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-rw-r--r--src/share/algebra/operation.daase37607
1 files changed, 25913 insertions, 11694 deletions
diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase
index 404f34d9..6bf1fe21 100644
--- a/src/share/algebra/operation.daase
+++ b/src/share/algebra/operation.daase
@@ -1,14108 +1,28327 @@
-(628695 . 3581069280)
+(1293668 . 3581079093)
(((*1 *2 *3 *4)
- (|partial| -11 (-5 *3 (-1180 *4)) (-4 *4 (-12 (-962) (-581 (-485))))
- (-5 *2 (-1180 (-349 (-485)))) (-5 *1 (-1209 *4)))))
-(((*1 *2 *3)
- (|partial| -11 (-5 *3 (-1180 *4)) (-4 *4 (-12 (-962) (-581 (-485))))
- (-5 *2 (-1180 (-485))) (-5 *1 (-1209 *4)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1180 *4)) (-4 *4 (-12 (-962) (-581 (-485)))) (-5 *2 (-82))
- (-5 *1 (-1209 *4)))))
-(((*1 *2 *3)
- (-11 (-4 *5 (-12 (-554 *2) (-145))) (-5 *2 (-801 *4)) (-5 *1 (-143 *4 *5 *3))
- (-4 *4 (-1014)) (-4 *3 (-138 *5))))
+ (|partial| AND (|isDomain| *3 (|Vector| *4))
+ (|ofCategory| *4 (|Join| (|Ring|) (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Vector| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|IntegerLinearDependence| *4)))))
+(((*1 *2 *3)
+ (|partial| AND (|isDomain| *3 (|Vector| *4))
+ (|ofCategory| *4 (|Join| (|Ring|) (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Vector| (|Integer|)))
+ (|isDomain| *1 (|IntegerLinearDependence| *4)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Vector| *4))
+ (|ofCategory| *4
+ (|Join| (|Ring|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|IntegerLinearDependence| *4)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *5 (|Join| (|ConvertibleTo| *2) (|CommutativeRing|)))
+ (|isDomain| *2 (|Pattern| *4))
+ (|isDomain| *1 (|ComplexPattern| *4 *5 *3))
+ (|ofCategory| *4 (|SetCategory|))
+ (|ofCategory| *3 (|ComplexCategory| *5))))
((*1 *1 *2)
- (-11 (-5 *2 (-1180 *3)) (-4 *3 (-145)) (-4 *1 (-352 *3 *4))
- (-4 *4 (-1156 *3))))
+ (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *1 (|FramedAlgebra| *3 *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))
((*1 *2 *1)
- (-11 (-4 *1 (-352 *3 *4)) (-4 *3 (-145)) (-4 *4 (-1156 *3))
- (-5 *2 (-1180 *3))))
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- ((*1 *2 *1) (-11 (-4 *1 (-360 *3)) (-4 *3 (-145)) (-5 *2 (-1180 *3))))
+ (AND (|ofCategory| *1 (|FramedAlgebra| *3 *4))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|isDomain| *2 (|Vector| *3))))
((*1 *1 *2)
- (-11 (-5 *2 (-347 *1)) (-4 *1 (-363 *3)) (-4 *3 (-496)) (-4 *3 (-1014))))
+ (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *3))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Factored| *1)) (|ofCategory| *1 (|FunctionSpace| *3))
+ (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|SetCategory|))))
((*1 *1 *2)
- (-11 (-5 *2 (-584 *6)) (-4 *6 (-978 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-718))
- (-4 *5 (-757)) (-5 *1 (-403 *3 *4 *5 *6))))
- ((*1 *1 *2) (-11 (-5 *2 (-1016)) (-5 *1 (-474))))
- ((*1 *2 *1) (-11 (-4 *1 (-554 *2)) (-4 *2 (-1130))))
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- ((*1 *1 *2) (-11 (-4 *3 (-145)) (-4 *1 (-662 *3 *2)) (-4 *2 (-1156 *3))))
- ((*1 *1 *2) (-11 (-5 *2 (-584 (-801 *3))) (-5 *1 (-801 *3)) (-4 *3 (-1014))))
+ (AND (|isDomain| *2 (|List| *6))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|isDomain| *1 (|GeneralPolynomialSet| *3 *4 *5 *6))))
((*1 *1 *2)
- (-11 (-5 *2 (-858 *3)) (-4 *3 (-962)) (-4 *1 (-978 *3 *4 *5))
- (-4 *5 (-554 (-1091))) (-4 *4 (-718)) (-4 *5 (-757))))
+ (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|InputForm|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|ConvertibleTo| *2)) (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *2)
+ (AND (|ofCategory| *1 (|ConvertibleFrom| *2)) (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *2)
+ (AND (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *1 (|MonogenicAlgebra| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Polynomial| *3)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))))
((*1 *1 *2)
(OR
- (-11 (-5 *2 (-858 (-485))) (-4 *1 (-978 *3 *4 *5))
- (-11 (-2563 (-4 *3 (-35 (-349 (-485))))) (-4 *3 (-35 (-485)))
- (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757)))
- (-11 (-5 *2 (-858 (-485))) (-4 *1 (-978 *3 *4 *5))
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- (-4 *4 (-718)) (-4 *5 (-757)))))
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- (-11 (-5 *2 (-858 (-349 (-485)))) (-4 *1 (-978 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *5 (-554 (-1091))) (-4 *3 (-962))
- (-4 *4 (-718)) (-4 *5 (-757))))
- ((*1 *2 *3)
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- (-5 *1 (-982 *4 *5 *6 *7 *8))))
- ((*1 *2 *3)
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- (-4 *7 (-978 *4 *5 *6)) (-4 *8 (-1021 *4 *5 *6 *7)) (-4 *4 (-392))
- (-4 *5 (-718)) (-4 *6 (-757)) (-5 *2 (-1074))
- (-5 *1 (-1060 *4 *5 *6 *7 *8))))
- ((*1 *1 *2) (-11 (-5 *2 (-1016)) (-5 *1 (-1096))))
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- ((*1 *2 *3)
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- (-13 *5 (-584 (-1091))) (-5 *2 (-704 *4 (-774 *6))) (-5 *1 (-1208 *4 *5 *6))
- (-13 *6 (-584 (-1091)))))
- ((*1 *2 *3)
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- (-5 *2 (-858 (-938 (-349 *4)))) (-5 *1 (-1208 *4 *5 *6))
- (-13 *5 (-584 (-1091))) (-13 *6 (-584 (-1091)))))
- ((*1 *2 *3)
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- (-5 *1 (-1208 *4 *5 *6)) (-13 *5 (-584 (-1091)))))
- ((*1 *2 *3)
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- (-5 *2 (-1086 (-938 (-349 *4)))) (-5 *1 (-1208 *4 *5 *6))
- (-13 *5 (-584 (-1091))) (-13 *6 (-584 (-1091)))))
- ((*1 *2 *3)
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- (-5 *2 (-584 (-704 *4 (-774 *6)))) (-5 *1 (-1208 *4 *5 *6))
- (-13 *5 (-584 (-1091))))))
-(((*1 *2 *3) (-11 (-5 *2 (-347 *3)) (-5 *1 (-498 *3)) (-4 *3 (-484))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-718)) (-4 *5 (-757)) (-4 *6 (-257)) (-5 *2 (-347 *3))
- (-5 *1 (-682 *4 *5 *6 *3)) (-4 *3 (-862 *6 *4 *5))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-718)) (-4 *5 (-757)) (-4 *6 (-257)) (-4 *7 (-862 *6 *4 *5))
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- ((*1 *2 *1)
- (-11 (-4 *3 (-392)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-347 *1)) (-4 *1 (-862 *3 *4 *5))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-757)) (-4 *5 (-718)) (-4 *6 (-392)) (-5 *2 (-347 *3))
- (-5 *1 (-893 *4 *5 *6 *3)) (-4 *3 (-862 *6 *5 *4))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-718)) (-4 *5 (-757)) (-4 *6 (-392)) (-4 *7 (-862 *6 *4 *5))
- (-5 *2 (-347 (-1086 (-349 *7)))) (-5 *1 (-1088 *4 *5 *6 *7))
- (-5 *3 (-1086 (-349 *7)))))
- ((*1 *2 *1) (-11 (-5 *2 (-347 *1)) (-4 *1 (-1135))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-5 *2 (-347 *3)) (-5 *1 (-1160 *4 *3))
- (-4 *3 (-12 (-1156 *4) (-496) (-10 -8 (-14 -3147 ($ $ $)))))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-959 *4 *5)) (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-13 *5 (-584 (-1091)))
- (-5 *2 (-584 (-1061 *4 (-470 (-774 *6)) (-774 *6) (-704 *4 (-774 *6)))))
- (-5 *1 (-1208 *4 *5 *6)) (-13 *6 (-584 (-1091))))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-959 *4 *5)) (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-13 *5 (-584 (-1091))) (-5 *2 (-584 (-584 (-938 (-349 *4)))))
- (-5 *1 (-1208 *4 *5 *6)) (-13 *6 (-584 (-1091)))))
+ (AND #1=(|isDomain| *2 (|Polynomial| (|Integer|)))
+ #2=(|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))
+ (|ofCategory| *3 (|Algebra| (|Integer|)))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #3=((|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))))
+ (AND #1# #2#
+ (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #3#)))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|))))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Record| (|:| |val| (|List| *7)) (|:| |tower| *8)))
+ (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))
+ (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|String|))
+ (|isDomain| *1 (|RegularSetDecompositionPackage| *4 *5 *6 *7 *8))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Record| (|:| |val| (|List| *7)) (|:| |tower| *8)))
+ (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|ofCategory| *8 (|SquareFreeRegularTriangularSetCategory| *4 *5 *6 *7))
+ (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|String|))
+ (|isDomain| *1
+ (|SquareFreeRegularSetDecompositionPackage| *4 *5 *6 *7 *8))))
+ ((*1 *1 *2) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|Syntax|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|Syntax|))))
+ ((*1 *1 *2 *3 *2)
+ (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *3 (|Integer|))
+ (|isDomain| *1 (|TexFormat|))))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *3 (|Integer|))
+ (|isDomain| *1 (|TexFormat|))))
+ ((*1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *5)))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|ofType| *5 (|List| (|Symbol|)))
+ (|isDomain| *2
+ (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6)))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *6 (|List| (|Symbol|)))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Polynomial| *4))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|Polynomial| (|RealClosure| (|Fraction| *4))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|)))))
+ ((*1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6)))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|ofType| *6 (|List| (|Symbol|)))
+ (|isDomain| *2 (|Polynomial| (|RealClosure| (|Fraction| *4))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *5 (|List| (|Symbol|)))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2
+ (|SparseUnivariatePolynomial| (|RealClosure| (|Fraction| *4))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|)))))
+ ((*1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|SquareFreeRegularTriangularSet| *4
+ (|IndexedExponents|
+ (|OrderedVariableList| *6))
+ (|OrderedVariableList| *6)
+ (|NewSparseMultivariatePolynomial| *4
+ (|OrderedVariableList|
+ *6))))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|ofType| *6 (|List| (|Symbol|)))
+ (|isDomain| *2
+ (|List| (|NewSparseMultivariatePolynomial| *4 (|OrderedVariableList| *6))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *5 (|List| (|Symbol|))))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|IntegerFactorizationPackage| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|))
+ (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *3))
+ (|ofCategory| *3 (|PolynomialCategory| *6 *4 *5))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))
+ (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7)))
+ (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7))
+ (|isDomain| *3 (|SparseUnivariatePolynomial| *7))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Factored| *1))
+ (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedSet|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|PolynomialSquareFree| *4 *5 *6 *3))
+ (|ofCategory| *3 (|PolynomialCategory| *6 *5 *4))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|GcdDomain|))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))
+ (|isDomain| *2
+ (|Factored| (|SparseUnivariatePolynomial| (|Fraction| *7))))
+ (|isDomain| *1 (|SupFractionFactorizer| *4 *5 *6 *7))
+ (|isDomain| *3 (|SparseUnivariatePolynomial| (|Fraction| *7)))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Factored| *1))
+ (|ofCategory| *1 (|UniqueFactorizationDomain|))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|UnivariatePolynomialSquareFree| *4 *3))
+ (|ofCategory| *3
+ (|Join| (|UnivariatePolynomialCategory| *4)
+ (|IntegralDomain|)
+ (CATEGORY |domain| (SIGNATURE |gcd| ($ $ $)))))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|RegularChain| *4 *5))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|ofType| *5 (|List| (|Symbol|)))
+ (|isDomain| *2
+ (|List|
+ (|SquareFreeRegularTriangularSet| *4
+ (|IndexedExponents|
+ (|OrderedVariableList| *6))
+ (|OrderedVariableList| *6)
+ (|NewSparseMultivariatePolynomial|
+ *4 (|OrderedVariableList| *6)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *6 (|List| (|Symbol|))))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|RegularChain| *4 *5))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|ofType| *5 (|List| (|Symbol|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *6 (|List| (|Symbol|)))))
((*1 *2 *3 *4 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-82))
- (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-584 (-938 (-349 *5))))) (-5 *1 (-1208 *5 *6 *7))
- (-13 *6 (-584 (-1091))) (-13 *7 (-584 (-1091)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-82))
- (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-584 (-938 (-349 *5))))) (-5 *1 (-1208 *5 *6 *7))
- (-13 *6 (-584 (-1091))) (-13 *7 (-584 (-1091)))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-584 (-858 *4))) (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-584 (-938 (-349 *4))))) (-5 *1 (-1208 *4 *5 *6))
- (-13 *5 (-584 (-1091))) (-13 *6 (-584 (-1091))))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| (|Polynomial| *4)))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|))))))
(((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-584 (-858 (-485)))) (-5 *4 (-584 (-1091)))
- (-5 *2 (-584 (-584 (-329)))) (-5 *1 (-937)) (-5 *5 (-329))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| (|Integer|))))
+ (|isDomain| *4 (|List| (|Symbol|)))
+ (|isDomain| *2 (|List| (|List| (|Float|))))
+ (|isDomain| *1 (|RealSolvePackage|)) (|isDomain| *5 (|Float|))))
((*1 *2 *3)
- (-11 (-5 *3 (-959 *4 *5)) (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-13 *5 (-584 (-1091))) (-5 *2 (-584 (-584 (-938 (-349 *4)))))
- (-5 *1 (-1208 *4 *5 *6)) (-13 *6 (-584 (-1091)))))
+ (AND (|isDomain| *3 (|RegularChain| *4 *5))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|ofType| *5 (|List| (|Symbol|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *6 (|List| (|Symbol|)))))
((*1 *2 *3 *4 *4 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-82))
- (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-584 (-938 (-349 *5))))) (-5 *1 (-1208 *5 *6 *7))
- (-13 *6 (-584 (-1091))) (-13 *7 (-584 (-1091)))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
((*1 *2 *3 *4 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-82))
- (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-584 (-938 (-349 *5))))) (-5 *1 (-1208 *5 *6 *7))
- (-13 *6 (-584 (-1091))) (-13 *7 (-584 (-1091)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-82))
- (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-584 (-938 (-349 *5))))) (-5 *1 (-1208 *5 *6 *7))
- (-13 *6 (-584 (-1091))) (-13 *7 (-584 (-1091)))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-584 (-858 *4))) (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-584 (-938 (-349 *4))))) (-5 *1 (-1208 *4 *5 *6))
- (-13 *5 (-584 (-1091))) (-13 *6 (-584 (-1091))))))
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- (-11 (-5 *3 (-959 *4 *5)) (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-13 *5 (-584 (-1091)))
- (-5 *2 (-584 (-2 (|:| -1752 (-1086 *4)) (|:| -3227 (-584 (-858 *4))))))
- (-5 *1 (-1208 *4 *5 *6)) (-13 *6 (-584 (-1091)))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *5)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| (|Polynomial| *4)))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|List| (|RealClosure| (|Fraction| *4)))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|))))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|RegularChain| *4 *5))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|ofType| *5 (|List| (|Symbol|)))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *4))
+ (|:| |coordinates| (|List| (|Polynomial| *4))))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *6 (|List| (|Symbol|)))))
((*1 *2 *3 *4 *4 *4)
- (-11 (-5 *4 (-82)) (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-2 (|:| -1752 (-1086 *5)) (|:| -3227 (-584 (-858 *5))))))
- (-5 *1 (-1208 *5 *6 *7)) (-5 *3 (-584 (-858 *5))) (-13 *6 (-584 (-1091)))
- (-13 *7 (-584 (-1091)))))
+ (AND (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5))
+ (|:| |coordinates| (|List| (|Polynomial| *5))))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|isDomain| *3 (|List| (|Polynomial| *5)))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
((*1 *2 *3 *4 *4)
- (-11 (-5 *4 (-82)) (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-2 (|:| -1752 (-1086 *5)) (|:| -3227 (-584 (-858 *5))))))
- (-5 *1 (-1208 *5 *6 *7)) (-5 *3 (-584 (-858 *5))) (-13 *6 (-584 (-1091)))
- (-13 *7 (-584 (-1091)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-82)) (-4 *5 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-2 (|:| -1752 (-1086 *5)) (|:| -3227 (-584 (-858 *5))))))
- (-5 *1 (-1208 *5 *6 *7)) (-5 *3 (-584 (-858 *5))) (-13 *6 (-584 (-1091)))
- (-13 *7 (-584 (-1091)))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-2 (|:| -1752 (-1086 *4)) (|:| -3227 (-584 (-858 *4))))))
- (-5 *1 (-1208 *4 *5 *6)) (-5 *3 (-584 (-858 *4))) (-13 *5 (-584 (-1091)))
- (-13 *6 (-584 (-1091))))))
+ (AND (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5))
+ (|:| |coordinates| (|List| (|Polynomial| *5))))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|isDomain| *3 (|List| (|Polynomial| *5)))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *5))
+ (|:| |coordinates| (|List| (|Polynomial| *5))))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|isDomain| *3 (|List| (|Polynomial| *5)))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
+ ((*1 *2 *3)
+ (AND
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| *4))
+ (|:| |coordinates| (|List| (|Polynomial| *4))))))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofType| *5 (|List| (|Symbol|)))
+ (|ofType| *6 (|List| (|Symbol|))))))
(((*1 *2 *3 *4 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-82))
- (-4 *5 (-12 (-756) (-257) (-117) (-934))) (-5 *2 (-584 (-959 *5 *6)))
- (-5 *1 (-1208 *5 *6 *7)) (-13 *6 (-584 (-1091))) (-13 *7 (-584 (-1091)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-82))
- (-4 *5 (-12 (-756) (-257) (-117) (-934))) (-5 *2 (-584 (-959 *5 *6)))
- (-5 *1 (-1208 *5 *6 *7)) (-13 *6 (-584 (-1091))) (-13 *7 (-584 (-1091)))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|RegularChain| *5 *6)))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|RegularChain| *5 *6)))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7))
+ (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|)))))
((*1 *2 *3)
- (-11 (-5 *3 (-584 (-858 *4))) (-4 *4 (-12 (-756) (-257) (-117) (-934)))
- (-5 *2 (-584 (-959 *4 *5))) (-5 *1 (-1208 *4 *5 *6)) (-13 *5 (-584 (-1091)))
- (-13 *6 (-584 (-1091))))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1 (-1070 *4) (-1070 *4))) (-5 *2 (-1070 *4)) (-5 *1 (-1207 *4))
- (-4 *4 (-1130))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-1 (-584 (-1070 *5)) (-584 (-1070 *5)))) (-5 *4 (-485))
- (-5 *2 (-584 (-1070 *5))) (-5 *1 (-1207 *5)) (-4 *5 (-1130)))))
-(((*1 *1 *2) (-11 (-5 *2 (-584 (-831))) (-5 *1 (-1206)))))
-(((*1 *2 *1) (-11 (-5 *2 (-885)) (-5 *1 (-1206)))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| *4)))
+ (|ofCategory| *4
+ (|Join| (|OrderedRing|) (|EuclideanDomain|)
+ (|CharacteristicZero|) (|RealConstant|)))
+ (|isDomain| *2 (|List| (|RegularChain| *4 *5)))
+ (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6))
+ (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|))))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Mapping| #1=(|Stream| *4) #1#))
+ (|isDomain| *2 (|Stream| *4))
+ (|isDomain| *1 (|ParadoxicalCombinatorsForStreams| *4))
+ (|ofCategory| *4 (|Type|))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Mapping| #2=(|List| (|Stream| *5)) #2#))
+ (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| (|Stream| *5)))
+ (|isDomain| *1 (|ParadoxicalCombinatorsForStreams| *5))
+ (|ofCategory| *5 (|Type|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| (|PositiveInteger|)))
+ (|isDomain| *1 (|YoungDiagram|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|Partition|)) (|isDomain| *1 (|YoungDiagram|)))))
(((*1 *2 *3 *4)
- (-11 (-5 *4 (-831)) (-4 *6 (-496)) (-5 *2 (-584 (-264 *6)))
- (-5 *1 (-174 *5 *6)) (-5 *3 (-264 *6)) (-4 *5 (-962))))
- ((*1 *2 *1) (-11 (-5 *1 (-347 *2)) (-4 *2 (-496))))
+ (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *6 (|IntegralDomain|))
+ (|isDomain| *2 (|List| (|Expression| *6)))
+ (|isDomain| *1 (|DegreeReductionPackage| *5 *6))
+ (|isDomain| *3 (|Expression| *6)) (|ofCategory| *5 (|Ring|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))
((*1 *2 *3)
- (-11 (-5 *3 (-520 *5)) (-4 *5 (-12 (-26 *4) (-1116)))
- (-4 *4 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-584 *5))
- (-5 *1 (-522 *4 *5))))
+ (AND (|isDomain| *3 (|IntegrationResult| *5))
+ (|ofCategory| *5
+ (|Join| (|AlgebraicallyClosedFunctionSpace| *4)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|List| *5))
+ (|isDomain| *1 (|IntegrationResultToFunction| *4 *5))))
((*1 *2 *3)
- (-11 (-5 *3 (-520 (-349 (-858 *4))))
- (-4 *4 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-584 (-264 *4)))
- (-5 *1 (-526 *4))))
- ((*1 *2 *1) (-11 (-4 *1 (-1008 *3 *2)) (-4 *3 (-756)) (-4 *2 (-1065 *3))))
+ (AND (|isDomain| *3 (|IntegrationResult| (|Fraction| (|Polynomial| *4))))
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|List| (|Expression| *4)))
+ (|isDomain| *1 (|IntegrationResultRFToFunction| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|SegmentExpansionCategory| *3 *2))
+ (|ofCategory| *3 (|OrderedRing|))
+ (|ofCategory| *2 (|StreamAggregate| *3))))
((*1 *2 *3)
- (-11 (-5 *3 (-584 *1)) (-4 *1 (-1008 *4 *2)) (-4 *4 (-756))
- (-4 *2 (-1065 *4))))
+ (AND (|isDomain| *3 (|List| *1))
+ (|ofCategory| *1 (|SegmentExpansionCategory| *4 *2))
+ (|ofCategory| *4 (|OrderedRing|))
+ (|ofCategory| *2 (|StreamAggregate| *4))))
((*1 *2 *2)
- (-11 (-4 *3 (-392)) (-5 *1 (-1122 *3 *2)) (-4 *2 (-12 (-363 *3) (-1116)))))
+ (AND (|ofCategory| *3 (|GcdDomain|))
+ (|isDomain| *1 (|TranscendentalManipulations| *3 *2))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *3)
+ (|TranscendentalFunctionCategory|)))))
((*1 *2 *1)
- (-11 (-5 *2 (-1196 (-1091) *3)) (-5 *1 (-1202 *3)) (-4 *3 (-962))))
+ (AND (|isDomain| *2 (|XDistributedPolynomial| (|Symbol|) *3))
+ (|isDomain| *1 (|XPolynomial| *3)) (|ofCategory| *3 (|Ring|))))
((*1 *2 *1)
- (-11 (-5 *2 (-1196 *3 *4)) (-5 *1 (-1205 *3 *4)) (-4 *3 (-757))
- (-4 *4 (-962)))))
+ (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4))
+ (|isDomain| *1 (|XRecursivePolynomial| *3 *4))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)))))
(((*1 *1 *2)
- (-11 (-5 *2 (-1196 (-1091) *3)) (-4 *3 (-962)) (-5 *1 (-1202 *3))))
+ (AND (|isDomain| *2 (|XDistributedPolynomial| (|Symbol|) *3))
+ (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|XPolynomial| *3))))
((*1 *1 *2)
- (-11 (-5 *2 (-1196 *3 *4)) (-4 *3 (-757)) (-4 *4 (-962))
- (-5 *1 (-1205 *3 *4)))))
+ (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))
+ (|isDomain| *1 (|XRecursivePolynomial| *3 *4)))))
(((*1 *2 *1)
- (-11 (-5 *2 (-584 (-2 (|:| |k| (-1091)) (|:| |c| (-1202 *3)))))
- (-5 *1 (-1202 *3)) (-4 *3 (-962))))
+ (AND
+ (|isDomain| *2
+ (|List| (|Record| (|:| |k| (|Symbol|)) (|:| |c| (|XPolynomial| *3)))))
+ (|isDomain| *1 (|XPolynomial| *3)) (|ofCategory| *3 (|Ring|))))
((*1 *2 *1)
- (-11 (-5 *2 (-584 (-2 (|:| |k| *3) (|:| |c| (-1205 *3 *4)))))
- (-5 *1 (-1205 *3 *4)) (-4 *3 (-757)) (-4 *4 (-962)))))
-(((*1 *1 *2 *1) (-11 (-4 *1 (-20)) (-5 *2 (-695))))
- ((*1 *1 *2 *1) (-11 (-4 *1 (-22)) (-5 *2 (-831))))
+ (AND
+ (|isDomain| *2
+ (|List| (|Record| (|:| |k| *3) (|:| |c| (|XRecursivePolynomial| *3 *4)))))
+ (|isDomain| *1 (|XRecursivePolynomial| *3 *4))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)))))
+(((*1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|AbelianMonoid|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|AbelianSemiGroup|))
+ (|isDomain| *2 (|PositiveInteger|))))
((*1 *1 *1 *1)
- (-11 (-5 *1 (-105 *2 *3 *4)) (-13 *2 (-485)) (-13 *3 (-695)) (-4 *4 (-145))))
- ((*1 *1 *2 *1) (-11 (-5 *2 (-178)) (-5 *1 (-127))))
- ((*1 *1 *2 *1) (-11 (-5 *2 (-831)) (-5 *1 (-127))))
+ (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|))
+ (|ofType| *3 (|NonNegativeInteger|))
+ (|ofCategory| *4 (|CommutativeRing|))))
+ ((*1 *1 *2 *1)
+ (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|Color|))))
+ ((*1 *1 *2 *1)
+ (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|Color|))))
((*1 *2 *1 *2)
- (-11 (-5 *2 (-855 *3)) (-4 *3 (-12 (-311) (-1116))) (-5 *1 (-180 *3))))
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- ((*1 *1 *1 *2) (-11 (-5 *1 (-309 *2)) (-4 *2 (-1014))))
- ((*1 *1 *2 *1) (-11 (-5 *1 (-309 *2)) (-4 *2 (-1014))))
- ((*1 *1 *2 *3) (-11 (-5 *1 (-333 *3 *2)) (-4 *3 (-962)) (-4 *2 (-757))))
- ((*1 *1 *2 *3) (-11 (-4 *1 (-334 *2 *3)) (-4 *2 (-962)) (-4 *3 (-1014))))
- ((*1 *1 *1 *2) (-11 (-4 *1 (-335 *2)) (-4 *2 (-1014))))
- ((*1 *1 *2 *1) (-11 (-4 *1 (-335 *2)) (-4 *2 (-1014))))
+ (AND (|isDomain| *2 (|Point| *3))
+ (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))
+ (|isDomain| *1 (|DenavitHartenbergMatrix| *3))))
((*1 *1 *2 *1)
- (-11 (-13 *3 (-584 (-1091))) (-4 *4 (-145)) (-4 *6 (-195 (-3961 *3) (-695)))
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+ (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|SemiGroup|))
+ (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|SemiGroup|))
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+ (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *2))
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+ ((*1 *1 *1 *2)
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+ (AND (|isDomain| *1 (|FreeModule1| *3 *2)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *2 (|OrderedSet|))))
+ ((*1 *1 *2 *3)
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+ (AND (|ofCategory| *1 (|FreeMonoidCategory| *2))
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+ ((*1 *1 *2 *1)
+ (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *6
+ (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|)))
+ (|ofType| *7
+ (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *6))
+ (|Record| (|:| |index| *5) (|:| |exponent| *6))))
+ (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *5 *6 *7 *2))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *2
+ (|PolynomialCategory| *4 *6 (|OrderedVariableList| *3)))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|GradedModule| *2 *3))
+ (|ofCategory| *2 (|CommutativeRing|))
+ (|ofCategory| *3 (|AbelianMonoid|))))
+ ((*1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|GradedModule| *2 *3))
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- (-4 *7 (-1014)) (-5 *2 (-1 *7 *5)) (-5 *1 (-626 *5 *6 *7))))
+ (AND (|ofCategory| *2 (|Field|))
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+ (|ofCategory| *4 (|OrderedSet|))
+ (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5))
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+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))
+ (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *3))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|InputForm|)))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|InnerTaylorSeries| *3))
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- (-11 (-4 *1 (-628 *3 *2 *4)) (-4 *3 (-962)) (-4 *2 (-323 *3))
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- (-4 *2 (-323 *3))))
+ (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|))
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+ (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|))
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- (-4 *4 (-323 *2))))
+ (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|))
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- (-11 (-4 *1 (-628 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-323 *2))
