) (|norm| . 755247) (|minordet| . 754513) (|OMgetInteger| . 754428) (|lBasis| . 752084) (|accuracyIF| . 751677) (|limitedint| . 751257) (|singularAtInfinity?| . 750988) (|BasicMethod| . 750841) (|pack!| . 750705) (|rename| . 750611) (|errorInfo| . 750519) (|semiResultantEuclidean1| . 750288) (|toseLastSubResultant| . 749893) (|trigs2explogs| . 749450) (|f02wef| . 749233) (|monomialIntegrate| . 748879) (|roman| . 748717) (|selectIntegrationRoutines| . 748667) (|mapBivariate| . 748304) (|evaluateInverse| . 748026) (|f01maf| . 747721) (|typeList| . 747479) (|ptFunc| . 747135) (|eigenMatrix| . 746942) (|ptree| . 746760) (|factorUsingMusser| . 746336) (|opeval| . 746058) (|lquo| . 745150) (|OMputApp| . 745068) (|rightAlternative?| . 744728) (|quasiRegular?| . 744425) (|supp| . 744300) (|alternatingGroup| . 743998) (|newElement| . 743417) (|resetBadValues| . 743330) (|pile| . 743237) (|basis| . 741607) (|lowerPolynomial| . 741278) (|scalarTypeOf| . 741144) (|traverse| . 740975) (|rischDE| . 740243) (|lastSubResultantElseSplit| . 739941) (|ideal| . 739039) (|expt| . 738853) (|structuralConstants| . 737637) (|elementary| . 737486) (|dn| . 737311) (|lazyResidueClass| . 736785) (|patternVariable| . 736634) (|ksec| . 736395) (|plus!| . 736254) (|cCoth| . 736094) (|acosIfCan| . 735953) (|polyRingToBlUpRing| . 735555) (|dimensionOfIrreducibleRepresentation| . 735417) (|stoseInvertibleSetreg| . 735055) (|pseudoDivide| . 734326) (|linearMatrix| . 734126) (|assert| . 733707) (|jacobiIdentity?| . 733367) (|readLine!| . 733289) (|univariate| . 730342) (|se2rfi| . 729933) (|radicalSolve| . 727668) (|powerSum| . 727517) (|finiteSeries2LinSysWOVectorise| . 727267) (|copies| . 727152) (|box| . 726969) (|iflist2Result| . 726701) (|zerosOf| . 725623) (|desingTreeWoFullParam| . 724343) (|startTableInvSet!| . 723578) (|checkExtraValues| . 723366) (|kmax| . 723160) (|inverseColeman| . 723000) (|external?| . 722918) (|show| . 722759) (|constantLeft| . 722519) (|constantCoefficientRicDE| . 722025) (|linGenPos| . 721681) (|d02ejf| . 721103) (|userOrdered?| . 720972) (|allPairsAmong| . 720426) (|nary?| . 720342) (|f2st| . 720222) (|pseudoRem| . 720082) (|e02bdf| . 719915) (|color| . 719728) (|point| . 718712) (|resize| . 718449) (|cLog| . 718289) (|car| . 718040) (|newtonPolySlope| . 717588) (|intersect| . 715792) (|numberOfPrimitivePoly| . 715640) (|symmetricDifference| . 715543) (|simplifyLog| . 715328) (|quote| . 715241) (|OMcloseConn| . 715155) (|graphs| . 714878) (|adaptive?| . 714806) (|real| . 713866) (|rightNorm| . 713749) (|dihedralGroup| . 713447) (|setAdaptive3D| . 713370) (|true| . 713329) (|showRegion| . 713207) (|setPrologue!| . 713018) (|any| . 712912) (|translateToOrigin| . 711784) (|ramifMult| . 711691) (|var2StepsDefault| . 711501) (|zero?| . 710785) (|addmod| . 710721) (|list?| . 710444) (|physicalLength| . 710161) (|removeRedundantFactorsInContents| . 709839) (|extendedResultant| . 709547) (|monomRDEsys| . 709096) (|showTheFTable| . 709037) (|s17ahf| . 708878) (|squareFreePolynomial| . 708421) (|s17dlf| . 708179) (|createHN| . 707966) (|birth| . 707848) (|OMgetType| . 707764) (|returnTypeOf| . 707597) (|zeroDim?| . 707057) (|leftLcm| . 706763) (|primes| . 706624) (|rootOf| . 705128) (|En| . 704940) (|indicialEquationAtInfinity| . 704300) (|trace2PowMod| . 704087) (|rightTraceMatrix| . 703581) (|s01eaf| . 703410) (|viewDeltaYDefault| . 703230) (|antiCommutator| . 703171) (|e02ddf| . 702906) (|deepestInitial| . 702719) (|separant| . 702472) (|minrank| . 701904) (|elRow1!| . 701609) (|OMclose| . 701527) (|choosemon| . 701262) (|paren| . 700989) (|subResultantGcd| . 700459) (|setRealSteps| . 700377) (|delete!| . 700097) (|genericRightTraceForm| . 699782) (|lambda| . 699691) (|explicitlyFinite?| . 699573) (|bombieriNorm| . 698909) (|remove!| . 697659) (|map| . 672251) (|prepareDecompose| . 671224) (|printingInfo?| . 671055) (|double| . 670869) (|LazardQuotient| . 670600) (|quadraticBezier| . 670444) (|polynomialZeros| . 670176) (|totalfract| . 669740) (|position!| . 669650) (|iicosh| . 669454) (|rightZero| . 669338) (|outputMeasure| . 669218) (|createNormalElement| . 669087) (|writable?| . 668998) (|rename!| . 668904) (|outputForm| . 667961) (|d01bbf| . 667795) (|biRank| . 667603) (|mergeDifference| . 667483) (|att2Result| . 666586) (|squareTop| . 666397) (|palglimint| . 665826) (|map!| . 664611) (|OMgetEndAttr| . 664529) (|trunc| . 664186) (|optpair| . 664049) (|minPoints| . 663812) (|lazyIrreducibleFactors| . 663446) (|cscIfCan| . 663305) (|bitLength| . 663223) (|internal?| . 663077) (|f04atf| . 662890) (|processTemplate| . 662716) (|relerror| . 662637) (D . 661082) (|complexNormalize| . 659809) (|listexp| . 659476) (|chineseRemainder| . 658557) (|poisson| . 658415) (|doublyTransitive?| . 658261) (|complement| . 658132) (|numberPlacesDegExtDeg| . 656714) (|summation| . 656103) (|constantKernel| . 655942) (|subscriptedVariables| . 655836) (|say| . 655612) (|translate| . 654589) (|integralCoordinates| . 654277) (|actualExtensionV| . 653772) (|complementaryBasis| . 653498) (|pmintegrate| . 652367) (|octon| . 652118) (|semiSubResultantGcdEuclidean2| . 651893) (|curry| . 651693) (|leaves| . 651572) (|lazyPrem| . 651192) (|restorePrecision| . 651106) (|showAll?| . 650968) (|nextsousResultant2| . 650796) (|semicolonSeparate| . 650703) (|integral?| . 649887) (|flexible?| . 