axiom-databases 20140801-12 / usr / share / axiom-20140801 / algebra / operation.daase

(1566386 . 3614189654)       
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(((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*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|))))) 
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(((*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) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*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 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Partition|))))) 
(((*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 *2 *1) (|partial| AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PrincipalIdealDomain|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*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 (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*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) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *1 *1) (|partial| |ofCategory| *1 (|StepThrough|)))) 
(((*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 *3 *3 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
(((*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|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|OrderedFreeMonoid| *4)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LyndonWord| *4))))) 
(((*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 *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 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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 *3 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|List| *4))) (|isDomain| *1 (|TableauxBumpers| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*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| *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 *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 *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 *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 *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 *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 *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 *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 *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 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|IntegerNumberSystem|)) (|isDomain| *1 (|IntegerCombinatoricFunctions| *2))))) 
(((*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 (|Polynomial| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *5)) (|isDomain| *1 (|PolToPol| *4 *5)) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*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| (|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) (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 (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Tableau| (|List| *4))) (|isDomain| *1 (|TableauxBumpers| *4)) (|isDomain| *3 (|List| *4))))) 
(((*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 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *1) (|ofCategory| *1 (|FiniteFieldCategory|)))) 
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(((*1 *2 *3 *4 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|BlasLevelOne|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|))))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
(((*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 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BalancedBinaryTree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|ExtAlgBasis|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Segment| (|OrderedCompletion| (|Float|)))) (|isDomain| *2 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
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(((*1 *1 *1 *2 *2 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|)))) ((*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 *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 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AlgFactor| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|AlgebraicNumber|)))))) 
(((*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 *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 *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 *2) (AND (|isDomain| *2 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*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) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|GaussianFactorizationPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*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 *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 *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 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*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 *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 *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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Symbol|))))) 
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(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*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) (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|))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Boolean|) (|BasicOperator|) (|BasicOperator|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*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|))))) 
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(((*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 *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|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|StreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*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 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|OpenMathConnection|))))) 
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(((*1 *2 *3 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|List| (|Integer|)))))) 
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(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|OpenMathPackage|))))) 
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(((*1 *2 *1 *1) (AND (|isDomain| *2 (|List| (|NewSparseUnivariatePolynomial| *3))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|ExpressionTubePlot|)) (|isDomain| *3 (|DoubleFloat|))))) 
(((*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))))) 
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(((*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 (|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 *1) (AND (|isDomain| *1 (|IntegrationResult| *2)) (|ofCategory| *2 (|Field|))))) 
(((*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 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3))))) 
(((*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 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*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 *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 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Stream| (|Polynomial| *4)) (|Stream| (|Polynomial| *4)))) (|isDomain| *1 (|WeierstrassPreparation| *4)) (|ofCategory| *4 (|Field|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*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 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*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 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariatePolynomialCategory| *4))))) 
(((*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) (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 *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 *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 *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 *2 *1) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|PatternMatchResult| *3 *4)) (|isDomain| *1 (|PatternMatchListResult| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *5 (|ListAggregate| *4))))) 
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(((*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|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
(((*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))))) 
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(((*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 *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 (|List| (|List| *3))) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*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 *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 *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 *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 *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 *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 *2 *2) (AND (|isDomain| *1 (|IntegerPrimesPackage| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Set| *3)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Set| *3)) (|isDomain| *1 (|Permutation| *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) (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 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|IntegerFactorizationPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *1 *2 *2) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|))))) 
(((*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 *1) (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *2 (|Fraction| (|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))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|e04AgentsPackage|))))) 
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(((*1 *2 *3) (AND (|isDomain| *2 (|Set| (|Symbol|))) (|isDomain| *1 (|ApplicationProgramInterface|)) (|isDomain| *3 (|Symbol|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Result|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TubePlot| *3)) (|ofCategory| *3 (|PlottableSpaceCurveCategory|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelThreeSpace|))))) 
(((*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 *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 (|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 *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 *1 *1) (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|MonogenicLinearOperator| *3)) (|isDomain| *1 (|OppositeMonogenicLinearOperator| *2 *3)) (|ofCategory| *3 (|Ring|))))) 
(((*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|))))) 
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(((*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 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|List| (|Point| *3)))))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FileCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1) (|isDomain| *1 (|Library|)))) 
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(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|d03AgentsPackage|))))) 
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(((*1 *2 *3 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DrawOption|)))) ((*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 *1 *1 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Float|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*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) (|partial| AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|LinearlyExplicitRingOver| (|Integer|))) (|isDomain| *2 (|Vector| (|Integer|))) (|isDomain| *1 (|IntegerLinearDependence| *4))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*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 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|HallBasis|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|))))) 
(((*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 *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 *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 *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 *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 *2) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|U32Vector|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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 *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 (|isDomain| *2 (|Matrix| (|Expression| (|Integer|)))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*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 *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 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|SymbolTable|))))) 
(((*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 *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 *2 *2 *2 *3 *3) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*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) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*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 (|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 *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 *2 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3))))) 
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(((*1 *1 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|))))) 
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(((*1 *1 *1) (AND (|isDomain| *1 (|ContinuedFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*1 *1) (|isDomain| *1 (|Color|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Character|))))) 
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(((*1 *1 *2 *2 *2) (AND (|isDomain| *2 (|String|)) (|ofCategory| *1 (|FileNameCategory|))))) 
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(((*1 *1 *1 *1) (|partial| AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*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 *3 *3 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Mapping| (|List| *4) *4)) (|isDomain| *1 (|Bezier| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Union| "left" "center" "right" "vertical" "horizontal"))))) 
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(((*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 *1) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1 *1) (|ofCategory| *1 (|OrderedAbelianMonoidSup|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
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(((*1 *1 *2 *2) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*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 *3) (|partial| AND (|isDomain| *2 (|Fraction| (|Polynomial| *4))) (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|RationalFunctionIntegration| *4))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*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 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
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(((*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 *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 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*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 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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 *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) (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 (|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 *1 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |integrand| *3) (|:| |intvar| *3)))) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*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 *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) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ToolsForSign| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*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 *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 *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 *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| *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 *2 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Set| *3)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Expression| *3)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*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 (|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 *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 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*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) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *1 *1 *2 *1) (AND (|ofCategory| *1 (|BinaryTreeCategory| *2)) (|ofCategory| *2 (|SetCategory|))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3))))) 
(((*1 *2 *1 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|PermutationCategory| *3))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|PermutationGroup| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
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(((*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 *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 *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) (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 *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 *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))))) 
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(((*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) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|))))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
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(((*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) (|isDomain| *1 (|OpenMathEncoding|)))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|isDomain| *1 (|FortranCode|))))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3))))) 
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(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Permutation| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|PermutationGroup| *4))))) 
(((*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 *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) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) 
(((*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 *2 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*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 *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 *1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*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 *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 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*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 *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 *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 *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 *3) (AND (|isDomain| *3 (|Polynomial| (|DoubleFloat|))) (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Reference| (|OrderedCompletion| (|Integer|)))) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|BinarySearchTree| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*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 *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 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DesingTree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*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 *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 *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 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DrawOption|))))) 
(((*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 *3) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *4 *5 *3)) (|ofCategory| *4 (|Type|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *4))))) 
(((*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 *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 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|CharacterClass|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|))))) 
(((*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 *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) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *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 (|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 (|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 *2) (AND (|isDomain| *1 (|MappingPackageInternalHacks2| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*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 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| *4 *3)) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|))))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot3D|))))) 