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+ ((*1 *1 *1 *1)
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+ ((*1 *1 *1 *1) (|ofCategory| *1 (|Monad|)))
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- ((*1 *1 *1 *1) (-11 (-5 *1 (-801 *2)) (-4 *2 (-1014))))
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- ((*1 *1 *1 *2) (-11 (-4 *1 (-964 *2)) (-4 *2 (-1026))))
- ((*1 *1 *1 *1) (-4 *1 (-1026)))
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+ (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *1 (|PseudoRemainderSequence| *3 *4))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|RightLinearSet| *2))
+ (|ofCategory| *2 (|SemiGroup|))))
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+ (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *4 *2 *5))
+ (|ofCategory| *4 (|Ring|))
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- (-4 *2 (-195 *3 *4))))
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+ (|ofCategory| *2 (|PolynomialCategory| *3 (|IndexedExponents| *4) *4))))
+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|))
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+ ((*1 *2 *3 *2)
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+ ((*1 *2 *3 *2)
+ (AND (|isDomain| *2 (|Point| (|DoubleFloat|)))
+ (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *1 (|TubePlotTools|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|))
+ (|ofCategory| *2 (|Monoid|))))
+ ((*1 *1 *2 *1)
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((*1 *1 *2 *1)
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- ((*1 *1 *1) (-11 (-5 *1 (-47 *2 *3)) (-4 *2 (-962)) (-13 *3 (-584 (-1091)))))
+ (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3))
+ (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|))))
+ ((*1 *1 *1 *2)
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+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|OrderedMonoid|)))))
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+ ((*1 *1 *1)
+ (AND (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofCategory| *2 (|Ring|))
+ (|ofType| *3 (|List| (|Symbol|)))))
+ ((*1 *1 *1)
+ (AND (|isDomain| *1 (|DeRhamComplex| *2 *3))
+ (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|)))
+ (|ofType| *3 (|List| (|Symbol|)))))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3)) (|ofCategory| *2 (|Ring|))
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+ ((*1 *1 *1)
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((*1 *1 *1)
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- ((*1 *1 *1) (-11 (-4 *1 (-334 *2 *3)) (-4 *2 (-962)) (-4 *3 (-1014))))
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((*1 *1 *1)
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((*1 *1 *1)
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- ((*1 *1 *1) (-11 (-4 *1 (-762 *2)) (-4 *2 (-962))))
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((*1 *1 *1 *2)
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((*1 *2 *1)
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+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))
+ (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|))
+ (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Integer|))))
+ ((*1 *2 *1)
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(((*1 *2 *1)
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- ((*1 *2 *1) (-11 (-4 *2 (-755)) (-5 *1 (-1204 *3 *2)) (-4 *3 (-962)))))
+ (AND (|ofCategory| *1 (|XPolynomialsCat| *3 *4))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))
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+ ((*1 *2 *1)
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(((*1 *2 *1)
- (-11 (-4 *1 (-1200 *3 *4)) (-4 *3 (-757)) (-4 *4 (-962)) (-5 *2 (-740 *3))))
- ((*1 *2 *1) (-11 (-4 *2 (-755)) (-5 *1 (-1204 *3 *2)) (-4 *3 (-962)))))
+ (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4))
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+ ((*1 *2 *1)
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(((*1 *2 *3 *1)
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+ (AND (|isDomain| *3 (|XRecursivePolynomial| *4 *2))
+ (|ofCategory| *1 (|FreeLieAlgebra| *4 *2))
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((*1 *2 *1 *3)
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((*1 *2 *1)
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((*1 *2 *1)
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+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedMonoid|)))))
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- ((*1 *2 *1) (-11 (-4 *2 (-962)) (-5 *1 (-1204 *2 *3)) (-4 *3 (-755)))))
+ (AND (|isDomain| *3 (|Mapping| *5)) (|ofCategory| *5 (|SetCategory|))
+ (|isDomain| *2 (|Mapping| *5 *4))
+ (|isDomain| *1 (|MappingPackage2| *4 *5))
+ (|ofCategory| *4 (|SetCategory|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Expression| (|Integer|)))
+ (|isDomain| *1 (|PatternMatchAssertions|))))
+ ((*1 *2 *2)
+ (AND (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *1 (|FunctionSpaceAssertions| *3 *2))
+ (|ofCategory| *2 (|FunctionSpace| *3))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *2))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|XPolynomialRing| *2 *3))
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(((*1 *2 *1)
- (-11 (-4 *1 (-1200 *3 *4)) (-4 *3 (-757)) (-4 *4 (-962)) (-5 *2 (-82))))
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((*1 *2 *1)
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- ((*1 *1 *1) (-11 (-5 *1 (-1204 *2 *3)) (-4 *2 (-962)) (-4 *3 (-755)))))
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|XPolynomialRing| *3 *4))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedMonoid|)))))
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+ (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3))
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- ((*1 *1 *1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-178))))
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+ (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Field|))))
+ ((*1 *1 *1 *2)
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- ((*1 *1 *1 *1) (-4 *1 (-311)))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-329))))
+ (OR
+ (AND #1=(|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Field|))
+ . #2=((|ofCategory| *2 (|Type|))))
+ (AND #1# (|ofCategory| *2 (|Group|)) . #2#)))
+ ((*1 *1 *1 *1) (|ofCategory| *1 (|Field|)))
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- ((*1 *2 *2 *2) (-11 (-5 *2 (-1180 *3)) (-4 *3 (-298)) (-5 *1 (-467 *3))))
- ((*1 *1 *1 *1) (-5 *1 (-474)))
+ (AND (|isDomain| *2 (|SparseMultivariatePolynomial| *3 (|Kernel| *1)))
+ (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|SetCategory|))
+ (|ofCategory| *1 (|FunctionSpace| *3))))
+ ((*1 *1 *1 *1) (|ofCategory| *1 (|Group|)))
+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))
+ (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *3))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|InputForm|)))
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- (-11 (-4 *4 (-145)) (-5 *1 (-559 *2 *4 *3)) (-4 *2 (-35 *4))
- (-4 *3 (|SubsetCategory| (-664) *4))))
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- ((*1 *1 *1 *2) (-11 (-4 *1 (-575 *2)) (-4 *2 (-145)) (-4 *2 (-311))))
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+ ((*1 *1 *1 *2)
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- (-11 (-4 *4 (-145)) (-5 *1 (-595 *2 *4 *3)) (-4 *2 (-655 *4))
- (-4 *3 (|SubsetCategory| (-664) *4))))
+ (AND (|ofCategory| *4 (|CommutativeRing|))
+ (|isDomain| *1 (|Localize| *2 *4 *3)) (|ofCategory| *2 (|Module| *4))
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- (-11 (-4 *4 (-145)) (-5 *1 (-595 *3 *4 *2)) (-4 *3 (-655 *4))
- (-4 *2 (|SubsetCategory| (-664) *4))))
+ (AND (|ofCategory| *4 (|CommutativeRing|))
+ (|isDomain| *1 (|Localize| *3 *4 *2)) (|ofCategory| *3 (|Module| *4))
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- (-4 *4 (-323 *2)) (-4 *2 (-311))))
- ((*1 *1 *1 *1) (-5 *1 (-773)))
+ (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|Field|))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *1 *1 *1)
+ (|partial| AND (|isDomain| *1 (|OrdinaryWeightedPolynomials| *2 *3 *4 *5))
+ (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Ring|))
+ (|ofType| *3 (|List| (|Symbol|)))
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- (-13 *3 (-584 (-1091))) (-13 *4 (-584 (-695))) (-13 *5 (-695))))
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- ((*1 *1 *1 *2) (-11 (-4 *1 (-1188 *2)) (-4 *2 (-311))))
+ (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *1 *2 *2)
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+ (|ofCategory| *2 (|IntegralDomain|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *2 *5 *6))
+ (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *5 (|DirectProductCategory| *4 *2))
+ (|ofCategory| *6 (|DirectProductCategory| *3 *2))
+ (|ofCategory| *2 (|Field|))))
+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))
+ ((*1 *1 *1 *2)
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((*1 *1 *1 *1)
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+ (|partial| AND (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|OrderedSet|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofType| *6 (|List| *3))
+ (|isDomain| *1 (|WeightedPolynomials| *2 *3 *4 *5 *6 *7 *8))
+ (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3))
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((*1 *1 *1 *2)
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-(((*1 *2 *1) (-11 (-4 *1 (-44 *3 *2)) (-4 *3 (-962)) (-4 *2 (-717))))
+ (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Field|))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedMonoid|)))))
+(((*1 *2 *1)
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((*1 *2 *1)
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((*1 *2 *1)
- (-11 (-5 *2 (-485)) (-5 *1 (-176 *3 *4)) (-4 *3 (-12 (-962) (-757)))
- (-13 *4 (-584 (-1091)))))
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DeRhamComplex| *3 *4))
+ (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|)))
+ (|ofType| *4 (|List| (|Symbol|)))))
((*1 *2 *1 *3)
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- (-5 *1 (-271 *5 *6 *7 *8))))
- ((*1 *2 *1) (-11 (-4 *1 (-279 *3)) (-4 *3 (-311)) (-5 *2 (-831))))
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+ (|ofCategory| *5 (|DifferentialVariableCategory| *3))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
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+ ((*1 *2 *3 *4)
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+ (|isDomain| *4 (|List| *6)) (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *8 (|PolynomialCategory| *7 *5 *6))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|Ring|))
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+ (|isDomain| *1 (|FactoringUtilities| *5 *6 *7 *8))))
+ ((*1 *2 *1)
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((*1 *2 *1)
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- ((*1 *2 *1) (-11 (-4 *1 (-410 *3 *2)) (-4 *3 (-145)) (-4 *2 (-20))))
+ (AND (|ofCategory| *1 (|FreeLieAlgebra| *3 *4))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|))
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((*1 *2 *1)
- (-11 (-4 *3 (-496)) (-5 *2 (-485)) (-5 *1 (-563 *3 *4)) (-4 *4 (-1156 *3))))
- ((*1 *2 *1) (-11 (-4 *1 (-646 *3)) (-4 *3 (-962)) (-5 *2 (-695))))
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- ((*1 *2 *1) (-11 (-5 *2 (-695)) (-5 *1 (-817 *3)) (-4 *3 (-1014))))
+ (AND (|ofCategory| *1 (|GradedModule| *3 *2))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *2 (|AbelianMonoid|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|LaurentPolynomial| *3 *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|MonogenicLinearOperator| *3))
+ (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3))
+ (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|PermutationGroup| *3))
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((*1 *2 *1 *3)
- (-11 (-5 *3 (-584 *6)) (-4 *1 (-862 *4 *5 *6)) (-4 *4 (-962)) (-4 *5 (-718))
- (-4 *6 (-757)) (-5 *2 (-584 (-695)))))
+ (AND (|isDomain| *3 (|List| *6))
+ (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
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((*1 *2 *1 *3)
- (-11 (-4 *1 (-862 *4 *5 *3)) (-4 *4 (-962)) (-4 *5 (-718)) (-4 *3 (-757))
- (-5 *2 (-695))))
+ (AND (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3))
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((*1 *2 *1)
- (-11 (-4 *1 (-887 *3 *2 *4)) (-4 *3 (-962)) (-4 *4 (-757)) (-4 *2 (-717))))
+ (AND (|ofCategory| *1 (|PowerSeriesCategory| *3 *2 *4))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|))
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((*1 *2 *1)
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- (-4 *6 (-978 *3 *4 *5)) (-5 *2 (-695))))
+ (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6))
+ (|ofCategory| *3 (|IntegralDomain|))
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+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
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((*1 *2 *1)
- (-11 (-4 *1 (-1144 *3 *4)) (-4 *3 (-962)) (-4 *4 (-1173 *3)) (-5 *2 (-485))))
+ (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *4))
+ (|ofCategory| *3 (|Ring|))
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((*1 *2 *1)
- (-11 (-4 *1 (-1165 *3 *4)) (-4 *3 (-962)) (-4 *4 (-1142 *3))
- (-5 *2 (-349 (-485)))))
- ((*1 *2 *1) (-11 (-4 *1 (-1199 *3)) (-4 *3 (-311)) (-5 *2 (-744 (-831)))))
+ (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4))
+ (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3))
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((*1 *2 *1)
- (-11 (-4 *1 (-1203 *3 *4)) (-4 *3 (-757)) (-4 *4 (-962)) (-5 *2 (-695)))))
+ (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|))
+ (|isDomain| *2 (|OnePointCompletion| (|PositiveInteger|)))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|XPolynomialsCat| *3 *4))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))
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(((*1 *1 *1 *2)
- (-11 (-5 *2 (-695)) (-4 *1 (-325 *3 *4)) (-4 *3 (-757)) (-4 *4 (-145))))
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((*1 *1 *1 *2)
- (-11 (-5 *2 (-695)) (-4 *1 (-1203 *3 *4)) (-4 *3 (-757)) (-4 *4 (-962)))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|XPolynomialsCat| *3 *4))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
- (-4 *2 (-1144 *3 *4))))
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- (-5 *1 (-232 *3 *4 *2 *5)) (-4 *2 (-1165 *3 *4)) (-4 *5 (-897 *4))))
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((*1 *2 *1)
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((*1 *1 *1 *2)
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+ ((*1 *1 *1 *1)
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+ (|ofCategory| *3 (|OrderedSet|))
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- ((*1 *2) (-11 (-4 *1 (-1199 *3)) (-4 *3 (-311)) (-5 *2 (-744 (-831))))))
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+ (AND (|isDomain| *3 (|NonNegativeInteger|))
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+ (|ofCategory| *5 (|OrderedSet|))
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+ (|ofType| *6 (|List| *3)) (|ofType| *7 *3)))
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- (-4 *7 (-1130)) (-4 *5 (-1130)) (-5 *2 (-196 *6 *5))
- (-5 *1 (-197 *6 *7 *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))
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- (-5 *1 (-324 *6 *4 *5 *2)) (-4 *4 (-323 *6))))
+ (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|ofCategory| *6 (|Type|))
+ (|ofCategory| *5 (|Type|))
+ (|ofCategory| *2 (|FiniteLinearAggregate| *5))
+ (|isDomain| *1 (|FiniteLinearAggregateFunctions2| *6 *4 *5 *2))
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- (-5 *1 (-369 *6 *4 *5 *2)) (-4 *4 (-368 *6))))
+ (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|ofCategory| *6 (|SetCategory|))
+ (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *2 (|FiniteSetAggregate| *5))
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- (-5 *2 (-584 *5)) (-5 *1 (-585 *6 *5))))
+ (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|isDomain| *4 (|List| *6))
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- (-5 *2 (-870 *5)) (-5 *1 (-871 *6 *5))))
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- (-5 *2 (-1070 *3)) (-5 *1 (-1072 *6 *3))))
+ (AND (|isDomain| *4 (|Mapping| *3 *6 *3)) (|isDomain| *5 (|Stream| *6))
+ (|ofCategory| *6 (|Type|)) (|ofCategory| *3 (|Type|))
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+ (AND (|isDomain| *3 (|Mapping| *5 *6 *5)) (|isDomain| *4 (|Vector| *6))
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+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *1 (|Vector| *3)))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|AbelianSemiGroup|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|Color|)))
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- (-4 *2
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- ((*1 *1 *2 *1) (-11 (-4 *1 (-273 *2 *3)) (-4 *2 (-1014)) (-4 *3 (-101))))
+ (AND (|isDomain| *1 (|Database| *2))
+ (|ofCategory| *2
+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |elt| ((|String|) $ (|Symbol|)))
+ (SIGNATURE |display| ((|Void|) $))
+ (SIGNATURE |fullDisplay| ((|Void|) $)))))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianSemiGroup|))
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- ((*1 *1 *1 *1) (-11 (-4 *1 (-410 *2 *3)) (-4 *2 (-145)) (-4 *3 (-20))))
+ (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianSemiGroup|))
+ (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *2 *3))
+ (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *3 (|CancellationAbelianMonoid|))))
+ ((*1 *1 *2 *1)
+ (AND (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|)))
+ (|isDomain| *1 (|FullPartialFractionExpansion| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|GradedModule| *2 *3))
+ (|ofCategory| *2 (|CommutativeRing|))
+ (|ofCategory| *3 (|AbelianMonoid|))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *2 (|Field|))
+ (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|))
+ (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5))
+ (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|InputForm|)))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *2))))
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((*1 *1 *1 *1)
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- (-4 *5 (-862 *2 *3 *4))))
- ((*1 *1 *1 *1) (-5 *1 (-474)))
+ (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))
+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Point| (|DoubleFloat|)))
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((*1 *1 *1 *1)
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- ((*1 *1 *1 *1) (-11 (-4 *1 (-1179 *2)) (-4 *2 (-1130)) (-4 *2 (-22)))))
+ (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|))
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(((*1 *1 *2 *2)
- (-11 (-5 *2 (-695)) (-4 *3 (-962)) (-4 *1 (-628 *3 *4 *5)) (-4 *4 (-323 *3))
- (-4 *5 (-323 *3))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *1 (|MatrixCategory| *3 *4 *5))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *3))
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- (-11 (-5 *2 (-695)) (-4 *1 (-1179 *3)) (-4 *3 (-20)) (-4 *3 (-1130)))))
-(((*1 *1 *1 *1) (-4 *1 (-18))) ((*1 *1 *1) (-4 *1 (-18)))
- ((*1 *1 *1 *1) (|partial| -5 *1 (-104)))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|VectorCategory| *3))
+ (|ofCategory| *3 (|AbelianMonoid|)) (|ofCategory| *3 (|Type|)))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|AbelianGroup|)))
+ ((*1 *1 *1) (|ofCategory| *1 (|AbelianGroup|)))
+ ((*1 *1 *1 *1) (|partial| |isDomain| *1 (|CardinalNumber|)))
+ ((*1 *1 *1 *1)
+ (AND (|isDomain| *1 (|Database| *2))
+ (|ofCategory| *2
+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |elt| ((|String|) $ (|Symbol|)))
+ (SIGNATURE |display| ((|Void|) $))
+ (SIGNATURE |fullDisplay| ((|Void|) $)))))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|))
+ (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *2 *1)
+ (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|))
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- ((*1 *1 *1) (-11 (-4 *1 (-410 *2 *3)) (-4 *2 (-145)) (-4 *3 (-20))))
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+ (|ofCategory| *2 (|CommutativeRing|))
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- (-4 *4 (-323 *2))))
+ (AND (|ofCategory| *1 (|GradedModule| *2 *3))
+ (|ofCategory| *2 (|CommutativeRing|))
+ (|ofCategory| *3 (|AbelianMonoid|))))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *2))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *2))
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+ ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *2 *2 *2)
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+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|))
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+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Point| (|DoubleFloat|)))
+ (|isDomain| *1 (|TubePlotTools|))))
((*1 *1 *1 *1)
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- ((*1 *2 *1 *1) (-11 (-4 *1 (-1179 *2)) (-4 *2 (-1130)) (-4 *2 (-962)))))
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+ (|ofCategory| *2 (|AbelianGroup|))))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|))
+ (|ofCategory| *2 (|AbelianGroup|)))))
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- ((*1 *2 *1) (-11 (-5 *2 (-695)) (-5 *1 (-1128 *3)) (-4 *3 (-1130))))
+ (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)
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+ (|ofCategory| *2 (|Ring|)))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|VectorCategory| *3)) (|ofCategory| *3 (|Type|))
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+(((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|PointCategory| *2)) (|ofCategory| *2 (|Ring|))))
+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Point| (|DoubleFloat|)))
+ (|isDomain| *1 (|TubePlotTools|))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|))
+ (|ofCategory| *2 (|Ring|)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *2
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *4)
+ (|Field|) (|TranscendentalFunctionCategory|)
+ (|ElementaryFunctionCategory|)))
+ (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))
+ ((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|LyndonWord| *3))
+ (|ofCategory| *3 (|OrderedSet|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|Magma| *3))
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((*1 *2 *1)
- (-11 (-4 *1 (-1179 *2)) (-4 *2 (-1130)) (-4 *2 (-916)) (-4 *2 (-962)))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|OrderedFreeMonoid| *3))
+ (|ofCategory| *3 (|OrderedSet|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3))
+ (|ofCategory| *3 (|OrderedSet|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|QueueAggregate| *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Tuple| *3))
+ (|ofCategory| *3 (|Type|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|))
+ (|ofCategory| *2 (|RadicalCategory|)) (|ofCategory| *2 (|Ring|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|))
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(((*1 *2 *1)
- (-11 (-4 *1 (-1179 *2)) (-4 *2 (-1130)) (-4 *2 (-916)) (-4 *2 (-962)))))
-(((*1 *2 *1) (-11 (-4 *1 (-227 *2)) (-4 *2 (-757))))
+ (AND (|ofCategory| *1 (|DifferentialVariableCategory| *2))
+ (|ofCategory| *2 (|OrderedSet|))))
((*1 *1 *2)
- (|partial| -11 (-5 *2 (-1091)) (-5 *1 (-774 *3)) (-13 *3 (-584 *2))))
- ((*1 *2 *1) (-11 (-5 *2 (-1091)) (-5 *1 (-903))))
+ (|partial| AND (|isDomain| *2 (|Symbol|))
+ (|isDomain| *1 (|OrderedVariableList| *3)) (|ofType| *3 (|List| *2))))
((*1 *2 *1)
- (-11 (-4 *4 (-1130)) (-5 *2 (-1091)) (-5 *1 (-972 *3 *4))
- (-4 *3 (-1007 *4))))
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((*1 *2 *1)
- (-11 (-4 *1 (-1159 *3 *4)) (-4 *3 (-962)) (-4 *4 (-717)) (-5 *2 (-1091))))
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- (-11 (-4 *4 (-962)) (-4 *5 (-1156 *4)) (-5 *2 (-1 *6 (-584 *6)))
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+ (AND (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Symbol|))
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+ (|ofCategory| *3 (|SegmentCategory| *4))))
+ ((*1 *2 *1)
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+ ((*1 *2 *1)
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+ (|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)
+ (AND (|isDomain| *3 (|Fraction| *5))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4))
+ (|isDomain| *1 (|UTSodetools| *4 *5 *6 *2))
+ (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Mapping| *6 (|List| *6)))
+ (|isDomain| *1 (|UTSodetools| *4 *5 *3 *6))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))
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(((*1 *2 *3 *4)
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(((*1 *2 *1)
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+ (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4))
+ (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *4 *5 *2))
+ (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *4 *5))))
((*1 *2 *2 *3)
- (-11 (-5 *3 (-349 (-485))) (-4 *4 (-311)) (-4 *4 (-35 *3)) (-4 *5 (-1142 *4))
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- (-5 *1 (-444 *3 *4 *5 *6)) (-4 *6 (-862 *3 *4 *5))))
+ (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *4 (|Field|))
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+ (|ofCategory| *5 (|UnivariateLaurentSeriesCategory| *4))
+ (|isDomain| *1
+ (|ElementaryFunctionsUnivariatePuiseuxSeries| *4 *5 *2 *6))
+ (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *4 *5))
+ (|ofCategory| *6 (|PartialTranscendentalFunctions| *5))))
+ ((*1 *1 *1 *1) (|ofCategory| *1 (|ElementaryFunctionCategory|)))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|FreeGroup| *2))
+ (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|Float|)))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|FreeMonoidCategory| *2))
+ (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|SetCategory|))
+ (|ofCategory| *3 (|SemiGroup|))))
+ ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Group|)) (|isDomain| *2 (|Integer|))))
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+ (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6))
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((*1 *2 *2 *3)
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- ((*1 *1 *1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-474))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-695)) (-5 *1 (-474))))
+ (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Integer|))
+ (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|InputForm|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InputForm|))))
((*1 *2 *2 *3)
- (-11 (-5 *2 (-1 *4 *4)) (-5 *3 (-695)) (-4 *4 (-1014)) (-5 *1 (-624 *4))))
+ (AND (|isDomain| *2 (|Mapping| *4 *4)) (|isDomain| *3 (|NonNegativeInteger|))
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+ (|isDomain| *1 (|MappingPackage1| *4))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-485)) (-4 *1 (-628 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-323 *3))
- (-4 *5 (-323 *3)) (-4 *3 (-311))))
+ (AND (|isDomain| *2 (|Integer|))
+ (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|))
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((*1 *1 *1 *2)
- (-11 (-5 *2 (-695)) (-4 *1 (-628 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-323 *3))
- (-4 *5 (-323 *3))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|))