649547) (|lieAlgebra?| . 649207) (|leftMult| . 649052) (|OMputEndObject| . 648970) (|OMgetBVar| . 648888) (|hexDigit| . 648840) (|isMult| . 648619) (|SturmHabichtCoefficients| . 648404) (|d02raf| . 647968) (|extractProperty| . 647804) (|maximumExponent| . 647644) (|nonSingularModel| . 646936) (|maxrank| . 646368) (|order| . 641743) (|makeObject| . 637272) (|pattern| . 636955) (|adjoint| . 635920) (|putColorInfo| . 635767) (|d01gaf| . 635596) (|indicialEquations| . 633803) (|parabolic| . 633619) (|maxPoints3D| . 633545) (|base| . 633102) (|solveLinearlyOverQ| . 632879) (|moreAlgebraic?| . 632186) (|mainForm| . 632085) (|reductum| . 630050) (|genericLeftDiscriminant| . 629741) (|daxpy| . 629554) (|iiacot| . 629358) (|chartCoord| . 629265) (|Somos| . 628993) (|changeBase| . 628666) (|errorKind| . 628572) (|finiteBound| . 628387) (|monicModulo| . 628095) (|clipSurface| . 627973) (|exponents| . 627882) (|fresnelS| . 627494) (|tryFunctionalDecomposition?| . 627339) (|displayKind| . 627258) (|zeroVector| . 627091) (|character?| . 627003) (|sqfrFactor| . 626881) (|uncouplingMatrices| . 626637) (|element| . 626354) (|divisorAtDesingTree| . 625689) (|minimumExponent| . 625529) (|generator| . 624445) (|gcd| . 622025) (|wrregime| . 621372) (|e04dgf| . 621029) (|OMserve| . 620903) (|resultantEuclideannaif| . 620655) (|realEigenvalues| . 620450) (|youngGroup| . 620154) (|monomRDE| . 619753) (|outputSpacing| . 619641) (|guessRat| . 612588) (|nthRoot| . 612214) (|cAsech| . 612054) (|meshPar2Var| . 611023) (|coshIfCan| . 610882) (|sort| . 610158) (|numberOfVariables| . 609303) (|leftGcd| . 609009) (|numericalIntegration| . 608384) (|extractClosed| . 608238) (|internalLastSubResultant| . 607312) (|generate| . 606830) (|subSet| . 606681) (|setProperty| . 606567) (|hasSolution?| . 605978) (|fortranInteger| . 605933) (|doubleDisc| . 605698) (|bezoutMatrix| . 605404) (|clipWithRanges| . 605110) (|frst| . 605016) (|firstExponent| . 604761) (|nonLinearPart| . 604646) (|internalSubQuasiComponent?| . 603933) (|rem| . 603774) (|supersub| . 603678) (|viewPosDefault| . 603464) (|decimal| . 603364) (|rotatez| . 603223) (|initializeParamOfPlaces| . 601811) (|infinityNorm| . 601497) (|escape| . 601454) (|jordanAlgebra?| . 601114) (|LagrangeInterpolation| . 600919) (|solid?| . 600823) (|printHeader| . 600529) (|iiAiryAi| . 600355) (|maxIndex| . 600194) (|tensorMap| . 600033) (|changeVar| . 599255) (|OMconnInDevice| . 599159) (|probablyZeroDim?| . 598844) (|multiplicity| . 597887) (|purelyAlgebraicLeadingMonomial?| . 597601) (|eulerE| . 597386) (|stoseInvertible?| . 596616) (|encode| . 596499) (|totolex| . 596217) (|intersectionDivisor| . 594151) (|lo| . 594061) (|reciprocalPolynomial| . 593868) (|ReduceOrder| . 593451) (|compdegd| . 593065) (|makeResult| . 592791) (|maxRowIndex| . 592324) (|solveLinearPolynomialEquation| . 591336) (|itsALeaf!| . 591168) (|complex?| . 591080) (|expenseOfEvaluation| . 590730) (|positiveRemainder| . 590669) (|solve| . 573851) (|numberOfDivisors| . 573752) (|colorDef| . 573628) (|gnuDraw| . 572769) (|besselI| . 572314) (|infRittWu?| . 571069) (|sPol| . 570715) (|graphCurves| . 570115) (NOT . 569860) (|goodnessOfFit| . 569522) (|combineFeatureCompatibility| . 569314) (|plotPolar| . 568685) (|padicFraction| . 568586) (|tubePointsDefault| . 568396) (|getPickedPoints| . 568280) (|c05adf| . 568042) (|pol| . 567844) (|alterDrift!| . 567654) (|degOneCoef| . 567360) (AND . 567142) (|charthRoot| . 566890) (|integralMatrixAtInfinity| . 566606) (|definingField| . 566415) (|keys| . 565564) (|theCurve| . 564370) (|rewriteSetWithReduction| . 563997) (|printStats!| . 563831) (|tab1| . 563654) (|smaller?| . 563568) (|inRadical?| . 563309) (|insertBottom!| . 563128) (|makeSketch| . 562927) (|modTree| . 562802) (|quadratic?| . 562668) (|symmetricSquare| . 562523) (|curryRight| . 562280) (|c05nbf| . 561997) (|laguerre| . 561836) (|listSD| . 561650) (|makeprod| . 561523) (|bright| . 561240) (|outerProduct| . 561091) (|twoFactor| . 560785) (|cot| . 559590) (|pmComplexintegrate| . 559011) (|cosSinInfo| . 558877) (|remainder!| . 558716) (|intensity| . 558595) (|deriv| . 558464) (|c06frf| . 558253) (|key?| . 558088) (|affineSingularPoints| . 556728) (|associatorDependence| . 556329) (|characteristicSerie| . 555555) (|OMencodingXML| . 555505) (|certainlySubVariety?| . 555187) (|selectPDERoutines| . 555137) (|OMReadError?| . 555049) (|upperCase?| . 554969) (|removeDuplicates| . 554809) (|rightRegularRepresentation| . 554489) (|UnVectorise| . 554321) (|scanOneDimSubspaces| . 554069) (|uniform| . 553635) (|tableForDiscreteLogarithm| . 553474) (|MPtoMPT| . 553225) (|zeta| . 553142) (|updatD| . 552776) (|stoseIntegralLastSubResultant| . 552371) (|semiDiscriminantEuclidean| . 552140) (|monicRightFactorIfCan| . 551876) (|One| . 551431) (|RittWuCompare| . 551203) (|assign| . 546741) (|stoseInvertibleSetsqfreg| . 546379) (|imagI| . 546176) (|optional| . 545900) (|infClsPt?| . 545807) (|concat| . 544698) (|useEisensteinCriterion| . 544540) (|initiallyReduce| . 544097) (|bipolar| . 543888) (|operators| . 543785) (|genericRightDiscriminant| . 543476) (GT . 543258) (|rk4f| . 542971) (|removeZeroes| . 541672) (|addMatchRestricted| . 541497) (|toseSquareFreePart| . 541105) (|derivative| . 540546) (|completeHensel| . 540312) (|mapExpon| . 539818) (|leadingMonomial| . 538726) (|getGraph| . 538591) (|mapUnivariate| . 