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(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*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 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*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 *1 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Stream| (|Polynomial| *4)) (|Stream| (|Polynomial| *4)))) (|isDomain| *1 (|WeierstrassPreparation| *4)) (|ofCategory| *4 (|Field|))))) 
(((*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) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*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 *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 *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 *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 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Record| (|:| |k| *4) (|:| |c| *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) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|IntegrationFunctionsTable|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1 *1) (|partial| AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*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 (|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 (|NonNegativeInteger|)) (|isDomain| *1 (|ExtAlgBasis|))))) 
(((*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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TextFile|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| (|InputForm|))) (|isDomain| *1 (|InputForm|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|RealClosedField|))))) 
(((*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) (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 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ApplicationProgramInterface|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|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 *1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|CachableSet|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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 *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 *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) (|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 *3) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*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) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))))) 
(((*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 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *1 (|HeuGcd| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerRoots| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*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 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*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) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*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 *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 *3 *4 *5 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPolynomialRootsPackage|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|AlgebraicFunction| *4 *2))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|CancellationAbelianMonoid|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*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) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*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) (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) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*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 (|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 *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 *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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
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(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Integer|))))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*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 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|Any|)) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ApplicationProgramInterface|))))) 
(((*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) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*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 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*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 *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))))) 
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(((*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 *1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
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(((*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 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*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 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*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 *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 *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 (|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))))) 
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(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*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 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*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 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|RadicalCategory|)) (|ofCategory| *2 (|Ring|))))) 
(((*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)))))) 
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(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|d01AgentsPackage|))))) 
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(((*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 *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|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|PseudoAlgebraicClosureOfRationalNumber|)) (|isDomain| *1 (|PseudoAlgebraicClosureOfAlgExtOfRationalNumber| *3)) (|ofType| *3 *2)))) 
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(((*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 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*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 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*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 (|Void|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*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 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Kernel| *4)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|KernelFunctions2| *2 *4))))) 
(((*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 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Stack| (|String|))) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*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 *2 *2 *2 *3) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*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 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*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 *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 *3 *3) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|IntegerPrimesPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedRing|)) (|isDomain| *1 (|ExpertSystemToolsPackage1| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SortedCache| *3)) (|ofCategory| *3 (|CachableSet|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*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 *2 *1) (|partial| AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|EuclideanDomain|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|))))) 
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(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
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(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| (|Vector| (|Integer|)))) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|GrayCode|))))) 
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(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|TangentExpansions| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*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 *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 *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 *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) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*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 *1 *1) (|ofCategory| *1 (|PAdicIntegerCategory| *2)))) 
(((*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 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
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(((*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 *1) (|isDomain| *1 (|FortranType|)))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*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| *2 (|Field|)) (|ofCategory| *2 (|OrderedRing|)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
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(((*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 *2 *2) (AND (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|CyclicStreamTools| *3 *2)) (|ofCategory| *2 (|LazyStreamAggregate| *3))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*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 *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 *3) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|OpenMathPackage|)) (|isDomain| *3 (|String|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|BasicFunctions|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
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(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|FortranCode|))))) 
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(((*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 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*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 *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) (AND (|isDomain| *2 (|Mapping| *3)) (|isDomain| *1 (|MappingPackage1| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*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 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|)))) 
(((*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 *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 *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 *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 *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 *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 *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 (|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 *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 *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 *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 *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 *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 *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 *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 *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) (|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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *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 *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 *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) (AND (|isDomain| *2 (|None|)) (|isDomain| *1 (|Any|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|None|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*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 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Vector| *3)) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*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 *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 *3 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*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 (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *4)) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*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|))))) 
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(((*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 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|FortranCode|))))) 
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(((*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 *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 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
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(((*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 *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 *1 *3 *4) (AND (|isDomain| *3 (|GraphImage|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*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) (AND (|isDomain| *2 (|Set| (|Symbol|))) (|isDomain| *1 (|ApplicationProgramInterface|)) (|isDomain| *3 (|Symbol|))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|PolynomialFactorizationExplicit|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *1))) (|isDomain| *3 (|SparseUnivariatePolynomial| *1))))) 
(((*1 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|Integer|))) (|isDomain| *1 (|Infinity|)))) ((*1 *1) (AND (|isDomain| *1 (|OnePointCompletion| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*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 *2 *2 *3) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *3 (|List| (|Palette|))) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DecimalExpansion|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*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 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*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 *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| *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 *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 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*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 *1 *1 *2) (AND (|ofCategory| *1 (|Monad|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|MonadWithUnit|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Queue| *3))))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Boolean|) (|BasicOperator|) (|BasicOperator|))) (|isDomain| *1 (|BasicOperator|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|InputForm|))))) 
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(|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*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 *1 *1 *2 *3) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|None|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*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 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*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 *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 *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 *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) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*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 *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 *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 *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 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*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 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*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 *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|))))) 
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(((*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 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |resultant| *3) (|:| |coef2| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|StreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|List| (|Integer|)))) (|isDomain| *1 (|Partition|)) (|isDomain| *3 (|List| (|Integer|)))))) 
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(((*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 *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 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *2 *2 *1) (AND (|isDomain| *1 (|ListMultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| (|Union| (|:| |name| (|Symbol|)) (|:| |bounds| (|List| (|Union| (|:| S (|Symbol|)) (|:| P (|Polynomial| (|Integer|)))))))))) (|isDomain| *1 (|SymbolTable|))))) 
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(((*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))))) 
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(((*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 *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 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*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 *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 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*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|) 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(|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| *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| (|Fraction| (|Polynomial| (|Integer|))))) (|UnivariateFormalPowerSeries| (|Fraction| (|Polynomial| (|Integer|)))))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| 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(|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 *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 *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|))))))) 
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(((*1 *1 *1 *2) (|partial| AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 *2) (|ofType| *4 *2)))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
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(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
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(((*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 *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 *4 *4 *4 *4 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*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 *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 *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 *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 (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*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 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
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(((*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|))))) 
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(((*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 (|Plot3D|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|)))) ((*1 *1 *1) (|isDomain| *1 (|Plot|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*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 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *4 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathConnection|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
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(((*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|))))) 
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(((*1 *2 *3 *4 *3 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*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 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|Vector| *5)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|SingleInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *5))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|BasicStochasticDifferential|))) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Table| (|PositiveInteger|) (|NonNegativeInteger|)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *1 (|PartitionsAndPermutations|))))) 
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(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))) (|isDomain| *1 (|TwoFactorize| *4)) (|isDomain| *3 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))))) 
(((*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 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Mapping| *4 (|Integer|))) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4))))) 
