/usr/share/axiom-20170501/src/algebra/MAPPKG2.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 | )abbrev package MAPPKG2 MappingPackage2
++ Description:
++ Various Currying operations.
MappingPackage2(A,C) : SIG == CODE where
A : SetCategory
C : SetCategory
NNI ==> NonNegativeInteger
SIG ==> with
const : C -> (A ->C)
++\spad{const c} is a function which produces \spad{c} when
++ applied to its argument.
curry : (A ->C, A) -> (()->C)
++\spad{cu(f,a)} is the function \spad{g}
++ such that \spad{g ()= f a}.
constant : (()->C) -> (A ->C)
++\spad{vu(f)} is the function \spad{g}
++ such that \spad{g a= f ()}.
diag : ((A,A)->C) -> (A->C)
++\spad{diag(f)} is the function \spad{g}
++ such that \spad{g a = f(a,a)}.
CODE ==> add
MappingPackageInternalHacks2(A, C)
a: A
c: C
faa: A -> A
f0c: ()-> C
fac: A -> C
faac: (A,A)->C
const c == (a1:A):C +-> arg2(a1, c)
curry(fac, a) == fac a
constant f0c == (a1:A):C +-> arg2(a1, f0c())
diag faac == (a1:A):C +-> faac(a1, a1)
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