537930) (|s18def| . 537691) (|palgintegrate| . 537195) (|library| . 537116) (|maxMixedDegree| . 536882) (|horizSplit| . 536260) (|hconcat| . 536120) (|cyclotomicDecomposition| . 535954) (|viewSizeDefault| . 535746) (|unprotectedRemoveRedundantFactors| . 535456) (|radix| . 535303) (|d03edf| . 535065) (|number?| . 534911) (|minGbasis| . 534644) (|retractToGrn| . 534476) (|e02bef| . 534184) (|coth2trigh| . 533969) (|alternating| . 533818) (|multiset| . 533535) (|setsymbName!| . 532998) (|acosh| . 531803) (|point?| . 531682) (|s13adf| . 531523) (|variable| . 530832) (|conical| . 530620) (|noncommutativeJordanAlgebra?| . 530280) (|lazy?| . 530158) (|kernel| . 529641) (|central?| . 529460) (|generalizedContinuumHypothesisAssumed?| . 529378) (|genusNeg| . 527529) (|izamax| . 527343) (|noKaratsuba| . 527169) (|s17def| . 526930) (|df2fi| . 526790) (|extendedint| . 526444) (|unit?| . 526357) (|lfinfieldint| . 525985) (|negAndPosEdge| . 525691) (|romberg| . 525391) (|excpDivV| . 524886) (|gradient| . 524531) (|packModulus| . 524265) (|leftDiscriminant| . 523849) (|#| . 522468) (|pdf2df| . 522322) (|besselK| . 521867) (|string| . 521417) (|lazyEvaluate| . 521323) (|extend| . 519084) (|checkPrecision| . 518995) (|tab| . 518833) (|rangePascalTriangle| . 518575) (|check| . 517819) (|chiSquare| . 517675) (|cyclic| . 517524) (|simplifyPower| . 517367) (|unparse| . 517288) (|graeffe| . 517095) (|acsch| . 515900) (|relationsIdeal| . 515501) (|numberOfFractionalTerms| . 515374) (|evaluate| . 514383) (|mulbybinomial| . 514061) (|lfunc| . 513978) (|clearTheFTable| . 513888) (|bernoulliB| . 513673) (|drotg| . 513526) (|solveid| . 513291) (|flatten| . 513245) (|associates?| . 513155) (|toseInvertibleSet| . 512803) (|symbolTableOf| . 512684) (|fractionPart| . 512070) (|leaf?| . 511638) (|printStatement| . 511544) (|matrixGcd| . 511192) (|transcendenceDegree| . 510871) (|aQuadratic| . 510634) (|ground?| . 510048) (|sn| . 509873) (|continue| . 509785) (|write!| . 509651) (|viewpoint| . 507726) (|cyclicGroup| . 507424) (|iidsum| . 507226) (|width| . 506923) (|vark| . 506689) (|iiatan| . 506493) (|ramifiedAtInfinity?| . 506224) (|iCompose| . 506116) (|parent| . 505998) (|block| . 505903) (|nextPrimitiveNormalPoly| . 505727) (|zRange| . 505611) (|left| . 505030) (|symmetricTensors| . 504696) (|SturmHabichtSequence| . 504453) (|setpoint!| . 503945) (|packageCall| . 503796) (|basisOfLeftAnnihilator| . 503615) (|e01bhf| . 503401) (|removeRoughlyRedundantFactorsInContents| . 503079) (|removeRoughlyRedundantFactorsInPol| . 502789) (|symmetric?| . 502335) (|pomopo!| . 502182) (|symbolTable| . 502039) (|setButtonValue| . 501809) (|leadingSupport| . 501663) (|mindeg| . 501375) (|pow| . 500975) (|denomLODE| . 500152) (|makeViewport2D| . 499957) (|diagonals| . 499835) (|coerceP| . 499629) (|inc| . 499571) (|mulmod| . 499507) (|divide!| . 499343) (|pquo| . 498963) (|setEmpty!| . 498787) (|htrigs| . 498572) (SEGMENT . 498302) (|surface| . 498206) (|rationalPoint?| . 497604) (|atrapezoidal| . 497301) (|imagk| . 497199) (|exponential| . 496836) (|inv| . 495630) (|saturate| . 495140) (|shiftInfoRec| . 494570) (|setFoundPlacesToEmpty| . 494402) (|bfEntry| . 494161) (|commutator| . 494058) (|GospersMethod| . 493584) (|genericLeftTrace| . 493272) (|leftExtendedGcd| . 493052) (|failed| . 492745) (|differentialVariables| . 492470) (|minRowIndex| . 492003) (|shrinkable| . 491742) (|basisOfCommutingElements| . 491564) (|showFortranOutputStack| . 491462) (|setLegalFortranSourceExtensions| . 491369) (|factorFraction| . 491152) (|superHeight| . 491071) (|bumptab1| . 490900) (|reduceLODE| . 490487) (|resetVariableOrder| . 490395) (|reverseLex| . 490188) (|debug3D| . 490111) (|qShiftC| . 489862) (|zaxpy| . 489651) (|idealiserMatrix| . 489341) (|s17akf| . 489182) (|cyclicEntries| . 489061) (|secIfCan| . 488920) (|string?| . 488643) (|f01bsf| . 488341) (|wronskianMatrix| . 487880) (|subNodeOf?| . 487584) (|inGroundField?| . 487466) (|selectAndPolynomials| . 487040) (|cache| . 486924) (|cfirst| . 486703) (|splitDenominator| . 485112) (|empty| . 484142) (|pr2dmp| . 483791) (|eq| . 483511) (|copyslice| . 483347) (|leftOne| . 483227) (|binomThmExpt| . 483000) (|unitCanonical| . 482947) (|simpsono| . 482647) (|swapRows!| . 482424) (|leftQuotient| . 482130) (|generic| . 480444) (|radicalRoots| . 479880) (|mathieu23| . 479617) (|slex| . 479458) (|setClosed| . 479323) (|weierstrass| . 479116) (|interpretString| . 479005) (|socf2socdf| . 478812) (|cSech| . 478652) (|append| . 478572) (|posExpnPart| . 478472) (|void| . 478434) (|guessRec| . 471381) (|index| . 470846) (|deref| . 470764) (|compiledFunction| . 470240) (|setScreenResolution3D| . 470163) (|torsionIfCan| . 469186) (|zeroDimPrime?| . 468814) (|effective?| . 468689) (|segment| . 468395) (|rewriteIdealWithHeadRemainder| . 468084) (|iiacos| . 467888) (|lllip| . 467729) (|solveLinear| . 467205) (|firstNumer| . 467106) (|viewThetaDefault| . 466926) (|e01daf| . 466747) (|bandedJacobian| . 466347) (|definingInequation| . 466114) (|mainVariable| . 465351) (|btwFact| . 464970) (|c06ecf| . 464795) (|hMonic| . 464556) (|f04asf| . 464372) (|style| . 464162) (|unexpand| . 463846) (|numberOfComponents| . 463105) (|e02dcf| . 462798) (|OMsupportsSymbol?| . 462682) (|in?| . 462060) (|oddlambert| . 461567) (= . 460416) (|exprHasLogarithmicWeights| . 460110) (|cSec| . 