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(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|))))) 
(((*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 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Mapping| (|List| *4) *4)) (|isDomain| *1 (|Bezier| *4)) (|isDomain| *3 (|List| *4))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Kernel| *1)) (|ofCategory| *1 (|ExpressionSpace|))))) 
(((*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 (|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 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))))) 
(((*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 *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 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*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 (|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 *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 *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 (|IndexedBits| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
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(((*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|))))) 
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(((*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 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|))))) 
(((*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 *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 *1 *2 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Stream| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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 *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 *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 *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 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Complex| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*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 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*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 *1 *1 *2 *1) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|UniversalSegment| (|Integer|)))))) 
(((*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 *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 *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 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionSpace| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*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 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*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| *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 *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 *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 *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 *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) (|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| (|DrawOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|GuessOption|))))) 
(((*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 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*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 *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 *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 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|NumberTheoreticPolynomialFunctions| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|FortranCode|))))) 
(((*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 *1 *2 *3 *1) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
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(((*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) (AND (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |sin| (|Stream| *4)) (|:| |cos| (|Stream| *4)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *4)) (|isDomain| *3 (|Stream| *4))))) 
(((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|MonadWithUnit|)))) 
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(((*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 *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 *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| 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(|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| *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)) 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(|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DrawComplex|))))) 
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(((*1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
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(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathPackage|))))) 
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(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
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(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *4 *2)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|CancellationAbelianMonoid|))))) 
(((*1 *1 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Expression| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Color|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
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(((*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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*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|))))) 
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(((*1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| (|Expression| *3)))) (|ofCategory| *3 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *1 (|TransSolvePackageService| *3))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TemplateUtilities|))))) 
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(((*1 *2 *3 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|TheSymbolTable|)) (|isDomain| *3 (|Symbol|))))) 
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(((*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 *2 *1) (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| (|Fraction| *3))) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|)))) 
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(((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|Product| *3 *2)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Stack| *3))))) 
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(((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingNode| *3 *2)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|OutputForm|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
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(|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|SubSpaceComponentProperty|))))))) 
(((*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|))))) 
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(((*1 *2 *2 *3 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PrimitiveArray| (|Float|))) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stream| *4))))) 
(((*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 *3 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Segment| (|Float|)))) (|isDomain| *1 (|DrawOption|)))) ((*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 *3 *3) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|OpenMathEncoding|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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) (AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| (|Integer|)))) (|isDomain| *1 (|CyclotomicPolynomialPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*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 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |resultant| *3) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*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|))))) 
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(((*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 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldSquareFreeDecomposition| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
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(((*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 *1 *2) (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 *4 *5 *6 *5) (AND (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|String|)) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Stream| *2)) (|ofCategory| *2 (|EuclideanDomain|)) (|isDomain| *1 (|ContinuedFraction| *2))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
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(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
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(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
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(((*1 *2 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*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 *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) (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| 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(|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| *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)) 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(|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
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(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *1 (|SplittingNode| *3 *2)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))))) 
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(((*1 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|e04AgentsPackage|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|PermutationCategory| *3))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|MergeThing| *3))))) 
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(|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*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 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *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|))) (|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 (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2))))) 
(((*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) (|partial| AND (|ofCategory| *3 (|AbelianSemiGroup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| *1)))) (|ofCategory| *1 (|FunctionSpace| *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 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*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) (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 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|List| *4)))) (|isDomain| *2 (|List| (|List| *4))) (|isDomain| *1 (|TableauxBumpers| *4)) (|ofCategory| *4 (|OrderedSet|))))) 
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(((*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 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*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 *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 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|BinarySearchTree| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|TubePlot| *2)) (|ofCategory| *2 (|PlottableSpaceCurveCategory|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|SymbolTable|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*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 *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|))))) 
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(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*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 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*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) (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 *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 *1 *2) (AND (|isDomain| *2 (|Point| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|))))) 
(((*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 *1 *2 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*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 *3 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PrimitiveArray| (|Complex| (|Float|)))) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*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 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Vector| (|Expression| (|Float|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*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) (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 *1 *1) (AND (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*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 *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 (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Point| (|DoubleFloat|)))) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|PrimitiveArray| *3)) (|isDomain| *1 (|SubResultantPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*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 *1 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*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 *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 (|List| *2)) (|isDomain| *1 (|TangentExpansions| *2)) (|ofCategory| *2 (|Field|))))) 
(((*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 *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 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *3))))) 
(((*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 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *3))))) 
(((*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 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerRoots| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*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 *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 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*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 *1 *1 *2) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Boolean|))))) 
(((*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) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|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) (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 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*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 *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 *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 *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) (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 *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 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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 *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 *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 *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 *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 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*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 *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 *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 *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) (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 *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|))) 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(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
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(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
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(((*1 *2 *1 *1 *3) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*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 *1 *2 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
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(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |llcmres| *1) (|:| |coeff1| *1) (|:| |coeff2| *1))) (|ofCategory| *1 (|LeftOreRing|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Any|))))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
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(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|RealClosedField|))))) 
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(((*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| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3))))) 
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(((*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 *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 *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 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomIntegerDistributions|))))) 
(((*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 (|PositiveInteger|)) (|isDomain| *2 (|Union| (|SparseUnivariatePolynomial| *4) (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|))))))) (|isDomain| *1 (|FiniteFieldFunctions| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*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) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|MonadWithUnit|)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|BinaryTournament| *3))))) 
(((*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) (|isDomain| *1 (|RoutinesTable|)))) 
(((*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 *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 *1) (AND (|ofCategory| *2 (|FiniteFieldCategory|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModMonic| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*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 (|Vector| *5)) (|ofCategory| *5 (|LinearlyExplicitRingOver| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LinearDependence| *4 *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *1 *1 *2) (|partial| AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*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 *2 *1) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|BasicOperator|)))) ((*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 (|Symbol|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PatternMatchAssertions|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*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 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*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) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|OpenMathEncoding|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RomanNumeral|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RomanNumeral|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*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 (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|)))))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*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) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |additions| (|Integer|)) (|:| |multiplications| (|Integer|)) (|:| |exponentiations| (|Integer|)) (|:| |functionCalls| (|Integer|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*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 (|Float|)) (|isDomain| *3 (|String|)) (|isDomain| *1 (|AttributeButtons|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *3 (|String|)) (|isDomain| *1 (|AttributeButtons|))))) 
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(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
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(((*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|)))))))) 
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(((*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) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*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 *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 *3 *3 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*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 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*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 *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| (|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 *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 *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 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *2)))))) 
(((*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 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *1 *1) (|partial| AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Monoid|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|Heap| *3))))) 