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((*1 *2 *2 *3)
- (-11 (-5 *2 (-631 *4)) (-5 *3 (-695)) (-4 *4 (-962)) (-5 *1 (-632 *4))))
+ (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *3 (|NonNegativeInteger|))
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+ (|isDomain| *1 (|StorageEfficientMatrixOperations| *4))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-485)) (-4 *3 (-962)) (-5 *1 (-652 *3 *4)) (-4 *4 (-591 *3))))
+ (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|ModuleOperator| *3 *4))
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((*1 *1 *2 *3)
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- ((*1 *1 *1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-746 *3)) (-4 *3 (-962))))
+ (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Integer|))
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+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|Monad|)) (|isDomain| *2 (|PositiveInteger|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|MonadWithUnit|))
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+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|Monoid|)) (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Operator| *3))
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((*1 *1 *2 *3)
- (-11 (-5 *2 (-83)) (-5 *3 (-485)) (-5 *1 (-746 *4)) (-4 *4 (-962))))
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- (-4 *5 (-195 *3 *4)) (-4 *6 (-195 *3 *4)) (-4 *4 (-311))))
+ (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Integer|))
+ (|isDomain| *1 (|Operator| *4)) (|ofCategory| *4 (|Ring|))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *1 *1 *1)
+ (AND (|isDomain| *1 (|Pattern| *2)) (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Pattern| *3))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|RadicalCategory|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|SemiGroup|)) (|isDomain| *2 (|PositiveInteger|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|ofCategory| *1 (|SquareMatrixCategory| *3 *4 *5 *6))
+ (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *5 (|DirectProductCategory| *3 *4))
+ (|ofCategory| *6 (|DirectProductCategory| *3 *4))
+ (|ofCategory| *4 (|Field|))))
((*1 *2 *2 *2)
- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1077 *3))))
+ (AND (|isDomain| *2 (|Stream| *3))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))
((*1 *2 *2 *2)
- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1078 *3))))
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-(((*1 *2 *3 *4)
- (-11 (-5 *4 (-1005 (-751 *3))) (-4 *3 (-12 (-1116) (-872) (-26 *5)))
- (-4 *5 (-12 (-257) (-117) (-951 (-485)) (-581 (-485))))
- (-5 *2
- (-3 (|:| |f1| (-751 *3)) (|:| |f2| (-584 (-751 *3)))
- (|:| |fail| #1="failed") (|:| |pole| #2="potentialPole")))
- (-5 *1 (-172 *5 *3))))
+ (AND (|isDomain| *2 (|Stream| *3))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *2))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| *3)))
+ (|ofCategory| *3
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|PrimitiveFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *5)))
+ (|ofCategory| *5
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|:| |f1| (|OrderedCompletion| *3))
+ (|:| |f2| (|List| (|OrderedCompletion| *3)))
+ (|:| |fail| #1="failed") (|:| |pole| #2="potentialPole")))
+ (|isDomain| *1 (|ElementaryFunctionDefiniteIntegration| *5 *3))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *4 (-1005 (-751 *3))) (-5 *5 (-1074))
- (-4 *3 (-12 (-1116) (-872) (-26 *6)))
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- (-5 *2
- (-3 (|:| |f1| (-751 *3)) (|:| |f2| (-584 (-751 *3))) (|:| |fail| #1#)
- (|:| |pole| #2#)))
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- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-349 (-858 *5))) (-5 *4 (-1005 (-751 (-264 *5))))
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- (-5 *2
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- (|:| |fail| #3="failed") (|:| |pole| #4="potentialPole")))
- (-5 *1 (-173 *5))))
+ (AND (|isDomain| *4 (|SegmentBinding| (|OrderedCompletion| *3)))
+ (|isDomain| *5 (|String|))
+ (|ofCategory| *3
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|PrimitiveFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|:| |f1| (|OrderedCompletion| *3))
+ (|:| |f2| (|List| (|OrderedCompletion| *3))) (|:| |fail| #1#)
+ (|:| |pole| #2#)))
+ (|isDomain| *1 (|ElementaryFunctionDefiniteIntegration| *6 *3))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5)))
+ (|isDomain| *4
+ (|SegmentBinding| (|OrderedCompletion| (|Expression| *5))))
+ (|ofCategory| *5
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *5)))
+ (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *5))))
+ (|:| |fail| #3="failed") (|:| |pole| #4="potentialPole")))
+ (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *5))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-349 (-858 *6))) (-5 *4 (-1005 (-751 (-264 *6))))
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- (-3 (|:| |f1| (-751 (-264 *6))) (|:| |f2| (-584 (-751 (-264 *6))))
- (|:| |fail| #3#) (|:| |pole| #4#)))
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- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-1005 (-751 (-349 (-858 *5))))) (-5 *3 (-349 (-858 *5)))
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- (|:| |fail| #3#) (|:| |pole| #4#)))
- (-5 *1 (-173 *5))))
+ (AND (|isDomain| *3 (|Fraction| (|Polynomial| *6)))
+ (|isDomain| *4
+ (|SegmentBinding| (|OrderedCompletion| (|Expression| *6))))
+ (|isDomain| *5 (|String|))
+ (|ofCategory| *6
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *6)))
+ (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *6))))
+ (|:| |fail| #3#) (|:| |pole| #4#)))
+ (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *6))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *4
+ (|SegmentBinding| (|OrderedCompletion| (|Fraction| (|Polynomial| *5)))))
+ (|isDomain| *3 (|Fraction| (|Polynomial| *5)))
+ (|ofCategory| *5
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *5)))
+ (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *5))))
+ (|:| |fail| #3#) (|:| |pole| #4#)))
+ (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *5))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *4 (-1005 (-751 (-349 (-858 *6))))) (-5 *5 (-1074))
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- (-5 *2
- (-3 (|:| |f1| (-751 (-264 *6))) (|:| |f2| (-584 (-751 (-264 *6))))
- (|:| |fail| #3#) (|:| |pole| #4#)))
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- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-1091)) (-4 *5 (-12 (-257) (-117) (-951 (-485)) (-581 (-485))))
- (-5 *2 (-3 *3 (-584 *3))) (-5 *1 (-372 *5 *3))
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- ((*1 *1 *1 *2)
- (-11 (-5 *2 (-1177 *4)) (-13 *4 (-1091)) (-5 *1 (-414 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-13 *5 *3)))
- ((*1 *2 *3)
- (-11 (-4 *4 (-12 (-311) (-117) (-951 (-485)))) (-4 *5 (-1156 *4))
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- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-349 (-858 *5))) (-5 *4 (-1091)) (-4 *5 (-117))
- (-4 *5 (-12 (-392) (-951 (-485)) (-581 (-485))))
- (-5 *2 (-3 (-264 *5) (-584 (-264 *5)))) (-5 *1 (-526 *5))))
+ (AND
+ (|isDomain| *4
+ (|SegmentBinding| (|OrderedCompletion| (|Fraction| (|Polynomial| *6)))))
+ (|isDomain| *5 (|String|)) (|isDomain| *3 (|Fraction| (|Polynomial| *6)))
+ (|ofCategory| *6
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|:| |f1| (|OrderedCompletion| (|Expression| *6)))
+ (|:| |f2| (|List| (|OrderedCompletion| (|Expression| *6))))
+ (|:| |fail| #3#) (|:| |pole| #4#)))
+ (|isDomain| *1 (|RationalFunctionDefiniteIntegration| *6))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Union| *3 (|List| *3)))
+ (|isDomain| *1 (|FunctionSpaceIntegration| *5 *3))
+ (|ofCategory| *3
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|PrimitiveFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *5)))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|))
+ (|isDomain| *1 (|GeneralUnivariatePowerSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3)))
+ ((*1 *2 *3)
+ (AND
+ (|ofCategory| *4
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|IntegrationResult| (|Fraction| *5)))
+ (|isDomain| *1 (|RationalIntegration| *4 *5))
+ (|isDomain| *3 (|Fraction| *5))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5)))
+ (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|CharacteristicZero|))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Union| (|Expression| *5) (|List| (|Expression| *5))))
+ (|isDomain| *1 (|IntegrationResultRFToFunction| *5))))
((*1 *1 *1)
- (-11 (-5 *1 (-531 *2)) (-4 *2 (-35 (-349 (-485)))) (-4 *2 (-962))))
+ (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2))
+ (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *2 (|Ring|))))
((*1 *1 *1 *2)
- (-11 (-4 *1 (-680 *3 *2)) (-4 *3 (-962)) (-4 *2 (-757))
- (-4 *3 (-35 (-349 (-485))))))
+ (AND (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *3 *2))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedSet|))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-1091)) (-5 *1 (-858 *3)) (-4 *3 (-35 (-349 (-485))))
- (-4 *3 (-962))))
+ (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Polynomial| *3))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|))))
((*1 *1 *1 *2 *3)
- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-4 *2 (-757))
- (-5 *1 (-1041 *3 *2 *4)) (-4 *4 (-862 *3 (-470 *2) *2))))
+ (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedSet|))
+ (|isDomain| *1 (|SparseMultivariateTaylorSeries| *3 *2 *4))
+ (|ofCategory| *4 (|PolynomialCategory| *3 (|IndexedExponents| *2) *2))))
((*1 *2 *3 *2)
- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962))
- (-5 *1 (-1076 *3))))
+ (AND (|isDomain| *2 (|Stream| *3))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-1177 *4)) (-13 *4 (-1091)) (-5 *1 (-1083 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-13 *5 *3)))
+ (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|))
+ (|isDomain| *1 (|SparseUnivariateLaurentSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3)))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-1177 *4)) (-13 *4 (-1091)) (-5 *1 (-1089 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-13 *5 *3)))
+ (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|))
+ (|isDomain| *1 (|SparseUnivariatePuiseuxSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3)))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-1177 *4)) (-13 *4 (-1091)) (-5 *1 (-1090 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-13 *5 *3)))
+ (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|))
+ (|isDomain| *1 (|SparseUnivariateTaylorSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3)))
((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-1091)) (-5 *1 (-1123 *3)) (-4 *3 (-35 (-349 (-485))))
- (-4 *3 (-962))))
+ (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|TaylorSeries| *3))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-1177 *4)) (-13 *4 (-1091)) (-5 *1 (-1140 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-13 *5 *3)))
+ (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|))
+ (|isDomain| *1 (|UnivariateLaurentSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3)))
((*1 *1 *1 *2)
(OR
- (-11 (-5 *2 (-1091)) (-4 *1 (-1142 *3)) (-4 *3 (-962))
- (-11 (-4 *3 (-26 (-485))) (-4 *3 (-872)) (-4 *3 (-1116))
- (-4 *3 (-35 (-349 (-485))))))
- (-11 (-5 *2 (-1091)) (-4 *1 (-1142 *3)) (-4 *3 (-962))
- (-11 (|has| *3 (-14 -3084 ((-584 *2) *3)))
- (|has| *3 (-14 -3815 (*3 *3 *2))) (-4 *3 (-35 (-349 (-485))))))))
+ (AND #5=(|isDomain| *2 (|Symbol|))
+ #6=(|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *3))
+ #7=(|ofCategory| *3 (|Ring|))
+ (AND (|ofCategory| *3 (|AlgebraicallyClosedFunctionSpace| (|Integer|)))
+ (|ofCategory| *3 (|PrimitiveFunctionCategory|))
+ (|ofCategory| *3 (|TranscendentalFunctionCategory|))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))))
+ (AND #5# #6# #7#
+ (AND (|has| *3 (SIGNATURE |variables| ((|List| *2) *3)))
+ (|has| *3 (SIGNATURE |integrate| (*3 *3 *2)))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))))))
((*1 *1 *1)
- (-11 (-4 *1 (-1142 *2)) (-4 *2 (-962)) (-4 *2 (-35 (-349 (-485))))))
+ (AND (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *2))
+ (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|))))))
((*1 *1 *1)
- (-11 (-4 *1 (-1156 *2)) (-4 *2 (-962)) (-4 *2 (-35 (-349 (-485))))))
+ (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2))
+ (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|))))))
((*1 *1 *1 *2)
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- (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-13 *5 *3)))
+ (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|))
+ (|isDomain| *1 (|UnivariatePuiseuxSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3)))
((*1 *1 *1 *2)
(OR
- (-11 (-5 *2 (-1091)) (-4 *1 (-1163 *3)) (-4 *3 (-962))
- (-11 (-4 *3 (-26 (-485))) (-4 *3 (-872)) (-4 *3 (-1116))
- (-4 *3 (-35 (-349 (-485))))))
- (-11 (-5 *2 (-1091)) (-4 *1 (-1163 *3)) (-4 *3 (-962))
- (-11 (|has| *3 (-14 -3084 ((-584 *2) *3)))
- (|has| *3 (-14 -3815 (*3 *3 *2))) (-4 *3 (-35 (-349 (-485))))))))
+ (AND #8=(|isDomain| *2 (|Symbol|))
+ #9=(|ofCategory| *1 (|UnivariatePuiseuxSeriesCategory| *3))
+ #10=(|ofCategory| *3 (|Ring|))
+ (AND (|ofCategory| *3 (|AlgebraicallyClosedFunctionSpace| (|Integer|)))
+ (|ofCategory| *3 (|PrimitiveFunctionCategory|))
+ (|ofCategory| *3 (|TranscendentalFunctionCategory|))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))))
+ (AND #8# #9# #10#
+ (AND (|has| *3 (SIGNATURE |variables| ((|List| *2) *3)))
+ (|has| *3 (SIGNATURE |integrate| (*3 *3 *2)))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))))))
((*1 *1 *1)
- (-11 (-4 *1 (-1163 *2)) (-4 *2 (-962)) (-4 *2 (-35 (-349 (-485))))))
+ (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesCategory| *2))
+ (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|))))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-1177 *4)) (-13 *4 (-1091)) (-5 *1 (-1170 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *3 (-962)) (-13 *5 *3)))
+ (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|))
+ (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3)))
((*1 *1 *1 *2)
(OR
- (-11 (-5 *2 (-1091)) (-4 *1 (-1173 *3)) (-4 *3 (-962))
- (-11 (-4 *3 (-26 (-485))) (-4 *3 (-872)) (-4 *3 (-1116))
- (-4 *3 (-35 (-349 (-485))))))
- (-11 (-5 *2 (-1091)) (-4 *1 (-1173 *3)) (-4 *3 (-962))
- (-11 (|has| *3 (-14 -3084 ((-584 *2) *3)))
- (|has| *3 (-14 -3815 (*3 *3 *2))) (-4 *3 (-35 (-349 (-485))))))))
+ (AND #11=(|isDomain| *2 (|Symbol|))
+ #12=(|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3))
+ #13=(|ofCategory| *3 (|Ring|))
+ (AND (|ofCategory| *3 (|AlgebraicallyClosedFunctionSpace| (|Integer|)))
+ (|ofCategory| *3 (|PrimitiveFunctionCategory|))
+ (|ofCategory| *3 (|TranscendentalFunctionCategory|))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))))
+ (AND #11# #12# #13#
+ (AND (|has| *3 (SIGNATURE |variables| ((|List| *2) *3)))
+ (|has| *3 (SIGNATURE |integrate| (*3 *3 *2)))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))))))
((*1 *1 *1)
- (-11 (-4 *1 (-1173 *2)) (-4 *2 (-962)) (-4 *2 (-35 (-349 (-485)))))))
+ (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *2))
+ (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-695)) (-5 *2 (-1149 *5 *4)) (-5 *1 (-1090 *4 *5 *6))
- (-4 *4 (-962)) (-13 *5 (-1091)) (-13 *6 *4)))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|UnivariatePolynomial| *5 *4))
+ (|isDomain| *1 (|SparseUnivariateTaylorSeries| *4 *5 *6))
+ (|ofCategory| *4 (|Ring|)) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4)))
((*1 *2 *1 *3)
- (-11 (-5 *3 (-695)) (-5 *2 (-1149 *5 *4)) (-5 *1 (-1170 *4 *5 *6))
- (-4 *4 (-962)) (-13 *5 (-1091)) (-13 *6 *4))))
-(((*1 *2 *2) (-11 (-5 *2 (-1070 *3)) (-4 *3 (-962)) (-5 *1 (-1076 *3))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|UnivariatePolynomial| *5 *4))
+ (|isDomain| *1 (|UnivariateTaylorSeries| *4 *5 *6))
+ (|ofCategory| *4 (|Ring|)) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|))
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((*1 *1 *1)
- (-11 (-5 *1 (-1170 *2 *3 *4)) (-4 *2 (-962)) (-13 *3 (-1091)) (-13 *4 *2))))
-(((*1 *2 *2) (-11 (-5 *2 (-1070 *3)) (-4 *3 (-962)) (-5 *1 (-1076 *3))))
+ (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|))
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((*1 *1 *1)
- (-11 (-5 *1 (-1170 *2 *3 *4)) (-4 *2 (-962)) (-13 *3 (-1091)) (-13 *4 *2))))
-(((*1 *2 *2) (-11 (-5 *2 (-1070 *3)) (-4 *3 (-962)) (-5 *1 (-1076 *3))))
+ (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|))
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((*1 *1 *1)
- (-11 (-5 *1 (-1170 *2 *3 *4)) (-4 *2 (-962)) (-13 *3 (-1091)) (-13 *4 *2))))
-(((*1 *2 *2) (-11 (-5 *2 (-1070 *3)) (-4 *3 (-962)) (-5 *1 (-1076 *3))))
+ (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))))
+(((*1 *2 *2)
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((*1 *1 *1)
- (-11 (-5 *1 (-1170 *2 *3 *4)) (-4 *2 (-962)) (-13 *3 (-1091)) (-13 *4 *2))))
+ (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4))
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(((*1 *2 *2 *3 *3)
- (-11 (-5 *2 (-1070 *4)) (-5 *3 (-485)) (-4 *4 (-962)) (-5 *1 (-1076 *4))))
+ (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Integer|))
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((*1 *1 *1 *2 *2)
- (-11 (-5 *2 (-485)) (-5 *1 (-1170 *3 *4 *5)) (-4 *3 (-962)) (-13 *4 (-1091))
- (-13 *5 *3))))
-(((*1 *2 *2) (-11 (-5 *2 (-1070 *3)) (-4 *3 (-962)) (-5 *1 (-1076 *3))))
+ (AND (|isDomain| *2 (|Integer|))
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+(((*1 *2 *2)
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((*1 *1 *1)
- (-11 (-5 *1 (-1170 *2 *3 *4)) (-4 *2 (-962)) (-13 *3 (-1091)) (-13 *4 *2))))
+ (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4))
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(((*1 *2 *3 *3 *2)
- (-11 (-5 *2 (-1070 *4)) (-5 *3 (-485)) (-4 *4 (-962)) (-5 *1 (-1076 *4))))
+ (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Integer|))
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((*1 *1 *2 *2 *1)
- (-11 (-5 *2 (-485)) (-5 *1 (-1170 *3 *4 *5)) (-4 *3 (-962)) (-13 *4 (-1091))
- (-13 *5 *3))))
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5))
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(((*1 *2 *3 *3 *2)
- (-11 (-5 *2 (-1070 *4)) (-5 *3 (-485)) (-4 *4 (-962)) (-5 *1 (-1076 *4))))
+ (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Integer|))
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((*1 *1 *2 *2 *1)
- (-11 (-5 *2 (-485)) (-5 *1 (-1170 *3 *4 *5)) (-4 *3 (-962)) (-13 *4 (-1091))
- (-13 *5 *3))))
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- ((*1 *2 *3)
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- (-4 *4 (-1130))))
- ((*1 *1 *2 *1) (-11 (-4 *1 (-1169 *2)) (-4 *2 (-1130))))
- ((*1 *1 *1 *1) (-11 (-4 *1 (-1169 *2)) (-4 *2 (-1130)))))
-(((*1 *2 *1)
- (-11 (-4 *1 (-539 *3 *2)) (-4 *3 (-69)) (-4 *3 (-757)) (-4 *2 (-1130))))
- ((*1 *2 *1) (-11 (-5 *1 (-619 *2)) (-4 *2 (-757))))
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- ((*1 *2 *1) (-11 (-5 *2 (-615 *3)) (-5 *1 (-804 *3)) (-4 *3 (-757))))
- ((*1 *2 *1)
- (|partial| -11 (-4 *1 (-1125 *3 *4 *5 *2)) (-4 *3 (-496)) (-4 *4 (-718))
- (-4 *5 (-757)) (-4 *2 (-978 *3 *4 *5))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-695)) (-4 *1 (-1169 *3)) (-4 *3 (-1130))))
- ((*1 *2 *1) (-11 (-4 *1 (-1169 *2)) (-4 *2 (-1130)))))
+ (AND (|isDomain| *2 (|Integer|))
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+ (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3))))
+(((*1 *1 *2)
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+ (|ofCategory| *3 (|Type|))))
+ ((*1 *1 *1 *1)
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+ ((*1 *1 *2 *1)
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+ ((*1 *1 *1 *2)
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+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Stream| (|Stream| *4))) (|isDomain| *2 (|Stream| *4))
+ (|isDomain| *1 (|StreamFunctions1| *4)) (|ofCategory| *4 (|Type|))))
+ ((*1 *1 *2 *1)
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+ (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2))
+ (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|IndexedAggregate| *3 *2))
+ (|ofCategory| *3 (|BasicType|)) (|ofCategory| *3 (|OrderedSet|))
+ (|ofCategory| *2 (|Type|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *1 (|OrderedFreeMonoid| *2))
+ (|ofCategory| *2 (|OrderedSet|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|Pair| *2 *3))
+ (|ofCategory| *3 (|Type|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|LyndonWord| *3))
+ (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *3))
+ (|ofCategory| *3 (|OrderedSet|))))
+ ((*1 *2 *1)
+ (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2))
+ (|ofCategory| *3 (|IntegralDomain|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|UnaryRecursiveAggregate| *3))
+ (|ofCategory| *3 (|Type|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2))
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(((*1 *2 *1 *3 *3 *2)
- (-11 (-5 *3 (-485)) (-4 *1 (-54 *2 *4 *5)) (-4 *2 (-1130)) (-4 *4 (-323 *2))
- (-4 *5 (-323 *2))))
+ (AND (|isDomain| *3 (|Integer|))
+ (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5))
+ (|ofCategory| *2 (|Type|))
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+ (|ofCategory| *5 (|FiniteLinearAggregate| *2))))
((*1 *2 *1 *3 *3)
- (-11 (-5 *3 (-485)) (-4 *1 (-54 *2 *4 *5)) (-4 *4 (-323 *2))
- (-4 *5 (-323 *2)) (-4 *2 (-1130))))
- ((*1 *1 *1 *2) (-11 (-5 *2 "right") (-4 *1 (-89 *3)) (-4 *3 (-1130))))
- ((*1 *1 *1 *2) (-11 (-5 *2 "left") (-4 *1 (-89 *3)) (-4 *3 (-1130))))
+ (AND (|isDomain| *3 (|Integer|))
+ (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 "right")
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+ (|ofCategory| *3 (|Type|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 "left") (|ofCategory| *1 (|BinaryRecursiveAggregate| *3))
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((*1 *2 *1 *3)
- (-11 (-5 *3 (-584 (-485))) (-4 *2 (-145)) (-5 *1 (-105 *4 *5 *2))
- (-13 *4 (-485)) (-13 *5 (-695))))
+ (AND (|isDomain| *3 (|List| (|Integer|)))
+ (|ofCategory| *2 (|CommutativeRing|))
+ (|isDomain| *1 (|CartesianTensor| *4 *5 *2)) (|ofType| *4 (|Integer|))
+ (|ofType| *5 (|NonNegativeInteger|))))
((*1 *2 *1 *3 *3 *3 *3)
- (-11 (-5 *3 (-485)) (-4 *2 (-145)) (-5 *1 (-105 *4 *5 *2)) (-13 *4 *3)
- (-13 *5 (-695))))
+ (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|CommutativeRing|))
+ (|isDomain| *1 (|CartesianTensor| *4 *5 *2)) (|ofType| *4 *3)
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((*1 *2 *1 *3 *3 *3)
- (-11 (-5 *3 (-485)) (-4 *2 (-145)) (-5 *1 (-105 *4 *5 *2)) (-13 *4 *3)
- (-13 *5 (-695))))
+ (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|CommutativeRing|))
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((*1 *2 *1 *3 *3)
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- (-4 *4
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- (-14 -1965 ((-1186) $)))))))
- ((*1 *1 *1 *2)
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- (-12 (-757)
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- ((*1 *1 *1 *2) (-11 (-5 *2 "sort") (-5 *1 (-202 *3)) (-4 *3 (-757))))
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- ((*1 *1 *2 *1) (-11 (-4 *1 (-253)) (-5 *2 (-83))))
+ (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|CommutativeRing|))
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+ (|ofType| *5 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *2 (|CommutativeRing|))
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+ (|ofType| *4 (|NonNegativeInteger|))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|DataList| (|String|)))
+ (|isDomain| *1 (|Database| *4))
+ (|ofCategory| *4
+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |elt| ((|String|) $ *3))
+ (SIGNATURE |display| ((|Void|) $))
+ (SIGNATURE |fullDisplay| ((|Void|) $)))))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|QueryEquation|)) (|isDomain| *1 (|Database| *3))
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+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |elt| ((|String|) $ (|Symbol|)))
+ (SIGNATURE |display| ((|Void|) $))
+ (SIGNATURE |fullDisplay| ((|Void|) $)))))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 "count") (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|DataList| *4)) (|ofCategory| *4 (|OrderedSet|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 "sort") (|isDomain| *1 (|DataList| *3))
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+ ((*1 *1 *1 *2)
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+ ((*1 *2 *1 *3)
+ (AND (|ofCategory| *1 (|Eltable| *3 *2)) (|ofCategory| *3 (|Type|))
+ (|ofCategory| *2 (|Type|))))
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+ (AND (|ofCategory| *1 (|EltableAggregate| *3 *2))
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+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| *1))
+ (|ofCategory| *1 (|ExpressionSpace|))))
+ ((*1 *1 *2 *1 *1 *1 *1)
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+ ((*1 *1 *2 *1 *1 *1)
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((*1 *2 *1 *2 *2)
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- (-4 *4 (-1156 (-349 *3)))))
- ((*1 *2 *1 *3) (-11 (-5 *3 (-1091)) (-5 *2 (-1074)) (-5 *1 (-442))))
+ (AND (|ofCategory| *1 (|FunctionFieldCategory| *2 *3 *4))
+ (|ofCategory| *2 (|UniqueFactorizationDomain|))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3)))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|String|))
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((*1 *1 *1 *2 *2)
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- (-4 *4 (-323 *3)) (-4 *5 (-323 *3))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-584 (-773))) (-5 *1 (-773))))
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+ (|ofCategory| *5 (|FiniteLinearAggregate| *3))))
+ ((*1 *1 *1 *2)
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((*1 *1 *2 *3)
- (-11 (-5 *2 (-83)) (-5 *3 (-584 (-801 *4))) (-5 *1 (-801 *4))
- (-4 *4 (-1014))))
+ (AND (|isDomain| *2 (|BasicOperator|))
+ (|isDomain| *3 (|List| (|Pattern| *4))) (|isDomain| *1 (|Pattern| *4))
+ (|ofCategory| *4 (|SetCategory|))))
+ ((*1 *2 *1 *3)
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+ (|isDomain| *2 (|Permutation| *4))
+ (|isDomain| *1 (|PermutationGroup| *4))
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((*1 *2 *1 *3)
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- ((*1 *2 *1 *3) (-11 (-5 *3 "value") (-4 *1 (-924 *2)) (-4 *2 (-1130))))
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- (-4 *6 (-195 *5 *2)) (-4 *7 (-195 *4 *2))))
+ (AND (|isDomain| *3 (|Integer|))
+ (|ofCategory| *1 (|RectangularMatrixCategory| *4 *5 *2 *6 *7))
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- (-11 (-5 *3 (-485)) (-4 *1 (-966 *4 *5 *2 *6 *7)) (-4 *6 (-195 *5 *2))
- (-4 *7 (-195 *4 *2)) (-4 *2 (-962))))
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- (-4 *2 (-12 (-363 *5) (-797 *4) (-554 (-801 *4))))))
+ (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|SetCategory|))
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+ (|ConvertibleTo| (|Pattern| *4))))
+ (|isDomain| *1 (|RewriteRule| *4 *5 *2))
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- ((*1 *1 *1 *1) (-4 *1 (-1059)))
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+ ((*1 *1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))
+ ((*1 *1 *1 *2)
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+ (|ofCategory| *2 (|OrderedSet|))))
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+ ((*1 *1 *1 *2)
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+ (|ofCategory| *2 (|Type|))))