459950) (|antiAssociative?| . 459610) (|e| . 459424) (|height| . 458490) (|rightUnit| . 458329) (|UP2ifCan| . 457865) (|thetaCoord| . 457751) (|startTableGcd!| . 456986) (|validExponential| . 456577) (|separate| . 455891) (|digits| . 455270) (|OMreceive| . 455143) (|aCubic| . 454903) (|ScanFloatIgnoreSpaces| . 454794) (|iisinh| . 454598) (|f02agf| . 454427) (|newtonPolygon| . 454025) (|rightQuotient| . 453887) (|semiDegreeSubResultantEuclidean| . 453611) (|max| . 453044) (|triangular?| . 452736) (|mirror| . 452092) (|systemSizeIF| . 451685) (|Not| . 451555) (|asimpson| . 451252) (|schwerpunkt| . 451040) (|adaptive| . 450663) (|abs| . 449733) (|getMatch| . 449554) (|sqfree| . 449237) (|selectPolynomials| . 448820) (|function| . 448111) (|possiblyInfinite?| . 447993) (|lastNonNul| . 447866) (|pToDmp| . 447654) (|factorAndSplit| . 447495) (|e04ucf| . 446951) (|transpose| . 446099) (|compile| . 445978) (|axes| . 445543) (|swap| . 445243) (|fortranCarriageReturn| . 445163) (|makeop| . 444857) (|foundPlaces| . 444689) (|close| . 444414) (|fullInfClsPt| . 443966) (|open| . 443677) (|ode1| . 443449) (|slash| . 443399) (|symbol| . 443150) (|e01sbf| . 442891) (|safeCeiling| . 442728) (|s21bdf| . 442560) (|expressIdealMember| . 442454) (|Ei1| . 442329) (|denominator| . 441942) (|directory| . 441854) (|setMinPoints| . 441779) (|sumSquares| . 441643) (|f04qaf| . 441326) (|setImagSteps| . 441244) (|exprToUPS| . 440365) (|squareFreeFactors| . 440046) (|ground| . 439811) (|debug| . 439527) (|algDsolve| . 438992) (|polyRing2UPUP| . 438554) (|exprHasAlgebraicWeight| . 438225) (|reverse| . 437823) (|collect| . 437483) (|univariatePolynomial| . 436607) (|maxDerivative| . 436329) (|OMgetEndApp| . 436247) (|error| . 435769) (|multiple?| . 435654) (|rowEchLocal| . 435509) (|evalADE| . 435068) (|resultantnaif| . 434902) (|objectOf| . 434825) (|minimize| . 434544) (|prinpolINFO| . 434252) (|e02ajf| . 434035) (|hash| . 432955) (|patternMatch| . 428830) (|reportInstantiations| . 428707) (|e02daf| . 428436) (|evenInfiniteProduct| . 427550) (|viewDefaults| . 427466) (|closed?| . 427241) (|reduceByQuasiMonic| . 426985) (|realElementary| . 426304) (|cn| . 426129) (|limit| . 423912) (|nthExponent| . 423790) (|Gamma| . 423066) (|removeRedundantFactors| . 421576) (|reducedSystem| . 421179) (|swapColumns!| . 420956) (|Is| . 419739) (|univariatePolynomials| . 419368) (|trigs| . 418760) (|OMgetBind| . 418678) (|selectOrPolynomials| . 418252) (|mainMonomials| . 418037) (|makeFloatFunction| . 417599) (|t| . 417455) (|rightUnits| . 416828) (|radicalEigenvalues| . 416647) (|triangularSystems| . 416399) (|affineAlgSet| . 415488) (|divisors| . 415352) (|contract| . 414570) (|nextNormalPoly| . 414394) (|characteristicSet| . 413728) (|zeroSetSplitIntoTriangularSystems| . 413369) (|ran| . 413112) (|iicsc| . 412916) (|integralRepresents| . 412639) (|createMultiplicationTable| . 412385) (|LyndonBasis| . 412091) (|createPrimitiveNormalPoly| . 411889) (|setFormula!| . 411788) (|vconcat| . 411648) (|lp| . 411517) (|addPointLast| . 411322) (|algebraicDecompose| . 410374) (|dasum| . 410196) (|homogeneous| . 409924) (|dimension| . 408566) (|palgint0| . 407551) (|e02agf| . 407277) (|infinity| . 407086) (|upDateBranches| . 405803) (|henselFact| . 405230) (|multiplicative?| . 405077) (|bandMatrix| . 404515) (|getMultiplicationTable| . 403737) (|mainPrimitivePart| . 403518) (|diophantineSystem| . 403173) (|continuedFraction| . 402244) (|randomLC| . 401891) (|build| . 401412) (|rationalIfCan| . 400012) (|diagonalMatrix| . 398739) (|factorSquareFreePolynomial| . 398550) (|hadamard| . 398387) (|subResultantGcdEuclidean| . 398145) (|double?| . 398057) (|signAround| . 397313) (|transform| . 397049) (|elt| . 387988) (|laplace| . 387602) (|outputArgs| . 387230) (|bumprow| . 386941) (|subCase?| . 386112) (|quatern| . 385999) (|fixPredicate| . 385701) (|pointColor| . 385544) (|subresultantSequence| . 385301) (|generalInterpolation| . 383334) (|mathieu22| . 383071) (|fractRagits| . 382946) (|cExp| . 382786) (|coercePreimagesImages| . 382658) (|iidprod| . 382460) (|shellSort| . 382202) (|getShiftRec| . 381712) (|member?| . 380243) (|qroot| . 379679) (|leastMonomial| . 379492) (|resetAttributeButtons| . 379411) (|infieldint| . 379157) (|enqueue!| . 378893) (|OMputError| . 378811) (|drift| . 378682) (|scripted?| . 378605) (|showTheRoutinesTable| . 378558) (|s19acf| . 378399) (|showClipRegion| . 378277) (|s17dhf| . 378073) (|unitsColorDefault| . 377899) (|rotatex| . 377758) (|comp| . 377502) (|singularitiesOf| . 376637) (|hyperelliptic| . 376083) (|returnType!| . 375540) (|unitNormal| . 375396) (|newLine| . 375315) (|e04gcf| . 375056) (|setOrder| . 374738) (|doubleResultant| . 374422) (|round| . 374367) (|splitConstant| . 373964) (|checkRur| . 373519) (GF2FG . 373126) (|pToHdmp| . 372903) (|lexico| . 372547) (|mulbyscalar| . 372383) (|OMsupportsCD?| . 372270) (|antiCommutative?| . 371930) (|high| . 371840) (RF2UTS . 371500) (|useNagFunctions| . 371078) (|truncatedmultiplication| . 370939) (|columns| . 370361) (|fortranDoubleComplex| . 370316) (** . 364472) (|startPolynomial| . 364203) (|monicLeftDivide| . 363675) (|sin2csc| . 363460) (|nlde| . 363233) (|LiePolyIfCan| . 362860) (|initial| . 362613) (|cot2tan| . 362398) (|bringDown| . 361859) (|copy| . 360888) (|matrixConcat3D| . 360753) (|OMsend| . 360598) (|e01baf| . 360419) (|dequeue!| . 