(((*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 *2 *2 *3) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|EllipticFunctionsUnivariateTaylorSeries| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*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 *3 *3 *3 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*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 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|SegmentCategory| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|AssociationList| (|String|) (|None|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*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 *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 *1) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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 *1 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|d03AgentsPackage|))))) 
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(((*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 *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 (|Partition|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*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 *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 *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 *1 *2) (|partial| AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LyndonWord| *3))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *1 *2 *3 *1 *3) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OpenMathErrorKind|)) (|isDomain| *1 (|OpenMathError|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerBits|))))) 
(((*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) (AND (|isDomain| *2 (|OpenMathDevice|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|))))) 
(((*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|))))) 
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(((*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 *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|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|SymbolTable|))))) 
(((*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 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*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 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*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| 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(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| 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(((*1 *2 *1) (AND (|isDomain| *2 (|Set| (|Set| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OpenMathDevice|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|ofCategory| *1 (|NonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|))))) 
(((*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 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*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))))) 
(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|InputForm|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|OpenMathDevice|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|StochasticDifferential| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*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) (|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 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|IntegerNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
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(((*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 (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Vector| *3)) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Equation| *3))) (|isDomain| *1 (|Equation| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|Any|))))) 
(((*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 *1 *2) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LyndonWord| *3))))) 
(((*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 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerRetractions| *3)) (|ofCategory| *3 (|RetractableTo| *2))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|isDomain| *1 (|IncrementingMaps| *3)) (|ofCategory| *3 (|Join| (|Monoid|) (|AbelianSemiGroup|)))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|DoubleFloat|))) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*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 *1) (|isDomain| *1 (|TheSymbolTable|)))) 
(((*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|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| (|Fraction| *3))) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *2 *2) (|partial| AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|PolynomialDecomposition| *2 *3)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*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 *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 *2 *2 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *4))))) 
(((*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) (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) (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 *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 *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 *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) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2 *3 *1) (|partial| AND (|ofCategory| *1 (|KeyedDictionary| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*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 *3 *1) (|partial| AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *2))))) 
(((*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 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *1 *1 *1) (|ofCategory| *1 (|Logic|))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
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(((*1 *1 *1 *1) (|ofCategory| *1 (|Logic|))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|MachineFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Void|)) (|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|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
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(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*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 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|MoreSystemCommands|))))) 
(((*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))))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|AffineSpaceCategory| *3))))) 
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(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|DataList| *3))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|Comparable|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1) (|isDomain| *1 (|Character|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|SortedCache| *3)) (|ofCategory| *3 (|CachableSet|))))) 
(((*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 *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 *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 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Kernel| *4)) (|isDomain| *1 (|KernelFunctions2| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|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 *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 *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 *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) (AND (|isDomain| *3 (|List| (|DoubleFloat|))) (|isDomain| *2 (|Vector| (|MachineFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*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 (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|))))) 
(((*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) (AND (|isDomain| *3 (|SExpression|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AxiomServer|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*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 *3 *3 *4 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*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 *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 *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 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*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 *1 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DirichletRing| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*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|)))))) 
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(((*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 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*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 *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))))) 
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(((*1 *1) (|isDomain| *1 (|TwoDimensionalViewport|)))) 
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(((*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 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*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) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
(((*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 *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) (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))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*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 *2 *2 *2) (AND (|isDomain| *1 (|ParametricSurface| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1) (|isDomain| *1 (|IntegrationFunctionsTable|)))) 
(((*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) (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| (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| *3 *4 *5)))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*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 (|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) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*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))))) 
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(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*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|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Any|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
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(((*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|))))) 
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(((*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) (AND (|isDomain| *2 (|Record| (|:| |low| (|List| *3)) (|:| |high| (|List| *3)))) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|FactoredFunctionUtilities| *3))))) 
(((*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|)))) 
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(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*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 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Point| *4)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*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) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DrawOption|))))) 
(((*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) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *1) (|isDomain| *1 (|Character|))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|))))) 
(((*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) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|PositiveInteger|) (|Boolean|))) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|PositiveInteger|) (|Boolean|))) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2 *3 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*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) (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 *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 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*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 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|InputForm|))))) 
(((*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 *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 *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 *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))))) 
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(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *1) (|isDomain| *1 (|Character|)))) 
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(((*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))))) 
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(((*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 *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 *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 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*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) (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 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*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 (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*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 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RandomNumberSource|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|IntervalCategory| *3)) (|ofCategory| *3 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|Finite|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*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))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranCode|))))) 
(((*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 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*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 *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 *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 (|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 *3 *3 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*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 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*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 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*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 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*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 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|))))) 
(((*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 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|))))) 
(((*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 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| *3)) (|:| |logand| (|SparseUnivariatePolynomial| *3))))) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*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 *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 *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) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|List| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|EuclideanDomain|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|)) (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*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) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*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 *1 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|Product| *2 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*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))))) 
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(((*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 *2 *1) (AND (|isDomain| *2 (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| *3)))) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *1) (|isDomain| *1 (|Float|)))) 
(((*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) (AND (|isDomain| *3 (|OpenMathConnection|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathServerPackage|))))) 
(((*1 *2 *3 *1) (|partial| AND (|isDomain| *3 (|Mapping| (|Boolean|) *2)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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| (|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 *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 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|isDomain| *1 (|TangentExpansions| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *1 (|Reference| *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 *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 *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 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*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 *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 *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 *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 *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 *1 *1) (AND (|isDomain| *1 (|PendantTree| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|PendantTree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*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 *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 *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| *2 (|List| (|Tree| *3))) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*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) (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 (|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 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))) 
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(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
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(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|OpenMathPackage|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
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(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|CRApackage| *3))))) 
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(((*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))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FourierComponent| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*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)))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| (|FortranType|))))) (|isDomain| *1 (|SymbolTable|))))) 
(((*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 *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)))))) 
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(((*1 *2 *2) (AND (|isDomain| *1 (|MappingPackage1| *2)) (|ofCategory| *2 (|SetCategory|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *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|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|FortranCode|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|FortranCode|))))) 
(((*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 *1 *1 *2) (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|OutputForm|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Table| (|Symbol|) (|BasicStochasticDifferential|))) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
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(((*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 (|List| (|Point| *4))) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*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) (|isDomain| *1 (|CharacterClass|)))) 
(((*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 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*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 *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 *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 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *2 *2 *2 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|InternalPrintPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *2 (|List| (|Segment| (|DoubleFloat|)))) (|isDomain| *1 (|PlotTools|))))) 
(((*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 *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 (|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) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PointsOfFiniteOrderTools| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Fraction| *3)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|))))) 
(((*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 |RationalNumber|) (|isDomain| *2 (|Mapping| (|Integer|))) (|isDomain| *1 (|RandomIntegerDistributions|))))) 