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+ (|ofCategory| *2 (|Type|)))))
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+ (|ofCategory| *2 (|Type|))))
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+ (|ofCategory| *2 (|Type|))))
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- (-4 *5 (-323 *2))))
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((*1 *1 *2 *3)
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- ((*1 *2 *1) (-11 (-4 *1 (-1165 *3 *2)) (-4 *3 (-962)) (-4 *2 (-1142 *3)))))
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(((*1 *2 *1)
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-(((*1 *1 *1 *2) (-11 (-5 *2 (-695)) (-4 *1 (-1156 *3)) (-4 *3 (-962))))
+ (|partial| AND
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((*1 *1 *1 *2)
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- ((*1 *1 *1 *2) (-11 (-5 *2 (-349 (-485))) (-4 *1 (-1163 *3)) (-4 *3 (-962)))))
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(((*1 *2 *2)
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- (-5 *2
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- (-4 *4 (-12 (-1156 *3) (-496) (-10 -8 (-14 -3147 ($ $ $))))) (-4 *3 (-496))
- (-5 *1 (-1160 *3 *4)))))
+ (AND
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+ (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime"))
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(((*1 *1 *1)
- (-11 (-4 *1 (-862 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-392))))
+ (AND (|ofCategory| *1 (|PolynomialCategory| *2 *3 *4))
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((*1 *2 *3 *1)
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- ((*1 *1 *1) (-4 *1 (-1135)))
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((*1 *2 *2)
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(((*1 *2 *1)
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((*1 *2 *1)
- (-11 (-4 *1 (-450 *3 *4)) (-4 *3 (-69)) (-4 *4 (-760))
- (-5 *2 (-584 (-454 *3 *4)))))
+ (AND (|ofCategory| *1 (|IndexedDirectProductCategory| *3 *4))
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((*1 *2 *1)
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((*1 *2 *1)
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+(((*1 *2 *2 *3 *2)
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- (-4 *5 (-1156 *4)) (-4 *6 (-1156 (-349 *5))) (-4 *7 (-290 *4 *5 *6))
- (-5 *2 (-695)) (-5 *1 (-340 *4 *5 *6 *7))))
- ((*1 *2 *1) (-11 (-4 *1 (-344)) (-5 *2 (-744 (-831)))))
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- ((*1 *2 *1) (-11 (-5 *2 (-695)) (-5 *1 (-532 *3)) (-4 *3 (-962))))
- ((*1 *2 *1)
- (-11 (-4 *3 (-496)) (-5 *2 (-485)) (-5 *1 (-563 *3 *4)) (-4 *4 (-1156 *3))))
+ (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *3 (|Integer|))
+ (|isDomain| *4 (|String|)) (|isDomain| *1 (|DisplayPackage|))))
+ ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *2 *3))
+ (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|))
+ (|ofCategory| *5 (|DifferentialVariableCategory| *4))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1 *3)
+ (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *4 *3 *5 *6))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|))
+ (|ofCategory| *5 (|DifferentialVariableCategory| *3))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|DifferentialVariableCategory| *3))
+ (|ofCategory| *3 (|OrderedSet|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteFieldCategory|))
+ (|isDomain| *2 (|PositiveInteger|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|FiniteDivisor| *4 *5 *6 *7))
+ (|ofCategory| *4 (|Join| (|Finite|) (|Field|)))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5)))
+ (|ofCategory| *7 (|FunctionFieldCategory| *4 *5 *6))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|FindOrderFinite| *4 *5 *6 *7))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|))
+ (|isDomain| *2 (|OnePointCompletion| (|PositiveInteger|)))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|Integer|))))
+ ((*1 *2 *1 *2)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|LaurentPolynomial| *3 *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))
((*1 *2 *1 *3 *2)
- (-11 (-5 *2 (-695)) (-4 *1 (-680 *4 *3)) (-4 *4 (-962)) (-4 *3 (-757))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *3))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|))))
((*1 *2 *1 *3)
- (-11 (-4 *1 (-680 *4 *3)) (-4 *4 (-962)) (-4 *3 (-757)) (-5 *2 (-695))))
- ((*1 *2 *1) (-11 (-4 *1 (-780 *3)) (-5 *2 (-695))))
- ((*1 *2 *1) (-11 (-5 *2 (-695)) (-5 *1 (-814 *3)) (-4 *3 (-1014))))
- ((*1 *2 *1) (-11 (-5 *2 (-695)) (-5 *1 (-817 *3)) (-4 *3 (-1014))))
+ (AND (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *3))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|PermutationGroup| *3))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *3)
- (|partial| -11 (-5 *3 (-282 *5 *6 *7 *8)) (-4 *5 (-363 *4))
- (-4 *6 (-1156 *5)) (-4 *7 (-1156 (-349 *6))) (-4 *8 (-290 *5 *6 *7))
- (-4 *4 (-12 (-496) (-951 (-485)))) (-5 *2 (-695))
- (-5 *1 (-823 *4 *5 *6 *7 *8))))
+ (|partial| AND (|isDomain| *3 (|FiniteDivisor| *5 *6 *7 *8))
+ (|ofCategory| *5 (|FunctionSpace| *4))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6)))
+ (|ofCategory| *8 (|FunctionFieldCategory| *5 *6 *7))
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|PointsOfFiniteOrder| *4 *5 *6 *7 *8))))
((*1 *2 *3)
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- (-4 *6 (-290 (-349 (-485)) *4 *5)) (-5 *2 (-695)) (-5 *1 (-824 *4 *5 *6))))
+ (|partial| AND
+ (|isDomain| *3 (|FiniteDivisor| (|Fraction| (|Integer|)) *4 *5 *6))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))
+ (|ofCategory| *6 (|FunctionFieldCategory| (|Fraction| (|Integer|)) *4 *5))
+ (|isDomain| *2 (|NonNegativeInteger|))
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((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-282 *6 *7 *4 *8)) (-5 *5 (-1 *9 *6)) (-4 *6 (-311))
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- (-4 *9 (-12 (-319) (-311))) (-5 *2 (-695)) (-5 *1 (-932 *6 *7 *4 *8 *9))))
+ (AND (|isDomain| *3 (|FiniteDivisor| *6 *7 *4 *8))
+ (|isDomain| *5 (|Mapping| *9 *6)) (|ofCategory| *6 (|Field|))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *7)))
+ (|ofCategory| *8 (|FunctionFieldCategory| *6 *7 *4))
+ (|ofCategory| *9 (|Join| (|Finite|) (|Field|)))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|ReducedDivisor| *6 *7 *4 *8 *9))))
((*1 *2 *1 *1)
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- ((*1 *1 *1 *2) (-11 (-4 *1 (-1159 *3 *2)) (-4 *3 (-962)) (-4 *2 (-717)))))
+ (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1 *2)
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+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|))))
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+ (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))))
+(((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))
+ ((*1 *1 *1 *2 *2)
+ (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2))
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+ (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2))
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(((*1 *2 *1 *3)
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- ((*1 *2 *1 *2) (-11 (-4 *1 (-780 *3)) (-5 *2 (-485))))
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|BalancedPAdicRational| *4)) (|ofType| *4 *3)
+ (|isDomain| *3 (|Integer|))))
+ ((*1 *2 *1 *2)
+ (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3))
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((*1 *2 *1 *3)
- (-11 (-5 *2 (-349 (-485))) (-5 *1 (-781 *4)) (-13 *4 *3) (-5 *3 (-485))))
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|PAdicRational| *4)) (|ofType| *4 *3)
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- (-4 *5 (-780 *4))))
- ((*1 *2 *1 *1) (-11 (-4 *1 (-926)) (-5 *2 (-349 (-485)))))
+ (AND (|ofType| *4 *3) (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|PAdicRationalConstructor| *4 *5))
+ (|isDomain| *3 (|Integer|))
+ (|ofCategory| *5 (|PAdicIntegerCategory| *4))))
+ ((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|RealClosedField|))
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((*1 *2 *3 *1 *2)
- (-11 (-4 *1 (-981 *2 *3)) (-4 *2 (-12 (-756) (-311))) (-4 *3 (-1156 *2))))
+ (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *2 *3))
+ (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|)))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))
((*1 *2 *1 *3)
- (-11 (-4 *1 (-1159 *2 *3)) (-4 *3 (-717)) (|has| *2 (-14 ** (*2 *2 *3)))
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- ((*1 *1 *1 *2) (-11 (-5 *2 (-485)) (-4 *1 (-617 *3)) (-4 *3 (-1130))))
+ (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *2 *3))
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+ (|has| *2 (SIGNATURE ** (*2 *2 *3)))
+ (|has| *2 (SIGNATURE |coerce| (*2 (|Symbol|))))
+ (|ofCategory| *2 (|Ring|)))))
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+ (|ofCategory| *3 (|Type|))))
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((*1 *1 *1 *2)
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- ((*1 *1 *1 *2) (-11 (-4 *1 (-780 *3)) (-5 *2 (-485))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-584 *3)) (-4 *1 (-894 *3)) (-4 *3 (-962))))
+ (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3))
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+ ((*1 *1 *1 *2)
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+ (|ofCategory| *3 (|Ring|))))
((*1 *2 *3 *2)
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- (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *7 (-978 *4 *5 *6))))
+ (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| *7))
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((*1 *2 *3 *1)
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- (-4 *6 (-757)) (-5 *2 (-584 *1)) (-4 *1 (-984 *4 *5 *6 *7))))
+ (AND (|isDomain| *3 (|List| *7))
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((*1 *2 *3 *2)
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- (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))))
+ (AND (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))
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((*1 *2 *3 *1)
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- (-5 *2 (-584 *1)) (-4 *1 (-984 *4 *5 *6 *3))))
+ (AND (|ofCategory| *4 (|GcdDomain|))
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+ (|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|))
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+ (|ofCategory| *5 (|OrderedSet|))
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((*1 *1 *1 *2)
- (-11 (-4 *1 (-1125 *3 *4 *5 *2)) (-4 *3 (-496)) (-4 *4 (-718)) (-4 *5 (-757))
- (-4 *2 (-978 *3 *4 *5))))
- ((*1 *1 *1 *2) (-11 (-4 *1 (-1159 *3 *2)) (-4 *3 (-962)) (-4 *2 (-717)))))
+ (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))))
(((*1 *2 *2 *3 *3)
- (-11 (-5 *3 (-349 *5)) (-4 *4 (-1135)) (-4 *5 (-1156 *4))
- (-5 *1 (-118 *4 *5 *2)) (-4 *2 (-1156 *3))))
+ (AND (|isDomain| *3 (|Fraction| *5))
+ (|ofCategory| *4 (|UniqueFactorizationDomain|))
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+ (|isDomain| *1 (|ChangeOfVariable| *4 *5 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
((*1 *2 *3)
- (-11 (-5 *3 (-1093 (-349 (-485)))) (-5 *2 (-349 (-485))) (-5 *1 (-163))))
+ (AND (|isDomain| *3 (|SymmetricPolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *2 (|Fraction| (|Integer|)))
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((*1 *1 *1 *2)
- (-11 (-5 *2 (-584 (-248 *3))) (-4 *3 (-259 *3)) (-4 *3 (-1014))
- (-4 *3 (-1130)) (-5 *1 (-248 *3))))
+ (AND (|isDomain| *2 (|List| (|Equation| *3)))
+ (|ofCategory| *3 (|Evalable| *3)) (|ofCategory| *3 (|SetCategory|))
+ (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Equation| *3))))
((*1 *1 *1 *1)
- (-11 (-4 *2 (-259 *2)) (-4 *2 (-1014)) (-4 *2 (-1130)) (-5 *1 (-248 *2))))
- ((*1 *1 *1 *2 *3) (-11 (-5 *2 (-83)) (-5 *3 (-1 *1 *1)) (-4 *1 (-253))))
+ (AND (|ofCategory| *2 (|Evalable| *2)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|Equation| *2))))
+ ((*1 *1 *1 *2 *3)
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+ (|ofCategory| *1 (|ExpressionSpace|))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-83)) (-5 *3 (-1 *1 (-584 *1))) (-4 *1 (-253))))
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((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 (-83))) (-5 *3 (-584 (-1 *1 (-584 *1)))) (-4 *1 (-253))))
+ (AND (|isDomain| *2 (|List| (|BasicOperator|)))
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((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 (-83))) (-5 *3 (-584 (-1 *1 *1))) (-4 *1 (-253))))
- ((*1 *1 *1 *2 *3) (-11 (-5 *2 (-1091)) (-5 *3 (-1 *1 *1)) (-4 *1 (-253))))
+ (AND (|isDomain| *2 (|List| (|BasicOperator|)))
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((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-1091)) (-5 *3 (-1 *1 (-584 *1))) (-4 *1 (-253))))
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((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 (-1091))) (-5 *3 (-584 (-1 *1 (-584 *1)))) (-4 *1 (-253))))
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((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 (-1091))) (-5 *3 (-584 (-1 *1 *1))) (-4 *1 (-253))))
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+ (|ofCategory| *1 (|ExpressionSpace|))))
+ ((*1 *1 *1 *2)
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((*1 *1 *1 *2)
- (-11 (-5 *2 (-584 (-248 *3))) (-4 *1 (-259 *3)) (-4 *3 (-1014))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-248 *3)) (-4 *1 (-259 *3)) (-4 *3 (-1014))))
+ (AND (|isDomain| *2 (|Equation| *3)) (|ofCategory| *1 (|Evalable| *3))
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((*1 *2 *3 *4)
- (-11 (-5 *3 (-1 *2 (-485))) (-5 *4 (-1093 (-349 (-485)))) (-5 *1 (-260 *2))
- (-4 *2 (-35 (-349 (-485))))))
+ (AND (|isDomain| *3 (|Mapping| *2 (|Integer|)))
+ (|isDomain| *4 (|SymmetricPolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|EvaluateCycleIndicators| *2))
+ (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|))))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 *4)) (-5 *3 (-584 *1)) (-4 *1 (-325 *4 *5)) (-4 *4 (-757))
- (-4 *5 (-145))))
- ((*1 *1 *1 *2 *1) (-11 (-4 *1 (-325 *2 *3)) (-4 *2 (-757)) (-4 *3 (-145))))
+ (AND (|isDomain| *2 (|List| *4)) (|isDomain| *3 (|List| *1))
+ (|ofCategory| *1 (|FreeLieAlgebra| *4 *5))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|CommutativeRing|))))
+ ((*1 *1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|FreeLieAlgebra| *2 *3))
+ (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|CommutativeRing|))))
((*1 *1 *1 *2 *3 *4)
- (-11 (-5 *2 (-1091)) (-5 *3 (-695)) (-5 *4 (-1 *1 *1)) (-4 *1 (-363 *5))
- (-4 *5 (-1014)) (-4 *5 (-962))))
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(((*1 *1 *1 *2)
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+ ((*1 *2 *1 *3)
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((*1 *1 *1 *1)
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+ (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)
- (-11 (-4 *3 (-496)) (-4 *3 (-962))
- (-5 *2 (-2 (|:| -3958 *3) (|:| -1974 *1) (|:| -2905 *1)))
- (-4 *1 (-1156 *3)))))
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- (-11 (-4 *4 (-311)) (-4 *4 (-496)) (-4 *5 (-1156 *4))
- (-5 *2 (-2 (|:| -1767 (-563 *4 *5)) (|:| -1766 (-349 *5))))
- (-5 *1 (-563 *4 *5)) (-5 *3 (-349 *5))))
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *2
+ (|Record| (|:| |coef| *3) (|:| |quotient| *1) (|:| |remainder| *1)))
+ (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2
+ (|Record| (|:| |polyPart| (|LaurentPolynomial| *4 *5))
+ (|:| |fracPart| (|Fraction| *5))))
+ (|isDomain| *1 (|LaurentPolynomial| *4 *5))
+ (|isDomain| *3 (|Fraction| *5))))
((*1 *2 *1)
- (-11 (-5 *2 (-584 (-1080 *3 *4))) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831))
- (-4 *4 (-962))))
+ (AND (|isDomain| *2 (|List| (|SubSpace| *3 *4)))
+ (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|Ring|))))
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- (-11 (-4 *3 (-392)) (-4 *3 (-962))
- (-5 *2 (-2 (|:| |primePart| *1) (|:| |commonPart| *1))) (-4 *1 (-1156 *3)))))
+ (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *2 (|Record| (|:| |primePart| *1) (|:| |commonPart| *1)))
+ (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)))))
(((*1 *2 *2 *2 *3 *3)
- (-11 (-5 *3 (-695)) (-4 *4 (-962)) (-5 *1 (-1154 *4 *2)) (-4 *2 (-1156 *4)))))
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-(((*1 *2 *2 *2) (-11 (-4 *3 (-962)) (-5 *1 (-1154 *3 *2)) (-4 *2 (-1156 *3)))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|))
+ (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *4 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *2 *2)
+ (AND (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))))
+(((*1 *2 *2 *2)
+ (AND (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))))
(((*1 *2 *3 *3)
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- (-11 (-4 *4 (-12 (-496) (-117))) (-5 *2 (-584 *3)) (-5 *1 (-1152 *4 *3))
- (-4 *3 (-1156 *4)))))
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- (-5 *2 (-2 (|:| -3141 *3) (|:| -3140 *3))) (-5 *1 (-1152 *4 *3))
- (-4 *3 (-1156 *4)))))
+ (|partial| AND (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3)))
+ (|isDomain| *1 (|UnivariatePolynomialDivisionPackage| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|)))
+ (|isDomain| *2 (|List| *3))
+ (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3)
+ (|partial| AND
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|)))
+ (|isDomain| *2 (|Record| (|:| |left| *3) (|:| |right| *3)))
+ (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
(((*1 *2 *2 *2)
- (|partial| -11 (-4 *3 (-12 (-496) (-117))) (-5 *1 (-1152 *3 *2))
- (-4 *2 (-1156 *3)))))
+ (|partial| AND
+ (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|)))
+ (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))))
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- (|partial| -11 (-5 *3 (-695)) (-4 *4 (-12 (-496) (-117)))
- (-5 *1 (-1152 *4 *2)) (-4 *2 (-1156 *4)))))
+ (|partial| AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|)))
+ (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))))
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- (|partial| -11 (-5 *3 (-695)) (-4 *4 (-12 (-496) (-117)))
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- (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-112 *4 *5 *3))
- (-4 *3 (-323 *5))))
+ (|partial| AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|)))
+ (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *5 (|QuotientFieldCategory| *4))
+ (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *4)))
+ (|isDomain| *1 (|CommonDenominator| *4 *5 *3))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *5))))
((*1 *2 *3)
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- (-4 *6 (-323 *4)) (-4 *3 (-323 *5))))
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *5 (|QuotientFieldCategory| *4))
+ (|isDomain| *2 (|Record| (|:| |num| *6) (|:| |den| *4)))
+ (|isDomain| *1 (|InnerCommonDenominator| *4 *5 *6 *3))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *5))))
((*1 *2 *3)
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- ((*1 *2 *3 *4)
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- (-5 *1 (-729 *5 *6 *7 *3)) (-5 *4 (-584 (-349 *6))) (-4 *7 (-601 *6))
- (-4 *3 (-601 (-349 *6)))))
+ (AND (|isDomain| *3 (|Matrix| *5))
+ (|ofCategory| *5 (|QuotientFieldCategory| *4))
+ (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|Record| (|:| |num| (|Matrix| *4)) (|:| |den| *4)))
+ (|isDomain| *1 (|MatrixCommonDenominator| *4 *5))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|isDomain| *2 (|Record| (|:| |eq| *7) (|:| |rh| (|List| (|Fraction| *6)))))
+ (|isDomain| *1 (|PrimitiveRatDE| *5 *6 *7 *3))
+ (|isDomain| *4 (|List| (|Fraction| *6)))
+ (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| *6))
+ (|ofCategory| *3
+ (|LinearOrdinaryDifferentialOperatorCategory|
+ (|Fraction| *6)))))
((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-4 *5 (-905 *4))
- (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-1151 *4 *5 *3))
- (-4 *3 (-1156 *5)))))
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *5 (|QuotientFieldCategory| *4))
+ (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *4)))
+ (|isDomain| *1 (|UnivariatePolynomialCommonDenominator| *4 *5 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))))
(((*1 *2 *2)
- (-11 (-4 *3 (-496)) (-4 *4 (-905 *3)) (-5 *1 (-112 *3 *4 *2))
- (-4 *2 (-323 *4))))
+ (AND (|ofCategory| *3 (|IntegralDomain|))
+ (|ofCategory| *4 (|QuotientFieldCategory| *3))
+ (|isDomain| *1 (|CommonDenominator| *3 *4 *2))
+ (|ofCategory| *2 (|FiniteLinearAggregate| *4))))
((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-4 *5 (-905 *4)) (-4 *2 (-323 *4))
- (-5 *1 (-443 *4 *5 *2 *3)) (-4 *3 (-323 *5))))
+ (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)
- (-11 (-5 *3 (-631 *5)) (-4 *5 (-905 *4)) (-4 *4 (-496)) (-5 *2 (-631 *4))
- (-5 *1 (-634 *4 *5))))
+ (AND (|isDomain| *3 (|Matrix| *5))
+ (|ofCategory| *5 (|QuotientFieldCategory| *4))
+ (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Matrix| *4))
+ (|isDomain| *1 (|MatrixCommonDenominator| *4 *5))))
((*1 *2 *2)
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- (-4 *2 (-1156 *4)))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-905 *2)) (-4 *2 (-496)) (-5 *1 (-112 *2 *4 *3))
- (-4 *3 (-323 *4))))
+ (AND (|ofCategory| *3 (|IntegralDomain|))
+ (|ofCategory| *4 (|QuotientFieldCategory| *3))
+ (|isDomain| *1 (|UnivariatePolynomialCommonDenominator| *3 *4 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegralDomain|))
+ (|isDomain| *1 (|CommonDenominator| *2 *4 *3))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *4))))
((*1 *2 *3)
- (-11 (-4 *4 (-905 *2)) (-4 *2 (-496)) (-5 *1 (-443 *2 *4 *5 *3))
- (-4 *5 (-323 *2)) (-4 *3 (-323 *4))))
+ (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)
- (-11 (-5 *3 (-631 *4)) (-4 *4 (-905 *2)) (-4 *2 (-496))
- (-5 *1 (-634 *2 *4))))
+ (AND (|isDomain| *3 (|Matrix| *4))
+ (|ofCategory| *4 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegralDomain|))
+ (|isDomain| *1 (|MatrixCommonDenominator| *2 *4))))
((*1 *2 *3)
- (-11 (-4 *4 (-905 *2)) (-4 *2 (-496)) (-5 *1 (-1151 *2 *4 *3))
- (-4 *3 (-1156 *4)))))
-(((*1 *1 *1 *2 *3 *1) (-11 (-5 *2 (-695)) (-5 *1 (-705 *3)) (-4 *3 (-962))))
+ (AND (|ofCategory| *4 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegralDomain|))
+ (|isDomain| *1 (|UnivariatePolynomialCommonDenominator| *2 *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *1 *1 *2 *3 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3))
+ (|ofCategory| *3 (|Ring|))))
((*1 *1 *1 *2 *3 *1)
- (-11 (-5 *1 (-868 *3 *2)) (-4 *2 (-101)) (-4 *3 (-496)) (-4 *3 (-962))
- (-4 *2 (-717))))
- ((*1 *1 *1 *2 *3 *1) (-11 (-5 *2 (-695)) (-5 *1 (-1086 *3)) (-4 *3 (-962))))
+ (AND (|isDomain| *1 (|PolynomialRing| *3 *2))
+ (|ofCategory| *2 (|CancellationAbelianMonoid|))
+ (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *2 (|OrderedAbelianMonoid|))))
((*1 *1 *1 *2 *3 *1)
- (-11 (-5 *2 (-885)) (-4 *2 (-101)) (-5 *1 (-1093 *3)) (-4 *3 (-496))
- (-4 *3 (-962))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|SparseUnivariatePolynomial| *3))
+ (|ofCategory| *3 (|Ring|))))
((*1 *1 *1 *2 *3 *1)
- (-11 (-5 *2 (-695)) (-5 *1 (-1149 *4 *3)) (-13 *4 (-1091)) (-4 *3 (-962)))))
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- ((*1 *1 *2 *2) (-11 (-4 *1 (-1007 *2)) (-4 *2 (-1130))))
- ((*1 *1 *2) (-11 (-5 *1 (-1147 *2)) (-4 *2 (-1130)))))
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- (-2 (|:| |contp| (-485))
- (|:| -1784 (-584 (-2 (|:| |irr| *3) (|:| -2397 (-485)))))))
- (-5 *1 (-382 *3)) (-4 *3 (-1156 (-485)))))
- ((*1 *2 *3 *4)
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- (-2 (|:| |contp| (-485))
- (|:| -1784 (-584 (-2 (|:| |irr| *3) (|:| -2397 (-485)))))))
- (-5 *1 (-1146 *3)) (-4 *3 (-1156 (-485))))))
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- (-11 (-4 *4 (-298)) (-5 *2 (-347 *3)) (-5 *1 (-169 *4 *3))
- (-4 *3 (-1156 *4))))
- ((*1 *2 *3) (-11 (-5 *2 (-347 *3)) (-5 *1 (-382 *3)) (-4 *3 (-1156 (-485)))))
- ((*1 *2 *3 *4)
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- (-4 *3 (-1156 (-485)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-584 (-695))) (-5 *2 (-347 *3)) (-5 *1 (-382 *3))
- (-4 *3 (-1156 (-485)))))
+ (AND (|isDomain| *2 (|Partition|))
+ (|ofCategory| *2 (|CancellationAbelianMonoid|))
+ (|isDomain| *1 (|SymmetricPolynomial| *3))
+ (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))
+ ((*1 *1 *1 *2 *3 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|UnivariatePolynomial| *4 *3)) (|ofType| *4 (|Symbol|))
+ (|ofCategory| *3 (|Ring|)))))
+(((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *1 *2 *2)
+ (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *1 (|UniversalSegment| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *2 (|SegmentCategory| *3))
+ (|isDomain| *1 (|RangeBinding| *2 *3)) (|ofCategory| *3 (|Type|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Segment| *3)) (|isDomain| *1 (|SegmentBinding| *3))
+ (|ofCategory| *3 (|Type|))))
+ ((*1 *1 *2 *2)
+ (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *1 (|UniversalSegment| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UniversalSegment| *3))
+ (|ofCategory| *3 (|Type|)))))
+(((*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 (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|DistinctDegreeFactorize| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|GaloisGroupFactorizer| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|GaloisGroupFactorizer| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|List| (|NonNegativeInteger|)))
+ (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|GaloisGroupFactorizer| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *4 (-584 (-695))) (-5 *5 (-695)) (-5 *2 (-347 *3)) (-5 *1 (-382 *3))
- (-4 *3 (-1156 (-485)))))
+ (AND (|isDomain| *4 (|List| (|NonNegativeInteger|)))
+ (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|GaloisGroupFactorizer| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))
((*1 *2 *3 *4 *4)
- (-11 (-5 *4 (-695)) (-5 *2 (-347 *3)) (-5 *1 (-382 *3))
- (-4 *3 (-1156 (-485)))))
+ (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|GaloisGroupFactorizer| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|RationalFactorize| *3))
+ (|ofCategory| *3
+ (|UnivariatePolynomialCategory|
+ (|Fraction| (|Integer|))))))
((*1 *2 *3)
- (-11 (-5 *2 (-347 *3)) (-5 *1 (-921 *3)) (-4 *3 (-1156 (-349 (-485))))))
- ((*1 *2 *3) (-11 (-5 *2 (-347 *3)) (-5 *1 (-1146 *3)) (-4 *3 (-1156 (-485))))))
+ (AND (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|UnivariateFactorize| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))))
(((*1 *2 *3 *4)
- (-11 (-5 *4 (-584 (-45))) (-5 *2 (-347 *3)) (-5 *1 (-36 *3))
- (-4 *3 (-1156 (-45)))))
- ((*1 *2 *3) (-11 (-5 *2 (-347 *3)) (-5 *1 (-36 *3)) (-4 *3 (-1156 (-45)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-584 (-45))) (-4 *5 (-757)) (-4 *6 (-718)) (-5 *2 (-347 *3))
- (-5 *1 (-39 *5 *6 *3)) (-4 *3 (-862 (-45) *6 *5))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-584 (-45))) (-4 *5 (-757)) (-4 *6 (-718))
- (-4 *7 (-862 (-45) *6 *5)) (-5 *2 (-347 (-1086 *7))) (-5 *1 (-39 *5 *6 *7))
- (-5 *3 (-1086 *7))))
+ (AND (|isDomain| *4 (|List| (|AlgebraicNumber|)))
+ (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|AlgFactor| *3))
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- (-11 (-5 *4 (-584 (-695))) (-5 *2 (-347 *3)) (-5 *1 (-382 *3))
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+ (|isDomain| *3 (|Complex| (|Integer|)))))
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+ (AND
+ (|ofCategory| *4