360164) (|suffix?| . 360073) (|univariatePolynomialsGcds| . 359407) (|controlPanel| . 359168) (|mapDown!| . 358877) (|tubePlot| . 357586) (|pushucoef| . 357169) (|top| . 356827) (|diff| . 356415) (|prod| . 356271) (|isList| . 356134) (|elements| . 355950) (|mat| . 355757) (|heapSort| . 355499) (|ratpart| . 355408) (|mapExponents| . 354938) (|branchIfCan| . 353949) (|makeMulti| . 353731) (|permutationGroup| . 353591) (|dom| . 353513) (|mightHaveRoots| . 353289) (|hermite| . 352883) (|oddInfiniteProduct| . 351997) (|allDegrees| . 351785) (|characteristicPolynomial| . 349840) (|quasiRegular| . 349593) (|findCycle| . 349342) (|infLex?| . 349037) (|argumentList!| . 348626) (|tomodpa| . 348434) (|cCot| . 348274) (|shiftLeft| . 348129) (|baseRDEsys| . 347820) (|balancedFactorisation| . 347349) (|getMultiplicationMatrix| . 346692) (|component| . 346174) (|jacobi| . 346072) (|OMgetEndObject| . 345990) (|listVariable| . 345710) (|headReduced?| . 344690) (|acscIfCan| . 344549) (|dilog| . 344254) (|cTan| . 344094) (|cycleElt| . 343946) (|figureUnits| . 343792) (|orbit| . 342648) (|redmat| . 342270) (|f04mcf| . 342029) (|createMultiplicationMatrix| . 341795) (|entry| . 340706) (|f01brf| . 340370) (|lazyPseudoRemainder| . 340265) (|graphState| . 340012) (|evenlambert| . 339519) (|upperCase| . 339377) (|selectOptimizationRoutines| . 339327) (> . 339194) (|getExplanations| . 339072) (|toseInvertible?| . 338322) (|integralBasisAtInfinity| . 338051) (|stoseLastSubResultant| . 337646) (|OMunhandledSymbol| . 337533) (|eigenvector| . 337216) (|precision| . 336805) (|normDeriv2| . 336480) (|harmonic| . 336340) (|coHeight| . 336019) (|replaceKthElement| . 335862) (|complexExpand| . 335214) (|rewriteSetByReducingWithParticularGenerators| . 334792) (|directSum| . 334424) (|setexcpDiv!| . 333916) (|positive?| . 333439) (|setchart!| . 332931) (|prime| . 332792) (|isAbsolutelyIrreducible?| . 332384) (|homogeneous?| . 332066) (|brillhartIrreducible?| . 331764) (|solid| . 331665) (|maxPoints| . 331428) (|multiEuclideanTree| . 331303) (|normal?| . 330777) (|singular?| . 330236) (|relativeApprox| . 329676) (|initializeGroupForWordProblem| . 329403) (|inR?| . 329288) (|qShiftAction| . 329061) (|rombergo| . 328761) (|tRange| . 328580) (|roughUnitIdeal?| . 328272) (|reduced?| . 327481) (|mkPrim| . 327233) (|isOp| . 326873) (|bivariate?| . 326586) (|doubleComplex?| . 326498) (|besselY| . 326043) (|f07fef| . 325848) (|sinhcosh| . 325607) (|s17adf| . 325448) (|extractSplittingLeaf| . 325262) (|hasoln| . 324815) (|tubePoints| . 324587) (|generalizedEigenvectors| . 324236) (|extractIndex| . 324079) (|palgRDE0| . 322980) (|cAcos| . 322820) (|clearTheIFTable| . 322729) (|setrest!| . 322476) (|zeroOf| . 321805) (|indiceSubResultantEuclidean| . 321512) (|moduleSum| . 321126) (|numberOfChildren| . 320969) (|cycleEntry| . 320871) (|leftTrim| . 320683) (|orderIfNegative| . 320545) (|seed| . 320459) (|generateIrredPoly| . 320261) (|prinb| . 319969) (|roughBase?| . 319661) (|solveLinearPolynomialEquationByRecursion| . 318947) (|kroneckerDelta| . 318782) (|flexibleArray| . 318521) (|setStatus| . 318238) (|rdHack1| . 318005) (|lex| . 317874) (|SturmHabichtMultiple| . 317627) (|horizConcat| . 317169) (|ref| . 317087) (|f04maf| . 316837) (|getMeasure| . 316725) (|palgLODE0| . 315462) (|OMgetString| . 315378) (OR . 315160) (|interpolate| . 313871) (|parametrize| . 310588) (|simpleBounds?| . 310445) (|minColIndex| . 309978) (|associator| . 309916) (|createLowComplexityTable| . 309666) (|rightExtendedGcd| . 309446) (|outputFixed| . 309267) (|f02bjf| . 309027) (|s15adf| . 308868) (|approximate| . 307737) (|reduceRow| . 307615) (|rightTrim| . 307427) (|functionName| . 307217) (|normalise| . 307101) (|xRange| . 306872) (|functionIsOscillatory| . 306569) (|squareFreeLexTriangular| . 306108) (|OMputAtp| . 306026) (|morphism| . 305660) (|subspace| . 305196) (|computeInt| . 304773) (|biringToPolyRing| . 304375) (|newReduc| . 304155) (|coefficients| . 303312) (|primaryDecomp| . 302760) (|leftTrace| . 302643) (|contractSolve| . 301987) (|usingTable?| . 301818) (|paraboloidal| . 301634) (|pointPlot| . 300968) (|rroot| . 300445) (|setEpilogue!| . 300256) (|value| . 299832) (|yRange| . 299603) (|any?| . 298408) (|coefficient| . 295385) (|linears| . 295223) (|solveInField| . 294286) (|removeRoughlyRedundantFactorsInPols| . 293678) (|OMgetError| . 293596) (|removeCosSq| . 293381) (|interReduce| . 293094) (|apply| . 292351) (|partialQuotients| . 292220) (|option?| . 292069) (|iisqrt2| . 291876) (|monic?| . 291476) (|retractable?| . 290665) (|semiResultantEuclidean2| . 290434) (|cross| . 290129) (|taylorIfCan| . 289943) (|lprop| . 289795) (|halfExtendedSubResultantGcd1| . 289243) (|linearPart| . 289128) (|sizePascalTriangle| . 288999) (|leftZero| . 288883) (|cAcsch| . 288723) (|f04faf| . 288536) (|currentSubProgram| . 288455) (|right| . 287874) (|expr| . 287625) (|myDegree| . 287210) (|exactQuotient!| . 286759) (|tan2cot| . 286544) (|common| . 286424) (|exptMod| . 286046) (|allRootsOf| . 285004) (|iicot| . 284808) (|getButtonValue| . 284693) (|xn| . 284486) (|reduction| . 283936) (|expPot| . 283748) (|cyclotomicFactorization| . 283578) (|contains?| . 283397) (|minPol| . 282737) (|rowEchWoZeroLinesWOVectorise| . 282622) (|expandPower| . 282407) (|yellow| . 282368) (|eigenvalues| . 282112) (|FormatArabic| . 281993) (|linearDependence| . 