(((*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 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*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|))))) 
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(((*1 *2 *1 *2 *3) (|partial| AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|RoutinesTable|))))) 
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(((*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) (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 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1 *1 *2) (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*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|))))) 
((|say| . 1566162) (|iExquo| . 1566013) (|divOfPole| . 1565916) (|cross| . 1565611) (|GospersMethod| . 1565137) (|myDegree| . 1564722) (|palgextint0| . 1563637) (|jordanAdmissible?| . 1563297) (|Ei2| . 1563172) (|cyclotomic| . 1562700) (|univariatePolynomial| . 1561824) (|debug| . 1561540) (|addiag| . 1561368) (|factorUsingYun| . 1560944) (|mathieu23| . 1560681) (|repeating| . 1560574) (|coerceP| . 1560368) (|DiffC| . 1560122) (|setLegalFortranSourceExtensions| . 1560029) (|mirror| . 1559385) (|selectPolynomials| . 1558968) (|library| . 1558889) (|euclideanNormalForm| . 1558607) (|setTower!| . 1558493) (|sec2cos| . 1558278) (|FormatRoman| . 1558159) (|content| . 1557460) (|cyclotomicFactorization| . 1557290) (|rightRemainder| . 1557152) (|chvar| . 1556764) (|listOfLists| . 1556171) (|region| . 1556012) (|tValues| . 1555913) (|accuracyIF| . 1555506) (|fillPascalTriangle| . 1555391) (|quadratic?| . 1555257) (|setrest!| . 1555004) (|unitNormalize| . 1554913) (|upperCase| . 1554771) (|clipSurface| . 1554649) (|row| . 1554176) (|rischDEsys| . 1553481) (|removeIrreducibleRedundantFactors| . 1553112) (|numberOfHues| . 1553031) (|setParam!| . 1552832) (|integerDecode| . 1552741) (|nthFactor| . 1551894) (|genericRightMinimalPolynomial| . 1551551) (|construct| . 1547231) (|balancedFactorisation| . 1546760) (|pushdterm| . 1546358) (|primitivePart!| . 1546139) (|ksec| . 1545900) (|prefixRagits| . 1545777) (|euclideanGroebner| . 1544883) (|polyPart| . 1544692) (|rationalFunction| . 1544250) (|hasSolution?| . 1543661) (|rowEchWoZeroLines| . 1543546) (|upperCase!| . 1543492) (|lowerCase?| . 1543412) (|sncndn| . 1543168) (|unitCanonical| . 1543115) (|rationalPoints| . 1540800) (|ScanArabic| . 1540681) (|maxSubst| . 1540409) (|string?| . 1540132) (|setAdaptive3D| . 1540055) (|setAdaptive| . 1539980) (|exponentialOrder| . 1539757) (|floor| . 1539557) (|diff| . 1539145) (|iter| . 1538958) (|increase| . 1538734) (|palgintegrate| . 1538238) (|divisors| . 1538102) (|yRange| . 1537873) (|laplace| . 1537487) (|isOp| . 1537127) (|elements| . 1536943) (|segment| . 1536649) (|safety| . 1536415) (|hspace| . 1536334) (|rightRegularRepresentation| . 1536014) (|tRange| . 1535833) (|gcdcofactprim| . 1535690) (|diophantineSystem| . 1535345) (|rootSplit| . 1534940) (|badValues| . 1534754) (|zCoord| . 1534640) (|rootSimp| . 1534083) (|recoverAfterFail| . 1533956) (|mapExpon| . 1533462) (|pop!| . 1533120) (|basisOfCenter| . 1532942) (|repeatUntilLoop| . 1532858) (|iflist2Result| . 1532590) (|geometric| . 1532448) (|localize| . 1531859) (|startStats!| . 1531663) (|polyred| . 1531447) (|hconcat| . 1531307) (|viewWriteAvailable| . 1531212) (|youngGroup| . 1530916) (|algebraic?| . 1530517) (|irreducibleRepresentation| . 1529988) (|calcRanges| . 1529823) (|iprint| . 1529708) (|moebius| . 1529609) (|lastSubResultantEuclidean| . 1529358) (|float?| . 1529081) (|divisorCascade| . 1528499) (|root| . 1528250) (|nextPrimitiveNormalPoly| . 1528074) (|unaryFunction| . 1527832) (|hexDigit| . 1527784) (|conditionsForIdempotents| . 1526560) (|pointData| . 1526404) (|basisOfRightNucloid| . 1526215) (|check| . 1525459) (|copyIto| . 1525323) (|rename!| . 1525229) (|genusTreeNeg| . 1524479) (|comment| . 1524311) (|torsion?| . 1523466) (|jordanAlgebra?| . 1523126) (|coerceListOfPairs| . 1522998) (|iiBesselI| . 1522796) (|OMgetEndBind| . 1522714) (|critT| . 1522332) (|unit?| . 1522245) (|entry| . 1521156) (|exactQuotient!| . 1520705) (|float| . 1520233) (|usingTable?| . 1520064) (|genericRightTraceForm| . 1519749) (|algintegrate| . 1519253) (|actualExtensionV| . 1518748) (|blockConcat| . 1518470) (|id| . 1518375) (|quadratic| . 1517854) (|subResultantGcd| . 1517324) (|var1StepsDefault| . 1517134) (|trace2PowMod| . 1516921) (|maxMixedDegree| . 1516687) (|internalIntegrate| . 1515963) (|KrullNumber| . 1515108) (|symbolTable| . 1514965) (|integer| . 1514588) (|basisOfLeftNucleus| . 1514410) (|merge| . 1513459) (|replaceVarByZero| . 1513173) (|bezoutResultant| . 1512836) (|pushFortranOutputStack| . 1512597) (|palginfieldint| . 1512132) (|mapGen| . 1511504) (|sin?| . 1511381) (|rewriteSetWithReduction| . 1511008) (|probablyZeroDim?| . 1510693) (|multiplicity| . 1509736) (|modTree| . 1509611) (|atrapezoidal| . 1509308) (|idamax| . 1509168) (|rightTraceMatrix| . 1508662) (|linearAssociatedOrder| . 1508478) (|mapdiv| . 1508316) (|string| . 1507866) (|eq| . 1507586) (|monomials| . 1506792) (|pile| . 1506699) (|simplifyExp| . 1506484) (|constant?| . 1506069) (|setDegree!| . 1505862) (|blowUp| . 1505170) (|mainSquareFreePart| . 1504951) (|outputList| . 1504837) (|integers| . 1504669) (|mat| . 1504476) (|regularRepresentation| . 1504070) (|rightQuotient| . 1503932) (|OMunhandledSymbol| . 1503819) (|htrigs| . 1503604) (|duplicates| . 1503417) (|writable?| . 1503328) (|fmecg| . 1502263) (|int| . 1501613) (|tower| . 1501514) (|symmetricSquare| . 1501369) (|viewDeltaYDefault| . 1501189) (|linearPart| . 1501074) (|semiDiscriminantEuclidean| . 1500843) (|rationalApproximation| . 1500310) (|hMonic| . 1500071) (|outputGeneral| . 1499892) (|qqq| . 1499629) (|multiEuclideanTree| . 1499504) (|fi2df| . 1499364) (|setCurve| . 1498161) (|factorGroebnerBasis| . 1497439) (|upDateBranches| . 1496156) (|lexGroebner| . 1495984) (|sinhIfCan| . 1495843) (|invmultisect| . 1495214) (|copyDrift| . 1495002) (|mainVariable| . 1494239) (|swap| . 1493939) (|integral?| . 1493123) (|cotIfCan| . 1492982) (|setScreenResolution| . 1492907) (|normInvertible?| . 1492516) (|kroneckerDelta| . 1492351) (|rubiksGroup| . 1492238) (|signAround| . 1491494) (|polyRicDE| . 1490515) (|gcdPolynomial| . 1489967) (|fullDesTree| . 1489519) (|getExplanations| . 1489397) (|euler| . 1489127) (|mkPrim| . 1488879) (|initiallyReduce| . 1488436) (|key| . 1488173) (|leftOne| . 1488053) (|elementary| . 1487902) (|aCubic| . 1487662) (|initiallyReduced?| . 1486642) (|decompose| . 1483782) (|defineProperty| . 1483564) (|bezoutDiscriminant| . 1483230) (|number?| . 1483076) (|rewriteSetByReducingWithParticularGenerators| . 1482654) (|interpretString| . 1482543) (|stoseInvertible?sqfreg| . 1482132) (|mpsode| . 1481830) (|linSolve| . 1481379) (|associates?| . 1481289) (|functionIsContinuousAtEndPoints| . 1480668) (EQ . 1480450) (|exptMod| . 1480072) (|splitConstant| . 1479669) (|maxrow| . 1479375) (|aRow| . 1479095) (|readLine!| . 1479017) (|rules| . 1478661) (|setlast!| . 1478518) (|nthExpon| . 1477898) (|times!| . 1477757) (|mkIntegral| . 1477448) (|copyslice| . 1477284) (|quadraticNorm| . 1476970) (|coth2trigh| . 1476755) (|sum| . 1474078) (|semiSubResultantGcdEuclidean1| . 1473853) (|romberg| . 1473553) (|rightLcm| . 1473415) (|addmod| . 1473351) (|Not| . 1473221) (|generic| . 1471535) (|hash| . 1470455) (|symbol| . 1470206) (|pack!| . 1470070) (|typeList| . 1469828) (|ricDsolve| . 1466369) (|leadingCoefficientRicDE| . 1465906) (|integrate| . 1452996) (|Gamma| . 1452272) (|one| . 1452060) (|quasiRegular| . 1451813) (|matrixConcat3D| . 1451678) (|tan2trig| . 1451463) (|generalCoefficient| . 1451065) (|latex| . 1450262) (|ode| . 1449997) (|zero| . 1449605) (|quasiMonicPolynomials| . 1449234) (|redpps| . 1448736) (|Or| . 1448600) (|zRange| . 1448484) (|coleman| . 1448324) (^ . 1447724) (|complexExpand| . 1447076) (|front| . 1446821) (|generalPosition| . 1446428) (|removeCoshSq| . 1446213) (|exp| . 1443946) (|approxNthRoot| . 1443804) (|selectFiniteRoutines| . 1443754) (|setfirst!| . 1443611) (|zag| . 1443561) (|pi| . 1443092) (|squareFree| . 1440579) (|infinite?| . 1440331) (|graeffe| . 1440138) (|stop| . 1440093) (|sqrt| . 1439427) (|cCsch| . 1439267) (|distFact| . 1438625) (|explimitedint| . 1438070) (|totolex| . 1437788) (|digit| . 1437740) (|intcompBasis| . 1437478) (|li| . 1437183) (|subtractIfCan| . 1437106) (|erf| . 1436811) (|numFunEvals3D| . 1436737) (|complexEigenvectors| . 1436400) (|round| . 1436345) (|distribute| . 1436237) (|applyRules| . 1435477) (|sylvesterSequence| . 1435285) (|roughSubIdeal?| . 1434974) (|orderIfNegative| . 1434836) (|dmp2rfi| . 1433672) (|rule| . 1433010) (|dilog| . 1432715) (|derivationCoordinates| . 1432431) (|hclf| . 1432242) (|setnext!| . 1432101) (|seed| . 1432015) (|lp| . 1431884) (|sin| . 1430414) (|reopen!| . 1430253) (|radicalEigenvalues| . 1430072) (|cos| . 1428602) (|ruleset| . 1428246) (|bipolarCylindrical| . 1428037) (|const| . 1427871) (|tan| . 1426493) (|critB| . 1426217) (|binomial| . 1425643) (|cot| . 1424448) (|makeTerm| . 1424293) (|coth2tanh| . 1424078) (|sec| . 1422883) (|iomode| . 1422725) (|LPolynomial| . 1419845) (|csc| . 1418650) (|arrayStack| . 1418532) (|ravel| . 1418336) (|headRemainder| . 1417996) (|asin| . 1416615) (|hadamard| . 1416452) (|acos| . 1415071) (|squareFreePolynomial| . 1414614) (|cAcsch| . 1414454) (|atan| . 1412983) (|makeViewport2D| . 1412788) (|set| . 1412578) (|internalInfRittWu?| . 1411829) (|acot| . 1410631) (|expt| . 1410445) (|semiResultantEuclideannaif| . 1410214) (|asec| . 1409016) (|drawCurves| . 1408538) (|canonicalIfCan| . 1408391) (|showTheIFTable| . 1408331) (|acsc| . 1407133) (|result| . 1406889) (|cosh2sech| . 1406674) (|sinh| . 1405299) (|stFuncN| . 1405000) (|fortranLiteral| . 1404890) (|cosh| . 1403515) (|varList| . 1402140) (|normalizeIfCan| . 1401750) (|rotate!| . 1401495) (|tanh| . 1400120) (|numerators| . 1399989) (|lazyPseudoRemainder| . 1399884) (|coth| . 1398692) (|branchPoint?| . 1398151) (|variableName| . 1397941) (|sech| . 1396749) (|Musser| . 1396538) (|concat| . 1395429) (|csch| . 1394237) (|argumentList!| . 1393826) (|generalizedEigenvectors| . 1393475) (|PDESolve| . 1392918) (|asinh| . 1391723) (|groebnerIdeal| . 1391467) (|perspective| . 1391345) (|acosh| . 1390150) (|lepol| . 1389883) (|maxPoints3D| . 1389809) (|atanh| . 1388614) (|complex?| . 1388526) (|triangularSystems| . 1388278) (|acoth| . 1387083) (|iilog| . 1386887) (|asech| . 1385692) (|baseRDE| . 1385362) (|lists| . 1385136) (|cyclicParents| . 1385015) (|dmpToHdmp| . 1384766) (|checkForZero| . 1383875) (|factorPolynomial| . 1383418) (|ptree| . 1383236) (|rationalIfCan| . 1381836) (|delay| . 1381587) (|listAllMono| . 1381305) (|choosemon| . 1381040) (|leader| . 1380793) (|dcopy| . 1380641) (|primPartElseUnitCanonical!| . 1380417) (|BumInSepFFE| . 1380054) (|#| . 1378673) (|closedCurve| . 1378153) (|setref| . 1378068) (|tanAn| . 1377888) (|setAttributeButtonStep| . 1377803) (|dnrm2| . 1377625) (|lBasis| . 1375281) (|find| . 1375140) (|OMreceive| . 1375013) (|modifyPoint| . 1374415) (|log2| . 1374292) (|functionNames| . 1374202) (|getStream| . 1374024) (|zeroDimensional?| . 1373571) (|semiIndiceSubResultantEuclidean| . 1373295) (|directSum| . 1372927) (|pol| . 1372729) (|selectfirst| . 1372605) (|curve| . 1371896) (|cCot| . 1371736) (|compactFraction| . 1371637) (|collectQuasiMonic| . 1371384) (|basisOfRightNucleus| . 1371206) (|normalizedAssociate| . 1370892) (|hexDigit?| . 1370812) (|increasePrecision| . 1370640) (|makeCrit| . 1370181) (|branchIfCan| . 1369192) (|functionIsOscillatory| . 1368889) (|inc| . 1368831) (|removeRedundantFactorsInContents| . 1368509) (|createNormalElement| . 1368378) (|column| . 1367905) (|OMputString| . 1367793) (|univariatePolynomialsGcds| . 1367127) (|coshIfCan| . 1366986) (|fortranTypeOf| . 1366870) (|sizeLess?| . 1366779) (|null| . 1366674) (|maxint| . 1366494) (|aQuartic| . 1366251) (|divisorAtDesingTree| . 1365586) (|e01sff| . 1365366) (|discriminant| . 1363989) (|has?| . 1363875) (|atanIfCan| . 1363734) (|retract| . 1354526) (|curveV| . 1353928) (|digamma| . 1353485) (|replaceVarByOne| . 1353199) (|integral| . 1352214) (|localIntegralBasis| . 1350755) (|getEq| . 1350402) (|unrankImproperPartitions0| . 1350253) (D . 1348698) (FG2F . 1348336) (|symbol?| . 1347947) (|factorSquareFreeByRecursion| . 1347251) (|inverseIntegralMatrix| . 1346967) (|formula| . 1346869) (|pastel| . 1346793) (|singularPointsWithRestriction| . 1346386) (|leftTrace| . 1346269) (|prepareSubResAlgo| . 1345865) (|characteristicSerie| . 1345091) (|groebnerFactorize| . 1343644) (|removeCosSq| . 1343429) (|userOrdered?| . 1343298) (|parabolicCylindrical| . 1343114) (|listConjugateBases| . 1342609) (|minPoints3D| . 1342535) (|curryRight| . 1342292) (|numeric| . 1340715) (|rur| . 1339095) (|stFunc1| . 1338814) (|cardinality| . 1338675) (|radical| . 1338331) (|setelt!| . 1338178) (|tensorProduct| . 1337663) (|sylvesterMatrix| . 1337369) (|leftRemainder| . 1337075) (|tab1| . 1336898) (|assoc| . 1336683) (|branchPointAtInfinity?| . 1336414) (|genericLeftDiscriminant| . 1336105) (|linearlyDependentOverZ?| . 1335919) (|ratPoly| . 1335464) (|setsubmult!| . 1334935) (|index| . 1334400) (|SturmHabichtSequence| . 1334157) (|normalizeAtInfinity| . 1333883) (|OMclose| . 1333801) (|point| . 1332785) (|exprToUPS| . 1331906) (|setleft!| . 1331762) (|iidprod| . 1331564) (|min| . 1331075) (|contract| . 1330293) (|alternative?| . 1329953) (|logpart| . 1329689) (|curry| . 1329489) (|maxLevel| . 1329211) (|extractClosed| . 1329065) (|trailingCoefficient| . 1328908) (|checkExtraValues| . 1328696) (|cSinh| . 1328536) (|toseSquareFreePart| . 1328144) (|upperCase?| . 1328064) (|pseudoRemainder| . 1327958) (|numberPlacesDegExtDeg| . 1326540) (|f2df| . 1326415) (|reduceBasisAtInfinity| . 1326141) (|findCoef| . 1326010) (|rem| . 1325851) (|Ei5| . 1325726) (|factorSFBRlcUnit| . 1324999) (|acscIfCan| . 1324858) (|translate| . 1323835) (|rightMult| . 1323680) (|singularPoints| . 1322067) (|gcd| . 1319647) (|viewDeltaXDefault| . 1319467) (|quo| . 1319308) (|powerSum| . 1319157) (|exponent| . 1318373) (|wordsForStrongGenerators| . 1318220) (|table| . 1317892) (|psolve| . 1311224) (|interReduce| . 1310937) (|dominantTerm| . 1310263) (|excepCoord| . 1310170) (|acschIfCan| . 1310029) (|variationOfParameters| . 1309802) (|third| . 1309704) (|sizeMultiplication| . 1308795) (|generalTwoFactor| . 1308520) (|lllip| . 1308361) (|Ei4| . 1308236) (|sign| . 1305818) (|semiLastSubResultantEuclidean| . 1305584) (|height| . 1304650) (|mkcomm| . 1304522) (|cAtan| . 1304362) (|discriminantEuclidean| . 1304114) (|returns| . 1303478) (|functionName| . 1303268) (|laplacian| . 1302943) (|froot| . 1302388) (|lieAlgebra?| . 1302048) (|removeConstantTerm| . 1301844) (|first| . 1300876) (|rightDiscriminant| . 1300460) (|normal| . 1300326) (|indiceSubResultantEuclidean| . 1300033) (|uniform| . 1299599) (|sequences| . 1299293) (|generalizedInverse| . 1299037) (|f02awf| . 1298866) (|nonSingularModel| . 1298158) (|subset?| . 1298033) (|OMgetEndError| . 1297951) (|f02akf| . 1297774) (|listOfTerms| . 1297125) (|ShiftAction| . 1296901) (|qroot| . 1296337) (|more?| . 1295281) (|f02ajf| . 1295110) (|normalize| . 1294011) (|printCode| . 1293932) (|monomialIntegrate| . 1293578) (|monomialIntPoly| . 1293320) (|f02agf| . 1293149) (|rightGcd| . 1293011) (|universe| . 1292885) (|contains?| . 1292704) (|reseed| . 1292590) (|subNode?| . 1292334) (|generic?| . 1292219) (|right| . 1291638) (|OMputObject| . 1291556) (|infiniteProduct| . 1290670) (|startPolynomial| . 1290401) (|f02aff| . 1290236) (|iiBesselK| . 1290034) (|left| . 1289453) (|OMputEndBVar| . 1289371) (|SturmHabichtMultiple| . 1289124) (|showTypeInOutput| . 1289023) (|f02aef| . 1288849) (|associatorDependence| . 1288450) (|chineseRemainder| . 1287531) (|compose| . 1287246) (|localPointV| . 1286704) (|f02adf| . 1286533) (|palgint0| . 1285518) (|makeSketch| . 1285317) (|escape| . 1285274) (|order| . 1280649) (|generalizedEigenvector| . 1279881) (|f02abf| . 1279713) (|numberOfComputedEntries| . 1279580) (|ocf2ocdf| . 1279411) (|leftMinimalPolynomial| . 1279207) (|reducedQPowers| . 1278972) (|f02aaf| . 1278807) (|screenResolution3D| . 1278733) (|complexRoots| . 1278215) (|setFieldInfo| . 1277973) (|subs2ndVar| . 1277715) (|taylor| . 1273864) (|rationalPlaces| . 1272613) (|measure| . 1267703) (|subHeight| . 1267622) (|chiSquare| . 1267478) (|iicos| . 1267282) (|laurent| . 1264135) (|sub| . 1264085) (|supRittWu?| . 1263867) (|twist| . 1263624) (|packModulus| . 1263358) (|reciprocalPolynomial| . 1263165) (|puiseux| . 1259989) (|sts2stst| . 1259762) (|structuralConstants| . 1258546) (|delta| . 1258360) (|postfix| . 1258310) (|continuedFraction| . 1257381) (|partialNumerators| . 1257250) (|ef2edf| . 1257095) (|associator| . 1257033) (|thetaCoord| . 1256919) (|chiSquare1| . 1256787) (|eigenvalues| . 1256531) (|bsolve| . 1255688) (|polynomial| . 1254891) (|pquo| . 1254511) (|zeta| . 1254428) (|OMgetFloat| . 1254339) (|identity| . 1254201) (|getGraph| . 1254066) (|axServer| . 1253903) (|palgint| . 1253454) (|curryLeft| . 1253211) (|dequeue| . 1252814) (|e01sbf| . 1252555) (|mainCoefficients| . 1252340) (|exp1| . 1252259) (|trivialIdeal?| . 1251988) (|iifact| . 1251818) (|imagI| . 1251615) (|extractSplittingLeaf| . 1251429) (|En| . 1251241) (|gradient| . 1250886) (|reduceLODE| . 1250473) (|reducedSystem| . 1250076) (|OMconnectTCP| . 1249920) (|linear?| . 1249362) (|isobaric?| . 1249087) (|newtonPolySlope| . 1248635) (|rightPower| . 1248449) (|mapExponents| . 1247979) (|contractSolve| . 1247323) (|radicalEigenvector| . 1247085) (|oblateSpheroidal| . 1246876) (|corrPoly| . 1246316) (|checkRur| . 1245871) (|setlocalParam!| . 1245333) (|distinguishedCommonRootsOf| . 1245095) (|split| . 1243022) (|lambda| . 1242931) (|preprocess| . 1242076) (|transCoord| . 1241983) (|imagJ| . 1241780) (|iiacosh| . 1241584) (|goodnessOfFit| . 1241246) (|stoseSquareFreePart| . 1240844) (|vectoraddmul| . 1240674) (|Somos| . 1240402) (|henselFact| . 1239829) (|space| . 1239542) (|leaves| . 1239421) (|remainder| . 1239062) (|option?| . 1238911) (|tanhIfCan| . 1238770) (|palglimint0| . 1237511) (|extractPoint| . 1237364) (|multiple?| . 1237249) (|createMultiplicationTable| . 1236995) (|radicalOfLeftTraceForm| . 1236817) (|toseInvertibleSet| . 1236465) (|makeViewport3D| . 1236109) (|mergeFactors| . 1235966) (|adjunctionDivisor| . 1234110) (|getOrder| . 1233931) (|factorByRecursion| . 1233235) (|divideIfCan| . 1232979) (|dictionary| . 1232753) (|asinhIfCan| . 1232612) (|inBetweenExcpDiv| . 1231950) (|posExpnPart| . 1231850) (|domainOf| . 1231773) (|binomThmExpt| . 1231546) (|firstUncouplingMatrix| . 1231283) (|semiSubResultantGcdEuclidean2| . 1231058) (|insert!| . 1228088) (|cAsech| . 1227928) (|legendre| . 1227655) (|invertibleElseSplit?| . 1227347) (|spherical| . 1227163) (|setMaxPoints| . 1227088) (|lieAdmissible?| . 1226748) (|desingTreeWoFullParam| . 1225468) (|hcrf| . 1225279) (|showTheFTable| . 1225220) (|monicCompleteDecompose| . 1224980) (|mdeg| . 1224754) (|surface| . 1224658) (|difference| . 1224467) (|moebiusMu| . 1224368) (|rational| . 1223048) (|normal?| . 1222522) (|leftDiscriminant| . 1222106) (|standardBasisOfCyclicSubmodule| . 1221871) (|topFortranOutputStack| . 1221779) (|LyndonWordsList| . 1221580) (|parabolic| . 1221396) (|resultantEuclidean| . 1221148) (|countable?| . 1221063) (|maxrank| . 1220495) (|stiffnessAndStabilityOfODEIF| . 1220019) (|lift| . 1218118) (|palgLODE| . 1217515) (|viewport2D| . 1217459) (|lcm| . 1217144) (|meatAxe| . 1216062) (|reduce| . 1209477) (|divergence| . 1209152) (|irreducibleFactors| . 1208786) (|minimalForm| . 1207862) (|iiBeta| . 1207660) (|e02bcf| . 1207455) (|bubbleSort!| . 1206912) (|realRoots| . 1206448) (|additive?| . 1206295) (|e02bbf| . 1206093) (|var2StepsDefault| . 1205903) (|graphState| . 1205650) (|exponential| . 1205287) (|factor1| . 1204807) (|e02baf| . 1204631) (|graphs| . 1204354) (|useEisensteinCriterion?| . 1204199) (|stopTableInvSet!| . 1203506) (|multiServ| . 1203395) (|e02akf| . 1203184) (|superscript| . 1203092) (|extractBottom!| . 1202917) (|addPointLast| . 1202722) (|ldf2vmf| . 1202570) (|pattern| . 1202253) (|divisor| . 1200755) (|e02ajf| . 1200538) (|csc2sin| . 1200323) (|constantKernel| . 1200162) (|cos2sec| . 1199947) (|fullParamInit| . 1199257) (|children| . 1198977) (|e04ycf| . 1198761) (|cache| . 1198645) (|augment| . 1197454) (|multiplyCoefficients| . 1197006) (|quote| . 1196919) (|intensity| . 1196798) (|e04ucf| . 1196254) (|rotate| . 1196007) (|zero?