+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |convert| ((|Symbol|) $))
+ (SIGNATURE |variable|
+ ((|Union| $ "failed") (|Symbol|))))))
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+ (|ofCategory| *3 (|PolynomialCategory| *7 *5 *4))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|EuclideanDomain|))
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+ (|isDomain| *1 (|GenUFactorize| *4))
+ (|isDomain| *3 (|SparseUnivariatePolynomial| *4))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Mapping| (|Factored| *6) *6))
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+ (|ofCategory| *5 (|Field|))
+ (|ofCategory| *7
+ (|Join| (|Field|) (|CharacteristicZero|)
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+ (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|InnerAlgFactor| *5 *6 *7 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *7))))
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+ (AND
+ (|isDomain| *4
+ (|Mapping| (|Factored| (|SparseUnivariatePolynomial| *7))
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+ (|ofCategory| *5 (|OrderedSet|))
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+ (AND
+ (|isDomain| *4
+ (|Mapping| (|Factored| (|SparseUnivariatePolynomial| *7))
+ (|SparseUnivariatePolynomial| *7)))
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+ (|ofCategory| *5 (|OrderedSet|))
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+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|IntegerFactorizationPackage| *3))
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+ (AND (|isDomain| *4 (|Mapping| (|List| *5) *6))
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+ (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6)))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|AlgebraicallyClosedField|))
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+ (|Join| (|Field|) (|CharacteristicZero|)
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+ (|isDomain| *2
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+ (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5)))))
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+ (AND (|isDomain| *3 (|OrderedFreeMonoid| *4))
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+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedSet|))
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+ (|isDomain| *1 (|MultFiniteFactorize| *4 *5 *6 *3))
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+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedSet|))
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+ (|isDomain| *1 (|MultFiniteFactorize| *4 *5 *6 *7))
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+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5
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+ (CATEGORY |domain|
+ (SIGNATURE |convert| ((|Symbol|) $))
+ (SIGNATURE |variable|
+ ((|Union| $ "failed") (|Symbol|))))))
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+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5
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+ (CATEGORY |domain|
+ (SIGNATURE |convert| ((|Symbol|) $)))))
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+ *5))))
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+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
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+ (AND (|ofCategory| *4 (|OrderedSet|))
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+ (AND (|ofCategory| *4 (|OrderedSet|))
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+ (AND (|isDomain| *2 (|Factored| *3))
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+ (|Fraction| (|Polynomial| (|Integer|)))))))
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+ ((*1 *2 *3)
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+ (|ofCategory| *4
+ (|UnivariatePolynomialCategory|
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+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
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+ (AND (|isDomain| *1 (|BalancedPAdicRational| *2)) (|ofType| *2 (|Integer|))))
((*1 *1 *2 *1)
- (-11 (-5 *2 (-485)) (-13 *3 *2) (-5 *1 (-782 *3 *4)) (-4 *4 (-780 *3))))
- ((*1 *1 *1) (-11 (-13 *2 (-485)) (-5 *1 (-782 *2 *3)) (-4 *3 (-780 *2))))
+ (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)
- (-11 (-5 *2 (-485)) (-4 *1 (-1144 *3 *4)) (-4 *3 (-962)) (-4 *4 (-1173 *3))))
- ((*1 *1 *1) (-11 (-4 *1 (-1144 *2 *3)) (-4 *2 (-962)) (-4 *3 (-1173 *2)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1091)) (-4 *4 (-12 (-392) (-951 (-485)) (-581 (-485))))
- (-5 *2 (-48)) (-5 *1 (-266 *4 *5)) (-4 *5 (-12 (-24) (-1116) (-363 *4)))))
+ (AND (|isDomain| *2 (|Integer|)) (|ofType| *3 *2)
+ (|isDomain| *1 (|PAdicRationalConstructor| *3 *4))
+ (|ofCategory| *4 (|PAdicIntegerCategory| *3))))
+ ((*1 *1 *1)
+ (AND (|ofType| *2 (|Integer|))
+ (|isDomain| *1 (|PAdicRationalConstructor| *2 *3))
+ (|ofCategory| *3 (|PAdicIntegerCategory| *2))))
+ ((*1 *1 *2 *1)
+ (AND (|isDomain| *2 (|Integer|))
+ (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *4))
+ (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3))))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *2 *3))
+ (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|UnivariateTaylorSeriesCategory| *2)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Symbol|))
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *5))
+ (|ofCategory| *5
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *4)))))
((*1 *2 *3)
- (-11 (-4 *4 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-48))
- (-5 *1 (-266 *4 *3)) (-4 *3 (-12 (-24) (-1116) (-363 *4)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-695)) (-4 *5 (-12 (-392) (-951 (-485)) (-581 (-485))))
- (-5 *2 (-48)) (-5 *1 (-266 *5 *3)) (-4 *3 (-12 (-24) (-1116) (-363 *5)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-248 *3)) (-4 *3 (-12 (-24) (-1116) (-363 *5)))
- (-4 *5 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-48))
- (-5 *1 (-266 *5 *3))))
+ (AND
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *4 *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *4)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|NonNegativeInteger|))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Equation| *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *5 *3))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *4 (-248 *3)) (-5 *5 (-695)) (-4 *3 (-12 (-24) (-1116) (-363 *6)))
- (-4 *6 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-48))
- (-5 *1 (-266 *6 *3))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-1 *6 (-485))) (-5 *4 (-248 *6))
- (-4 *6 (-12 (-24) (-1116) (-363 *5)))
- (-4 *5 (-12 (-496) (-951 (-485)) (-581 (-485)))) (-5 *2 (-48))
- (-5 *1 (-399 *5 *6))))
+ (AND (|isDomain| *4 (|Equation| *3)) (|isDomain| *5 (|NonNegativeInteger|))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|ExpressionToUnivariatePowerSeries| *6 *3))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Mapping| *6 (|Integer|)))
+ (|isDomain| *4 (|Equation| *6))
+ (|ofCategory| *6
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5)))
+ (|ofCategory| *5
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|GenerateUnivariatePowerSeries| *5 *6))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *4 (-1091)) (-5 *5 (-248 *3)) (-4 *3 (-12 (-24) (-1116) (-363 *6)))
- (-4 *6 (-12 (-496) (-951 (-485)) (-581 (-485)))) (-5 *2 (-48))
- (-5 *1 (-399 *6 *3))))
+ (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|GenerateUnivariatePowerSeries| *6 *3))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-1 *7 (-485))) (-5 *4 (-248 *7)) (-5 *5 (-1147 (-695)))
- (-4 *7 (-12 (-24) (-1116) (-363 *6)))
- (-4 *6 (-12 (-496) (-951 (-485)) (-581 (-485)))) (-5 *2 (-48))
- (-5 *1 (-399 *6 *7))))
+ (AND (|isDomain| *3 (|Mapping| *7 (|Integer|)))
+ (|isDomain| *4 (|Equation| *7))
+ (|isDomain| *5 (|UniversalSegment| (|NonNegativeInteger|)))
+ (|ofCategory| *7
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|GenerateUnivariatePowerSeries| *6 *7))))
((*1 *2 *3 *4 *5 *6)
- (-11 (-5 *4 (-1091)) (-5 *5 (-248 *3)) (-5 *6 (-1147 (-695)))
- (-4 *3 (-12 (-24) (-1116) (-363 *7)))
- (-4 *7 (-12 (-496) (-951 (-485)) (-581 (-485)))) (-5 *2 (-48))
- (-5 *1 (-399 *7 *3))))
- ((*1 *2 *1) (-11 (-4 *1 (-1144 *3 *2)) (-4 *3 (-962)) (-4 *2 (-1173 *3)))))
+ (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Equation| *3))
+ (|isDomain| *6 (|UniversalSegment| (|NonNegativeInteger|)))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *7)))
+ (|ofCategory| *7
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Any|))
+ (|isDomain| *1 (|GenerateUnivariatePowerSeries| *7 *3))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2))
+ (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))))
(((*1 *2 *1)
- (|partial| -11 (-4 *1 (-1144 *3 *2)) (-4 *3 (-962)) (-4 *2 (-1173 *3)))))
+ (|partial| AND
+ (|ofCategory| *1 (|UnivariateLaurentSeriesConstructorCategory| *3 *2))
+ (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3)))))
(((*1 *2 *1 *3 *3)
- (-11 (-5 *3 (-485)) (-4 *1 (-1142 *4)) (-4 *4 (-962)) (-4 *4 (-496))
- (-5 *2 (-349 (-858 *4)))))
- ((*1 *2 *1 *3)
- (-11 (-5 *3 (-485)) (-4 *1 (-1142 *4)) (-4 *4 (-962)) (-4 *4 (-496))
- (-5 *2 (-349 (-858 *4))))))
-(((*1 *1 *1 *1) (-5 *1 (-98)))
- ((*1 *1 *1 *1) (-11 (-5 *1 (-1098 *2)) (-13 *2 (-831))))
- ((*1 *1 *1 *1) (-5 *1 (-1136))) ((*1 *1 *1 *1) (-5 *1 (-1137)))
- ((*1 *1 *1 *1) (-5 *1 (-1138))) ((*1 *1 *1 *1) (-5 *1 (-1139))))
-(((*1 *1 *1 *1) (-5 *1 (-98)))
- ((*1 *1 *1 *1) (-11 (-5 *1 (-1098 *2)) (-13 *2 (-831))))
- ((*1 *1 *1 *1) (-5 *1 (-1136))) ((*1 *1 *1 *1) (-5 *1 (-1137)))
- ((*1 *1 *1 *1) (-5 *1 (-1138))) ((*1 *1 *1 *1) (-5 *1 (-1139))))
-(((*1 *1) (-4 *1 (-20))) ((*1 *1) (-4 *1 (-31))) ((*1 *1) (-5 *1 (-98)))
+ (AND (|isDomain| *3 (|Integer|))
+ (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *4))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|Fraction| (|Polynomial| *4)))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Integer|))
+ (|ofCategory| *1 (|UnivariateLaurentSeriesCategory| *4))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|Fraction| (|Polynomial| *4))))))
+(((*1 *1 *1 *1) (|isDomain| *1 (|Byte|)))
+ ((*1 *1 *1 *1)
+ (AND (|isDomain| *1 (|SystemNonNegativeInteger| *2))
+ (|ofType| *2 (|PositiveInteger|))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt16|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt32|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt64|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt8|))))
+(((*1 *1 *1 *1) (|isDomain| *1 (|Byte|)))
+ ((*1 *1 *1 *1)
+ (AND (|isDomain| *1 (|SystemNonNegativeInteger| *2))
+ (|ofType| *2 (|PositiveInteger|))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt16|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt32|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt64|)))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|UInt8|))))
+(((*1 *1) (|ofCategory| *1 (|AbelianMonoid|)))
+ ((*1 *1) (|ofCategory| *1 (|Aggregate|))) ((*1 *1) (|isDomain| *1 (|Byte|)))
+ ((*1 *1)
+ (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|))
+ (|ofType| *3 (|NonNegativeInteger|))
+ (|ofCategory| *4 (|CommutativeRing|))))
+ ((*1 *1) (|isDomain| *1 (|Int16|))) ((*1 *1) (|isDomain| *1 (|Int32|)))
+ ((*1 *1) (|isDomain| *1 (|Int64|))) ((*1 *1) (|isDomain| *1 (|Int8|)))
+ ((*1 *1) (|ofCategory| *1 (|Monoid|))) ((*1 *1) (|isDomain| *1 (|Symbol|)))
+ ((*1 *1)
+ (AND (|isDomain| *1 (|SystemInteger| *2)) (|ofType| *2 (|PositiveInteger|))))
((*1 *1)
- (-11 (-5 *1 (-105 *2 *3 *4)) (-13 *2 (-485)) (-13 *3 (-695)) (-4 *4 (-145))))
- ((*1 *1) (-5 *1 (-486))) ((*1 *1) (-5 *1 (-487))) ((*1 *1) (-5 *1 (-488)))
- ((*1 *1) (-5 *1 (-489))) ((*1 *1) (-4 *1 (-664))) ((*1 *1) (-5 *1 (-1091)))
- ((*1 *1) (-11 (-5 *1 (-1097 *2)) (-13 *2 (-831))))
- ((*1 *1) (-11 (-5 *1 (-1098 *2)) (-13 *2 (-831)))) ((*1 *1) (-5 *1 (-1136)))
- ((*1 *1) (-5 *1 (-1137))) ((*1 *1) (-5 *1 (-1138))) ((*1 *1) (-5 *1 (-1139))))
-(((*1 *2 *3) (-11 (-5 *3 (-141 (-485))) (-5 *2 (-82)) (-5 *1 (-386))))
- ((*1 *2 *3)
- (-11
- (-5 *3
- (-444 (-349 (-485)) (-196 *5 (-695)) (-774 *4) (-205 *4 (-349 (-485)))))
- (-13 *4 (-584 (-1091))) (-13 *5 (-695)) (-5 *2 (-82)) (-5 *1 (-445 *4 *5))))
- ((*1 *2 *3) (-11 (-5 *2 (-82)) (-5 *1 (-874 *3)) (-4 *3 (-484))))
- ((*1 *2 *1) (-11 (-4 *1 (-1135)) (-5 *2 (-82)))))
-(((*1 *2) (-11 (-5 *2 (-1186)) (-5 *1 (-1133)))))
+ (AND (|isDomain| *1 (|SystemNonNegativeInteger| *2))
+ (|ofType| *2 (|PositiveInteger|))))
+ ((*1 *1) (|isDomain| *1 (|UInt16|))) ((*1 *1) (|isDomain| *1 (|UInt32|)))
+ ((*1 *1) (|isDomain| *1 (|UInt64|))) ((*1 *1) (|isDomain| *1 (|UInt8|))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Complex| (|Integer|))) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|GaussianFactorizationPackage|))))
+ ((*1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|PolynomialIdeals| (|Fraction| (|Integer|))
+ (|DirectProduct| *5 (|NonNegativeInteger|))
+ (|OrderedVariableList| *4)
+ (|DistributedMultivariatePolynomial| *4
+ (|Fraction|
+ (|Integer|)))))
+ (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|IdealDecompositionPackage| *4 *5))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerPrimesPackage| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|UniqueFactorizationDomain|))
+ (|isDomain| *2 (|Boolean|)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|UserDefinedVariableOrdering|)))))
(((*1 *2)
- (-11 (-5 *2 (-2 (|:| -3231 (-584 (-1091))) (|:| -3232 (-584 (-1091)))))
- (-5 *1 (-1133)))))
-(((*1 *2 *3) (-11 (-5 *3 (-584 (-1091))) (-5 *2 (-1186)) (-5 *1 (-1133))))
- ((*1 *2 *3 *3) (-11 (-5 *3 (-584 (-1091))) (-5 *2 (-1186)) (-5 *1 (-1133)))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |high| (|List| (|Symbol|)))
+ (|:| |low| (|List| (|Symbol|)))))
+ (|isDomain| *1 (|UserDefinedVariableOrdering|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|UserDefinedVariableOrdering|))))
+ ((*1 *2 *3 *3)
+ (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|UserDefinedVariableOrdering|)))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-695)) (-4 *1 (-1065 *4)) (-4 *4 (-1130)) (-5 *2 (-82))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|StreamAggregate| *4)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *2 (|Boolean|))))
((*1 *2 *3 *3)
- (-11 (-5 *2 (-82)) (-5 *1 (-1132 *3)) (-4 *3 (-757)) (-4 *3 (-1014)))))
+ (AND (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *3))
+ (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|SetCategory|)))))
(((*1 *2 *3 *4)
- (-11 (-5 *3 (-584 *2)) (-5 *4 (-1 (-82) *2 *2)) (-5 *1 (-1132 *2))
- (-4 *2 (-1014))))
+ (AND (|isDomain| *3 (|List| *2))
+ (|isDomain| *4 (|Mapping| (|Boolean|) *2 *2))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *2))
+ (|ofCategory| *2 (|SetCategory|))))
((*1 *2 *3)
- (-11 (-5 *3 (-584 *2)) (-4 *2 (-1014)) (-4 *2 (-757)) (-5 *1 (-1132 *2)))))
-(((*1 *2) (-11 (-5 *2 (-82)) (-5 *1 (-1132 *3)) (-4 *3 (-1014)))))
+ (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *2 (|OrderedSet|))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *2)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-695)) (-4 *1 (-1065 *4)) (-4 *4 (-1130)) (-5 *2 (-82))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|StreamAggregate| *4)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *2 (|Boolean|))))
((*1 *2 *3 *3)
- (|partial| -11 (-5 *2 (-82)) (-5 *1 (-1132 *3)) (-4 *3 (-1014))))
+ (|partial| AND (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *3))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *3 *3 *4)
- (-11 (-5 *4 (-1 (-82) *3 *3)) (-4 *3 (-1014)) (-5 *2 (-82))
- (-5 *1 (-1132 *3)))))
+ (AND (|isDomain| *4 (|Mapping| (|Boolean|) *3 *3))
+ (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *3)))))
(((*1 *2)
- (-11 (-5 *2 (-2 (|:| -3232 (-584 *3)) (|:| -3231 (-584 *3))))
- (-5 *1 (-1132 *3)) (-4 *3 (-1014)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-584 *4)) (-4 *4 (-1014)) (-5 *2 (-1186)) (-5 *1 (-1132 *4))))
+ (AND
+ (|isDomain| *2 (|Record| (|:| |low| (|List| *3)) (|:| |high| (|List| *3))))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *4))))
((*1 *2 *3 *3)
- (-11 (-5 *3 (-584 *4)) (-4 *4 (-1014)) (-5 *2 (-1186)) (-5 *1 (-1132 *4)))))
+ (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|UserDefinedPartialOrdering| *4)))))
(((*1 *2 *3 *4)
- (-11 (-5 *4 (-485)) (-4 *5 (-298)) (-5 *2 (-347 (-1086 (-1086 *5))))
- (-5 *1 (-1129 *5)) (-5 *3 (-1086 (-1086 *5))))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-298)) (-5 *2 (-347 (-1086 (-1086 *4)))) (-5 *1 (-1129 *4))
- (-5 *3 (-1086 (-1086 *4))))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-298)) (-5 *2 (-347 (-1086 (-1086 *4)))) (-5 *1 (-1129 *4))
- (-5 *3 (-1086 (-1086 *4))))))
+ (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|FiniteFieldCategory|))
+ (|isDomain| *2
+ (|Factored|
+ (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *5))))
+ (|isDomain| *1 (|TwoFactorize| *5))
+ (|isDomain| *3
+ (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *5))))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *2
+ (|Factored|
+ (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))))
+ (|isDomain| *1 (|TwoFactorize| *4))
+ (|isDomain| *3
+ (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *2
+ (|Factored|
+ (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))))
+ (|isDomain| *1 (|TwoFactorize| *4))
+ (|isDomain| *3
+ (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4))))))
(((*1 *1 *2 *1)
- (-11 (-5 *2 (-1 (-82) *3)) (-4 *1 (-317 *3)) (-4 *1 (-121 *3))
- (-4 *3 (-1130))))
- ((*1 *1 *2 *1) (-11 (-5 *2 (-1 (-82) *3)) (-4 *3 (-1130)) (-5 *1 (-537 *3))))
- ((*1 *1 *2 *1) (-11 (-5 *2 (-1 (-82) *3)) (-4 *1 (-617 *3)) (-4 *3 (-1130))))
- ((*1 *2 *1 *3)
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(((*1 *1 *1 *1)
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(((*1 *1 *1 *1)
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- (-5 *1 (-568 *5 *6))))
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+ (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| *10))
+ (|isDomain| *1 (|LazardSetSolvingPackage| *5 *6 *7 *8 *9 *10))
+ (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8))
+ (|ofCategory| *10
+ (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3
+ (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6))))
+ (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|))
+ (|ofType| *6 (|List| (|Symbol|)))
+ (|isDomain| *2 (|List| (|RegularChain| *5 *6)))
+ (|isDomain| *1 (|LexTriangularPackage| *5 *6))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3
+ (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6))))
+ (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|))
+ (|ofType| *6 (|List| (|Symbol|)))
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+ (|OrderedVariableList| *6))
+ (|OrderedVariableList| *6)
+ (|NewSparseMultivariatePolynomial| *5
+ (|OrderedVariableList|
+ *6)))))
+ (|isDomain| *1 (|LexTriangularPackage| *5 *6))))
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- (-4 *6 (-718)) (-4 *7 (-757)) (-5 *2 (-584 (-941 *5 *6 *7 *8)))
- (-5 *1 (-941 *5 *6 *7 *8))))
+ (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|))
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((*1 *2 *3 *4 *4)
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- (-4 *6 (-718)) (-4 *7 (-757)) (-5 *2 (-584 (-941 *5 *6 *7 *8)))
- (-5 *1 (-941 *5 *6 *7 *8))))
+ (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7))
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+ (|ofCategory| *7 (|OrderedSet|))
+ (|isDomain| *2 (|List| (|RegularTriangularSet| *5 *6 *7 *8)))
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((*1 *2 *3 *4 *4)
- (-11 (-5 *3 (-584 (-704 *5 (-774 *6)))) (-5 *4 (-82)) (-4 *5 (-392))
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- (-4 *6 (-718)) (-4 *7 (-757)) (-5 *2 (-584 *1)) (-4 *1 (-984 *5 *6 *7 *8))))
+ (AND
+ (|isDomain| *3
+ (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6))))
+ (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|))
+ (|ofType| *6 (|List| (|Symbol|)))
+ (|isDomain| *2 (|List| (|RegularChain| *5 *6)))
+ (|isDomain| *1 (|RegularChain| *5 *6))))
+ ((*1 *2 *3 *4)
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+ (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7))
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((*1 *2 *3 *4 *4 *4 *4)
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- (-4 *6 (-718)) (-4 *7 (-757)) (-5 *2 (-584 (-1061 *5 *6 *7 *8)))
- (-5 *1 (-1061 *5 *6 *7 *8))))
+ (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|))
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((*1 *2 *3 *4 *4)
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- (-4 *6 (-718)) (-4 *7 (-757)) (-5 *2 (-584 (-1061 *5 *6 *7 *8)))
- (-5 *1 (-1061 *5 *6 *7 *8))))
+ (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|Boolean|))
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+ (|ofCategory| *5 (|GcdDomain|))
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((*1 *2 *3)
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- (-5 *2 (-584 (-2 (|:| -3865 *1) (|:| -1703 (-584 *7))))) (-5 *3 (-584 *7))
- (-4 *1 (-1125 *4 *5 *6 *7)))))
+ (AND (|isDomain| *3 (|List| *7))
+ (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *7)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2
+ (|List| (|Record| (|:| |close| *1) (|:| |open| (|List| *7)))))
+ (|isDomain| *3 (|List| *7))
+ (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *7)))))
(((*1 *2 *1)
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- (-4 *6 (-978 *3 *4 *5)) (-5 *2 (-584 *5)))))
+ (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6))
+ (|ofCategory| *3 (|IntegralDomain|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|isDomain| *2 (|List| *5)))))
(((*1 *1 *1 *2)
- (|partial| -11 (-4 *1 (-1125 *3 *4 *5 *2)) (-4 *3 (-496)) (-4 *4 (-718))
- (-4 *5 (-757)) (-4 *2 (-978 *3 *4 *5)))))
+ (|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 *2 *1)
- (-11 (-4 *1 (-1125 *3 *4 *5 *6)) (-4 *3 (-496)) (-4 *4 (-718)) (-4 *5 (-757))
- (-4 *6 (-978 *3 *4 *5)) (-4 *5 (-319)) (-5 *2 (-695)))))
-(((*1 *2 *1 *3) (-11 (-4 *1 (-44 *2 *3)) (-4 *3 (-717)) (-4 *2 (-962))))
+ (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6))
+ (|ofCategory| *3 (|IntegralDomain|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *5 (|Finite|)) (|isDomain| *2 (|NonNegativeInteger|)))))
+(((*1 *2 *1 *3)
+ (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3))
+ (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|))))
((*1 *2 *1 *1)
- (-11 (-4 *2 (-962)) (-5 *1 (-47 *2 *3)) (-13 *3 (-584 (-1091)))))
+ (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|AntiSymm| *2 *3))
+ (|ofType| *3 (|List| (|Symbol|)))))
((*1 *2 *1 *3)
- (-11 (-5 *3 (-584 (-831))) (-4 *2 (-311)) (-5 *1 (-122 *4 *2 *5))
- (-13 *4 (-831)) (-13 *5 (-907 *4 *2))))
+ (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|ofCategory| *2 (|Field|))
+ (|isDomain| *1 (|CliffordAlgebra| *4 *2 *5))
+ (|ofType| *4 (|PositiveInteger|))
+ (|ofType| *5 (|QuadraticForm| *4 *2))))
((*1 *2 *1 *1)
- (-11 (-5 *2 (-264 *3)) (-5 *1 (-176 *3 *4)) (-4 *3 (-12 (-962) (-757)))
- (-13 *4 (-584 (-1091)))))
- ((*1 *2 *3 *1) (-11 (-4 *1 (-273 *3 *2)) (-4 *3 (-1014)) (-4 *2 (-101))))
- ((*1 *2 *1 *3) (-11 (-4 *1 (-334 *2 *3)) (-4 *3 (-1014)) (-4 *2 (-962))))
- ((*1 *2 *1) (-11 (-4 *2 (-69)) (-5 *1 (-454 *2 *3)) (-4 *3 (-760))))
- ((*1 *2 *1 *3)
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- ((*1 *2 *1 *3) (-11 (-5 *3 (-695)) (-4 *1 (-646 *2)) (-4 *2 (-962))))
- ((*1 *2 *1 *3) (-11 (-4 *2 (-962)) (-5 *1 (-675 *2 *3)) (-4 *3 (-664))))
+ (AND (|isDomain| *2 (|Expression| *3))
+ (|isDomain| *1 (|DeRhamComplex| *3 *4))
+ (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|)))
+ (|ofType| *4 (|List| (|Symbol|)))))
+ ((*1 *2 *3 *1)
+ (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *2))
+ (|ofCategory| *3 (|SetCategory|))
+ (|ofCategory| *2 (|CancellationAbelianMonoid|))))
+ ((*1 *2 *1 *3)
+ (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Ring|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *2 (|BasicType|))
+ (|isDomain| *1 (|IndexedProductTerm| *2 *3))
+ (|ofCategory| *3 (|OrderedType|))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|IntegralDomain|))
+ (|isDomain| *1 (|LaurentPolynomial| *2 *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *2))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|MonogenicLinearOperator| *2))
+ (|ofCategory| *2 (|Ring|))))
+ ((*1 *2 *1 *3)
+ (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|MonoidRing| *2 *3))
+ (|ofCategory| *3 (|Monoid|))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 *5)) (-5 *3 (-584 (-695))) (-4 *1 (-680 *4 *5))
- (-4 *4 (-962)) (-4 *5 (-757))))
+ (AND (|isDomain| *2 (|List| *5))
+ (|isDomain| *3 (|List| (|NonNegativeInteger|)))
+ (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *5))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *3 (-695)) (-4 *1 (-680 *4 *2)) (-4 *4 (-962)) (-4 *2 (-757))))
- ((*1 *2 *1 *3) (-11 (-5 *3 (-695)) (-4 *1 (-762 *2)) (-4 *2 (-962))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *2))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|OrderedSet|))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2))
+ (|ofCategory| *2 (|Ring|))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 *6)) (-5 *3 (-584 (-695))) (-4 *1 (-862 *4 *5 *6))
- (-4 *4 (-962)) (-4 *5 (-718)) (-4 *6 (-757))))
+ (AND (|isDomain| *2 (|List| *6))
+ (|isDomain| *3 (|List| (|NonNegativeInteger|)))
+ (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *3 (-695)) (-4 *1 (-862 *4 *5 *2)) (-4 *4 (-962)) (-4 *5 (-718))
- (-4 *2 (-757))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|PolynomialCategory| *4 *5 *2))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *2 (|OrderedSet|))))
((*1 *2 *1 *3)
- (-11 (-5 *3 (-695)) (-4 *2 (-862 *4 (-470 *5) *5)) (-5 *1 (-1041 *4 *5 *2))
- (-4 *4 (-962)) (-4 *5 (-757))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *2 (|PolynomialCategory| *4 (|IndexedExponents| *5) *5))
+ (|isDomain| *1 (|SparseMultivariateTaylorSeries| *4 *5 *2))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|))))
((*1 *2 *1 *3)
- (-11 (-5 *3 (-695)) (-5 *2 (-858 *4)) (-5 *1 (-1123 *4)) (-4 *4 (-962)))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Polynomial| *4))
+ (|isDomain| *1 (|TaylorSeries| *4)) (|ofCategory| *4 (|Ring|)))))
(((*1 *1 *2 *3 *4)
- (-11 (-5 *2 (-1 (-1041 *4 *3 *5))) (-4 *4 (-35 (-349 (-485)))) (-4 *4 (-962))
- (-4 *3 (-757)) (-5 *1 (-1041 *4 *3 *5)) (-4 *5 (-862 *4 (-470 *3) *3))))
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- (-11 (-5 *2 (-1 (-1123 *4))) (-5 *3 (-1091)) (-5 *1 (-1123 *4))
- (-4 *4 (-35 (-349 (-485)))) (-4 *4 (-962)))))
+ (AND (|isDomain| *2 (|Mapping| (|TaylorSeries| *4)))
+ (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|TaylorSeries| *4))
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(((*1 *2 *2)
- (-11 (-4 *3 (-554 (-801 *3))) (-4 *3 (-797 *3)) (-4 *3 (-392))
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- (-4 *2 (-12 (-363 *3) (-1116))))))
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- (-11 (-4 *3 (-392)) (-5 *1 (-1122 *3 *2)) (-4 *2 (-12 (-363 *3) (-1116))))))
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(((*1 *2 *2)
- (-11 (-4 *3 (-392)) (-5 *1 (-1122 *3 *2)) (-4 *2 (-12 (-363 *3) (-1116))))))
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(((*1 *2 *2)
- (-11 (-4 *3 (-392)) (-5 *1 (-1122 *3 *2)) (-4 *2 (-12 (-363 *3) (-1116))))))
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(((*1 *2 *2)
- (-11 (-4 *3 (-392)) (-5 *1 (-1122 *3 *2)) (-4 *2 (-12 (-363 *3) (-1116))))))
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(((*1 *2 *2)
- (-11 (-4 *3 (-392)) (-5 *1 (-1122 *3 *2)) (-4 *2 (-12 (-363 *3) (-1116))))))
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+ (|Join| (|FunctionSpace| *3)