281771) (|regularRepresentation| . 281365) (|genericRightNorm| . 281053) (|setMinPoints3D| . 280976) (|fullDesTree| . 280528) (|exprHasWeightCosWXorSinWX| . 280158) (|cCos| . 279998) (|explogs2trigs| . 279605) (|algebraic?| . 279206) (|constant| . 278240) (|pleskenSplit| . 277756) (|mix| . 277434) (|padicallyExpand| . 277282) (LE . 277064) (|sequences| . 276758) (|numer| . 275495) (|monicDecomposeIfCan| . 275213) (|kovacic| . 274420) (|leftUnit| . 274259) (|symmetricProduct| . 273891) (|nullary| . 273765) (|readable?| . 273676) (|headRemainder| . 273336) (|setDegree!| . 273129) (|exactQuotient| . 272678) (|mapMatrixIfCan| . 272276) (|leftPower| . 272090) (|c02aff| . 271887) (|leftRegularRepresentation| . 271567) (|primextintfrac| . 271240) (|terms| . 270624) (|domainOf| . 270547) (|minimalPolynomial| . 269792) (|hi| . 269702) (|s21baf| . 269540) (|basisOfRightNucloid| . 269351) (|finiteBasis| . 269051) (|complexIntegrate| . 268332) (|uncorrelated?| . 267742) (|lfextendedint| . 267304) (|reshape| . 266575) (|df2ef| . 266435) (|integralAtInfinity?| . 266163) (|singleFactorBound| . 265440) (|mainVariables| . 265169) (|meshPar1Var| . 264839) (|d01anf| . 264589) (|chiSquare1| . 264457) (|monicDivide| . 264034) (|makeUnit| . 263885) (|makeCrit| . 263426) (|quo| . 263267) (|symmetricPower| . 262821) (|outputFloating| . 262642) (|qelt| . 262035) (|rootsOf| . 261224) (|ellipticCylindrical| . 261015) (|reducedDiscriminant| . 260730) (|times| . 260482) (|logical?| . 260394) (|useSingleFactorBound| . 260236) (|fixedPointExquo| . 260042) (|leviCivitaSymbol| . 259877) (|listConjugateBases| . 259372) (|f02fjf| . 258585) (|e02adf| . 258409) (|deepExpand| . 258198) (|groebgen| . 257866) (|intPatternMatch| . 257192) (|clipBoolean| . 257058) (|initiallyReduced?| . 256038) (|setfirst!| . 255895) (|rationalPlaces| . 254644) (|isExpt| . 253018) (|firstSubsetGray| . 252881) (|nodes| . 252760) (|c06ebf| . 252588) (|is?| . 251484) (|iicsch| . 251288) (|listLoops| . 251124) (|OMputAttr| . 251042) (|rdregime| . 250420) (|UpTriBddDenomInv| . 250159) (|purelyTranscendental?| . 249873) (|noLinearFactor?| . 249722) (|universe| . 249596) (|infinite?| . 249348) (|linearAssociatedLog| . 248970) (|remainder| . 248611) (|createGenericMatrix| . 248432) (|members| . 247400) (|d01alf| . 247107) (|polar| . 246923) (|critMTonD1| . 246560) (|head| . 246120) (|sturmVariationsOf| . 245858) (|stopTable!| . 245183) (|laplacian| . 244858) (|mapdiv| . 244696) (|degree| . 239893) (|medialSet| . 239227) (|checkOptions| . 239097) (|rightFactorCandidate| . 238901) (|mapUnivariateIfCan| . 238540) (|ScanArabic| . 238421) (|minset| . 238067) (|bubbleSort!| . 237524) (|optimize| . 236288) (GE . 236070) (|semiLastSubResultantEuclidean| . 235836) (BY . 235715) (|lowerCase!| . 235661) (|curryLeft| . 235418) (|wholeRagits| . 235295) (|normal| . 235161) (|subs2ndVar| . 234903) (|rquo| . 233995) (|over| . 233945) (|OMputString| . 233833) (|vectoraddmul| . 233663) (|squareFreePrim| . 233387) (|OMreadFile| . 233278) (|OMputEndBind| . 233196) (|elem?| . 233077) (|trailingCoefficient| . 232920) (|llprop| . 232763) (|viewWriteDefault| . 232573) (|vectorise| . 232279) (|d02gaf| . 231957) (|commaSeparate| . 231745) (|algebraicSort| . 231058) (|recolor| . 230793) (|setValue!| . 230614) (|complexRoots| . 230096) (|c06fuf| . 229882) (|multV| . 229356) (|goto| . 229268) (|prevPrime| . 229160) (+ . 226465) (|units| . 225838) (|foundZeroes| . 225720) (|outputAsScript| . 225476) (|removeSinSq| . 225261) (|getSmgl| . 225154) (|ord| . 225074) (|cap| . 224907) (|graphImage| . 224863) (|argscript| . 224771) (|expand| . 222879) (|prefix| . 222783) (|e02baf| . 222607) (|rspace| . 222523) (|trace| . 221706) (|chebyshevT| . 221393) (|consnewpol| . 220893) (|shift| . 220362) (|pseudoQuotient| . 220219) (|copyBSD| . 220095) (|cAcosh| . 219935) (|extensionDegree| . 219247) (|stop| . 219202) (|dominantTerm| . 218528) (|localUnquote| . 218180) (|prepareSubResAlgo| . 217776) (|options| . 217355) (|s13acf| . 217196) (|pi| . 216727) (|numberOfImproperPartitions| . 216618) (|dimensions| . 216265) (|extension| . 216177) (|legendre| . 215904) (|imagJ| . 215701) (|Aleph| . 215605) (|d01apf| . 215352) (|sign| . 212934) (|binarySearchTree| . 212811) (|expintfldpoly| . 212487) (|nthFactor| . 211640) (|lift| . 209739) (|commutative?| . 209399) (|log10| . 209093) (|s20adf| . 208934) (|splitNodeOf!| . 208426) (|denomRicDE| . 208048) (|printInfo!| . 207849) (|normalized?| . 206829) (|listRepresentation| . 206656) (|lazyGintegrate| . 206406) (|eisensteinIrreducible?| . 206248) (|cAtanh| . 206088) (|insertionSort!| . 205545) (|cubicBezier| . 205386) (|insertTop!| . 205205) (|clipParametric| . 204627) (|cAcoth| . 204467) (|shufflein| . 204311) (|maxrow| . 204017) (|reset| . 203134) (|fortranLiteral| . 203024) (|property| . 202903) (|leftExactQuotient| . 202589) (|alphabetic| . 202541) (|stFuncN| . 202242) (|repeating| . 202135) (|moebius| . 202036) (|chvar| . 201648) (|laguerreL| . 201338) (|tex| . 201250) (|addMatch| . 201078) (|subMatrix| . 200268) (|e02zaf| . 200083) (|s14abf| . 199924) (|rk4a| . 199631) (|fresnelC| . 199243) (|asinIfCan| . 199102) (|lyndon| . 198972) (|tanintegrate| . 198573) (|placesOfDegree| . 196330) (|char| . 196174) (|makeSeries| . 195929) (|acoth| . 194734) (|icamax| . 194588) (|factors| . 193901) (|setvalue!| . 193763) (|primlimintfrac| . 