| . 1195291) (|element?| . 1195032) (|dark| . 1194956) (|e04naf| . 1194547) (|digits| . 1193926) (|measure2Result| . 1193480) (|resultant| . 1192597) (|tan2cot| . 1192382) (|karatsubaOnce| . 1192208) (|smaller?| . 1192122) (|datalist| . 1192007) (|e04mbf| . 1191774) (|finiteBound| . 1191589) (|projectivePoint| . 1190848) (|irreducibleFactor| . 1190726) (|monicDecomposeIfCan| . 1190444) (|center| . 1189903) (|e04jaf| . 1189638) (|twoFactor| . 1189332) (|base| . 1188889) (|affinePoint| . 1188766) (|paraboloidal| . 1188582) (|SturmHabicht| . 1188367) (|e04gcf| . 1188108) (|mindegTerm| . 1187910) (|baseRDEsys| . 1187601) (|computeBasis| . 1187388) (|power| . 1187226) (|tanIfCan| . 1187085) (|e04fdf| . 1186826) (|OMserve| . 1186700) (|rhs| . 1186190) (|rectangularMatrix| . 1185990) (|hdmpToP| . 1185767) (|evaluateInverse| . 1185489) (|systemCommand| . 1185376) (|e04dgf| . 1185033) (|superHeight| . 1184952) (|pole?| . 1184633) (|selectOptimizationRoutines| . 1184583) (|pointV| . 1184078) (|denominators| . 1183947) (|f01ref| . 1183720) (|mapSolve| . 1183336) (|trim| . 1183148) (|checkOptions| . 1183018) (|definingInequation| . 1182785) (|ran| . 1182528) (|f01rdf| . 1182292) (|OMgetEndApp| . 1182210) (|pseudoRem| . 1182070) (LODO2FUN . 1181756) (|midpoints| . 1181469) (|iisech| . 1181273) (|f01rcf| . 1181082) (|setFoundPlacesToEmpty| . 1180914) (|vark| . 1180680) (|df2mf| . 1180548) (|csch2sinh| . 1180333) (|partitions| . 1179898) (|/\\| . 1179801) (|iicosh| . 1179605) (|f01qef| . 1179390) (|makeMulti| . 1179172) (|combineFeatureCompatibility| . 1178964) (|imagj| . 1178862) (|desingTree| . 1176893) (|\\/| . 1176796) (|f01qdf| . 1176572) (|autoReduced?| . 1176233) (|removeFirstZeroes| . 1176133) (|plus| . 1175694) (|OMgetAttr| . 1175612) (|lowerPolynomial| . 1175283) (|f01qcf| . 1175104) (|doubleDisc| . 1174869) (|controlPanel| . 1174630) (|withPredicates| . 1174507) (|numberOfChildren| . 1174350) (|bag| . 1173680) (|cAcoth| . 1173520) (|f01mcf| . 1173302) (|getMatch| . 1173123) (|critBonD| . 1172757) (|search| . 1172610) (|nextColeman| . 1172450) (|normal01| . 1172360) (~= . 1171535) (|meshPar2Var| . 1170504) (|f01maf| . 1170199) (|safetyMargin| . 1169857) (|rightRankPolynomial| . 1169090) (|primintegrate| . 1168671) (|power!| . 1168485) (|f01bsf| . 1168183) (|sinhcosh| . 1167942) (|leftFactor| . 1167775) (|convergents| . 1167631) (|dim| . 1167555) (|newLine| . 1167474) (|cCos| . 1167314) (|f01brf| . 1166978) (|showTheSymbolTable| . 1166930) (|octon| . 1166681) (|drawComplexVectorField| . 1166448) (|increment| . 1166296) (|zeroSquareMatrix| . 1166129) (|rowEchelonLocal| . 1165981) (|integerIfCan| . 1165840) (|setEmpty!| . 1165664) (|mask| . 1165606) (|rightExtendedGcd| . 1165386) (|lyndon| . 1165256) (|weierstrass| . 1165049) (|dom| . 1164971) (|factorAndSplit| . 1164812) (|An| . 1164644) (|iisqrt2| . 1164451) (|pureLex| . 1164244) (|nextsubResultant2| . 1164011) (|harmonic| . 1163871) (|lfinfieldint| . 1163499) (|allRootsOf| . 1162457) (|drift| . 1162328) (|OMconnOutDevice| . 1162232) (|listRepresentation| . 1162059) (|parse| . 1161980) (|internalLastSubResultant| . 1161054) (|dec| . 1160996) (|fglmIfCan| . 1160579) (|iitanh| . 1160383) (|gethi| . 1159897) (|plenaryPower| . 1159751) (|laguerre| . 1159590) (|rarrow| . 1159540) (|OMread| . 1159423) (|orbits| . 1159292) (|guess| . 1147793) (|fresnelS| . 1147405) (|viewSizeDefault| . 1147197) (|outlineRender| . 1147075) (|inverseLaplace| . 1146644) (|coefOfFirstNonZeroTerm| . 1146544) (|lazyResidueClass| . 1146018) (|newTypeLists| . 1145932) (|cap| . 1145765) (|square?| . 1145311) (|insertionSort!| . 1144768) (|denomRicDE| . 1144390) (|drawComplex| . 1144126) (|outputSpacing| . 1144014) (|OMconnInDevice| . 1143918) (|leftTrim| . 1143730) (|bitTruth| . 1143617) (|errorKind| . 1143523) (|addMatchRestricted| . 1143348) (|var2Steps| . 1143120) (|lyndonIfCan| . 1142980) (|bombieriNorm| . 1142316) (|gbasis| . 1142015) (|pointInIdeal?| . 1141637) (|cyclePartition| . 1141516) (LE . 1141298) (|singularitiesOf| . 1140433) (|value| . 1140009) (|expintfldpoly| . 1139685) (|subscriptedVariables| . 1139579) (|genericLeftTraceForm| . 1139264) (|writeLine!| . 1139108) (|OMputFloat| . 1138991) (|blockSplit| . 1137621) (|deref| . 1137539) (|exprHasWeightCosWXorSinWX| . 1137169) (|subresultantSequence| . 1136926) (|properties| . 1136814) (BY . 1136693) (|lagrange| . 1136200) (|divide!| . 1136036) (|print| . 1135850) (|cn| . 1135675) (|belong?| . 1133967) (|heap| . 1133856) (|OMgetVariable| . 1133772) (|rightOne| . 1133652) (|middle| . 1133459) (|squareFreePart| . 1132624) (|setErrorBound| . 1132431) (|groebner?| . 1132175) (|interpolateForms| . 1130145) (|swap!| . 1129944) (|getSmgl| . 1129837) (|lastNonNull| . 1129710) (|iicsc| . 1129514) (|patternVariable| . 1129363) (|horizSplit| . 1128741) (|minPoly| . 1128283) (|acoshIfCan| . 1128142) (|numberOfNormalPoly| . 1127990) (|script| . 1127626) (|besselK| . 1127171) (|indicialEquationAtInfinity| . 1126531) (|guessHolo| . 1122196) (|selectIntegrationRoutines| . 1122146) (|ODESolve| . 1121709) (|gcdPrimitive| . 1120905) (|setButtonValue| . 1120675) (|viewZoomDefault| . 1120495) (|imagE| . 1120393) (|flush| . 1120237) (|numerator| . 1119860) (|zeroDimPrime?| . 1119488) (|declare| . 1119370) (|symmetricProduct| . 1119002) (|genericRightDiscriminant| . 1118693) (|pair?| . 1118416) (|infClsPt?| . 1118323) (|radicalSimplify| . 1117985) (|bright| . 1117702) (|semiResultantEuclidean1| . 1117471) (|commutative?| . 1117131) (|readLineIfCan!| . 1117043) (|transcendent?| . 1116925) (|primextendedint| . 1116433) (|OMUnknownSymbol?| . 1116345) (|setStatus!| . 1116138) (|se2rfi| . 1115729) (|laurentIfCan| . 1115542) (|bottom!| . 1115367) (|output| . 1114845) (|associatedEquations| . 1114444) (|nextPartition| . 1114108) (|lfintegrate| . 1113705) (|fortran| . 1113493) (|setRow!| . 1113257) (|symmetricGroup| . 1112955) (|declare!| . 1112196) (|purelyTranscendental?| . 1111910) (|OMreadFile| . 1111801) (|size?| . 1110912) (|numberOfFactors| . 1110535) (|rightDivide| . 1110025) (|isPower| . 1109177) (|outputArgs| . 1108805) (|columns| . 1108227) (|unit| . 1107893) (|cosSinInfo| . 1107759) (|iidigamma| . 1107585) (|series| . 1101717) (|makeVariable| . 1100931) (|primeFactor| . 1100809) (|statusIto| . 1100652) (|numberOfOperations| . 1100364) (|lookup| . 1100096) (|sparsityIF| . 1099953) (|fortranCharacter| . 1099908) (|factorsOfCyclicGroupSize| . 1099755) (|makeop| . 1099449) (|parametric?| . 1099374) (|roman| . 1099212) (|overbar| . 1099165) (|logIfCan| . 1099024) (|OMsetEncoding| . 1098902) (|iiasec| . 1098706) (|merge!| . 1098235) (|divOfZero| . 1098138) (|constantLeft| . 1097898) (|cup| . 1097772) (|assert| . 1097353) (|predicates| . 1097233) (|rroot| . 1096710) (|divideExponents| . 1096555) (|numFunEvals| . 1096483) (|linearlyDependent?| . 1096273) (|besselY| . 1095818) (|frobenius| . 1095638) (|subs1stVar| . 1095380) (|mainPrimitivePart| . 1095161) (|routines| . 1095114) (|leadingIdeal| . 1094886) (|binaryTournament| . 1094763) (|rightRecip| . 1094540) (|list?| . 1094263) (|createLowComplexityNormalBasis| . 1093979) (|lexico| . 1093623) (|ridHack1| . 1093517) (|qShiftC| . 1093268) (|sh| . 1092904) (|pleskenSplit| . 1092420) (|stoseInvertible?reg| . 1092009) (|someBasis| . 1091865) (GE . 1091647) (|pointPlot| . 1090981) (|algebraicSort| . 1090294) (|mainValue| . 1090174) (|optAttributes| . 1089670) (|asechIfCan| . 1089529) (|iiGamma| . 1089355) (|internalAugment| . 1088094) (^= . 1088044) (|updateStatus!| . 1087868) (|resetNew| . 1087797) (|affineRationalPoints| . 1086906) (|decrease| . 1086682) (|resultantReduitEuclidean| . 1086396) (|computeCycleLength| . 1086219) (|basicSet| . 1085364) (|basisOfInterpolateForms| . 1084803) (|randomLC| . 1084450) (|outputAsTex| . 1084206) (|OMgetEndObject| . 1084124) (|selectPDERoutines| . 1084074) (|fortranDoubleComplex| . 1084029) (|commaSeparate| . 1083817) (|derivative| . 1083258) (|algSplitSimple| . 1082886) (|yCoord| . 1082772) (|presuper| . 1082722) (|OMgetEndAtp| . 1082640) (|rk4a| . 1082347) (|padicFraction| . 1082248) (|reverseLex| . 1082041) (|foundZeroes| . 1081923) (|brillhartIrreducible?| . 1081621) (|groebner| . 1079870) (|associative?| . 1079530) (|epilogue| . 1079347) (|flexible?| . 1079007) (|raisePolynomial| . 1078678) (|divide| . 1077719) (|hasHi| . 1077602) (|noLinearFactor?| . 1077451) (|packExps| . 1077244) (|wordInStrongGenerators| . 1077062) (|relerror| . 1076983) (|ramified?| . 1076442) (|LowTriBddDenomInv| . 1076181) (|interpret| . 1075986) (|nonQsign| . 1075863) (|showFortranOutputStack| . 1075761) (|setLabelValue| . 1075673) (|printStats!| . 1075507) (|solveLinearlyOverQ| . 1075284) (|nary?| . 1075200) (|factorUsingMusser| . 1074776) (|associatedSystem| . 1074459) (|degreePartition| . 1073955) (|prologue| . 1073772) (|stoseIntegralLastSubResultant| . 1073367) (|tex| . 1073279) (|bivariate?| . 1072992) (|nthr| . 1072460) (|supersub| . 1072364) (|cycleSplit!| . 1072224) (|factorOfDegree| . 1070803) (|sinIfCan| . 1070662) (|lexTriangular| . 1070357) (|linears| . 1070195) (|vspace| . 1070114) (|rombergo| . 1069814) (|localParamOfSimplePt| . 1069292) (|schwerpunkt| . 1069080) (|lazyVariations| . 1068784) (|mathieu24| . 1068521) (|ref| . 1068439) (|delete| . 1068179) (|stopTable!| . 1067504) (|expenseOfEvaluation| . 1067154) (|createRandomElement| . 1066987) (|desingTreeAtPoint| . 1066323) (|objectOf| . 1066246) (|leftAlternative?| . 1065906) (|dihedralGroup| . 1065604) (|maxDerivative| . 1065326) (|lcmCoef| . 1065185) (|cycleElt| . 1065037) (|padecf| . 1064732) (|minPol| . 1064072) (|fractRadix| . 1063946) (|factorial| . 1063598) (|pseudoQuotient| . 1063455) (|eigenMatrix| . 1063262) (|argument| . 1062906) (|recolor| . 1062641) (|makeSin| . 1062433) (|stoseInvertibleSetreg| . 1062071) (|level| . 1061914) (|collect| . 1061574) (|nthExponent| . 1061452) (|iCompose| . 1061344) (|even?| . 1061003) (|ode1| . 1060775) (|fixPredicate| . 1060477) (|toScale| . 1060265) (|mathieu22| . 1060002) (|critMTonD1| . 1059639) (|mathieu11| . 1059376) (|janko2| . 1059113) (|nullity| . 1057937) (|makeCos| . 1057729) (|exists?| . 1057640) (|setprevious!| . 1057499) (|elliptic?| . 1056969) (|rootOf| . 1055473) (|submod| . 1055409) (|extension| . 1055321) (|SFunction| . 1055161) (|argscript| . 1055069) (|d02cjf| . 1054577) (|sample| . 1053848) (|duplicates?| . 1053721) (|extractIfCan| . 1053567) (|basisOfLeftNucloid| . 1053378) (|findTerm| . 1053180) (|vectorcombination| . 1053007) (|d02bhf| . 1052622) (|OMputApp| . 1052540) (|shallowExpand| . 1052329) (|maxPower| . 1052057) (|d02bbf| . 1051667) (|less?| . 1050451) (|fixedDivisor| . 1050290) (|nullSpace| . 1048583) (|trigs2explogs| . 1048140) (|iiacsch| . 1047944) (|hue| . 1047684) (|rk4f| . 1047397) (|e02ahf| . 1047183) (|rootPower| . 1046626) (|ParCond| . 1046118) (|lazyPremWithDefault| . 1045540) (|substring?| . 1045418) (|alterQuadVar!| . 1045225) (|stoseInternalLastSubResultant| . 1044279) (|ddot| . 1044095) (|multisect| . 1043466) (|guessAlg| . 1039131) (|minRowIndex| . 1038664) (|finiteSeries2LinSys| . 1038414) (|topPredicate| . 1038247) (|sorted?| . 1037920) (|mapUnivariateIfCan| . 1037559) (|multiplicative?| . 1037406) (|restorePrecision| . 1037320) (|char| . 1037164) (|packageCall| . 1037015) (|fortranLogical| . 1036970) (** . 1031126) (|linearPolynomials| . 1030755) (|d03faf| . 1030416) (|every?| . 1029221) (|integralCoordinates| . 1028909) (|symmetricTensors| . 1028575) (|quotValuation| . 1028482) (|applyTransform| . 1028175) (|univariate?| . 1027888) (|d03eef| . 1027511) (|transpose| . 1026659) (|any?| . 1025464) (|next| . 1025368) (|build| . 1024889) (|squareFreeFactors| . 1024570) (|d03edf| . 1024332) (|evalRec| . 1023891) (|keys| . 1023040) (|element| . 1022757) (|fresnelC| . 1022369) (|patternMatchTimes| . 1021899) (|dasum| . 1021721) (|univariatePolynomials| . 1021350) (|antiAssociative?| . 1021010) (|singularAtInfinity?| . 1020741) (|medialSet| . 1020075) (|suffix?| . 1019984) (|fortranCarriageReturn| . 1019904) (|cPower| . 1019741) (F2FG . 1019379) (|airyAi| . 1018936) (|prod| . 1018792) (|primlimitedint| . 1018251) (|evaluate| . 1017260) (|perfectSquare?| . 1017132) (|denomLODE| . 1016309) (|suppOfPole| . 1016184) (|numericIfCan| . 1014816) (|suppOfZero| . 1014691) (|name| . 1014048) (|polyRingToBlUpRing| . 1013650) (|tanSum| . 1013531) (|subResultantChain| . 1013276) (|noncommutativeJordanAlgebra?| . 1012936) (|convertIfCan| . 1012829) (|bits| . 1012477) (|subresultantVector| . 1012277) (|getPickedPoints| . 1012161) (|lazyPseudoQuotient| . 1012056) (|invertibleSet| . 1011770) (|localParamV| . 1011235) (|cyclicCopy| . 1011151) (|constantCoefficientRicDE| . 1010657) (|deepExpand| . 1010446) (|vedf2vef| . 1010269) (|Ei| . 1009852) (|true| . 1009811) (|member?| . 1008342) (|icamax| . 1008196) (|innerEigenvectors| . 1007745) (|introduce!| . 1007635) (|innerint| . 1006995) (|addPoint2| . 1006845) (|vertSplit| . 1006223) (|leftRankPolynomial| . 1005456) (|ldf2lst| . 1005033) (|nextNormalPoly| . 1004857) (|rewriteIdealWithRemainder| . 1004546) (|returnTypeOf| . 1004379) (|LyndonWordsList1| . 1004156) (|coefficients| . 1003313) (|dot| . 1002802) (|algebraicDecompose| . 1001854) (|symbolTableOf| . 1001735) (|getCurve| . 1001631) (|binarySearchTree| . 1001508) (|changeVar| . 1000730) (|reverse!| . 1000271) (|cAcot| . 1000111) (|chartCoord| . 1000018) (|log10| . 999712) (|diagonalMatrix| . 998439) (|mesh| . 997151) (|implies| . 997104) (|sayLength| . 996874) (|copyBSD| . 996750) (|shiftLeft| . 996605) (|numberOfImproperPartitions| . 996496) (|curveColorPalette| . 996362) (|palgRDE| . 995868) (|traceMatrix| . 995244) (|c05nbf| . 994961) (|ReduceOrder| . 994544) (|fractionPart| . 993930) (|prefix?| . 993839) (|equation| . 993104) (|zeroSetSplit| . 989406) (|genericRightNorm| . 989094) (|aLinear| . 988860) (|positiveRemainder| . 988799) (|intPatternMatch| . 988125) (|c05adf| . 987887) (|inverse| . 986158) (|map| . 960750) (|antiCommutator| . 960691) (|binaryTree| . 960508) (|guessRat| . 953455) (|bit?| . 953360) (|expextendedint| . 952854) (|c06gsf| . 952679) (|maxColIndex| . 952212) (|minimalPolynomial| . 951457) (|tensorMap| . 951296) (|leadingExponent| . 950823) (|zeroVector| . 950656) (|deriv| . 950525) (|c06gqf| . 950350) (|bat1| . 950173) (|characteristicPolynomial| . 948228) (|rightScalarTimes!| . 948087) (|displayKind| . 948006) (|antiCommutative?| . 947666) (|pointToPlace| . 947205) (|removeDuplicates!| . 946977) (|c06gcf| . 946805) (|isMult| . 946584) (|primaryDecomp| . 946032) (|squareTop| . 945843) (|explogs2trigs| . 945450) (|c06gbf| . 945278) (|shallowCopy| . 945160) (|lazyPrem| . 944780) (|leftMult| . 944625) (|guessBinRat| . 937572) (|mergeDifference| . 937452) (|makeSUP| . 937299) (|filterUpTo| . 937168) (|c06fuf| . 936954) (|cycle| . 936825) (|adaptive?| . 936753) (|resultantReduit| . 936555) (|halfExtendedSubResultantGcd1| . 936003) (|permanent| . 935783) (|low| . 935693) (|generalizedContinuumHypothesisAssumed| . 935608) (|explicitlyEmpty?| . 935486) (|cot2trig| . 935271) (|cycleEntry| . 935173) (|c06frf| . 934962) (|splitLinear| . 934856) (|sumOfKthPowerDivisors| . 934715) (|finiteBasis| . 934415) (|primitive?| . 934132) (|origin| . 934040) (|maxShift| . 933762) (|binary| . 933572) (|c06fqf| . 933364) (|realSolve| . 931263) (|permutation| . 930906) (|totalGroebner| . 930734) (|radicalSolve| . 928469) (|lambert| . 927976) (E1 . 927819) (|c06fpf| . 927611) (|smith| . 927363) (|randnum| . 927191) (|mathieu12| . 926928) (|atanhIfCan| . 926787) (|changeNameToObjf| . 926671) (|eval| . 915683) (|LiePoly| . 915513) (|minimumExponent| . 915353) (|internalZeroSetSplit| . 914592) (|c06ekf| . 914414) (|quatern| . 914301) (|setCondition!| . 914122) (|child?| . 913964) (|denominator| . 913577) (|createPrimitiveNormalPoly| . 913375) (|guessExpRat| . 906322) (|wronskianMatrix| . 905861) (|selectAndPolynomials| . 905435) (|c06ecf| . 905260) (|subTriSet?| . 904567) (|stopTableGcd!| . 903874) (|chainSubResultants| . 903680) (|replaceDiffs| . 903257) (|leftRegularRepresentation| . 902937) (|goppaCode| . 901637) (|c06ebf| . 901465) (|leastPower| . 901146) (|OMencodingBinary| . 901096) (|split!| . 900925) (|pushucoef| . 900508) (|numberOfDivisors| . 900409) (|radix| . 900256) (|c06eaf| . 900084) (|reducedContinuedFraction| . 899950) (|setMinPoints| . 899875) (|basis| . 898245) (|tube| . 897841) (|s17def| . 897602) (|xCoord| . 897488) (|light| . 897412) (|LiePolyIfCan| . 897039) (|basisOfMiddleNucleus| . 896861) (|Yun| . 896650) (|seriesToOutputForm| . 896297) (|genericRightTrace| . 895985) (|s17dcf| . 895746) (|halfExtendedResultant1| . 895505) (|insertTop!| . 895324) (|cyclotomicDecomposition| . 895158) (|createHN| . 894945) (|OMopenFile| . 894818) (|useSingleFactorBound?| . 894663) (|nthFractionalTerm| . 894533) (|s17akf| . 894374) (|resultantnaif| . 894208) (|ranges| . 893761) (|btwFact| . 893380) (|repeating?| . 893208) (|isamax| . 893074) (|s17ajf| . 892915) (|color| . 892728) (|llprop| . 892571) (|guessRec| . 885518) (|pdf2df| . 885372) (|cLog| . 885212) (|message| . 885132) (|conical| . 884920) (|condition| . 884744) (|s17ahf| . 884585) (|headReduce| . 884142) (|leastAffineMultiple| . 883976) (|constantRight| . 883736) (|UnVectorise| . 883568) (|purelyAlgebraicLeadingMonomial?| . 883282) (|genericLeftTrace| . 882970) (|s17agf| . 882811) (|viewWriteDefault| . 882621) (|getVariableOrder| . 882462) (|transcendentalDecompose| . 880547) (|head| . 880107) (|stack| . 879994) (|s17aff| . 879835) (|OMputInteger| . 879722) (|linearAssociatedExp| . 879535) (|selectsecond| . 879411) (|infLex?| . 879106) (|characteristic| . 877420) (|indices| . 877264) (|s17aef| . 877105) (|commutator| . 877002) (|approximants| . 876858) (|taylorRep| . 876682) (|UP2ifCan| . 876218) (|cAcosh| . 876058) (|makeFloatFunction| . 875620) (|s17adf| . 875461) (|uncorrelated?| . 874871) (|mainForm| . 874770) (|close| . 874495) (|optimize| . 873259) (|argumentListOf| . 873136) (|zeroSetSplitIntoTriangularSystems| . 872777) (|s17acf| . 872618) (|stripCommentsAndBlanks| . 872531) (|innerSolve1| . 872000) (|clikeUniv| . 871782) (|modifyPointData| . 871439) (|oneDimensionalArray| . 871188) (|adaptive| . 870811) (|s15aef| . 870652) (|setClipValue| . 870566) (|newElement| . 869985) (|create3Space| . 869771) (|unvectorise| . 869166) (|Zero| . 868865) (|key?| . 868700) (LT . 868482) (|s15adf| . 868323) (|iiasinh| . 868127) (|sn| . 867952) (|lazyPseudoDivide| . 867045) (|setImagSteps| . 866963) (|drot| . 866739) (|inRadical?| . 866480) (|s14baf| . 866315) (|sPol| . 865961) (|retractIfCan| . 858265) (|decomposeFunc| . 858050) (|rightUnit| . 857889) (|display| . 856617) (|scalarTypeOf| . 856483) (|setexcpDiv!| . 855975) (|s14abf| . 855816) (|minimumDegree| . 854924) (|weakBiRank| . 854732) (|character?| . 854644) (|LyndonBasis| . 854350) (|prinshINFO| . 854086) (|s14aaf| . 853927) (|colorDef| . 853803) (|simplifyPower| . 853646) (|whileLoop| . 853562) (|rotatey| . 853421) (|nthCoef| . 853232) (|polar| . 853048) (|s13adf| . 852889) (|separate| . 852203) (|entry?| . 851969) (|symmetricPower| . 851523) (|makeFR| . 851014) (|fortranDouble| . 850969) (|exprex| . 850748) (|s13acf| . 850589) (|intersect| . 848793) (|physicalLength| . 848510) (|deepCopy| . 848392) (|untab| . 848212) (|leftCharacteristicPolynomial| . 848045) (|s13aaf| . 847886) (|OMsupportsSymbol?| . 847770) (|diagonal?| . 847316) (|zeroDimPrimary?| . 846944) (|createGenericMatrix| . 846765) (|excpDivV| . 846260) (|s01eaf| . 846089) (|iisinh| . 845893) (|basisOfCentroid| . 845704) (|lowerCase!| . 845650) (|chartV| . 845145) (|s21bdf| . 844977) (|rightFactorIfCan| . 844710) (|roughBasicSet| . 844313) (|edf2df| . 844167) (|removeRoughlyRedundantFactorsInPol| . 843877) (|repack1| . 843651) (|trueEqual| . 843557) (|s21bcf| . 843392) (|setPrologue!| . 843203) (|mul| . 843067) (|bfEntry| . 842826) (|limitedint| . 842406) (|or| . 842261) (|s21bbf| . 842096) (|wholePart| . 841672) (|makeEq| . 841355) (|fullOut| . 840225) (|outputForm| . 839282) (|prepareDecompose| . 838255) (|coerceS| . 838034) (|s21baf| . 837872) (|normFactors| . 837529) (|width| . 837226) (|OMputVariable| . 837114) (|plot| . 835231) (|evalADE| . 834790) (|subspace| . 834326) (|s20adf| . 834167) (|roughEqualIdeals?| . 833856) (|cothIfCan| . 833715) (|monicDivide| . 833292) (|polygon| . 832772) (|matrixGcd| . 832420) (|fibonacci| . 832321) (|e02agf| . 832047) (|OMsend| . 831892) (|leftQuotient| . 831598) (|extendedgcd| . 831423) (|coord| . 830793) (|module| . 830132) (|s20acf| . 829973) (|match?| . 829849) (|cyclicEntries| . 829728) (|qPot| . 