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(((*1 *2 *2)
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-(((*1 *2 *2) (-11 (-5 *2 (-878 *3)) (-4 *3 (-1014)) (-5 *1 (-879 *3))))
+ (AND (|ofCategory| *3 (|GcdDomain|))
+ (|isDomain| *1 (|TranscendentalManipulations| *3 *2))
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+ (|Join| (|FunctionSpace| *3)
+ (|TranscendentalFunctionCategory|))))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|PropositionalFormula| *3))
+ (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *1 (|PropositionalFormulaFunctions1| *3))))
((*1 *1 *1)
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- ((*1 *2 *3) (-11 (-5 *3 (-45)) (-5 *2 (-264 (-485))) (-5 *1 (-1033))))
+ (AND (|ofCategory| *2 (|CharacteristicZero|))
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+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *1 (|QuasiAlgebraicSet| *2 *3 *4 *5))
+ (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|AlgebraicNumber|))
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((*1 *2 *2)
- (-11 (-4 *3 (-392)) (-5 *1 (-1122 *3 *2)) (-4 *2 (-12 (-363 *3) (-1116))))))
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(((*1 *2 *2 *3)
- (-11 (-4 *3 (-496)) (-4 *4 (-323 *3)) (-4 *5 (-323 *3))
- (-5 *1 (-1121 *3 *4 *5 *2)) (-4 *2 (-628 *3 *4 *5)))))
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+ (|ofCategory| *5 (|FiniteLinearAggregate| *3))
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(((*1 *2 *2 *3)
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- (-5 *1 (-161 *4 *3)) (-4 *3 (-12 (-24) (-1116) (-363 (-141 *4))))))
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+(((*1 *2 *3)
+ (AND
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
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((*1 *2 *3)
- (-11 (-4 *4 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-141 *3))
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- ((*1 *2 *1) (-11 (-5 *2 (-82)) (-5 *1 (-376))))
+ (AND
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
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+(((*1 *2 *3)
+ (AND
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
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((*1 *2 *3)
- (-11 (-4 *4 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-82))
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-(((*1 *2 *1) (-11 (-4 *1 (-138 *2)) (-4 *2 (-145))))
+ (AND
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((*1 *2 *3)
- (-11 (-4 *4 (-12 (-496) (-951 (-485)))) (-5 *2 (-264 *4))
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+ (AND
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
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+ (|ofCategory| *3
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((*1 *2 *3)
- (-11 (-4 *4 (-12 (-496) (-951 (-485)))) (-5 *2 (-264 *4))
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- ((*1 *2 *1) (-11 (-4 *1 (-721 *2)) (-4 *2 (-145))))
- ((*1 *2 *1) (-11 (-4 *1 (-912 *2)) (-4 *2 (-145))))
+ (AND
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((*1 *2 *2)
- (-11 (-4 *3 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *1 (-1120 *3 *2))
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(((*1 *2 *2)
- (-11 (-4 *3 (-12 (-496) (-951 (-485)))) (-5 *1 (-161 *3 *2))
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((*1 *2 *2)
- (-11 (-4 *3 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *1 (-1120 *3 *2))
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(((*1 *2 *2)
- (-11 (-4 *3 (-12 (-496) (-951 (-485)))) (-5 *1 (-161 *3 *2))
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((*1 *2 *2 *3)
- (-11 (-5 *3 (-1091)) (-4 *4 (-12 (-496) (-951 (-485)))) (-5 *1 (-161 *4 *2))
- (-4 *2 (-12 (-24) (-1116) (-363 (-141 *4))))))
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((*1 *2 *2)
- (-11 (-4 *3 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *1 (-1120 *3 *2))
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((*1 *2 *2 *3)
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+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
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(((*1 *2 *2)
- (-11 (-4 *3 (-12 (-496) (-951 (-485)))) (-5 *1 (-161 *3 *2))
- (-4 *2 (-12 (-24) (-1116) (-363 (-141 *3))))))
+ (AND
+ (|ofCategory| *3 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|isDomain| *1 (|ComplexTrigonometricManipulations| *3 *2))
+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
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- (-11 (-5 *3 (-1091)) (-4 *4 (-12 (-496) (-951 (-485)))) (-5 *1 (-161 *4 *2))
- (-4 *2 (-12 (-24) (-1116) (-363 (-141 *4))))))
+ (AND (|isDomain| *3 (|Symbol|))
+ (|ofCategory| *4
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *2))
+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
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- (-11 (-4 *3 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *1 (-1120 *3 *2))
- (-4 *2 (-12 (-24) (-1116) (-363 *3)))))
+ (AND
+ (|ofCategory| *3
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|TrigonometricManipulations| *3 *2))
+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
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+ (AND (|isDomain| *3 (|Symbol|))
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
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+ (|ofCategory| *2
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- (-11 (-4 *3 (-496)) (-5 *1 (-229 *3 *2)) (-4 *2 (-12 (-363 *3) (-916)))))
+ (AND (|ofCategory| *3 (|IntegralDomain|))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
- (-4 *2 (-1144 *3 *4))))
+ (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3))
+ (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2))
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+ (|isDomain| *1
+ (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5))
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((*1 *2 *2)
- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1077 *3))))
+ (AND (|isDomain| *2 (|Stream| *3))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1078 *3))))
- ((*1 *1 *1) (-4 *1 (-1119))))
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- (-11 (-4 *3 (-496)) (-5 *1 (-229 *3 *2)) (-4 *2 (-12 (-363 *3) (-916)))))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
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- ((*1 *1 *2) (-11 (-5 *1 (-280 *2)) (-4 *2 (-757))))
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+ (|ofCategory| *5 (|PartialTranscendentalFunctions| *4))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *1 (|FourierComponent| *2))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1077 *3))))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1078 *3))))
- ((*1 *1 *1) (-4 *1 (-1119))))
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- (-11 (-4 *3 (-496)) (-5 *1 (-229 *3 *2)) (-4 *2 (-12 (-363 *3) (-916)))))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1077 *3))))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1078 *3))))
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- (-11 (-4 *3 (-496)) (-5 *1 (-229 *3 *2)) (-4 *2 (-12 (-363 *3) (-916)))))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
- (-4 *2 (-1144 *3 *4))))
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+ (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1077 *3))))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1078 *3))))
- ((*1 *1 *1) (-4 *1 (-1119))))
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- (-11 (-4 *3 (-496)) (-5 *1 (-229 *3 *2)) (-4 *2 (-12 (-363 *3) (-916)))))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
- (-4 *2 (-1144 *3 *4))))
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+ (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1077 *3))))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1078 *3))))
- ((*1 *1 *1) (-4 *1 (-1119))))
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- (-11 (-4 *3 (-496)) (-5 *1 (-229 *3 *2)) (-4 *2 (-12 (-363 *3) (-916)))))
+ (AND (|ofCategory| *3 (|IntegralDomain|))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
- (-4 *2 (-1144 *3 *4))))
+ (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
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- ((*1 *1 *2) (-11 (-5 *1 (-280 *2)) (-4 *2 (-757))))
+ (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
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+ (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5))
+ (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4))
+ (|ofCategory| *5 (|PartialTranscendentalFunctions| *4))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *1 (|FourierComponent| *2))
+ (|ofCategory| *2 (|OrderedSet|))))
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- (-11 (-5 *2 (-1070 *3)) (-4 *3 (-35 (-349 (-485)))) (-5 *1 (-1077 *3))))
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- ((*1 *1 *2) (-11 (-5 *2 (-584 *3)) (-4 *3 (-1014)) (-5 *1 (-1117 *3))))
+ (AND (|isDomain| *2 (|Stream| *3))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
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+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *2 (|Boolean|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Tree| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|))
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((*1 *1 *2 *3)
- (-11 (-5 *3 (-584 (-1117 *2))) (-5 *1 (-1117 *2)) (-4 *2 (-1014)))))
-(((*1 *1 *1) (-11 (-5 *1 (-1117 *2)) (-4 *2 (-1014)))))
+ (AND (|isDomain| *3 (|List| (|Tree| *2))) (|isDomain| *1 (|Tree| *2))
+ (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *1 *1)
+ (AND (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|)))))
(((*1 *2 *1)
- (-11 (-5 *2 (-584 (-1117 *3))) (-5 *1 (-1117 *3)) (-4 *3 (-1014)))))
-(((*1 *2 *1 *1) (-11 (-5 *2 (-82)) (-5 *1 (-1117 *3)) (-4 *3 (-1014)))))
+ (AND (|isDomain| *2 (|List| (|Tree| *3))) (|isDomain| *1 (|Tree| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *2 *1 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Tree| *3))
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(((*1 *2 *1)
- (-11 (-5 *2 (-584 (-1117 *3))) (-5 *1 (-1117 *3)) (-4 *3 (-1014)))))
+ (AND (|isDomain| *2 (|List| (|Tree| *3))) (|isDomain| *1 (|Tree| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *2)
+ (AND (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))
+ (|isDomain| *1 (|ElementaryFunction| *3 *2))
+ (|ofCategory| *3 (|IntegralDomain|))))
+ ((*1 *1) (|isDomain| *1 (|Pi|)))
+ ((*1 *1) (|ofCategory| *1 (|TranscendentalFunctionCategory|))))
(((*1 *2)
- (-11 (-4 *2 (-12 (-363 *3) (-916))) (-5 *1 (-229 *3 *2)) (-4 *3 (-496))))
- ((*1 *1) (-5 *1 (-417))) ((*1 *1) (-4 *1 (-1116))))
-(((*1 *2) (-11 (-5 *2 (-1048 (-178))) (-5 *1 (-1114)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1074)) (-5 *2 (-485)) (-5 *1 (-1113 *4)) (-4 *4 (-962)))))
-(((*1 *2 *3) (|partial| -11 (-5 *2 (-485)) (-5 *1 (-1113 *3)) (-4 *3 (-962)))))
-(((*1 *2 *1) (-11 (-4 *1 (-715)) (-5 *2 (-485))))
- ((*1 *2 *1) (-11 (-5 *2 (-485)) (-5 *1 (-814 *3)) (-4 *3 (-1014))))
+ (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|)))
+ (|isDomain| *1 (|TopLevelThreeSpace|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|ToolsForSign| *4)) (|ofCategory| *4 (|Ring|)))))
+(((*1 *2 *3)
+ (|partial| AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|ToolsForSign| *3)) (|ofCategory| *3 (|Ring|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|OrderedAbelianGroup|)) (|isDomain| *2 (|Integer|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Permutation| *3))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *3 *1)
- (-11 (-4 *1 (-981 *4 *3)) (-4 *4 (-12 (-756) (-311))) (-4 *3 (-1156 *4))
- (-5 *2 (-485))))
+ (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3))
+ (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|)))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Integer|))))
((*1 *2 *3)
- (|partial| -11 (-4 *4 (-12 (-496) (-951 *2) (-581 *2) (-392))) (-5 *2 (-485))
- (-5 *1 (-1031 *4 *3)) (-4 *3 (-12 (-24) (-1116) (-363 *4)))))
+ (|partial| AND
+ (|ofCategory| *4
+ (|Join| (|IntegralDomain|) (|RetractableTo| *2)
+ (|LinearlyExplicitRingOver| *2) (|GcdDomain|)))
+ (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ElementaryFunctionSign| *4 *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *4)))))
((*1 *2 *3 *4 *5)
- (|partial| -11 (-5 *4 (-1091)) (-5 *5 (-751 *3))
- (-4 *3 (-12 (-24) (-1116) (-363 *6)))
- (-4 *6 (-12 (-496) (-951 *2) (-581 *2) (-392))) (-5 *2 (-485))
- (-5 *1 (-1031 *6 *3))))
+ (|partial| AND (|isDomain| *4 (|Symbol|))
+ (|isDomain| *5 (|OrderedCompletion| *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|IntegralDomain|) (|RetractableTo| *2)
+ (|LinearlyExplicitRingOver| *2) (|GcdDomain|)))
+ (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|ElementaryFunctionSign| *6 *3))))
((*1 *2 *3 *4 *3 *5)
- (|partial| -11 (-5 *4 (-1091)) (-5 *5 (-1074))
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- (-5 *1 (-1031 *6 *3)) (-4 *3 (-12 (-24) (-1116) (-363 *6)))))
+ (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|String|))
+ (|ofCategory| *6
+ (|Join| (|IntegralDomain|) (|RetractableTo| *2)
+ (|LinearlyExplicitRingOver| *2) (|GcdDomain|)))
+ (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ElementaryFunctionSign| *6 *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)))))
((*1 *2 *3)
- (|partial| -11 (-5 *3 (-349 (-858 *4))) (-4 *4 (-392)) (-5 *2 (-485))
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+ ((*1 *2 *1)
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+ (|isDomain| *2 (|Maybe| (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))))
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+ (SIGNATURE |elt| ((|String|) $ (|Symbol|)))
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+ ((*1 *1)
+ (AND (|isDomain| *1 (|PatternMatchResult| *2 *3))
+ (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *1 (|SquareMatrix| *3 *2))
+ (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *2 (|Ring|))))
+ ((*1 *1)
+ (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|))
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+ ((*1 *1 *1) (|isDomain| *1 (|Symbol|))) ((*1 *1) (|isDomain| *1 (|Symbol|)))
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+ (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|)))))
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+ (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 *1 *1 *2)
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+ ((*1 *1 *2 *1 *3)
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(((*1 *2)
- (-11 (-5 *2 (-82)) (-5 *1 (-1109 *3 *4)) (-4 *3 (-1014)) (-4 *4 (-1014)))))
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- (-5 *1 (-1102 *4)) (-5 *3 (-584 (-584 (-584 *4)))))))
+ (AND (|isDomain| *2 (|List| (|Record| (|:| |key| *3) (|:| |entry| *4))))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))
+ (|ofCategory| *1 (|TableAggregate| *3 *4))))
+ ((*1 *1)
+ (AND (|ofCategory| *1 (|TableAggregate| *2 *3))
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+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|TangentExpansions| *2))
+ (|ofCategory| *2 (|Field|)))))
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+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|TangentExpansions| *2))
+ (|ofCategory| *2 (|Field|)))))
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+ (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *3 (|IntegralDomain|))
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+ (|ofCategory| *4 (|FunctionSpace| *3))))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Arity|))
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+ ((*1 *1 *2 *3)
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+ ((*1 *1 *2)
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+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *3 (|IntegralDomain|))
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+ (|ofCategory| *4 (|FunctionSpace| *3))))
+ ((*1 *2 *3)
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+ ((*1 *2 *2)
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+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|BasicOperator|))
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+ (|ofCategory| *3 (|ExpressionSpace|))))
+ ((*1 *2 *2)
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+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|BasicOperator|)) (|ofCategory| *4 (|SetCategory|))
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+ ((*1 *2 *2)
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+ (|TranscendentalFunctionCategory|)))))
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+ ((*1 *1 *2 *3)
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+ (|ofCategory| *5 (|FiniteLinearAggregate| *3))
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+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|Fraction| (|Polynomial| *5)) (|Expression| *5)))
+ (|isDomain| *1 (|RationalFunctionSum| *5))
+ (|isDomain| *3 (|Fraction| (|Polynomial| *5)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|SegmentBinding| (|Polynomial| *5)))
+ (|isDomain| *3 (|Polynomial| *5))
+ (|ofCategory| *5
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|isDomain| *2 (|Fraction| *3))
+ (|isDomain| *1 (|RationalFunctionSum| *5))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|SegmentBinding| (|Fraction| (|Polynomial| *5))))
+ (|isDomain| *3 (|Fraction| (|Polynomial| *5)))
+ (|ofCategory| *5
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|isDomain| *2 (|Union| *3 (|Expression| *5)))
+ (|isDomain| *1 (|RationalFunctionSum| *5)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2 (|Mapping| (|Boolean|) *5))
+ (|isDomain| *1 (|PatternFunctions1| *4 *5)) (|ofCategory| *5 (|Type|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|SuchThatAst|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|))
+ (|ofCategory| *1 (|Collection| *3))))
((*1 *1 *2)
- (-11 (-5 *2 (-584 (-2 (|:| -2403 (-695)) (|:| -3776 *4) (|:| |num| *4))))
- (-4 *4 (-1156 *3)) (-4 *3 (-12 (-311) (-117))) (-5 *1 (-341 *3 *4))))
+ (AND
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| *4)
+ (|:| |num| *4))))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|)))
+ (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4))))
((*1 *1 *2 *3 *4)
- (-11 (-5 *2 (-3 (|:| |fst| (-376)) (|:| -3914 #1="void")))
- (-5 *3 (-584 (-858 (-485)))) (-5 *4 (-82)) (-5 *1 (-378))))
+ (AND
+ (|isDomain| *2
+ (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| #1="void")))
+ (|isDomain| *3 (|List| (|Polynomial| (|Integer|))))
+ (|isDomain| *4 (|Boolean|)) (|isDomain| *1 (|FortranType|))))
((*1 *1 *2 *3 *4)
- (-11 (-5 *2 (-3 (|:| |fst| (-376)) (|:| -3914 #1#))) (-5 *3 (-584 (-1091)))
- (-5 *4 (-82)) (-5 *1 (-378))))
- ((*1 *2 *1) (-11 (-5 *2 (-1070 *3)) (-5 *1 (-537 *3)) (-4 *3 (-1130))))
- ((*1 *1 *1 *1) (-11 (-4 *1 (-575 *2)) (-4 *2 (-145))))
+ (AND
+ (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| #1#)))
+ (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *4 (|Boolean|))
+ (|isDomain| *1 (|FortranType|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|InfiniteTuple| *3))
+ (|ofCategory| *3 (|Type|))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|LieAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-615 *3)) (-4 *3 (-757)) (-5 *1 (-607 *3 *4)) (-4 *4 (-145))))
+ (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|))
+ (|isDomain| *1 (|LiePolynomial| *3 *4))
+ (|ofCategory| *4 (|CommutativeRing|))))
((*1 *1 *2 *1)
- (-11 (-5 *2 (-615 *3)) (-4 *3 (-757)) (-5 *1 (-607 *3 *4)) (-4 *4 (-145))))
+ (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|))
+ (|isDomain| *1 (|LiePolynomial| *3 *4))
+ (|ofCategory| *4 (|CommutativeRing|))))
((*1 *1 *2 *2)
- (-11 (-5 *2 (-615 *3)) (-4 *3 (-757)) (-5 *1 (-607 *3 *4)) (-4 *4 (-145))))
+ (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|))
+ (|isDomain| *1 (|LiePolynomial| *3 *4))
+ (|ofCategory| *4 (|CommutativeRing|))))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *1 (|ModuleMonomial| *2 *3 *4))
+ (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|SetCategory|))
+ (|ofType| *4
+ (|Mapping| (|Boolean|) (|Record| (|:| |index| *2) (|:| |exponent| *3))
+ (|Record| (|:| |index| *2) (|:| |exponent| *3))))))
((*1 *1 *2 *3)
- (-11 (-5 *1 (-651 *2 *3 *4)) (-4 *2 (-757)) (-4 *3 (-1014))
- (-13 *4
- (-1 (-82) (-2 (|:| -2402 *2) (|:| -2403 *3))
- (-2 (|:| -2402 *2) (|:| -2403 *3))))))
- ((*1 *1 *2 *3) (-11 (-5 *2 (-447)) (-5 *3 (-1029)) (-5 *1 (-750))))
- ((*1 *1 *2 *3) (-11 (-5 *1 (-783 *2 *3)) (-4 *2 (-1130)) (-4 *3 (-1130))))
- ((*1 *1 *2)
- (-11 (-5 *2 (-584 (-2 (|:| -3864 (-1091)) (|:| |entry| *4)))) (-4 *4 (-1014))
- (-5 *1 (-799 *3 *4)) (-4 *3 (-1014))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-584 *5)) (-4 *5 (-12 (-1014) (-31)))
- (-5 *2 (-584 (-1055 *3 *5))) (-5 *1 (-1055 *3 *5))
- (-4 *3 (-12 (-1014) (-31)))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-584 (-2 (|:| |val| *4) (|:| -1601 *5))))
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- ((*1 *1 *2)
- (-11 (-5 *2 (-2 (|:| |val| *3) (|:| -1601 *4))) (-4 *3 (-12 (-1014) (-31)))
- (-4 *4 (-12 (-1014) (-31))) (-5 *1 (-1055 *3 *4))))
+ (AND (|isDomain| *2 (|Identifier|)) (|isDomain| *3 (|Signature|))
+ (|isDomain| *1 (|OperatorSignature|))))
((*1 *1 *2 *3)
- (-11 (-5 *1 (-1055 *2 *3)) (-4 *2 (-12 (-1014) (-31)))
- (-4 *3 (-12 (-1014) (-31)))))
+ (AND (|isDomain| *1 (|Pair| *2 *3)) (|ofCategory| *2 (|Type|))
+ (|ofCategory| *3 (|Type|))))
+ ((*1 *1 *2)
+ (AND
+ (|isDomain| *2 (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| *4))))
+ (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *1 (|PatternMatchResult| *3 *4))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|List| *5))
+ (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *2 (|List| (|SplittingNode| *3 *5)))
+ (|isDomain| *1 (|SplittingNode| *3 *5))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| (|Record| (|:| |val| *4) (|:| |tower| *5))))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *2 (|List| (|SplittingNode| *4 *5)))
+ (|isDomain| *1 (|SplittingNode| *4 *5))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Record| (|:| |val| *3) (|:| |tower| *4)))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *1 (|SplittingNode| *3 *4))))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *1 (|SplittingNode| *2 *3))
+ (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))
((*1 *1 *2 *3 *4)
- (-11 (-5 *4 (-82)) (-5 *1 (-1055 *2 *3)) (-4 *2 (-12 (-1014) (-31)))
- (-4 *3 (-12 (-1014) (-31)))))
+ (AND (|isDomain| *4 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *2 *3))
+ (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))
((*1 *1 *2 *3 *2 *4)
- (-11 (-5 *4 (-584 *3)) (-4 *3 (-12 (-1014) (-31))) (-5 *1 (-1056 *2 *3))
- (-4 *2 (-12 (-1014) (-31)))))
+ (AND (|isDomain| *4 (|List| *3))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *1 (|SplittingTree| *2 *3))
+ (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))))
((*1 *1 *2 *3 *4)
- (-11 (-5 *4 (-584 (-1055 *2 *3))) (-4 *2 (-12 (-1014) (-31)))
- (-4 *3 (-12 (-1014) (-31))) (-5 *1 (-1056 *2 *3))))
+ (AND (|isDomain| *4 (|List| (|SplittingNode| *2 *3)))
+ (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *1 (|SplittingTree| *2 *3))))
((*1 *1 *2 *3 *4)
- (-11 (-5 *4 (-584 (-1056 *2 *3))) (-5 *1 (-1056 *2 *3))
- (-4 *2 (-12 (-1014) (-31))) (-4 *3 (-12 (-1014) (-31)))))
- ((*1 *1 *2)
- (-11 (-5 *2 (-1055 *3 *4)) (-4 *3 (-12 (-1014) (-31)))
- (-4 *4 (-12 (-1014) (-31))) (-5 *1 (-1056 *3 *4))))
- ((*1 *1 *2 *3) (-11 (-5 *1 (-1081 *2 *3)) (-4 *2 (-1014)) (-4 *3 (-1014)))))
-(((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-107))))
- ((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-126))))
- ((*1 *2 *1) (-11 (-5 *1 (-248 *2)) (-4 *2 (-1130))))
- ((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-418))))
- ((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-529))))
- ((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-566))))
- ((*1 *2 *1)
- (-11 (-4 *3 (-1014)) (-4 *2 (-12 (-363 *4) (-797 *3) (-554 (-801 *3))))
- (-5 *1 (-988 *3 *4 *2)) (-4 *4 (-12 (-962) (-797 *3) (-554 (-801 *3))))))
- ((*1 *2 *1) (-11 (-4 *2 (-1014)) (-5 *1 (-1081 *2 *3)) (-4 *3 (-1014)))))
-(((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-107))))
- ((*1 *2 *1) (-11 (-5 *2 (-1131)) (-5 *1 (-126))))
- ((*1 *2 *1) (-11 (-5 *1 (-248 *2)) (-4 *2 (-1130))))
- ((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-418))))
- ((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-529))))
- ((*1 *2 *1) (-11 (-5 *2 (-1050)) (-5 *1 (-566))))
- ((*1 *2 *1)
- (-11 (-4 *3 (-1014)) (-4 *2 (-12 (-363 *4) (-797 *3) (-554 (-801 *3))))
- (-5 *1 (-988 *3 *4 *2)) (-4 *4 (-12 (-962) (-797 *3) (-554 (-801 *3))))))
- ((*1 *2 *1) (-11 (-4 *2 (-1014)) (-5 *1 (-1081 *3 *2)) (-4 *3 (-1014)))))
-(((*1 *2 *1) (-11 (-4 *1 (-924 *3)) (-4 *3 (-1130)) (-5 *2 (-82))))
- ((*1 *2 *1)
- (-11 (-5 *2 (-82)) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831)) (-4 *4 (-962)))))
-(((*1 *2 *1)
- (-11 (-5 *2 (-82)) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831)) (-4 *4 (-962)))))
-(((*1 *2 *1)
- (-11 (-5 *2 (-82)) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831)) (-4 *4 (-962)))))
-(((*1 *1 *1) (-11 (-5 *1 (-1080 *2 *3)) (-13 *2 (-831)) (-4 *3 (-962)))))
+ (AND (|isDomain| *4 (|List| (|SplittingTree| *2 *3)))
+ (|isDomain| *1 (|SplittingTree| *2 *3))
+ (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|SplittingNode| *3 *4))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *1 (|SplittingTree| *3 *4))))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *1 (|SuchThat| *2 *3)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|CaseAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|ColonAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|HasAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|IsAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|LetAst|))))
+ ((*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)
+ (|ConvertibleTo| (|Pattern| *3))))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|SuchThat| *2 *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|CaseAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|TypeAst|)) (|isDomain| *1 (|ColonAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|HasAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|IsAst|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|SpadAst|)) (|isDomain| *1 (|LetAst|))))
+ ((*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)
+ (|ConvertibleTo| (|Pattern| *3))))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|SuchThat| *3 *2))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *2 (|Boolean|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4))
+ (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4))
+ (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpace| *3 *4))
+ (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)))))
+(((*1 *1 *1)
+ (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|))
+ (|ofCategory| *3 (|Ring|)))))
(((*1 *1 *1 *2)
- (-11 (-5 *2 (-695)) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831)) (-4 *4 (-962)))))
-(((*1 *2 *1) (-11 (-4 *3 (-1130)) (-5 *2 (-584 *1)) (-4 *1 (-924 *3))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|Ring|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|RecursiveAggregate| *3))))
((*1 *2 *1)
- (-11 (-5 *2 (-584 (-1080 *3 *4))) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831))
- (-4 *4 (-962)))))
+ (AND (|isDomain| *2 (|List| (|SubSpace| *3 *4)))
+ (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|Ring|)))))
(((*1 *2 *1)
- (-11 (-5 *2 (-695)) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831)) (-4 *4 (-962)))))
-(((*1 *1 *1) (-11 (-5 *1 (-1080 *2 *3)) (-13 *2 (-831)) (-4 *3 (-962)))))
-(((*1 *1 *1) (-11 (-5 *1 (-1080 *2 *3)) (-13 *2 (-831)) (-4 *3 (-962)))))