193362) (|s13aaf| . 193203) (|copyDrift| . 192991) (|reduceRowOnList| . 192838) (|iiBesselJ| . 192636) (|f07fdf| . 192450) (|s17aef| . 192291) (|s18adf| . 192132) (|bracket| . 191995) (|DiffC| . 191749) (|perspective| . 191627) (|lazyPseudoQuotient| . 191522) (|decreasePrecision| . 191350) (|useEisensteinCriterion?| . 191195) (|infiniteProduct| . 190309) (|numeric| . 188732) (|pointV| . 188227) (|e02aef| . 188028) (|curve| . 187319) (|ratDenom| . 185632) (|e02bbf| . 185430) (|LyndonWordsList| . 185231) (|vedf2vef| . 185054) (|dot| . 184543) (|badValues| . 184357) (|weight| . 183453) (|approxNthRoot| . 183311) (|drawStyle| . 183189) (|upperCase!| . 183135) (|generalTwoFactor| . 182860) (|suppOfZero| . 182735) (|tubeRadiusDefault| . 182527) (|rischNormalize| . 182066) (|maxSubst| . 181794) (|coth| . 180602) (|complexNumericIfCan| . 177547) (|lagrange| . 177054) (|factorByRecursion| . 176358) (|moduloP| . 176262) (|coerceL| . 176041) (|root?| . 175895) (|lastSubResultantEuclidean| . 175644) (|set| . 175434) (|nor| . 175336) (|alphanumeric?| . 175256) (|weights| . 174666) (|halfExtendedSubResultantGcd2| . 174114) (|hasHi| . 173997) (|binaryFunction| . 173721) (|expenseOfEvaluationIF| . 173314) (|log2| . 173191) (|s17ajf| . 173032) (|collectQuasiMonic| . 172779) (|completeEval| . 172388) (|nthCoef| . 172199) (|irreducible?| . 171590) (|sort!| . 171235) (|extendedIntegrate| . 170854) (|findCoef| . 170723) (|trapezoidalo| . 170423) (|gcdPolynomial| . 169875) (|leftFactor| . 169708) (|acos| . 168327) (|wholeRadix| . 168204) (|ramified?| . 167663) (|collectUnder| . 167417) (|setsubmult!| . 166888) (|stronglyReduce| . 166632) (UTS2UP . 166319) (|rational?| . 164509) (|display| . 163237) (|getCode| . 163151) (|cCosh| . 162991) (|tracePowMod| . 162778) (|symmetricRemainder| . 162717) (|screenResolution3D| . 162643) (|clearTable!| . 162477) (|op| . 162321) (|ParCond| . 161813) (|crushedSet| . 161526) (|groebnerFactorize| . 160079) (|d02gbf| . 159673) (|quotedOperators| . 159327) (|d02bhf| . 158942) (|isamax| . 158808) (|setScreenResolution| . 158733) (|dihedral| . 158582) (|cCsch| . 158422) (|imag| . 157682) (|iiasin| . 157486) (|factorSqFree| . 156901) (|elColumn2!| . 156603) (|script| . 156239) (|applyQuote| . 155585) (|gbasis| . 155284) (|isTimes| . 154350) (|addiag| . 154178) (|nullity| . 153002) (|printTypes| . 152817) (|LyndonCoordinates| . 152523) (|lexTriangular| . 152218) (|tan2trig| . 152003) (|forLoop| . 151722) (|numberOfComputedEntries| . 151589) (|dfRange| . 151456) (|ddFact| . 151222) (|stripCommentsAndBlanks| . 151135) (|infix| . 150989) (|euclideanGroebner| . 150095) (|innerEigenvectors| . 149644) (|meatAxe| . 148562) (|quadratic| . 148041) (|approximants| . 147897) (|innerint| . 147257) (|functionIsFracPolynomial?| . 146939) (|pushuconst| . 146568) (|fillPascalTriangle| . 146453) (|simplifyExp| . 146238) (|distFact| . 145596) (|e02def| . 145414) (|unaryFunction| . 145172) (|OMmakeConn| . 145077) (|setOfMinN| . 144893) (|semiResultantReduitEuclidean| . 144624) (|karatsuba| . 144405) (|digit| . 144357) (|coordinates| . 142231) (|setlocalParam!| . 141693) (|getlo| . 141207) (|tree| . 140543) (|isPlus| . 139602) (|leftTraceMatrix| . 139096) (|cartesian| . 138912) (|mergeFactors| . 138769) (|list| . 138355) (|reindex| . 138147) (|monicRightDivide| . 137619) (|setprevious!| . 137478) (F . 137331) (|digit?| . 137251) (|getOp| . 136864) (|power!| . 136678) (|algebraicSet| . 136274) (|concat!| . 135653) (|createThreeSpace| . 135548) (|reorder| . 134908) (|polyRicDE| . 133929) (|numberOfHues| . 133848) (|neglist| . 133715) (|firstUncouplingMatrix| . 133452) (|copy!| . 133314) (|merge!| . 132843) (|Hausdorff| . 132578) (|palgint| . 132129) (|cAcsc| . 131969) (|comparison| . 131834) (|skewSFunction| . 131671) (|parametersOf| . 131581) (|inverse| . 129852) (|cyclicEqual?| . 129737) (|pointToPlace| . 129276) (|lieAdmissible?| . 128936) (|rational| . 127616) (|s20acf| . 127457) (|mdeg| . 127231) (|strongGenerators| . 127091) (|twist| . 126848) (|module| . 126187) (|innerSolve1| . 125656) (|explicitEntries?| . 125534) (|algebraicOf| . 125246) (|assoc| . 125031) (|OMgetObject| . 124949) (|type| . 124810) (|numberOfFactors| . 124433) (|edf2efi| . 124263) (|OMputEndAtp| . 124181) (|makeSUP| . 124028) (|basisOfNucleus| . 123850) (|patternMatchTimes| . 123380) (|plot| . 121497) (|multiEuclidean| . 121396) (|maxdeg| . 121105) (|matrix| . 120088) (|rest| . 119312) (|sin| . 117842) (|c02agf| . 117639) (|gcdcofact| . 117496) (|symbNameV| . 116962) (|rootSimp| . 116405) (|showTheSymbolTable| . 116357) (|difference| . 116166) (|OMencodingBinary| . 116116) (|vector| . 115892) (|removeCoshSq| . 115677) (|cotIfCan| . 115536) (|showTheIFTable| . 115476) (|factorSquareFree| . 113512) (|imagj| . 113410) (|hexDigit?| . 113330) (|rules| . 112974) (|var1Steps| . 112746) (|monomialIntPoly| . 112488) (|jacobian| . 111922) (|fractRadix| . 111796) (|lazyVariations| . 111500) (|declare!| . 110741) (|crest| . 110520) (|multiplyExponents| . 110042) (|select!| . 109710) (|linearlyDependent?| . 109500) (|d02kef| . 108660) (|empty?| . 107564) (|setRow!| . 107328) (|powmod| . 107264) (|parse| . 107185) (|Ei4| . 107060) (|monomial2series| . 106850) (|radicalOfLeftTraceForm| . 106672) (|beauzamyBound| . 106330) (|f01rcf| . 106139) (|iiacoth| . 105943) (|freeOf?| . 105532) (|wholePart| . 105108) (|queue| . 