829549) (|sturmVariationsOf| . 829287) (|bitLength| . 829205) (|bernoulli| . 828894) (|operators| . 828791) (|d01aqf| . 828544) (|setsubMatrix!| . 828318) (|negative?| . 827841) (|bandedHessian| . 827444) (|iiperm| . 827246) (|safeCeiling| . 827083) (|s19adf| . 826924) (|maximumExponent| . 826764) (|primeFrobenius| . 826589) (|copies| . 826474) (|ZetaFunction| . 823564) (|d01apf| . 823311) (|cycleTail| . 823213) (|pomopo!| . 823060) (|fTable| . 821941) (|setRealSteps| . 821859) (|ignore?| . 821502) (|s19acf| . 821343) (|is?| . 820239) (|PollardSmallFactor| . 820114) (|meshFun2Var| . 819700) (|identification| . 819439) (|polygamma| . 818906) (|d01anf| . 818656) (|hermiteH| . 818501) (|extendedIntegrate| . 818120) (|concat!| . 817499) (|norm| . 813986) (|leftScalarTimes!| . 813845) (|d01amf| . 813601) (|findOrderOfDivisor| . 811803) (|isExpt| . 810177) (|deepestInitial| . 809990) (|quadraticForm| . 809827) (|satisfy?| . 809220) (|d01alf| . 808927) (|sqfree| . 808610) (|errorInfo| . 808518) (|empty?| . 807422) (|collectUnder| . 807176) (|rotatez| . 807035) (|label| . 806985) (|shiftHP| . 793761) (|s19abf| . 793602) (|showScalarValues| . 793525) (|adjoint| . 792490) (|leftTraceMatrix| . 791984) (|rquo| . 791076) (|insert| . 790831) (|d01akf| . 790587) (|completeEchelonBasis| . 790421) (|entries| . 789149) (|unitNormal| . 789005) (|symmetricRemainder| . 788944) (|ipow| . 788746) (|s19aaf| . 788587) (|interpolate| . 787298) (|allDegrees| . 787086) (|stopMusserTrials| . 786760) (|setchart!| . 786252) (|yellow| . 786213) (|drotg| . 786066) (|d01ajf| . 785822) (|elColumn2!| . 785524) (|composite| . 785071) (|solveLinearPolynomialEquationByRecursion| . 784357) (|primitiveElement| . 782417) (|localAbs| . 781354) (|s18def| . 781115) (|hasTopPredicate?| . 781000) (|morphism| . 780634) (|doubleFloatFormat| . 780553) (|iisqrt3| . 780360) (|s18dcf| . 780121) (GT . 779903) (|leastMonomial| . 779716) (|viewDefaults| . 779632) (|factorials| . 779109) (|imaginary| . 779011) (|makeUnit| . 778862) (|prolateSpheroidal| . 778653) (|bitCoef| . 778568) (|s18aff| . 778409) (|internalDecompose| . 775434) (|revert| . 774941) (|swapRows!| . 774718) (|tableau| . 774594) (|s18aef| . 774435) (|OMputBVar| . 774353) (|realEigenvalues| . 774148) (|OMsupportsCD?| . 774035) (|redPo| . 773706) (|horizConcat| . 773248) (|s18adf| . 773089) (|seriesSolve| . 769019) (|foundPlaces| . 768851) (|getCode| . 768765) (|blue| . 768726) (|diagonal| . 768522) (|reshape| . 767793) (|integralAtInfinity?| . 767521) (|s18acf| . 767362) (|enqueue!| . 767098) (|unprotectedRemoveRedundantFactors| . 766808) (|slope| . 765862) (|birth| . 765744) (|f04qaf| . 765427) (|showAllElements| . 765283) (|useEisensteinCriterion| . 765125) (|outputFixed| . 764946) (|hex| . 764842) (|lprop| . 764694) (|limitedIntegrate| . 764254) (|f04mcf| . 764013) (|cExp| . 763853) (|displayAsGF| . 763720) (|divideIfCan!| . 763376) (|exteriorDifferential| . 763229) (|multiset| . 762946) (|f04mbf| . 762526) (|complexNumericIfCan| . 759471) (|solveRetract| . 759139) (|roughBase?| . 758831) (|position!| . 758741) (|qShiftAction| . 758514) (|sumOfSquares| . 758398) (|f04maf| . 758148) (|OMgetBVar| . 758066) (|enterPointData| . 757893) (|eigenvectors| . 757506) (|oddlambert| . 757013) (|f04jgf| . 756788) (|rewriteIdealWithHeadRemainder| . 756477) (|alphabetic| . 756429) (|numberOfFractionalTerms| . 756302) (|lex| . 756171) (|basisOfCommutingElements| . 755993) (|specialTrigs| . 755707) (|mapBivariate| . 755344) (|f04faf| . 755157) (|complexNumeric| . 751470) (|status| . 750998) (|listYoungTableaus| . 750835) (|leftExactQuotient| . 750521) (|unmakeSUP| . 750368) (|kernels| . 750269) (|maxIndex| . 750108) (|f04axf| . 749876) (|orbit| . 748732) (|listVariable| . 748452) (|cartesian| . 748268) (|showTheRoutinesTable| . 748221) (|hessian| . 747866) (|f04atf| . 747679) (|clearTheIFTable| . 747588) (|OMopenString| . 747464) (|univariate| . 744517) (|laurentRep| . 744340) (~ . 744249) (|selectODEIVPRoutines| . 744199) (|quadraticBezier| . 744043) (|f04asf| . 743859) (|factor| . 732030) (|setOrder| . 731712) (|isPlus| . 730771) (|repSq| . 730581) (|integralBasis| . 728849) (|fortranLiteralLine| . 728739) (|homogeneous| . 728467) (|imag| . 727727) (|dimensions| . 727374) (|algebraicSet| . 726970) (|splitDenominator| . 725379) (|Ci| . 725084) (|tree| . 724420) (|goodPoint| . 724180) (SEGMENT . 723910) (|read!| . 723779) (|f04arf| . 723595) (|directProduct| . 723466) (|unitsColorDefault| . 723292) (|dihedral| . 723141) (|infinityNorm| . 722827) (|exprHasAlgebraicWeight| . 722498) (|linearMatrix| . 722298) (|iiacoth| . 722102) (|destruct| . 721617) (|stiffnessAndStabilityFactor| . 721405) (|setSingularPoints| . 720156) (|beauzamyBound| . 719814) (|f04adf| . 719609) (|setClosed| . 719474) (|minIndex| . 719313) (|monomial| . 716416) (|computePowers| . 716227) (|endSubProgram| . 716146) (|guessADE| . 709093) (|nlde| . 708866) (|generalLambert| . 708237) (|multivariate| . 706568) (|leftRecip| . 706345) (|sincos| . 706106) (|integralBasisAtInfinity| . 705835) (|solveLinearPolynomialEquation| . 704847) (|iiAiryBi| . 704673) (|extendedEuclidean| . 704394) (|vconcat| . 704254) (|affineSingularPoints| . 702894) (|digit?| . 702814) (|bivariateSLPEBR| . 702417) (|OMputEndAttr| . 702335) (|getShiftRec| . 701845) (|addMatch| . 701673) (|homogeneous?| . 701355) (|continue| . 701267) (|createNormalPrimitivePoly| . 701065) (|figureUnits| . 700911) (|bernoulliB| . 700696) (|inv| . 699490) (|apply| . 698747) (|product| . 697654) (|Si| . 697359) (|setright!| . 697215) (|initial| . 696968) (|option| . 696485) (|expintegrate| . 696052) (|coordinate| . 695656) (|ground?| . 695070) (|retractable?| . 694259) (|homogenize| . 692454) (|ellipticCylindrical| . 692245) (|ground| . 692010) (|new| . 690904) (|basisOfInterpolateFormsForFact| . 690343) (|brace| . 689999) (|replace| . 689884) (= . 688733) (|mapmult| . 688599) (|modularGcd| . 688337) (|dcabs1| . 688206) (|cTan| . 688046) (|groebgen| . 687714) (|f07fef| . 687519) (|lastSubResultant| . 686664) (|leadingMonomial| . 685572) (|cons| . 685413) (|prime?| . 684677) (|commonDenominator| . 683818) (|identitySquareMatrix| . 683651) (|f07fdf| . 683465) (|leadingCoefficient| . 681441) (|copy| . 680470) (< . 679962) (|And| . 679826) (|expandLog| . 679611) (|mix| . 679289) (|unitVector| . 678562) (|singular?| . 678021) (|rowEch| . 677879) (|top| . 677537) (|f07aef| . 677300) (|primitiveMonomials| . 677094) (|relativeApprox| . 676534) (> . 676401) (|mainKernel| . 676301) (|linearBezier| . 676148) (|integerBound| . 675929) (|mantissa| . 675757) (|f07adf| . 675598) (|degreeOfMinimalForm| . 675344) (|reductum| . 673309) (<= . 672927) (|mapUnivariate| . 672266) (|gderiv| . 672089) (|skewSFunction| . 671926) (|principal?| . 671618) (|generalSqFr| . 671343) (|explicitEntries?| . 671221) (>= . 671088) (|partition| . 670886) (|cAcos| . 670726) (|s17dlf| . 670484) (|shufflein| . 670328) (|tableForDiscreteLogarithm| . 670167) (|listSD| . 669981) (|readIfCan!| . 669708) (|dAndcExp| . 669481) (|stirling2| . 669362) (|monomial2series| . 669152) (|s17dhf| . 668948) (|multiple| . 668672) (|axesColorDefault| . 668498) (|list| . 668084) (|univcase| . 667805) (|cycleLength| . 667668) (|inf| . 667518) (|s17dgf| . 667314) (|extract!| . 666812) (|optional| . 666536) (|isAbsolutelyIrreducible?| . 666128) (+ . 663433) (|tubePlot| . 662142) (|quickSort| . 661884) (|f02xef| . 661655) (|real?| . 660906) (|quoByVar| . 660801) (|fixedPointExquo| . 660607) (- . 657787) (|normalDenom| . 657565) (|splitSquarefree| . 657285) (|machineFraction| . 657190) (|nil| . 657116) (|f02wef| . 656899) (|not| . 656716) (|optpair| . 656579) (|approximate| . 655448) (/ . 651355) (|mapUp!| . 651073) (|numberOfComposites| . 650941) (|f02fjf| . 650154) (|mightHaveRoots| . 649930) (|freeOf?| . 649519) (|fintegrate| . 648955) (|taylorQuoByVar| . 648850) (|max| . 648283) (|swapColumns!| . 648060) (|f02bjf| . 647820) (|OMbindTCP| . 647694) (|update| . 647531) (|daxpy| . 647344) (|expandPower| . 647129) (|refine| . 645357) (|removeDuplicates| . 645197) (|applyQuote| . 644543) (|f02bbf| . 644334) (|SturmHabichtCoefficients| . 644119) (|idealSimplify| . 643886) (|parent| . 643768) (|extend| . 641529) (|meshPar1Var| . 641199) (|solveid| . 640964) (|innerSolve| . 640645) (|f02axf| . 640468) (|charpol| . 640203) (|rest| . 639427) (|placesAbove| . 638079) (|deepestTail| . 637892) (|printInfo| . 634987) (|logical?| . 634899) (|countRealRoots| . 634687) (|reverse| . 634285) (|palglimint| . 633714) (|possiblyNewVariety?| . 633359) (|inR?| . 633244) (|setDifference| . 633130) (|tanh2trigh| . 632915) (|MPtoMPT| . 632666) (|setEpilogue!| . 632477) (|idealiser| . 631857) (|getBadValues| . 631737) (|writeObj| . 631584) (|mapMatrixIfCan| . 631182) (|setIntersection| . 631068) (|OMcloseConn| . 630982) (|iipolygamma| . 630780) (|invertible?| . 630162) (|incrementKthElement| . 630008) (|inverseColeman| . 629848) (|shellSort| . 629590) (|realEigenvectors| . 629292) (|guessHP| . 621825) (|setUnion| . 621711) (|stosePrepareSubResAlgo| . 621297) (|lhs| . 620787) (|fortranInteger| . 620742) (|iiBesselY| . 620540) (|open| . 620251) (|heapSort| . 619993) (|size| . 618054) (|translateToOrigin| . 616926) (|changeBase| . 616599) (|typeLists| . 616389) (|hasPredicate?| . 616274) (|cylindrical| . 616090) (|outputMeasure| . 615970) (|substitute| . 615865) (|drawStyle| . 615743) (|negAndPosEdge| . 615449) (|zeroDim?| . 614909) (|lazyGintegrate| . 614659) (|att2Result| . 613762) (|makeGraphImage| . 613160) (|powers| . 613025) (|index?| . 612866) (|explicitlyFinite?| . 612748) (|besselJ| . 612293) (|halfExtendedResultant2| . 612052) (|false| . 612011) (|asinIfCan| . 611870) (|insertBottom!| . 611689) (|supDimElseRittWu?| . 610996) (|quadTransform| . 610576) (|Lazard2| . 610365) (|polynomialZeros| . 610097) (|listBranches| . 609836) (|eulerPhi| . 609737) (|clearDenominator| . 608848) (|makeYoungTableau| . 608691) (|high| . 608601) (|radicalRoots| . 608037) (|numericalIntegration| . 607412) (|move| . 607143) (|splitNodeOf!| . 606635) (|sech2cosh| . 606420) (|minordet| . 605686) (|tanQ| . 605315) (|npcoef| . 604678) (|binaryFunction| . 604402) (|rightRank| . 604210) (|completeHensel| . 603976) (|setProperty| . 603862) (|clipWithRanges| . 603568) (|guessPRec| . 596515) (|critM| . 596245) (|unparse| . 596166) (|leftRank| . 595974) (|numer| . 594711) (|rootOfIrreduciblePoly| . 594299) (|comparison| . 594164) (|internalIntegrate0| . 593755) (|rootKerSimp| . 593119) (|cschIfCan| . 592978) (|denom| . 591735) (|solveLinear| . 591211) (|evenlambert| . 590718) (|sort| . 589994) (|aspFilename| . 589903) (|shrinkable| . 589642) (|clipPointsDefault| . 589474) (|kernel| . 588957) (|extensionDegree| . 588269) (|symmetric?| . 587815) (|gcdprim| . 587672) (|nand| . 587574) (|enterInCache| . 587300) (|draw| . 579270) (|subNodeOf?| . 578974) (|abelianGroup| . 578813) (|reduction| . 578263) (|conjug| . 577983) (|changeWeightLevel| . 577362) (|makeObject| . 572891) (|queue| . 572778) (UTS2UP . 572465) (|leftPower| . 572279) (|OMputBind| . 572197) (|rdregime| . 571575) (|doubleRank| . 571383) (|coef| . 570783) (|reducedDiscriminant| . 570498) (|symFunc| . 570192) (|pow| . 569792) (|strongGenerators| . 569652) (|iiatanh| . 569456) (|monom| . 569005) (|definingField| . 568814) (|decimal| . 568714) (|putColorInfo| . 568561) (|algDsolve| . 568026) (|infinity| . 567835) (|factorSquareFreePolynomial| . 567646) (|getDomains| . 567514) (|terms| . 566898) (|putGraph| . 566735) (|rootRadius| . 566349) (|laguerreL| . 566039) (|numberOfMonomials| . 565544) (|ramifMult| . 565451) (|newtonPolygon| . 565049) (|internal?| . 564903) (|setMinPoints3D| . 564826) (|setVariableOrder| . 564564) (|polyRDE| . 564101) (|highCommonTerms| . 563897) (|complexIntegrate| . 563178) (|range| . 562966) (|OMgetApp| . 562884) (|traverse| . 562715) (|lfextendedint| . 562277) (|interpolateFormsForFact| . 560267) (|alternating| . 560116) (|printStatement| . 560022) (|iisec| . 559826) (|mainCharacterization| . 559562) (|removeRoughlyRedundantFactorsInPols| . 558954) (|differentialVariables| . 558679) (|pointDominateBy| . 556925) (|subSet| . 556776) (|cond| . 556608) (|scan| . 554614) (|Vectorise| . 554446) (|OMputError| . 554364) (|df2fi| . 554224) (|partialFraction| . 553581) (|property| . 553460) (|OMgetInteger| . 553375) (|obj| . 553304) (|monomRDEsys| . 552853) (|consnewpol| . 552353) (|delete!| . 552073) (|iiabs| . 551899) (|cyclicEqual?| . 551784) (|truncate| . 551426) (|rdHack1| . 551193) (|expr| . 550944) (|crushedSet| . 550657) (|depth| . 550036) (|units| . 549409) (|removeZero| . 549153) (|distdfact| . 548836) (|resultantEuclideannaif| . 548588) (|totalfract| . 548152) (|initParLocLeaves| . 547462) (|comp| . 547206) (|rangePascalTriangle| . 546948) (|bandMatrix| . 546386) (|removeRedundantFactorsInPols| . 546064) (|exquo| . 544564) (|squareFreePrim| . 544288) (|nor| . 544190) (|count| . 541725) (|nullary| . 541599) (|realZeros| . 539328) (|integralDerivationMatrix| . 538982) (|div| . 538932) (|minset| . 538578) (|remainder!| . 538417) (RF2UTS . 538077) (|goto| . 537989) (|cSec| . 537829) (|removeConjugate| . 537254) (|code| . 536011) (|closeComponent| . 535811) (|zeroMatrix| . 535284) (|initials| . 535003) (|eisensteinIrreducible?| . 534845) (|DiffAction| . 534621) (|partialQuotients| . 534490) (|viewpoint| . 532565) (|conjugate| . 531535) (|subMultV| . 531009) (|saturate| . 530519) (|op| . 530363) (|alphanumeric| . 530315) (|expenseOfEvaluationIF| . 529908) (|ScanFloatIgnoreSpacesIfCan| . 529789) (|localUnquote| . 529441) (|uniform01| . 529351) (|principalIdeal| . 529185) (|exprToXXP| . 528625) (|nodeOf?| . 528378) (|solveInField| . 527441) (|mvar| . 527014) (|padicallyExpand| . 526862) (|rename| . 526768) (|green| . 526729) (|rspace| . 526645) (|pushdown| . 525541) (|lfextlimint| . 525031) (|affineAlgSetLocal| . 524514) (|listOfMonoms| . 524296) (|maxTower| . 524179) (|mulmod| . 524115) (|finiteSeries2LinSysWOVectorise| . 523865) (|bipolar| . 523656) (|closed?| . 523431) (|bfKeys| . 523341) (|point?| . 523220) (|expPot| . 523032) (|double?| . 522944) (|getMultiplicationMatrix| . 522287) (|powerAssociative?| . 522145) (|OMlistSymbols| . 522024) (|linearAssociatedLog| . 521646) (|compBound| . 521424) (|presub| . 521374) (|computeCycleEntry| . 521233) (|extendedSubResultantGcd| . 520613) (|nthRootIfCan| . 520430) (|csubst| . 520102) (|integer?| . 519603) (|boundOfCauchy| . 519408) (|tanh2coth| . 519193) (|createNormalPoly| . 518991) (|determinant| . 518004) (|setPoly| . 517866) (|factorFraction| . 517649) (|fortranReal| . 517604) (|overset?| . 517191) (GF2FG . 516798) (|newSubProgram| . 516689) (|Beta| . 516042) (|quotientByP| . 515980) (|leaf?| . 515548) (|mesh?| . 515427) (|primextintfrac| . 515100) (|makeResult| . 514826) (|backOldPos| . 514464) (|realElementary| . 513783) (|makingStats?| . 513614) (|tanNa| . 513492) (|legendreP| . 513282) (|degreeSubResultantEuclidean| . 512989) (|radPoly| . 512647) (|represents| . 511518) (|gnuDraw| . 510659) (|nextSubsetGray| . 510519) (|primitivePart| . 509352) (|failed| . 509045) (|simplifyLog| . 508830) (|quotient| . 508371) (|minColIndex| . 507904) (|OMUnknownCD?| . 507816) (|indiceSubResultant| . 507608) (|constDsolve| . 507080) (|toroidal| . 506871) (|ratDenom| . 505184) (|complexEigenvalues| . 504952) (|kmax| . 504746) (|OMputSymbol| . 504631) (|imagk| . 504529) (|recur| . 504170) (|noKaratsuba| . 503996) (|nsqfree| . 503471) (|pointColorPalette| . 503337) (|multiEuclidean| . 503236) (|factorsOfDegree| . 502977) (|checkPrecision| . 502888) (|clearCache| . 502775) (|OMgetEndAttr| . 502693) (|stoseInvertibleSetsqfreg| . 502331) (|setOfMinN| . 502147) (|neglist| . 502014) (|primes| . 501875) (|fprindINFO| . 501475) (|graphCurves| . 500875) (|rightCharacteristicPolynomial| . 500708) (|coordinates| . 498582) (|nextsousResultant2| . 498410) (|reduced?| . 497619) (|clearFortranOutputStack| . 497517) (|tryFunctionalDecomposition| . 497359) (|brillhartTrials| . 497041) (|constantIfCan| . 496870) (|Ei6| . 496745) (|iisin| . 496549) (|extDegree| . 496424) (|resetAttributeButtons| . 496343) (|basisOfRightAnnihilator| . 496162) (|patternMatch| . 492037) (|identityMatrix| . 491869) (|triangular?| . 491561) (|iiacsc| . 491365) (|minGbasis| . 491098) (|rootPoly| . 490697) (|retractToGrn| . 490529) (|cCoth| . 490369) (|colorFunction| . 489988) (|dequeue!| . 489733) (|leftUnits| . 489106) (|changeName| . 488987) (|pade| . 488072) (|genericLeftMinimalPolynomial| . 487729) (|magnitude| . 487575) (|basisOfNucleus| . 487397) (|copy!| . 487259) (|minrank| . 486691) (|cCosh| . 486531) (|taylorIfCan| . 486345) (|getZechTable| . 485724) (|bivariatePolynomials| . 485353) (|chebyshevU| . 485040) (|mkAnswer| . 484695) (|factorSqFree| . 484110) (|dflist| . 483889) (|tubePoints| . 483661) (|cosIfCan| . 483520) (|removeZeroes| . 482221) (|rightTrace| . 482104) (|polarCoordinates| . 481856) (|complementaryBasis| . 481582) (|infix| . 481436) (|members| . 480404) (|separateDegrees| . 480149) (|completeSmith| . 479814) (|lflimitedint| . 479289) (|compiledFunction| . 478765) (|cCsc| . 478605) (|qsetelt!| . 478193) (|iipow| . 477995) (|integralLastSubResultant| . 477600) (|summary| . 477508) (|var1Steps| . 477280) (|acotIfCan| . 477139) (|setTopPredicate| . 476986) (|musserTrials| . 476660) (|biRank| . 476468) (|ideal| . 475566) (|selectOrPolynomials| . 475140) (|classNumber| . 473852) (|show| . 473693) (|updatF| . 473320) (|over| . 473270) (|problemPoints| . 472768) (|rangeIsFinite| . 472209) (|distance| . 472085) (|infieldint| . 471831) (|parametrize| . 468548) (|complexZeros| . 467847) (|e02aef| . 467648) (|alphabetic?| . 467568) (|triangulate| . 466891) (|hdmpToDmp| . 466642) (|scanOneDimSubspaces| . 466390) (|pseudoDivide| . 465661) (|iiAiryAi| . 465487) (|lazy?| . 465365) (|getGoodPrime| . 465094) (|imagK| . 464891) (|tryFunctionalDecomposition?| . 464736) (|c02agf| . 464533) (|firstNumer| . 464434) (|iiexp| . 464238) (|expIfCan| . 464097) (|mapCoef| . 463902) (|inrootof| . 463683) (|c02aff| . 463480) (|redPol| . 463210) (|showIntensityFunctions| . 462635) (|iiBesselJ| . 462433) (|map!| . 461218) (|e02adf| . 461042) (|degreeSubResultant| . 460834) (|cAsec| . 460674) (|perfectNthPower?| . 460504) (|gcdcofact| . 460361) (|physicalLength!| . 460103) (|numberOfPrimitivePoly| . 459951) (|c05pbf| . 459664) (|sturmSequence| . 459475) (|showAttributes| . 458376) (|coefChoose| . 458069) (|Frobenius| . 457480) (|monicLeftDivide| . 456952) (|OMputEndApp| . 456870) (|setPosition| . 456747) (|curveColor| . 456590) (|quartic| . 456063) (|root?| . 455917) (|credits| . 455825) (|iiacos| . 455629) (|prinb| . 455337) (|pointValue| . 455090) (|mainDefiningPolynomial| . 454970) (|compile| . 454849) (|endOfFile?| . 454770) (|subPolSet?| . 454021) (|Nul| . 453928) (|alternatingGroup| . 453626) (|stoseInvertibleSet| . 453264) (|discreteLog| . 453041) (|clearTheFTable| . 452951) (|cubic| . 452427) (|leadingTerm| . 452249) (|qfactor| . 451879) (|e01sef| . 451659) (|One| . 451214) (|largest| . 450867) (|initTable!| . 450701) (|algebraicOf| . 450413) (|crest| . 450192) (|previous| . 450096) (|e01saf| . 449920) (|symmetricDifference| . 449823) (|exQuo| . 448856) (|wholeRagits| . 448733) (|asimpson| . 448430) (|e01daf| . 448251) (|infix?| . 448170) (|monicModulo| . 447878) (|lowerCase| . 447736) (|finiteSeries2Vector| . 447516) (|nextPrimitivePoly| . 447340) (|internalSubPolSet?| . 446591) (|bezoutMatrix| . 446297) (|e01bhf| . 446083) (|diagonalProduct| . 445575) (|hitherPlane| . 445454) (|summation| . 444843) (|eyeDistance| . 444722) (|dn| . 444547) (|e01bgf| . 444365) (|random| . 443112) (|back| . 442857) (|lazyIntegrate| . 442626) (|numberOfCycles| . 442496) (|prefix| . 442400) (|partialDenominators| . 442269) (|e01bff| . 442087) (|createLowComplexityTable| . 441837) (|trapezoidalo| . 441537) (|polCase| . 441190) (|sqfrFactor| . 441068) (|e01bef| . 440895) (|asecIfCan| . 440754) (|ramifiedAtInfinity?| . 440485) (|printingInfo?| . 440316) (|select!| . 439984) (|multMonom| . 439505) (|e01baf| . 439326) (|showAll?| . 439188) (|setScreenResolution3D| . 439111) (|drawToScale| . 438943) (|unrankImproperPartitions1| . 438794) (|indexName| . 438584) (|iidsum| . 438386) (|e02zaf| . 438201) (|null?| . 437924) (|certainlySubVariety?| . 437606) (|atom?| . 437329) (|multiplyExponents| . 436851) (|integralMatrix| . 436567) (|e02gaf| . 436359) (|blankSeparate| . 436266) (|dimensionOfIrreducibleRepresentation| . 436128) (|setFoundZeroes| . 436007) (|cTanh| . 435847) (|call| . 435766) (|e02dff| . 435575) (|lazyPquo| . 