-(((*1 *1 *1 *1) (-11 (-4 *1 (-323 *2)) (-4 *2 (-1130)) (-4 *2 (-757))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|Ring|)))))
+(((*1 *1 *1)
+ (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|))
+ (|ofCategory| *3 (|Ring|)))))
+(((*1 *1 *1)
+ (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|))
+ (|ofCategory| *3 (|Ring|)))))
+(((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|OrderedSet|))))
((*1 *1 *2 *1 *1)
- (-11 (-5 *2 (-1 (-82) *3 *3)) (-4 *1 (-323 *3)) (-4 *3 (-1130))))
- ((*1 *1 *1 *1) (-11 (-4 *1 (-882 *2)) (-4 *2 (-757))))
- ((*1 *1 *1 *1) (-11 (-4 *1 (-1049 *2)) (-4 *2 (-962))))
- ((*1 *1 *2) (-11 (-5 *2 (-584 *1)) (-4 *1 (-1049 *3)) (-4 *3 (-962))))
- ((*1 *1 *2)
- (-11 (-5 *2 (-584 (-1080 *3 *4))) (-5 *1 (-1080 *3 *4)) (-13 *3 (-831))
- (-4 *4 (-962))))
- ((*1 *1 *1 *1) (-11 (-5 *1 (-1080 *2 *3)) (-13 *2 (-831)) (-4 *3 (-962)))))
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3 *3))
+ (|ofCategory| *1 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|Type|))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|PriorityQueueAggregate| *2))
+ (|ofCategory| *2 (|OrderedSet|))))
+ ((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|ThreeSpaceCategory| *2)) (|ofCategory| *2 (|Ring|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3))
+ (|ofCategory| *3 (|Ring|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| (|SubSpace| *3 *4)))
+ (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|Ring|))))
+ ((*1 *1 *1 *1)
+ (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|))
+ (|ofCategory| *3 (|Ring|)))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-855 *5)) (-4 *5 (-962)) (-5 *2 (-695)) (-5 *1 (-1080 *4 *5))
- (-13 *4 (-831))))
+ (AND (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 (-695))) (-5 *3 (-695)) (-5 *1 (-1080 *4 *5))
- (-13 *4 (-831)) (-4 *5 (-962))))
+ (AND (|isDomain| *2 (|List| (|NonNegativeInteger|)))
+ (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|))
+ (|ofCategory| *5 (|Ring|))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 (-695))) (-5 *3 (-855 *5)) (-4 *5 (-962))
- (-5 *1 (-1080 *4 *5)) (-13 *4 (-831)))))
+ (AND (|isDomain| *2 (|List| (|NonNegativeInteger|)))
+ (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|))
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- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *4 (-1173 *3)) (-5 *1 (-231 *3 *4 *2))
- (-4 *2 (-1144 *3 *4))))
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- ((*1 *2 *3) (-11 (-5 *2 (-1070 *3)) (-5 *1 (-1076 *3)) (-4 *3 (-962)))))
+ (AND (|isDomain| *3 (|Symbol|))
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+ (|Join| (|EuclideanDomain|) (|RetractableTo| (|Integer|))
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+ (|Join| (|AlgebraicallyClosedFunctionSpace| *4)
+ (|TranscendentalFunctionCategory|)
+ (|PrimitiveFunctionCategory|)))))
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+ ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))
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- (-13 *7 (-1 (-3 *3 "failed") *3 *3 *4))))
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- (-4 *4 (-984 *5 *6 *7 *3))))
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+ (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *3)))
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- (-4 *2 (-1156 *3))))
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+ (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|)))
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- (-5 *1 (-1070 *4)))))
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- ((*1 *2 *3 *4)
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+ (AND
+ (|isDomain| *2
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+ (|isDomain| *1 (|OutputPackage|))))
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+ (|ofCategory| *5 (|GcdDomain|))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1
+ (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9)))))
+(((*1 *1) (|isDomain| *1 (|CharacterClass|)))
+ ((*1 *1 *1) (|isDomain| *1 (|Character|)))
+ ((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|))))
+(((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|))))
+(((*1 *1) (|isDomain| *1 (|CharacterClass|)))
+ ((*1 *1 *1) (|isDomain| *1 (|Character|)))
+ ((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|))))
+(((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *1 *1 *3)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *3 (|Integer|))
+ (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *6))
+ (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Type|))
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((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-584 *5)) (-5 *4 (-584 *2)) (-4 *5 (-1014)) (-4 *2 (-1130))
- (-5 *1 (-586 *5 *2))))
+ (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *2))
+ (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|Type|))
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((*1 *2 *3 *4 *5)
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- (-5 *2 (-1 *5 *6)) (-5 *1 (-586 *6 *5))))
+ (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|List| *5))
+ (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *5 (|Type|))
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- (-11 (-5 *3 (-584 *5)) (-5 *4 (-584 *2)) (-4 *5 (-1014)) (-4 *2 (-1130))
- (-5 *1 (-586 *5 *2))))
+ (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| *2))
+ (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *2 (|Type|))
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((*1 *2 *3 *4 *2)
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- (-4 *6 (-1130)) (-5 *1 (-586 *5 *6))))
+ (AND (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *3 (|List| *5))
+ (|isDomain| *4 (|List| *6)) (|ofCategory| *5 (|SetCategory|))
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-(((*1 *1 *1 *2 *1) (-11 (-4 *1 (-1059)) (-5 *2 (-1147 (-485))))))
-(((*1 *2 *1) (-11 (-4 *1 (-102)) (-5 *2 (-695))))
+ (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 *1 *1 *3)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *3 (|Character|))
+ (|isDomain| *2 (|Boolean|)))))
+(((*1 *1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|StringAggregate|))
+ (|isDomain| *2 (|UniversalSegment| (|Integer|))))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|CachableSet|))
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((*1 *2 *3 *1 *2)
- (-11 (-5 *2 (-485)) (-4 *1 (-323 *3)) (-4 *3 (-1130)) (-4 *3 (-69))))
+ (AND (|isDomain| *2 (|Integer|))
+ (|ofCategory| *1 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|BasicType|))))
((*1 *2 *3 *1)
- (-11 (-4 *1 (-323 *3)) (-4 *3 (-1130)) (-4 *3 (-69)) (-5 *2 (-485))))
+ (AND (|ofCategory| *1 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|BasicType|))
+ (|isDomain| *2 (|Integer|))))
((*1 *2 *3 *1)
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- ((*1 *2 *1) (-11 (-5 *2 (-1034)) (-5 *1 (-468))))
- ((*1 *2 *3 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-485)) (-5 *3 (-111))))
- ((*1 *2 *1 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-485)))))
-(((*1 *2 *3) (-11 (-5 *2 (-347 *3)) (-5 *1 (-36 *3)) (-4 *3 (-1156 (-45)))))
+ (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4))
+ (|ofCategory| *1 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Integer|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|InputBinaryFile|))))
+ ((*1 *2 *3 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *3 (|CharacterClass|))))
+ ((*1 *2 *1 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Integer|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|AlgFactor| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|AlgebraicNumber|)))))
((*1 *2 *3 *1)
- (-11 (-5 *2 (-2 (|:| |less| (-91 *3)) (|:| |greater| (-91 *3))))
- (-5 *1 (-91 *3)) (-4 *3 (-757))))
- ((*1 *2 *2)
- (-11 (-5 *2 (-520 *4)) (-4 *4 (-12 (-26 *3) (-1116)))
- (-4 *3 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *1 (-522 *3 *4))))
- ((*1 *2 *2)
- (-11 (-5 *2 (-520 (-349 (-858 *3))))
- (-4 *3 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *1 (-526 *3))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-1 *3 *3)) (-4 *3 (-1156 *5)) (-4 *5 (-311))
- (-5 *2 (-2 (|:| -3092 *3) (|:| |special| *3))) (-5 *1 (-667 *5 *3))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-1180 *5)) (-4 *5 (-311)) (-4 *5 (-962))
- (-5 *2 (-584 (-584 (-631 *5)))) (-5 *1 (-944 *5)) (-5 *3 (-584 (-631 *5)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-1180 (-1180 *5))) (-4 *5 (-311)) (-4 *5 (-962))
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- ((*1 *2 *1 *3) (-11 (-5 *3 (-111)) (-5 *2 (-584 *1)) (-4 *1 (-1059))))
- ((*1 *2 *1 *3) (-11 (-5 *3 (-114)) (-5 *2 (-584 *1)) (-4 *1 (-1059)))))
-(((*1 *1 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-111))))
- ((*1 *1 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-114)))))
-(((*1 *1 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-111))))
- ((*1 *1 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-114)))))
-(((*1 *1 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-111))))
- ((*1 *1 *1 *2) (-11 (-4 *1 (-1059)) (-5 *2 (-114)))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |less| #1=(|BinarySearchTree| *3)) (|:| |greater| #1#)))
+ (|isDomain| *1 (|BinarySearchTree| *3)) (|ofCategory| *3 (|OrderedSet|))))
+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|IntegrationResult| *4))
+ (|ofCategory| *4
+ (|Join| (|AlgebraicallyClosedFunctionSpace| *3)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *3
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|IntegrationResultToFunction| *3 *4))))
+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|IntegrationResult| (|Fraction| (|Polynomial| *3))))
+ (|ofCategory| *3
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|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 *1 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|))
+ (|isDomain| *2 (|CharacterClass|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|)))))
+(((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|))
+ (|isDomain| *2 (|CharacterClass|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|)))))
+(((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|))
+ (|isDomain| *2 (|CharacterClass|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|)))))
(((*1 *1 *1 *2 *2)
- (-11 (-5 *2 (-485)) (-5 *1 (-105 *3 *4 *5)) (-13 *3 *2) (-13 *4 (-695))
- (-4 *5 (-145))))
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5))
+ (|ofType| *3 *2) (|ofType| *4 (|NonNegativeInteger|))
+ (|ofCategory| *5 (|CommutativeRing|))))
((*1 *1 *1)
- (-11 (-5 *1 (-105 *2 *3 *4)) (-13 *2 (-485)) (-13 *3 (-695)) (-4 *4 (-145))))
+ (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|))
+ (|ofType| *3 (|NonNegativeInteger|))
+ (|ofCategory| *4 (|CommutativeRing|))))
((*1 *1 *1)
- (-11 (-4 *1 (-628 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-323 *2))
- (-4 *4 (-323 *2))))
+ (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *2))))
((*1 *1 *2)
- (-11 (-4 *3 (-962)) (-4 *1 (-628 *3 *2 *4)) (-4 *2 (-323 *3))
- (-4 *4 (-323 *3))))
- ((*1 *1 *1) (-11 (-5 *1 (-1057 *2 *3)) (-13 *2 (-695)) (-4 *3 (-962)))))
+ (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 *1 *2)
- (-11 (-5 *2 (-631 *4)) (-4 *4 (-962)) (-5 *1 (-1057 *3 *4)) (-13 *3 (-695)))))
+ (AND (|isDomain| *2 (|Matrix| *4)) (|ofCategory| *4 (|Ring|))
+ (|isDomain| *1 (|SquareMatrix| *3 *4))
+ (|ofType| *3 (|NonNegativeInteger|)))))
(((*1 *1 *1)
- (|partial| -11 (-5 *1 (-1056 *2 *3)) (-4 *2 (-12 (-1014) (-31)))
- (-4 *3 (-12 (-1014) (-31))))))
+ (|partial| AND (|isDomain| *1 (|SplittingTree| *2 *3))
+ (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))))
(((*1 *1 *1)
- (-11 (-5 *1 (-1056 *2 *3)) (-4 *2 (-12 (-1014) (-31)))
- (-4 *3 (-12 (-1014) (-31))))))
+ (AND (|isDomain| *1 (|SplittingTree| *2 *3))
+ (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))))))
(((*1 *2 *1)
- (-11 (-5 *2 (-584 *4)) (-5 *1 (-1056 *3 *4)) (-4 *3 (-12 (-1014) (-31)))
- (-4 *4 (-12 (-1014) (-31))))))
+ (AND (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SplittingTree| *3 *4))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))))))
(((*1 *2 *1)
- (-11 (-5 *2 (-584 (-2 (|:| |val| *3) (|:| -1601 *4)))) (-5 *1 (-1056 *3 *4))
- (-4 *3 (-12 (-1014) (-31))) (-4 *4 (-12 (-1014) (-31))))))
+ (AND (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4))))
+ (|isDomain| *1 (|SplittingTree| *3 *4))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))))))
(((*1 *2 *3 *1)
- (-11 (-5 *3 (-1055 *4 *5)) (-4 *4 (-12 (-1014) (-31)))
- (-4 *5 (-12 (-1014) (-31))) (-5 *2 (-82)) (-5 *1 (-1056 *4 *5)))))
+ (AND (|isDomain| *3 (|SplittingNode| *4 *5))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingTree| *4 *5)))))
(((*1 *2 *3 *1 *4)
- (-11 (-5 *3 (-1055 *5 *6)) (-5 *4 (-1 (-82) *6 *6))
- (-4 *5 (-12 (-1014) (-31))) (-4 *6 (-12 (-1014) (-31))) (-5 *2 (-82))
- (-5 *1 (-1056 *5 *6)))))
+ (AND (|isDomain| *3 (|SplittingNode| *5 *6))
+ (|isDomain| *4 (|Mapping| (|Boolean|) *6 *6))
+ (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *6 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingTree| *5 *6)))))
(((*1 *1 *2 *1)
- (-11 (-4 *1 (-317 *2)) (-4 *1 (-121 *2)) (-4 *2 (-1130)) (-4 *2 (-69))))
+ (AND (|ofCategory| *1 (|FiniteAggregate| *2))
+ (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|))
+ (|ofCategory| *2 (|BasicType|))))
+ ((*1 *1 *2 *1)
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3))
+ (|ofCategory| *1 (|FiniteAggregate| *3))
+ (|ofCategory| *1 (|Collection| *3)) (|ofCategory| *3 (|Type|))))
((*1 *1 *2 *1)
- (-11 (-5 *2 (-1 (-82) *3)) (-4 *1 (-317 *3)) (-4 *1 (-121 *3))
- (-4 *3 (-1130))))
- ((*1 *1 *2 *1) (-11 (-5 *2 (-1 (-82) *3)) (-4 *1 (-617 *3)) (-4 *3 (-1130))))
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3))
+ (|ofCategory| *1 (|LazyStreamAggregate| *3))
+ (|ofCategory| *3 (|Type|))))
((*1 *1 *2 *1 *3)
- (-11 (-5 *2 (-1 (-82) *4)) (-5 *3 (-485)) (-4 *4 (-1014)) (-5 *1 (-676 *4))))
- ((*1 *1 *2 *1 *3) (-11 (-5 *3 (-485)) (-5 *1 (-676 *2)) (-4 *2 (-1014))))
+ (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)
- (-11 (-5 *2 (-1055 *3 *4)) (-4 *3 (-12 (-1014) (-31)))
- (-4 *4 (-12 (-1014) (-31))) (-5 *1 (-1056 *3 *4)))))
+ (AND (|isDomain| *2 (|SplittingNode| *3 *4))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *1 (|SplittingTree| *3 *4)))))
(((*1 *1 *2 *1)
- (-11 (-5 *2 (-1 (-82) *3)) (-4 *1 (-317 *3)) (-4 *1 (-192 *3))
- (-4 *3 (-1014))))
- ((*1 *1 *2 *1) (-11 (-4 *1 (-317 *2)) (-4 *1 (-192 *2)) (-4 *2 (-1014))))
- ((*1 *1 *2 *1) (-11 (-4 *1 (-236 *2)) (-4 *2 (-1130)) (-4 *2 (-69))))
- ((*1 *1 *2 *1) (-11 (-5 *2 (-1 (-82) *3)) (-4 *1 (-236 *3)) (-4 *3 (-1130))))
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3))
+ (|ofCategory| *1 (|FiniteAggregate| *3))
+ (|ofCategory| *1 (|DictionaryOperations| *3))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteAggregate| *2))
+ (|ofCategory| *1 (|DictionaryOperations| *2))
+ (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|ExtensibleLinearAggregate| *2))
+ (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|BasicType|))))
+ ((*1 *1 *2 *1)
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3))
+ (|ofCategory| *1 (|ExtensibleLinearAggregate| *3))
+ (|ofCategory| *3 (|Type|))))
((*1 *2 *3 *1)
- (|partial| -11 (-4 *1 (-550 *3 *2)) (-4 *3 (-1014)) (-4 *2 (-1014))))
+ (|partial| AND (|ofCategory| *1 (|KeyedDictionary| *3 *2))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))
+ ((*1 *1 *2 *1 *3)
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) *4)) (|isDomain| *3 (|Integer|))
+ (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|Multiset| *4))))
((*1 *1 *2 *1 *3)
- (-11 (-5 *2 (-1 (-82) *4)) (-5 *3 (-485)) (-4 *4 (-1014)) (-5 *1 (-676 *4))))
- ((*1 *1 *2 *1 *3) (-11 (-5 *3 (-485)) (-5 *1 (-676 *2)) (-4 *2 (-1014))))
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Multiset| *2))
+ (|ofCategory| *2 (|SetCategory|))))
((*1 *1 *2 *1)
- (-11 (-5 *2 (-1055 *3 *4)) (-4 *3 (-12 (-1014) (-31)))
- (-4 *4 (-12 (-1014) (-31))) (-5 *1 (-1056 *3 *4)))))
+ (AND (|isDomain| *2 (|SplittingNode| *3 *4))
+ (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))
+ (|isDomain| *1 (|SplittingTree| *3 *4)))))
(((*1 *1 *1 *1 *2 *3)
- (-11 (-5 *2 (-584 (-1055 *4 *5))) (-5 *3 (-1 (-82) *5 *5))
- (-4 *4 (-12 (-1014) (-31))) (-4 *5 (-12 (-1014) (-31)))
- (-5 *1 (-1056 *4 *5))))
+ (AND (|isDomain| *2 (|List| (|SplittingNode| *4 *5)))
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- (-5 *1 (-682 *4 *5 *6 *7)) (-4 *7 (-862 *6 *4 *5))))
- ((*1 *1 *1) (-11 (-4 *1 (-1049 *2)) (-4 *2 (-962)))))
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+ (|:| |exponent| (|Integer|)))))
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+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))))
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+ (|isDomain| *1 (|SortPackage| *4 *2))
+ (|ofCategory| *2
+ (|Join| (|IndexedAggregate| (|Integer|) *4)
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- (-11 (-5 *3 (-1180 *4)) (-4 *4 (-962)) (-4 *2 (-1156 *4))
- (-5 *1 (-384 *4 *2))))
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+ (|isDomain| *3 (|Vector| (|Expression| *5))) (|isDomain| *4 (|Integer|))
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- (-11 (-5 *2 (-349 (-1086 (-264 *3)))) (-4 *3 (-496)) (-5 *1 (-1045 *3)))))
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+ (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *1 (|TransSolvePackageService| *3)))))
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- (-5 *1 (-1044 *5)))))
+ (AND (|isDomain| *3 (|Equation| (|Fraction| (|Polynomial| *5))))
+ (|isDomain| *4 (|Symbol|))
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+ (|isDomain| *2
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+ (|List| (|Equation| (|Expression| *5)))))
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+ (|List| (|Equation| (|Expression| *5)))))
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- (-5 *1 (-1044 *5)))))
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+ (|isDomain| *4 (|Symbol|))
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+ (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *5))))
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+ (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|)))
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+ (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|)))
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- (-11 (-5 *3 (-1149 *5 *4)) (-4 *4 (-392)) (-4 *4 (-741)) (-13 *5 (-1091))
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+ (|Join| (|EuclideanDomain|)
+ (CATEGORY |domain|
+ (SIGNATURE |squareFree| ((|Factored| $) $)))))
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((*1 *2 *3)
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((*1 *2 *3 *3)
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+ (|List|
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(((*1 *2 *3 *3 *4)
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- (-5 *1 (-985 *5 *6 *7 *3 *4)) (-4 *4 (-984 *5 *6 *7 *3)))))
+ (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)))))
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- (-5 *1 (-985 *5 *6 *7 *3 *4)) (-4 *4 (-984 *5 *6 *7 *3)))))
+ (AND (|ofCategory| *5 (|GcdDomain|))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *7 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7))
+ (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4))))
+ (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4))
+ (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))))
(((*1 *2 *3 *3 *4 *5 *5)
- (-11 (-5 *5 (-82)) (-4 *6 (-392)) (-4 *7 (-718)) (-4 *8 (-757))
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- (-5 *1 (-985 *6 *7 *8 *3 *4)) (-4 *4 (-984 *6 *7 *8 *3))))
+ (AND (|isDomain| *5 (|Boolean|)) (|ofCategory| *6 (|GcdDomain|))
+ (|ofCategory| *7 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *8 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8))
+ (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4))))
+ (|isDomain| *1 (|RegularTriangularSetGcdPackage| *6 *7 *8 *3 *4))
+ (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *3))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-584 (-2 (|:| |val| (-584 *8)) (|:| -1601 *9)))) (-5 *5 (-82))
- (-4 *8 (-978 *6 *7 *4)) (-4 *9 (-984 *6 *7 *4 *8)) (-4 *6 (-392))
- (-4 *7 (-718)) (-4 *4 (-757))
- (-5 *2 (-584 (-2 (|:| |val| *8) (|:| -1601 *9))))
- (-5 *1 (-985 *6 *7 *4 *8 *9)))))
+ (AND
+ (|isDomain| *3 (|List| (|Record| (|:| |val| (|List| *8)) (|:| |tower| *9))))
+ (|isDomain| *5 (|Boolean|))
+ (|ofCategory| *8 (|RecursivePolynomialCategory| *6 *7 *4))
+ (|ofCategory| *9 (|RegularTriangularSetCategory| *6 *7 *4 *8))
+ (|ofCategory| *6 (|GcdDomain|))
+ (|ofCategory| *7 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|))
+ (|isDomain| *2 (|List| (|Record| (|:| |val| *8) (|:| |tower| *9))))
+ (|isDomain| *1 (|RegularTriangularSetGcdPackage| *6 *7 *4 *8 *9)))))
(((*1 *2 *3 *3 *4)
- (-11 (-4 *5 (-392)) (-4 *6 (-718)) (-4 *7 (-757)) (-4 *3 (-978 *5 *6 *7))
- (-5 *2 (-584 (-2 (|:| |val| (-584 *3)) (|:| -1601 *4))))
- (-5 *1 (-985 *5 *6 *7 *3 *4)) (-4 *4 (-984 *5 *6 *7 *3)))))
+ (AND (|ofCategory| *5 (|GcdDomain|))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *7 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7))
+ (|isDomain| *2
+ (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4))))
+ (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4))
+ (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-984 *3 *4 *5 *6)) (-4 *3 (-392)) (-4 *4 (-718)) (-4 *5 (-757))
- (-4 *6 (-978 *3 *4 *5)) (-5 *2 (-82))))
+ (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)
- (-11 (-4 *1 (-984 *4 *5 *6 *3)) (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757))
- (-4 *3 (-978 *4 *5 *6)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))
+ (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *3 *1)
- (-11 (-4 *1 (-984 *4 *5 *6 *3)) (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757))
- (-4 *3 (-978 *4 *5 *6)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))
+ (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *3 *1)
- (-11 (-4 *1 (-984 *4 *5 *6 *3)) (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757))
- (-4 *3 (-978 *4 *5 *6)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))
+ (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *3 *1)
- (-11 (-4 *1 (-984 *4 *5 *6 *3)) (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757))
- (-4 *3 (-978 *4 *5 *6)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))
+ (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *3 *1)
- (-11 (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))
- (-5 *2 (-3 (-82) (-584 *1))) (-4 *1 (-984 *4 *5 *6 *3)))))
+ (AND (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|Union| (|Boolean|) (|List| *1)))
+ (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))))
(((*1 *2 *3 *1)
- (-11 (-4 *1 (-984 *4 *5 *6 *3)) (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757))
- (-4 *3 (-978 *4 *5 *6)) (-5 *2 (-82))))
+ (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))
+ (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|Boolean|))))
((*1 *2 *3 *1)
- (-11 (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))
- (-5 *2 (-584 (-2 (|:| |val| (-82)) (|:| -1601 *1))))
- (-4 *1 (-984 *4 *5 *6 *3)))))
+ (AND (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2
+ (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *1))))
+ (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))))
(((*1 *2 *3 *1)
- (-11 (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))
- (-5 *2 (-584 *1)) (-4 *1 (-984 *4 *5 *6 *3)))))
+ (AND (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))))
(((*1 *2 *3 *3 *1)
- (-11 (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))
- (-5 *2 (-3 *3 (-584 *1))) (-4 *1 (-984 *4 *5 *6 *3)))))
-(((*1 *1 *1 *1) (-11 (-5 *1 (-705 *2)) (-4 *2 (-496)) (-4 *2 (-962))))
- ((*1 *2 *2 *2) (-11 (-4 *3 (-496)) (-5 *1 (-883 *3 *2)) (-4 *2 (-1156 *3))))
+ (AND (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|Union| *3 (|List| *1)))
+ (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))))
+(((*1 *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)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))
((*1 *2 *3 *3 *1)
- (-11 (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))
- (-5 *2 (-584 (-2 (|:| |val| *3) (|:| -1601 *1))))
- (-4 *1 (-984 *4 *5 *6 *3)))))
+ (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 *2)
- (-11 (-5 *2 (-584 *1)) (-5 *3 (-584 *7)) (-4 *1 (-984 *4 *5 *6 *7))
- (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *7 (-978 *4 *5 *6))))
+ (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)
- (-11 (-5 *3 (-584 *7)) (-4 *7 (-978 *4 *5 *6)) (-4 *4 (-392)) (-4 *5 (-718))
- (-4 *6 (-757)) (-5 *2 (-584 *1)) (-4 *1 (-984 *4 *5 *6 *7))))
+ (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)
- (-11 (-5 *2 (-584 *1)) (-4 *1 (-984 *4 *5 *6 *3)) (-4 *4 (-392))
- (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))))
+ (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)
- (-11 (-4 *4 (-392)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *3 (-978 *4 *5 *6))
- (-5 *2 (-584 *1)) (-4 *1 (-984 *4 *5 *6 *3)))))
-(((*1 *2 *1) (-11 (-4 *1 (-20)) (-5 *2 (-82))))
- ((*1 *2 *1) (-11 (-5 *2 (-82)) (-5 *1 (-52))))
+ (AND (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|AbelianMonoid|)) (|isDomain| *2 (|Boolean|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Arity|))))
((*1 *2 *1)
- (-11 (-4 *3 (-311)) (-4 *4 (-718)) (-4 *5 (-757)) (-5 *2 (-82))
- (-5 *1 (-444 *3 *4 *5 *6)) (-4 *6 (-862 *3 *4 *5))))
+ (AND (|ofCategory| *3 (|Field|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6))
+ (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))))
((*1 *2 *3 *1)
- (-11 (-4 *1 (-981 *4 *3)) (-4 *4 (-12 (-756) (-311))) (-4 *3 (-1156 *4))
- (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3))
+ (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|)))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-494 *3)) (-4 *3 (-12 (-346) (-1116))) (-5 *2 (-82))))
- ((*1 *2 *1) (-11 (-4 *1 (-715)) (-5 *2 (-82))))
+ (AND (|ofCategory| *1 (|IntervalCategory| *3))
+ (|ofCategory| *3
+ (|Join| (|FloatingPointSystem|)
+ (|TranscendentalFunctionCategory|)))
+ (|isDomain| *2 (|Boolean|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|OrderedAbelianGroup|)) (|isDomain| *2 (|Boolean|))))
((*1 *2 *3 *1)
- (-11 (-4 *1 (-981 *4 *3)) (-4 *4 (-12 (-756) (-311))) (-4 *3 (-1156 *4))
- (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3))
+ (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|)))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-494 *3)) (-4 *3 (-12 (-346) (-1116))) (-5 *2 (-82))))
- ((*1 *2 *1) (-11 (-4 *1 (-717)) (-5 *2 (-82))))
+ (AND (|ofCategory| *1 (|IntervalCategory| *3))
+ (|ofCategory| *3
+ (|Join| (|FloatingPointSystem|)
+ (|TranscendentalFunctionCategory|)))
+ (|isDomain| *2 (|Boolean|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|))))
((*1 *2 *3 *1)
- (-11 (-4 *1 (-981 *4 *3)) (-4 *4 (-12 (-756) (-311))) (-4 *3 (-1156 *4))
- (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3))
+ (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|)))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *2)
- (-11 (-4 *3 (-951 (-485))) (-4 *3 (-496)) (-5 *1 (-29 *3 *2))
- (-4 *2 (-363 *3))))
+ (AND (|ofCategory| *3 (|RetractableTo| (|Integer|)))
+ (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *1 (|AlgebraicFunction| *3 *2))
+ (|ofCategory| *2 (|FunctionSpace| *3))))
((*1 *2)
- (-11 (-4 *4 (-145)) (-5 *2 (-1086 *4)) (-5 *1 (-137 *3 *4))
- (-4 *3 (-138 *4))))
- ((*1 *1 *1) (-11 (-4 *1 (-962)) (-4 *1 (-253))))
- ((*1 *2) (-11 (-4 *1 (-279 *3)) (-4 *3 (-311)) (-5 *2 (-1086 *3))))
- ((*1 *2) (-11 (-4 *1 (-662 *3 *2)) (-4 *3 (-145)) (-4 *2 (-1156 *3))))