104995) (|primPartElseUnitCanonical!| . 104771) (|zeroDimensional?| . 104318) (|optAttributes| . 103814) (|leadingBasisTerm| . 103552) (|factorials| . 103029) (|position| . 102147) (|definingEquations| . 101886) (|drawCurves| . 101408) (|makeSin| . 101200) (|quadraticNorm| . 100886) (|child?| . 100728) (|insertRoot!| . 100630) (|outputAsFortran| . 99758) (|symbolIfCan| . 99636) (|atan| . 98165) (|cRationalPower| . 97983) (|squareMatrix| . 97828) (|semiIndiceSubResultantEuclidean| . 97552) (|linearDependenceOverZ| . 97345) (|KrullNumber| . 96490) (|rightExactQuotient| . 96342) (|construct| . 92022) (|polyPart| . 91831) (|polCase| . 91484) (|expandLog| . 91269) (|prefixRagits| . 91146) (|mindegTerm| . 90948) (|adjunctionDivisor| . 89092) (|ravel| . 88896) (|fortranTypeOf| . 88780) (|e02ahf| . 88566) (|tanhIfCan| . 88425) (|frobenius| . 88245) (|weakBiRank| . 88053) (|indexName| . 87843) (|integer?| . 87344) (|DiffAction| . 87120) (|f01rdf| . 86884) (|functionIsContinuousAtEndPoints| . 86263) (|ScanRoman| . 86144) (|removeSquaresIfCan| . 85857) (|retractIfCan| . 78161) (|polynomial| . 77364) (|radicalEigenvectors| . 77066) (|equality| . 76931) (|guessBinRat| . 69878) (|iter| . 69691) (|factorSquareFreeByRecursion| . 68995) (|f04jgf| . 68770) (|tan| . 67392) (|not| . 67209) (|mathieu11| . 66946) (|polygamma| . 66413) (|largest| . 66066) (|projectivePoint| . 65325) (|alterQuadVar!| . 65132) (|exquo| . 63632) (|numericalOptimization| . 63042) (|nextIrreduciblePoly| . 62866) (|elRow2!| . 62568) (|resetNew| . 62497) (|OMreadStr| . 62388) (|rightPower| . 62202) (|leadingCoefficientRicDE| . 61739) (|coleman| . 61579) (|showIntensityFunctions| . 61004) (|aQuartic| . 60761) (|basisOfCenter| . 60583) (|unrankImproperPartitions0| . 60434) (|fullPartialFraction| . 60211) (|topFortranOutputStack| . 60119) (|monicCompleteDecompose| . 59879) (|eigenvectors| . 59492) (|stepBlowUp| . 58735) (|safetyMargin| . 58393) (|karatsubaOnce| . 58219) (|leftRankPolynomial| . 57452) (|computePowers| . 57263) (|qsetelt!| . 56851) (|rationalPoints| . 54536) (EQ . 54318) (|rationalApproximation| . 53785) (|label| . 53735) (|localParamOfSimplePt| . 53213) (|s17dgf| . 53009) (|countRealRoots| . 52797) (|newTypeLists| . 52711) (|resultantReduitEuclidean| . 52425) (|summary| . 52333) (|constant?| . 51918) (|pointColorPalette| . 51784) (|changeThreshhold| . 51669) (|OMgetEndBind| . 51587) (|f02bbf| . 51378) (|overlap| . 50940) (|constantOperator| . 50770) (|complexSolve| . 49677) (|mask| . 49619) (|OMputFloat| . 49502) (|lfextlimint| . 48992) (|OMconnectTCP| . 48836) (|rationalPower| . 48618) (|cyclic?| . 48388) (|iiacsc| . 48192) (|df2mf| . 48060) (|c06gqf| . 47885) (|region| . 47726) (E1 . 47569) (|shiftRoots| . 47406) (|c06gcf| . 47234) (|charpol| . 46969) (|palginfieldint| . 46504) (|returns| . 45868) (|init| . 45637) (|lyndonIfCan| . 45497) (|getDomains| . 45365) (|random| . 44112) (LODO2FUN . 43798) (|numberOfNormalPoly| . 43646) (|discreteLog| . 43423) (|rightMult| . 43268) (|mr| . 42964) (|vertConcat| . 42506) (|minPoints3D| . 42432) (|fortran| . 42220) (|irreducibleFactors| . 41854) (|axServer| . 41691) (|suppOfPole| . 41566) (|critMonD1| . 41200) (|root| . 40951) (|rectangularMatrix| . 40751) (|dim| . 40675) (|primitivePart| . 39508) (|Or| . 39372) (|removeZero| . 39116) (|const| . 38950) (|modifyPointData| . 38607) (|LowTriBddDenomInv| . 38346) (|nextPartition| . 38010) (|scan| . 36016) (|Yun| . 35805) (|rubiksGroup| . 35692) (|sinhIfCan| . 35551) (|e02gaf| . 35343) (|shiftRight| . 35198) (|ShiftAction| . 34974) (|FormatRoman| . 34855) (|rotatey| . 34714) (|fffg| . 34273) (|setelt!| . 34120) (|totalGroebner| . 33948) (|modularFactor| . 33737) (|maxPower| . 33465) (|subs1stVar| . 33207) (|degreeOfMinimalForm| . 32953) (|expIfCan| . 32812) (|lineColorDefault| . 32638) (|writeLine!| . 32482) (|isQuotient| . 32183) (|e01sef| . 31963) (|triangulate| . 31286) (|even?| . 30945) (|stack| . 30832) (|asinhIfCan| . 30691) (|numberOfPlacesOfDegree| . 29282) (|s14aaf| . 29123) (|fullOutput| . 26348) (|eq?| . 25693) (|OMlistCDs| . 25602) (|reopen!| . 25441) (|Ei5| . 25316) (|pascalTriangle| . 25153) (|readLineIfCan!| . 25065) (|createIrreduciblePoly| . 24863) (|OMputBVar| . 24781) (|integerDecode| . 24690) (|hermiteH| . 24535) (|associative?| . 24195) (^ . 23595) (|elliptic?| . 23065) (|generalizedEigenvector| . 22297) (|super| . 22247) (|e02bcf| . 22042) (|complexForm| . 21357) (|fibonacci| . 21258) (|oddintegers| . 21090) (|monomial?| . 20174) (|monomials| . 19380) (|split| . 17307) (|factorList| . 16745) (|selectFiniteRoutines| . 16695) (|iiacosh| . 16499) (|subscript| . 16407) (|retract| . 7199) (|ScanFloatIgnoreSpacesIfCan| . 7080) (|nsqfree| . 6555) (|c06fqf| . 6347) (|completeEchelonBasis| . 6181) (|subPolSet?| . 5432) (|zCoord| . 5318) (|generalCoefficient| . 4920) (|perfectSquare?| . 4792) (|multinomial| . 4645) (|hasTopPredicate?| . 4530) (|cTanh| . 4370) (|basisOfLeftNucleus| . 4192) (|s18aef| . 4033) (|ocf2ocdf| . 3864) (|OMputBind| . 3782) (|filterUntil| . 3528) (|lazyIntegrate| . 3297) (|divOfPole| . 3200) (|sech2cosh| . 2985) (|tanQ| . 2614) (|representationType| . 2488) (|argumentListOf| . 2365) (|stoseInvertible?reg| . 1954) (|anticoord| . 1658) (|showAllElements| . 1514) (|monom| . 1063) (|qPot| . 884) (|setref| . 799) (|divergence| . 474) (|overbar| . 427) (|prindINFO| . 30))