435195) (|mainMonomial| . 435008) (|makeprod| . 434881) (|guessPade| . 430546) (|intChoose| . 429953) (|e02def| . 429771) (|bumptab1| . 429600) (|processTemplate| . 429426) (|integralMatrixAtInfinity| . 429142) (|connect| . 428983) (|mainVariable?| . 428709) (|inHallBasis?| . 428592) (|e02ddf| . 428327) (|pToHdmp| . 428104) (NOT . 427849) (|rightNorm| . 427732) (|printTypes| . 427547) (|moduleSum| . 427161) (|sort!| . 426806) (|e02dcf| . 426499) (|OMencodingSGML| . 426449) (OR . 426231) (|limitPlus| . 425391) (|linearDependence| . 425169) (UP2UTS . 424898) (|systemSizeIF| . 424491) (|e02daf| . 424220) (|localParam| . 424049) (AND . 423831) (|adaptive3D?| . 423757) (|normDeriv2| . 423432) (|numberRatPlacesExtDeg| . 422023) (|stirling1| . 421904) (|e02bef| . 421612) (|evalIfCan| . 417525) (|polyRing2UPUP| . 417087) (|rootsOf| . 416276) (|pascalTriangle| . 416113) (|e02bdf| . 415946) (|reset| . 415063) (|screenResolution| . 414826) (|OMwrite| . 413495) (|deleteRoutine!| . 413409) (|component| . 412891) (|f2st| . 412771) (|outerProduct| . 412622) (|copyInto!| . 412450) (|write| . 411805) (|minusInfinity| . 411616) (|transform| . 411352) (|charthRoot| . 411100) (|euclideanSize| . 411001) (|relationsIdeal| . 410602) (|save| . 410557) (|jacobi| . 410455) (|plusInfinity| . 410266) (|useSingleFactorBound| . 410108) (|unravel| . 409912) (|lifting1| . 409209) (|child| . 409049) (|genericLeftNorm| . 408737) (|setleaves!| . 408608) (|HenselLift| . 408303) (|Aleph| . 408207) (|algebraicVariables| . 407926) (|setProperties| . 407811) (|solve1| . 407545) (|lastNonNul| . 407418) (|numericalOptimization| . 406828) (|d| . 406661) (|limit| . 404444) (|nonLinearPart| . 404329) (|palgextint| . 403845) (|triangSolve| . 402763) (|rootNormalize| . 402403) (|printHeader| . 402109) (|moreAlgebraic?| . 401416) (|cot2tan| . 401201) (|wholeRadix| . 401078) (|palgLODE0| . 399815) (|box| . 399632) (|normalElement| . 399320) (|pfaffian| . 399093) (* . 390880) (|slash| . 390830) (|functionIsFracPolynomial?| . 390512) (|particularSolution| . 389500) (|graphImage| . 389456) (|maxdeg| . 389165) (|moduloP| . 389069) (|leadingSupport| . 388923) (|trapezoidal| . 388623) (Y . 388186) (|compdegd| . 387800) (|countRealRootsMultiple| . 387556) (|dswap| . 387344) (|complexElementary| . 386071) (|allPairsAmong| . 385525) (|d01gbf| . 385227) (|rightFactorCandidate| . 385031) (|firstExponent| . 384776) (|effective?| . 384651) (|iibinom| . 384453) (|externalList| . 384363) (|complexSolve| . 383270) (|d01gaf| . 383099) (|startTable!| . 382352) (|double| . 382166) (|eq?| . 381511) (|stoseInvertible?| . 380741) (|flagFactor| . 380561) (|e| . 380375) (|blowUpWithExcpDiv| . 379685) (|options| . 379264) (|d01fcf| . 378969) (|getMeasure| . 378857) (|viewPhiDefault| . 378677) (|nextNormalPrimitivePoly| . 378501) (|mindeg| . 378213) (|cAsinh| . 378053) (|d01bbf| . 377887) (|removeSquaresIfCan| . 377600) (|primlimintfrac| . 377199) (|complement| . 377070) (|leftUnit| . 376909) (|arg1| . 376761) (|diag| . 376558) (|d01asf| . 376311) (|super| . 376261) (|separateFactors| . 375710) (|theCurve| . 374516) (|pointSizeDefault| . 374326) (|arg2| . 374178) (|intersectionDivisor| . 372112) (|lazyEvaluate| . 372018) (|currentSubProgram| . 371937) (|complexLimit| . 370968) (|critMonD1| . 370602) (|rightTrim| . 370414) (|d02raf| . 369978) (|leftLcm| . 369684) (|setColumn!| . 369448) (|mr| . 369144) (|pointColor| . 368987) (|secIfCan| . 368846) (|operation| . 368348) (|reorder| . 367708) (|d02kef| . 366868) (|nullary?| . 366784) (|factorset| . 366439) (|xor| . 366291) (|safeFloor| . 366128) (|encode| . 366011) (|d02gbf| . 365605) (|aromberg| . 365302) (|semicolonSeparate| . 365209) (|insertRoot!| . 365111) (|getRef| . 364942) (|pdf2ef| . 364787) (|d02gaf| . 364465) (|quasiComponent| . 364134) (|subResultantGcdEuclidean| . 363892) (|doubleResultant| . 363576) (|createIrreduciblePoly| . 363374) (|d02ejf| . 362796) (|redmat| . 362418) (|setchildren!| . 362252) (|paren| . 361979) (|remove| . 361013) (|nextLatticePermutation| . 360864) (|match| . 359522) (|previousTower| . 359439) (|findCycle| . 359188) (|localReal?| . 358964) (|wordInGenerators| . 358782) (|lifting| . 358201) (|axes| . 357766) (|fracPart| . 357466) (|LazardQuotient| . 357197) (|prime| . 357058) (|minPoints| . 356821) (|nodes| . 356700) (|objects| . 356422) (|stronglyReduce| . 356166) (|positiveSolve| . 354678) (|columnSpace| . 354423) (|karatsuba| . 354204) (|createMultiplicationMatrix| . 353970) (|stFunc2| . 353672) (|composites| . 353551) (|aColumn| . 353271) (|predicate| . 353070) (|overlabel| . 353020) (|nextSublist| . 352626) (|basisOfLeftAnnihilator| . 352445) (|rightAlternative?| . 352105) (|algebraicCoefficients?| . 351819) (|block| . 351724) (|vectorise| . 351430) (|constantOperator| . 351260) (|tanintegrate| . 350861) (|removeSinhSq| . 350646) (|isTimes| . 349712) (|newReduc| . 349492) (|elt| . 340431) (|stronglyReduced?| . 339869) (|OMencodingUnknown| . 339819) (|trace| . 339002) (|chebyshevT| . 338689) (|setelt| . 336287) (|plotPolar| . 335658) (|orthonormalBasis| . 335466) (|leftExtendedGcd| . 335246) (|invertIfCan| . 334938) (|halfExtendedSubResultantGcd2| . 334386) (|opeval| . 334108) (|totalDegree| . 333395) (|union| . 332799) (|resize| . 332536) (|trigs| . 331928) (|mulbyscalar| . 331764) (|uncouplingMatrices| . 331520) (|outputFloating| . 331341) (|doubleComplex?| . 331253) (|permutationGroup| . 331113) (|reduceRowOnList| . 330960) (|nthRoot| . 330586) (|tablePow| . 330312) (|log| . 327978) (|unexpand| . 327662) (|ode2| . 327428) (|monicRightDivide| . 326900) (|points| . 326741) (|cycles| . 326603) (|iteratedInitials| . 326388) (|tomodpa| . 326196) (F . 326049) (|extendIfCan| . 325783) (|optional?| . 325668) (|setvalue!| . 325530) (|coercePreimagesImages| . 325402) (|printInfo!| . 325203) (|forLoop| . 324922) (|bracket| . 324785) (|iitan| . 324589) (|inspect| . 324087) (|quotVecSpaceBasis| . 323962) (|prindINFO| . 323565) (|node| . 323459) (|subscript| . 323367) (|conjugates| . 323251) (|stoseLastSubResultant| . 322846) (|abs| . 321916) (|cAsin| . 321756) (|exprToGenUPS| . 320877) (|rational?| . 319067) (|complexNormalize| . 317794) (|totalDifferential| . 317613) (|fixedPoints| . 317466) (|permutations| . 317322) (|degOneCoef| . 317028) (|variable| . 316337) (|fractionFreeGauss!| . 316039) (|parts| . 314893) (|input| . 314641) (|direction| . 314501) (|validExponential| . 314092) (|commutativeEquality| . 313909) (|notelem| . 313743) (|test| . 313699) (|transcendenceDegree| . 313378) (|one?| . 312963) (|setmult!| . 312434) (|mainMonomials| . 312219) (|append| . 312139) (|modularGcdPrimitive| . 311877) (|rowEchWoZeroLinesWOVectorise| . 311762) (|setsymbName!| . 311225) (|precision| . 310814) (|real| . 309874) (|setTex!| . 309783) (|function| . 309074) (|shiftRoots| . 308911) (|infieldIntegrate| . 308652) (|recip| . 306668) (|complex| . 306564) (|internalSubQuasiComponent?| . 305851) (|fortranComplex| . 305806) (|ScanRoman| . 305687) (|sup| . 305475) (|pushup| . 304371) (|inverseIntegralMatrixAtInfinity| . 304087) (|eigenvector| . 303770) (|irreducible?| . 303161) (|solve| . 286343) (|sinh2csch| . 286128) (|empty| . 285158) (|truncatedmuladd| . 284991) (|type| . 284852) (|cubicBezier| . 284693) (|minimize| . 284412) (|rightExactQuotient| . 284264) (|tubeRadiusDefault| . 284056) (|odd?| . 283715) (|filename| . 283621) (|generator| . 282537) (|ord| . 282457) (|totalLex| . 282250) (|OMputEndObject| . 282168) (|red| . 282129) (|popFortranOutputStack| . 282039) (|reducedForm| . 281938) (|setValue!| . 281759) (|positive?| . 281282) (|startTableInvSet!| . 280517) (|outputAsFortran| . 279645) (|solid| . 279546) (|trunc| . 279203) (|rischNormalize| . 278742) (|scalarMatrix| . 278310) (|directory| . 278222) (|nilFactor| . 278100) (|conditionP| . 277779) (|quasiAlgebraicSet| . 277515) (|dscal| . 277334) (|simplify| . 276654) (|constantOpIfCan| . 276474) (|createPrimitivePoly| . 276272) (|monomRDE| . 275871) (|complexForm| . 275186) (|hyperelliptic| . 274632) (|lquo| . 273724) (|edf2efi| . 273554) (|ParCondList| . 272953) (|clipParametric| . 272375) (|subCase?| . 271546) (|idealiserMatrix| . 271236) (|factorSquareFree| . 269272) (|zeroOf| . 268601) (|makeSeries| . 268356) (|leadingBasisTerm| . 268094) (|subsInVar| . 267805) (|any| . 267699) (|remove!| . 266449) (|groebSolve| . 266084) (|modularFactor| . 265873) (|rst| . 265779) (|fullDisplay| . 265172) (|iicot| . 264976) (|itsALeaf!| . 264808) (|coerceImages| . 264689) (|inGroundField?| . 264571) (|linGenPos| . 264227) (|simpson| . 263927) (|lo| . 263837) (|indicialEquations| . 262044) (|cyclicSubmodule| . 261798) (|quotedOperators| . 261452) (|wrregime| . 260799) (|differentiate| . 256443) (|squareMatrix| . 256288) (|incr| . 256076) (|wreath| . 255950) (|rowEchelon| . 254324) (|acsch| . 253129) (|initializeParamOfPlaces| . 251717) (|updatD| . 251351) (|variables| . 249135) (|hi| . 249045) (|reduceLineOverLine| . 248926) (|overlap| . 248488) (|finite?| . 248158) (|leftDivide| . 247424) (|lineColorDefault| . 247250) (|times| . 247002) (|alphanumeric?| . 246922) (|RemainderList| . 246536) (|truncatedmultiplication| . 246397) (|subMatrix| . 245587) (|vector| . 245363) (|parametersOf| . 245273) (|iiacot| . 245077) (|dzasum| . 244887) (|normalDeriv| . 244577) (|anfactor| . 244156) (|getButtonValue| . 244041) (|normalise| . 243925) (|bringDown| . 243386) (|interval| . 242898) (|OMgetType| . 242814) (|phiCoord| . 242700) (|evalat| . 242561) (|setPredicates| . 242438) (|completeEval| . 242047) (|genericPosition| . 241629) (|quasiRegular?| . 241326) (|mainVariables| . 241055) (|scale| . 240573) (|appendPoint| . 240450) (|lfunc| . 240367) (|simpsono| . 240067) (|izamax| . 239881) (|linearDependenceOverZ| . 239674) (|besselI| . 239219) (|infRittWu?| . 237974) (|changeMeasure| . 237859) (|title| . 237413) (|degree| . 232610) (|in?| . 231988) (|cSin| . 231828) (|style| . 231618) (|rightUnits| . 230991) (|iicoth| . 230795) (|imagi| . 230693) (|normalizedDivide| . 230143) (|UpTriBddDenomInv| . 229882) (|common| . 229762) (|edf2fi| . 229607) (|singRicDE| . 228514) (|removeRoughlyRedundantFactorsInContents| . 228192) (|init| . 227961) (|weights| . 227371) (|removeSuperfluousCases| . 226586) (|OMReadError?| . 226498) (|setStatus| . 226215) (|antisymmetric?| . 225761) (|t| . 225617) (|OMgetBind| . 225535) (|inconsistent?| . 224777) (|alterDrift!| . 224587) (|qnew| . 223985) (|stepBlowUp| . 223228) (|dioSolve| . 222908) (|OMgetSymbol| . 222778) (|sumOfDivisors| . 222679) (|solid?| . 222583) (|external?| . 222501) (|extendedint| . 222155) (|cAtanh| . 221995) (|shift| . 221464) (|assign| . 217002) (|definingEquations| . 216741) (|semiResultantEuclidean2| . 216510) (|generate| . 216028) (|dmpToP| . 215816) (|separant| . 215569) (|resetVariableOrder| . 215477) (|extractProperty| . 215313) (|semiResultantReduitEuclidean| . 215044) (|cyclic?| . 214814) (|incrementBy| . 214659) (|replaceKthElement| . 214502) (|ScanFloatIgnoreSpaces| . 214393) (|supp| . 214268) (|approxSqrt| . 214168) (|ratDsolve| . 212361) (|bat| . 212190) (|addBadValue| . 211918) (|univariateSolve| . 209677) (|void| . 209639) (|expand| . 207747) (|pmintegrate| . 206616) (|cyclic| . 206465) (|sortConstraints| . 206132) (|numberOfIrreduciblePoly| . 205980) (|readable?| . 205891) (|viewPosDefault| . 205677) (|varselect| . 205471) (|curve?| . 205350) (|filterWhile| . 205096) (|rank| . 202617) (|zerosOf| . 201539) (|node?| . 201381) (|shiftRight| . 201236) (|listexp| . 200903) (|randomR| . 200180) (|sbt| . 200077) (|filterUntil| . 199823) (|selectNonFiniteRoutines| . 199773) (|computeInt| . 199350) (|pointLists| . 199237) (|rk4qc| . 198451) (|quoted?| . 198336) (|numberOfPlacesOfDegree| . 196927) (|expandTrigProducts| . 196526) (|select| . 195708) (|viewport3D| . 195650) (|nthFlag| . 195473) (|toseInvertible?| . 194723) (|iiasin| . 194527) (|sin2csc| . 194312) (|plus!| . 194171) (|pr2dmp| . 193820) (|rCoord| . 193706) (|reportInstantiations| . 193583) (|lintgcd| . 193412) (|xRange| . 193183) (|fortranLinkerArgs| . 193095) (|eulerE| . 192880) (|diffHP| . 179656) (|aQuadratic| . 179419) (|central?| . 179238) (|leviCivitaSymbol| . 179073) (|tubeRadius| . 178865) (|create| . 177260) (|prinpolINFO| . 176968) (|loopPoints| . 176751) (|close!| . 176579) (|whatInfinity| . 176448) (|jacobian| . 175882) (|factorList| . 175320) (|LyndonCoordinates| . 175026) (|fixedPoint| . 174694) (|numberOfValuesNeeded| . 174268) (|lllp| . 174119) (|conditions| . 173915) (|Hausdorff| . 173650) (|car| . 173401) (|po| . 173245) (|resetBadValues| . 173158) (|ptFunc| . 172814) (|radicalEigenvectors| . 172516) (|cdr| . 172267) (|getDatabase| . 172058) (|createThreeSpace| . 171953) (|matrix| . 170936) (|length| . 169416) (|makeRecord| . 169239) (|rightMinimalPolynomial| . 169035) (|ffactor| . 168728) (|open?| . 168596) (|OMputEndError| . 168514) (|messagePrint| . 168409) (|reduceByQuasiMonic| . 168153) (|scripts| . 167797) (|dimension| . 166439) (|tail| . 166064) (|iicsch| . 165868) (|genusNeg| . 164019) (|listLoops| . 163855) (|torsionIfCan| . 162878) (F2EXPRR . 162688) (|powmod| . 162624) (|showArrayValues| . 162547) (|tracePowMod| . 162334) (|getAncestors| . 162202) (|prem| . 161822) (|simpleBounds?| . 161679) (|biringToPolyRing| . 161281) (|elliptic| . 160521) (|rationalPower| . 160303) (|listAllMonoExp| . 159992) (|maxDegree| . 159714) (|invmod| . 159653) (|qinterval| . 159500) (|setMaxPoints3D| . 159423) (|BasicMethod| . 159276) (|dznrm2| . 159086) (|error| . 158608) (|fullOutput| . 155833) (|movedPoints| . 155595) (|nextPrime| . 155487) (|badNum| . 154961) (|leadingIndex| . 154488) (|pushuconst| . 154117) (|semiDegreeSubResultantEuclidean| . 153841) (|indicialEquation| . 153088) (|symbNameV| . 152554) (|reduceRow| . 152432) (|coerceL| . 152211) (|numberOfComponents| . 151470) (|coefficient| . 148447) (|lazyIrreducibleFactors| . 148081) (|generalizedContinuumHypothesisAssumed?| . 147999) (|coHeight| . 147678) (|clipBoolean| . 147544) (|exponential1| . 147454) (|setFormula!| . 147353) (|rowEchLocal| . 147208) (|rischDE| . 146476) (|constant| . 145510) (|areEquivalent?| . 144838) (|push!| . 144484) (|closedCurve?| . 144363) (|sizePascalTriangle| . 144234) (|showRegion| . 144112) (|fullInfClsPt| . 143664) (|monic?| . 143264) (|df2st| . 142895) (|schema| . 142681) (|atoms| . 142455) (|shiftInfoRec| . 141885) (|monomial?| . 140969) (|linear| . 140451) (|maxPoints| . 140214) (|expint| . 139833) (|karatsubaDivide| . 139620) (|ddFact| . 139386) (|hypergeometric0F1| . 139167) (|mapDown!| . 138876) (|logGamma| . 138663) (|cfirst| . 138442) (|squareFreeLexTriangular| . 137981) (|intermediateResultsIF| . 137574) (|acothIfCan| . 137433) (|linkToFortran| . 136586) (|components| . 136465) (|sechIfCan| . 136324) (|startTableGcd!| . 135559) (|ratpart| . 135468) (|removeSuperfluousQuasiComponents| . 134781) (|complete| . 134209) (|yCoordinates| . 133897) (|HermiteIntegrate| . 133140) (|constantToUnaryFunction| . 132987) (|subResultantsChain| . 132783) (|genus| . 130321) (|leftFactorIfCan| . 130096) (|OMlistCDs| . 130005) (|rightZero| . 129889) (|OMParseError?| . 129801) (|cAcsc| . 129641) (|useNagFunctions| . 129219) (|fortranCompilerName| . 129131) (|absolutelyIrreducible?| . 128541) (|operator| . 126623) (|shuffle| . 126467) (|anticoord| . 126171) (|OMmakeConn| . 126076) (|setpoint!| . 125568) (|possiblyInfinite?| . 125450) (|lastSubResultantElseSplit| . 125148) (|last| . 124560) (|flexibleArray| . 124299) (|diagonals| . 124177) (|rootBound| . 123835) (|clearTheSymbolTable| . 123650) (|frst| . 123556) (|unary?| . 123472) (|decreasePrecision| . 123300) (|shanksDiscLogAlgorithm| . 123070) (|factorCantorZassenhaus| . 122570) (|representationType| . 122444) (|characteristicSet| . 121778) (|firstSubsetGray| . 121641) (|qelt| . 121034) (|rows| . 120456) (|antisymmetricTensors| . 120036) (|generalInterpolation| . 118069) (|coerce| . 77707) (|algint| . 77324) (|cSech| . 77164) (|kovacic| . 76371) (|solveLinearPolynomialEquationByFractions| . 76114) (|elRow1!| . 75819) (|cscIfCan| . 75678) (|minus!| . 75402) (|isQuotient| . 75103) (|evenInfiniteProduct| . 74217) (|df2ef| . 74077) (|write!| . 73943) (|collectUpper| . 73697) (|toseLastSubResultant| . 73302) (|OMputEndAtp| . 73220) (|iFTable| . 72625) (|equality| . 72490) (|companionBlocks| . 72249) (|enumerate| . 71980) (|regime| . 71063) (|selectMultiDimensionalRoutines| . 71013) (|nrows| . 70524) (|scripted?| . 70447) (|LazardQuotient2| . 70175) (|affineAlgSet| . 69264) (|removeRedundantFactors| . 67774) (|FormatArabic| . 67655) (|acosIfCan| . 67514) (|rootProduct| . 66957) (|ncols| . 66468) (|genusTree| . 65750) (|sumSquares| . 65614) (|powern| . 65406) (|dfRange| . 65273) (|B1solve| . 64569) (|reindex| . 64361) (|fill!| . 63986) (|doublyTransitive?| . 63832) (|zoom| . 63303) (|iroot| . 63067) (|leftGcd| . 62773) (|normalForm| . 62186) (|socf2socdf| . 61993) (|normalized?| . 60973) (|exponents| . 60882) (|exactQuotient| . 60431) (|position| . 59549) (|generalInfiniteProduct| . 58545) (|balancedBinaryTree| . 58405) (|failed?| . 58036) (|OMencodingXML| . 57986) (|gramschmidt| . 57861) (|subst| . 57416) (|rk4| . 56839) (|leftNorm| . 56722) (|jacobiIdentity?| . 56382) (|zaxpy| . 56171) (|subQuasiComponent?| . 54732) (|createPrimitiveElement| . 54677) (|perfectSqrt| . 54567) (|polygon?| . 54446) (|Is| . 53229) (|tab| . 53067) (|placesOfDegree| . 50824) (|elem?| . 50705) (|firstDenom| . 50574) (|pToDmp| . 50362) (|critpOrder| . 49977) (|multinomial| . 49830) (|suchThat| . 47898) (|headReduced?| . 46878) (|outputAsScript| . 46634) (|definingPolynomial| . 45390) (|bumprow| . 45101) (|hermite| . 44695) (|iiasech| . 44499) (|and| . 44354) (|slex| . 44195) (|extractIndex| . 44038) (|copyfirst| . 43877) (|roughUnitIdeal?| . 43569) (|OMputAtp| . 43487) (|numberOfVariables| . 42632) (|purelyAlgebraic?| . 42066) (|lyndon?| . 41908) (|addPoint| . 41313) (|getlo| . 40827) (|rotatex| . 40686) (|lighting| . 40559) (|bumptab| . 40339) (|nextItem| . 40279) (|pointColorDefault| . 40105) (|ShiftC| . 39859) (|scaleRoots| . 39696) (|top!| . 39521) (|clearTable!| . 39355) (|expressIdealMember| . 39249) (|vertConcat| . 38791) (|pdct| . 38711) (|dimensionsOf| . 38277) (|Ei3| . 38152) (|factors| . 37465) (|extendedResultant| . 37173) (|exprHasLogarithmicWeights| . 36867) (|fffg| . 36426) (|pmComplexintegrate| . 35847) (|primintfldpoly| . 35578) (|graphStates| . 35129) (|tubePointsDefault| . 34939) (|OMgetAtp| . 34857) (|LagrangeInterpolation| . 34662) (|Lazard| . 34454) (|droot| . 34229) (|setcurve!| . 33628) (|multV| . 33102) (|primPartElseUnitCanonical| . 32878) (|rewriteIdealWithQuasiMonicGenerators| . 32502) (|second| . 32404) (|shade| . 32215) (|getOp| . 31828) (|convert| . 23254) (|bandedJacobian| . 22854) (|getMultiplicationTable| . 22076) (|generators| . 21683) (|quasiMonic?| . 21468) (|clip| . 20126) (|lSpaceBasis| . 19826) (|poisson| . 19684) (|flatten| . 19638) (|generateIrredPoly| . 19440) (|iiatan| . 19244) (|cycleRagits| . 19121) (|knownInfBasis| . 18814) (|fractRagits| . 18689) (|changeThreshhold| . 18574) (|fullPartialFraction| . 18351) (|OMgetString| . 18267) (|modulus| . 17117) (|airyBi| . 16674) (|returnType!| . 16131) (|OMgetObject| . 16049) (|OMgetError| . 15967) (|testDim| . 15659) (|palgRDE0| . 14560) (|midpoint| . 14291) (|ceiling| . 14091) (|credPol| . 13821) (|OMgetEndBVar| . 13739) (|mulbybinomial| . 13417) (|arity| . 13312) (|elRow2!| . 13014) (|completeHermite| . 12703) (|debug3D| . 12626) (|OMputEndBind| . 12544) (|integralRepresents| . 12267) (|leftZero| . 12151) (|OMreadStr| . 12042) (|weighted| . 11832) (|newton| . 11652) (|edf2ef| . 11497) (|rationalPoint?| . 10895) (|matrixDimensions| . 10743) (|deleteProperty!| . 10657) (|mainContent| . 10438) (|weight| . 9534) (|virtualDegree| . 9256) (|singleFactorBound| . 8533) (|nextIrreduciblePoly| . 8357) (|isList| . 8220) (|testModulus| . 8009) (|cRationalPower| . 7827) (|distinguishedRootsOf| . 7431) (|Ei1| . 7306) (|RittWuCompare| . 7078) (|showClipRegion| . 6956) (|hasoln| . 6509) (|xn| . 6302) (|charClass| . 6125) (|OMputAttr| . 6043) (|perfectNthRoot| . 5711) (|copyQuadVar| . 5499) (|prevPrime| . 5391) (|maxRowIndex| . 4924) (|sdf2lst| . 4495) (|symbolIfCan| . 4373) (|extractTop!| . 4198) (|cyclicGroup| . 3896) (|createZechTable| . 3685) (|oddintegers| . 3517) (|setlocalPoint!| . 2972) (|monicRightFactorIfCan| . 2708) (|initializeGroupForWordProblem| . 2435) (|oddInfiniteProduct| . 1549) (|viewThetaDefault| . 1369) (|omError| . 1236) (|permutationRepresentation| . 467) (|insertMatch| . 295) (|selectSumOfSquaresRoutines| . 245) (|removeSinSq| . 30))