- ((*1 *2 *1)
- (-11 (-4 *1 (-981 *3 *2)) (-4 *3 (-12 (-756) (-311))) (-4 *2 (-1156 *3)))))
-(((*1 *2 *3) (-11 (-5 *3 (-858 (-485))) (-5 *2 (-584 *1)) (-4 *1 (-926))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-858 (-349 (-485)))) (-5 *2 (-584 *1)) (-4 *1 (-926))))
- ((*1 *2 *3) (-11 (-5 *3 (-858 *1)) (-4 *1 (-926)) (-5 *2 (-584 *1))))
- ((*1 *2 *3) (-11 (-5 *3 (-1086 (-485))) (-5 *2 (-584 *1)) (-4 *1 (-926))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-1086 (-349 (-485)))) (-5 *2 (-584 *1)) (-4 *1 (-926))))
- ((*1 *2 *3) (-11 (-5 *3 (-1086 *1)) (-4 *1 (-926)) (-5 *2 (-584 *1))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-12 (-756) (-311))) (-4 *3 (-1156 *4)) (-5 *2 (-584 *1))
- (-4 *1 (-981 *4 *3)))))
-(((*1 *1 *2 *3) (-11 (-5 *2 (-1086 *1)) (-5 *3 (-1091)) (-4 *1 (-24))))
- ((*1 *1 *2) (-11 (-5 *2 (-1086 *1)) (-4 *1 (-24))))
- ((*1 *1 *2) (-11 (-5 *2 (-858 *1)) (-4 *1 (-24))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-1091)) (-4 *1 (-26 *3)) (-4 *3 (-496))))
- ((*1 *1 *1) (-11 (-4 *1 (-26 *2)) (-4 *2 (-496))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-1086 *2)) (-5 *4 (-1091)) (-4 *2 (-363 *5)) (-5 *1 (-29 *5 *2))
- (-4 *5 (-496))))
+ (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 (|ofCategory| *1 (|RealRootCharacterizationCategory| *3 *2))
+ (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|)))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))))
+(((*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 *1 *2 *3)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|isDomain| *3 (|Symbol|))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Polynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))))
+ ((*1 *1 *1 *2)
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+ (AND (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *2))
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+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *2))
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- (|partial| -11 (-5 *2 (-1086 *1)) (-5 *3 (-831)) (-4 *1 (-926))))
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- (|partial| -11 (-5 *2 (-1086 *1)) (-5 *3 (-831)) (-5 *4 (-773))
- (-4 *1 (-926))))
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+ (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|OutputForm|))
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- (|partial| -11 (-5 *3 (-831)) (-4 *4 (-12 (-756) (-311)))
- (-4 *1 (-981 *4 *2)) (-4 *2 (-1156 *4)))))
+ (|partial| AND (|isDomain| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|)))
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(((*1 *2 *1 *1)
- (-11 (-5 *2 (-349 (-485))) (-5 *1 (-938 *3))
- (-4 *3 (-12 (-756) (-311) (-934)))))
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+ (|isDomain| *1 (|RealClosure| *3))
+ (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|) (|RealConstant|)))))
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+ (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|)))
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- ((*1 *2 *1) (-11 (-5 *2 (-584 (-1050))) (-5 *1 (-979)))))
+ (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *2 *3))
+ (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|)))
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- (-11 (-4 *1 (-890 *3 *4 *2 *5)) (-4 *3 (-962)) (-4 *4 (-718))
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- (-11 (-4 *1 (-978 *3 *4 *2)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *2 (-757)))))
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+ (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *2 *5))
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+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2))
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+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
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- ((*1 *1 *1) (-11 (-4 *1 (-201 *2)) (-4 *2 (-1130))))
- ((*1 *2 *1) (-11 (-5 *2 (-423)) (-5 *1 (-618))))
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- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757)))))
+ (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2))
+ (|ofCategory| *2 (|Type|))))
+ ((*1 *2 *1) (AND (|isDomain| *2 (|HeadAst|)) (|isDomain| *1 (|MacroAst|))))
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+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
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- (-11 (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757)) (-5 *2 (-584 *1))
- (-4 *1 (-978 *3 *4 *5)))))
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+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1))
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- ((*1 *2 *1) (-11 (-4 *2 (-962)) (-5 *1 (-47 *2 *3)) (-13 *3 (-584 (-1091)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
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+ (|ofCategory| *4 (|OrderedSet|)))))
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+ (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3))
+ (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|))))
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+ (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|AntiSymm| *2 *3))
+ (|ofType| *3 (|List| (|Symbol|)))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Expression| *3))
+ (|isDomain| *1 (|DeRhamComplex| *3 *4))
+ (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|)))
+ (|ofType| *4 (|List| (|Symbol|)))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Ring|))))
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- (-13 *4 (-584 (-1091)))))
- ((*1 *2 *1) (-11 (-4 *1 (-334 *2 *3)) (-4 *3 (-1014)) (-4 *2 (-962))))
+ (AND (|ofType| *3 (|List| (|Symbol|)))
+ (|ofCategory| *5
+ (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|)))
+ (|ofType| *6
+ (|Mapping| (|Boolean|) (|Record| (|:| |index| *4) (|:| |exponent| *5))
+ (|Record| (|:| |index| *4) (|:| |exponent| *5))))
+ (|ofCategory| *2 (|CommutativeRing|))
+ (|isDomain| *1 (|GeneralModulePolynomial| *3 *2 *4 *5 *6 *7))
+ (|ofCategory| *4 (|OrderedSet|))
+ (|ofCategory| *7
+ (|PolynomialCategory| *2 *5 (|OrderedVariableList| *3)))))
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- ((*1 *2 *1) (-11 (-4 *1 (-646 *2)) (-4 *2 (-962))))
+ (AND (|ofCategory| *1 (|IndexedDirectProductCategory| *2 *3))
+ (|ofCategory| *3 (|OrderedType|)) (|ofCategory| *2 (|BasicType|))))
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+ (|isDomain| *1 (|LaurentPolynomial| *2 *3))
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((*1 *2 *1)
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+ (|ofCategory| *2 (|Ring|))))
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+ (|ofCategory| *2 (|Ring|))))
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((*1 *1 *1 *2)
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- (-5 *2 (-82)))))
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- (-11 (-4 *1 (-978 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
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(((*1 *1 *1 *1 *2)
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((*1 *1 *1 *1)
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((*1 *1 *1 *1)
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((*1 *1 *1 *1)
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- (-5 *1 (-705 *3)) (-4 *3 (-962))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |polnum| (|NewSparseUnivariatePolynomial| *3))
+ (|:| |polden| *3) (|:| |power| (|NonNegativeInteger|))))
+ (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3))
+ (|ofCategory| *3 (|Ring|))))
((*1 *2 *1 *1)
- (-11 (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-2 (|:| |polnum| *1) (|:| |polden| *1) (|:| -3484 (-695))))
- (-4 *1 (-978 *3 *4 *5)))))
-(((*1 *2 *3) (|partial| -11 (-5 *3 (-48)) (-5 *1 (-49 *2)) (-4 *2 (-1130))))
+ (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 *3)
+ (|partial| AND (|isDomain| *3 (|Any|)) (|isDomain| *1 (|AnyFunctions1| *2))
+ (|ofCategory| *2 (|Type|))))
((*1 *2 *3)
- (|partial| -11 (-4 *4 (-298)) (-4 *5 (-279 *4)) (-4 *6 (-1156 *5))
- (-5 *2 (-1086 (-1086 *4))) (-5 *1 (-701 *4 *5 *6 *3 *7)) (-4 *3 (-1156 *6))
- (-13 *7 (-831))))
+ (|partial| AND (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|ofCategory| *5 (|FiniteAlgebraicExtensionField| *4))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|isDomain| *2
+ (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))
+ (|isDomain| *1 (|NormRetractPackage| *4 *5 *6 *3 *7))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *6))
+ (|ofType| *7 (|PositiveInteger|))))
((*1 *1 *2)
- (|partial| -11 (-5 *2 (-584 *6)) (-4 *6 (-978 *3 *4 *5)) (-4 *3 (-962))
- (-4 *4 (-718)) (-4 *5 (-757)) (-4 *1 (-890 *3 *4 *5 *6))))
- ((*1 *2 *1) (|partial| -11 (-4 *1 (-951 *2)) (-4 *2 (-1130))))
+ (|partial| AND (|isDomain| *2 (|List| *6))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6))))
+ ((*1 *2 *1)
+ (|partial| AND (|ofCategory| *1 (|RetractableTo| *2))
+ (|ofCategory| *2 (|Type|))))
((*1 *1 *2)
(|partial| OR
- (-11 (-5 *2 (-858 *3))
- (-11 (-2563 (-4 *3 (-35 (-349 (-485))))) (-2563 (-4 *3 (-35 (-485))))
- (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *1 (-978 *3 *4 *5)) (-4 *4 (-718)) (-4 *5 (-757)))
- (-11 (-5 *2 (-858 *3))
- (-11 (-2563 (-4 *3 (-484))) (-2563 (-4 *3 (-35 (-349 (-485)))))
- (-4 *3 (-35 (-485))) (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *1 (-978 *3 *4 *5)) (-4 *4 (-718)) (-4 *5 (-757)))
- (-11 (-5 *2 (-858 *3))
- (-11 (-2563 (-4 *3 (-905 (-485)))) (-4 *3 (-35 (-349 (-485))))
- (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *1 (-978 *3 *4 *5)) (-4 *4 (-718)) (-4 *5 (-757)))))
+ (AND #1=(|isDomain| *2 (|Polynomial| *3))
+ (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))
+ (|not| (|ofCategory| *3 (|Algebra| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #2=((|ofCategory| *3 (|Ring|))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))))
+ (AND #1#
+ (AND (|not| (|ofCategory| *3 (|IntegerNumberSystem|)))
+ (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))
+ (|ofCategory| *3 (|Algebra| (|Integer|)))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #2#)
+ (AND #1#
+ (AND (|not| (|ofCategory| *3 (|QuotientFieldCategory| (|Integer|))))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #2#)))
((*1 *1 *2)
(|partial| OR
- (-11 (-5 *2 (-858 (-485))) (-4 *1 (-978 *3 *4 *5))
- (-11 (-2563 (-4 *3 (-35 (-349 (-485))))) (-4 *3 (-35 (-485)))
- (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757)))
- (-11 (-5 *2 (-858 (-485))) (-4 *1 (-978 *3 *4 *5))
- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *5 (-554 (-1091)))) (-4 *3 (-962))
- (-4 *4 (-718)) (-4 *5 (-757)))))
- ((*1 *1 *2)
- (|partial| -11 (-5 *2 (-858 (-349 (-485)))) (-4 *1 (-978 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *5 (-554 (-1091))) (-4 *3 (-962))
- (-4 *4 (-718)) (-4 *5 (-757)))))
-(((*1 *2 *3) (-11 (-5 *3 (-48)) (-5 *1 (-49 *2)) (-4 *2 (-1130))))
- ((*1 *1 *2)
- (-11 (-5 *2 (-584 *6)) (-4 *6 (-978 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-718))
- (-4 *5 (-757)) (-4 *1 (-890 *3 *4 *5 *6))))
- ((*1 *2 *1) (-11 (-4 *1 (-951 *2)) (-4 *2 (-1130))))
+ (AND #3=(|isDomain| *2 (|Polynomial| (|Integer|)))
+ #4=(|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))
+ (|ofCategory| *3 (|Algebra| (|Integer|)))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #5=((|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))))
+ (AND #3# #4#
+ (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #5#)))
+ ((*1 *1 *2)
+ (|partial| AND (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|))))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Any|)) (|isDomain| *1 (|AnyFunctions1| *2))
+ (|ofCategory| *2 (|Type|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *6))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|RetractableTo| *2)) (|ofCategory| *2 (|Type|))))
((*1 *1 *2)
(OR
- (-11 (-5 *2 (-858 *3))
- (-11 (-2563 (-4 *3 (-35 (-349 (-485))))) (-2563 (-4 *3 (-35 (-485))))
- (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *1 (-978 *3 *4 *5)) (-4 *4 (-718)) (-4 *5 (-757)))
- (-11 (-5 *2 (-858 *3))
- (-11 (-2563 (-4 *3 (-484))) (-2563 (-4 *3 (-35 (-349 (-485)))))
- (-4 *3 (-35 (-485))) (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *1 (-978 *3 *4 *5)) (-4 *4 (-718)) (-4 *5 (-757)))
- (-11 (-5 *2 (-858 *3))
- (-11 (-2563 (-4 *3 (-905 (-485)))) (-4 *3 (-35 (-349 (-485))))
- (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *1 (-978 *3 *4 *5)) (-4 *4 (-718)) (-4 *5 (-757)))))
+ (AND #1=(|isDomain| *2 (|Polynomial| *3))
+ (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))
+ (|not| (|ofCategory| *3 (|Algebra| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #2=((|ofCategory| *3 (|Ring|))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))))
+ (AND #1#
+ (AND (|not| (|ofCategory| *3 (|IntegerNumberSystem|)))
+ (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))
+ (|ofCategory| *3 (|Algebra| (|Integer|)))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #2#)
+ (AND #1#
+ (AND (|not| (|ofCategory| *3 (|QuotientFieldCategory| (|Integer|))))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #2#)))
((*1 *1 *2)
(OR
- (-11 (-5 *2 (-858 (-485))) (-4 *1 (-978 *3 *4 *5))
- (-11 (-2563 (-4 *3 (-35 (-349 (-485))))) (-4 *3 (-35 (-485)))
- (-4 *5 (-554 (-1091))))
- (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757)))
- (-11 (-5 *2 (-858 (-485))) (-4 *1 (-978 *3 *4 *5))
- (-11 (-4 *3 (-35 (-349 (-485)))) (-4 *5 (-554 (-1091)))) (-4 *3 (-962))
- (-4 *4 (-718)) (-4 *5 (-757)))))
- ((*1 *1 *2)
- (-11 (-5 *2 (-858 (-349 (-485)))) (-4 *1 (-978 *3 *4 *5))
- (-4 *3 (-35 (-349 (-485)))) (-4 *5 (-554 (-1091))) (-4 *3 (-962))
- (-4 *4 (-718)) (-4 *5 (-757)))))
+ (AND #3=(|isDomain| *2 (|Polynomial| (|Integer|)))
+ #4=(|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (AND (|not| (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))))
+ (|ofCategory| *3 (|Algebra| (|Integer|)))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #5=((|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))))
+ (AND #3# #4#
+ (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|))))
+ . #5#)))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|))))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|))))
+ (|ofCategory| *5 (|ConvertibleTo| (|Symbol|)))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)))))
(((*1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))
((*1 *1 *1 *2)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))
((*1 *1 *1 *2)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *2 *1 *1)
- (-11
- (-5 *2
- (-2 (|:| -3147 (-705 *3)) (|:| |coef1| (-705 *3)) (|:| |coef2| (-705 *3))))
- (-5 *1 (-705 *3)) (-4 *3 (-496)) (-4 *3 (-962))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |gcd| #1=(|NewSparseUnivariatePolynomial| *3))
+ (|:| |coef1| #1#) (|:| |coef2| #1#)))
+ (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3))
+ (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))
((*1 *2 *1 *1)
- (-11 (-4 *3 (-496)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-2 (|:| -3147 *1) (|:| |coef1| *1) (|:| |coef2| *1)))
- (-4 *1 (-978 *3 *4 *5)))))
+ (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 *1 *1)
- (-11 (-5 *2 (-2 (|:| -3147 (-705 *3)) (|:| |coef1| (-705 *3))))
- (-5 *1 (-705 *3)) (-4 *3 (-496)) (-4 *3 (-962))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |gcd| #1=(|NewSparseUnivariatePolynomial| *3))
+ (|:| |coef1| #1#)))
+ (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3))
+ (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))
((*1 *2 *1 *1)
- (-11 (-4 *3 (-496)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-2 (|:| -3147 *1) (|:| |coef1| *1))) (-4 *1 (-978 *3 *4 *5)))))
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|isDomain| *2 (|Record| (|:| |gcd| *1) (|:| |coef1| *1)))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)))))
(((*1 *2 *1 *1)
- (-11 (-5 *2 (-2 (|:| -3147 (-705 *3)) (|:| |coef2| (-705 *3))))
- (-5 *1 (-705 *3)) (-4 *3 (-496)) (-4 *3 (-962))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |gcd| #1=(|NewSparseUnivariatePolynomial| *3))
+ (|:| |coef2| #1#)))
+ (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3))
+ (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))
((*1 *2 *1 *1)
- (-11 (-4 *3 (-496)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-2 (|:| -3147 *1) (|:| |coef2| *1))) (-4 *1 (-978 *3 *4 *5)))))
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|isDomain| *2 (|Record| (|:| |gcd| *1) (|:| |coef2| *1)))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)))))
(((*1 *2 *1 *1)
- (-11 (-4 *3 (-496)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-584 *1)) (-4 *1 (-978 *3 *4 *5)))))
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)))))
(((*1 *1 *1 *1 *2)
- (-11 (-5 *2 (-695)) (-4 *1 (-978 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-718))
- (-4 *5 (-757)) (-4 *3 (-496)))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *3 (|IntegralDomain|)))))
(((*1 *1 *1 *1 *1 *2)
- (-11 (-5 *2 (-695)) (-4 *1 (-978 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-718))
- (-4 *5 (-757)) (-4 *3 (-496)))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *3 (|IntegralDomain|)))))
(((*1 *1 *1 *1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-496)))))
-(((*1 *1 *2) (-11 (-5 *2 (-584 *1)) (-4 *1 (-392))))
- ((*1 *1 *1 *1) (-4 *1 (-392)))
- ((*1 *2 *3) (-11 (-5 *3 (-584 *2)) (-5 *1 (-426 *2)) (-4 *2 (-1156 (-485)))))
- ((*1 *2 *2 *2 *3) (-11 (-5 *3 (-485)) (-5 *1 (-636 *2)) (-4 *2 (-1156 *3))))
- ((*1 *1 *1 *1) (-5 *1 (-695)))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|GcdDomain|))))
+ ((*1 *1 *1 *1) (|ofCategory| *1 (|GcdDomain|)))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|HeuGcd| *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|)))))
+ ((*1 *2 *2 *2 *3)
+ (AND (|isDomain| *3 (|Integer|))
+ (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|NonNegativeInteger|)))
((*1 *2 *2 *2)
- (-11 (-4 *3 (-718)) (-4 *4 (-757)) (-4 *5 (-257)) (-5 *1 (-828 *3 *4 *5 *2))
- (-4 *2 (-862 *5 *3 *4))))
+ (AND (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|EuclideanDomain|))
+ (|isDomain| *1 (|PolynomialGcdPackage| *3 *4 *5 *2))
+ (|ofCategory| *2 (|PolynomialCategory| *5 *3 *4))))
((*1 *2 *3)
- (-11 (-5 *3 (-584 *2)) (-4 *2 (-862 *6 *4 *5)) (-5 *1 (-828 *4 *5 *6 *2))
- (-4 *4 (-718)) (-4 *5 (-757)) (-4 *6 (-257))))
+ (AND (|isDomain| *3 (|List| *2))
+ (|ofCategory| *2 (|PolynomialCategory| *6 *4 *5))
+ (|isDomain| *1 (|PolynomialGcdPackage| *4 *5 *6 *2))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|))))
((*1 *2 *2 *2)
- (-11 (-5 *2 (-1086 *6)) (-4 *6 (-862 *5 *3 *4)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *5 (-257)) (-5 *1 (-828 *3 *4 *5 *6))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *6))
+ (|ofCategory| *6 (|PolynomialCategory| *5 *3 *4))
+ (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|EuclideanDomain|))
+ (|isDomain| *1 (|PolynomialGcdPackage| *3 *4 *5 *6))))
((*1 *2 *3)
- (-11 (-5 *3 (-584 (-1086 *7))) (-4 *4 (-718)) (-4 *5 (-757)) (-4 *6 (-257))
- (-5 *2 (-1086 *7)) (-5 *1 (-828 *4 *5 *6 *7)) (-4 *7 (-862 *6 *4 *5))))
- ((*1 *1 *1 *1) (-5 *1 (-831)))
+ (AND (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| *7)))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| *7))
+ (|isDomain| *1 (|PolynomialGcdPackage| *4 *5 *6 *7))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|PositiveInteger|)))
((*1 *2 *2 *2)
- (-11 (-4 *3 (-392)) (-4 *3 (-496)) (-5 *1 (-883 *3 *2)) (-4 *2 (-1156 *3))))
+ (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *1 (|PseudoRemainderSequence| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
((*1 *2 *2 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-392)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|)))))
(((*1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-392)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|)))))
(((*1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-392)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|)))))
(((*1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-392)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|)))))
(((*1 *1 *1)
- (-11 (-4 *1 (-978 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-718)) (-4 *4 (-757))
- (-4 *2 (-392)))))
-(((*1 *1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-976))))
- ((*1 *1 *2) (-11 (-5 *2 (-1091)) (-5 *1 (-976)))))
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- ((*1 *1 *1) (-11 (-5 *1 (-615 *2)) (-4 *2 (-757))))
- ((*1 *1 *1) (-11 (-5 *1 (-619 *2)) (-4 *2 (-757))))
- ((*1 *1 *1) (-5 *1 (-773)))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-773))))
- ((*1 *2 *1)
- (-11 (-4 *2 (-12 (-756) (-311))) (-5 *1 (-975 *2 *3)) (-4 *3 (-1156 *2)))))
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- ((*1 *1 *1) (-11 (-5 *1 (-615 *2)) (-4 *2 (-757))))
- ((*1 *1 *1) (-11 (-5 *1 (-619 *2)) (-4 *2 (-757))))
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- ((*1 *2 *1)
- (-11 (-4 *2 (-12 (-756) (-311))) (-5 *1 (-975 *2 *3)) (-4 *3 (-1156 *2)))))
+ (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RomanNumeral|))))
+ ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RomanNumeral|)))))
+(((*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 *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)
- (-11 (-13 *4 *2) (-4 *5 (-1130)) (-5 *2 (-695)) (-5 *1 (-194 *3 *4 *5))
- (-4 *3 (-195 *4 *5))))
+ (AND (|ofType| *4 *2) (|ofCategory| *5 (|Type|))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|DirectProductCategory&| *3 *4 *5))
+ (|ofCategory| *3 (|DirectProductCategory| *4 *5))))
((*1 *2 *1)
- (-11 (-4 *1 (-273 *3 *4)) (-4 *3 (-1014)) (-4 *4 (-101)) (-5 *2 (-695))))
+ (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *4))
+ (|ofCategory| *3 (|SetCategory|))
+ (|ofCategory| *4 (|CancellationAbelianMonoid|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
((*1 *2)
- (-11 (-4 *4 (-311)) (-5 *2 (-695)) (-5 *1 (-278 *3 *4)) (-4 *3 (-279 *4))))
- ((*1 *2 *1) (-11 (-5 *2 (-695)) (-5 *1 (-309 *3)) (-4 *3 (-1014))))
- ((*1 *2) (-11 (-4 *1 (-319)) (-5 *2 (-695))))
- ((*1 *2 *1) (-11 (-4 *1 (-335 *3)) (-4 *3 (-1014)) (-5 *2 (-695))))
+ (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|FiniteAlgebraicExtensionField&| *3 *4))
+ (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FreeGroup| *3))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2)
- (-11 (-4 *4 (-1014)) (-5 *2 (-695)) (-5 *1 (-367 *3 *4)) (-4 *3 (-368 *4))))
+ (AND (|ofCategory| *1 (|Finite|)) (|isDomain| *2 (|NonNegativeInteger|))))
((*1 *2 *1)
- (-11 (-5 *2 (-695)) (-5 *1 (-592 *3 *4 *5)) (-4 *3 (-1014)) (-4 *4 (-20))
- (-13 *5 *4)))
+ (AND (|ofCategory| *1 (|FreeMonoidCategory| *3))
+ (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2)
+ (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|FiniteSetAggregate&| *3 *4))
+ (|ofCategory| *3 (|FiniteSetAggregate| *4))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|ListMonoidOps| *3 *4 *5))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|))
+ (|ofType| *5 *4)))
+ ((*1 *2)
+ (AND (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|MonogenicAlgebra&| *3 *4 *5))
+ (|ofCategory| *3 (|MonogenicAlgebra| *4 *5))))
((*1 *2)
- (-11 (-4 *4 (-145)) (-4 *5 (-1156 *4)) (-5 *2 (-695)) (-5 *1 (-661 *3 *4 *5))
- (-4 *3 (-662 *4 *5))))
- ((*1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-920))))
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|))))
((*1 *2 *1)
- (-11 (-4 *2 (-12 (-756) (-311))) (-5 *1 (-975 *2 *3)) (-4 *3 (-1156 *2)))))
+ (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|)))
+ (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))))
(((*1 *2 *1)
- (-11 (-4 *2 (-12 (-756) (-311))) (-5 *1 (-975 *2 *3)) (-4 *3 (-1156 *2)))))
-(((*1 *1 *1 *2) (-11 (-5 *2 (-178)) (-5 *1 (-27))))
+ (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|)))
+ (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))))
+(((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|DoubleFloat|))
+ (|isDomain| *1 (|PlaneAlgebraicCurvePlot|))))
((*1 *2 *2 *3)
- (-11 (-5 *3 (-1 (-347 *4) *4)) (-4 *4 (-496)) (-5 *2 (-347 *4))
- (-5 *1 (-361 *4))))
- ((*1 *1 *1) (-5 *1 (-837)))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-1002 (-178))) (-5 *1 (-837))))
- ((*1 *1 *1) (-5 *1 (-839)))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-1002 (-178))) (-5 *1 (-839))))
+ (AND (|isDomain| *3 (|Mapping| (|Factored| *4) *4))
+ (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Factored| *4))
+ (|isDomain| *1 (|FactoredFunctionUtilities| *4))))
+ ((*1 *1 *1) (|isDomain| *1 (|Plot|)))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|))))
+ ((*1 *1 *1) (|isDomain| *1 (|Plot3D|)))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot3D|))))
((*1 *2 *3 *2 *4)
- (-11 (-5 *2 (-2 (|:| -3141 (-349 (-485))) (|:| -3140 (-349 (-485)))))
- (-5 *4 (-349 (-485))) (-5 *1 (-935 *3)) (-4 *3 (-1156 (-485)))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |left| #1=(|Fraction| (|Integer|))) (|:| |right| #1#)))
+ (|isDomain| *4 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|RealZeroPackage| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))
((*1 *2 *3 *2 *2)
- (|partial| -11
- (-5 *2 (-2 (|:| -3141 (-349 (-485))) (|:| -3140 (-349 (-485)))))
- (-5 *1 (-935 *3)) (-4 *3 (-1156 (-485)))))
+ (|partial| AND
+ (|isDomain| *2
+ (|Record| (|:| |left| (|Fraction| (|Integer|)))
+ (|:| |right| (|Fraction| (|Integer|)))))
+ (|isDomain| *1 (|RealZeroPackage| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))
((*1 *2 *3 *2 *4)
- (-11 (-5 *2 (-2 (|:| -3141 (-349 (-485))) (|:| -3140 (-349 (-485)))))
- (-5 *4 (-349 (-485))) (-5 *1 (-936 *3)) (-4 *3 (-1156 *4))))
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |left| #2=(|Fraction| (|Integer|))) (|:| |right| #2#)))
+ (|isDomain| *4 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|RealZeroPackageQ| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))
((*1 *2 *3 *2 *2)
- (|partial| -11
- (-5 *2 (-2 (|:| -3141 (-349 (-485))) (|:| -3140 (-349 (-485)))))
- (-5 *1 (-936 *3)) (-4 *3 (-1156 (-349 (-485))))))
+ (|partial| AND
+ (|isDomain| *2
+ (|Record| (|:| |left| (|Fraction| (|Integer|)))
+ (|:| |right| (|Fraction| (|Integer|)))))
+ (|isDomain| *1 (|RealZeroPackageQ| *3))
+ (|ofCategory| *3
+ (|UnivariatePolynomialCategory| (|Fraction| (|Integer|))))))
((*1 *1 *1)
- (-11 (-4 *2 (-12 (-756) (-311))) (-5 *1 (-975 *2 *3)) (-4 *3 (-1156 *2)))))
+ (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|)))
+ (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))))
(((*1 *2 *3 *1)
- (-11 (-4 *4 (-12 (-756) (-311))) (-5 *2 (-82)) (-5 *1 (-975 *4 *3))
- (-4 *3 (-1156 *4)))))
-(((*1 *1 *1 *2) (-11 (-5 *2 (-584 (-551 (-45)))) (-5 *1 (-45))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-551 (-45))) (-5 *1 (-45))))
+ (AND (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|)))
+ (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|List| (|Kernel| (|AlgebraicNumber|))))
+ (|isDomain| *1 (|AlgebraicNumber|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Kernel| (|AlgebraicNumber|)))
+ (|isDomain| *1 (|AlgebraicNumber|))))
((*1 *2 *2 *3)
- (-11 (-5 *2 (-1086 (-45))) (-5 *3 (-584 (-551 (-45)))) (-5 *1 (-45))))
- ((*1 *2 *2 *3) (-11 (-5 *2 (-1086 (-45))) (-5 *3 (-551 (-45))) (-5 *1 (-45))))
- ((*1 *2 *1) (-11 (-4 *1 (-138 *2)) (-4 *2 (-145))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| #1=(|AlgebraicNumber|)))
+ (|isDomain| *3 (|List| (|Kernel| #1#)))
+ (|isDomain| *1 (|AlgebraicNumber|))))
+ ((*1 *2 *2 *3)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| #2=(|AlgebraicNumber|)))
+ (|isDomain| *3 (|Kernel| #2#)) (|isDomain| *1 (|AlgebraicNumber|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|ComplexCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
((*1 *2 *3)
- (-11 (-4 *2 (-12 (-311) (-756))) (-5 *1 (-154 *2 *3))
- (-4 *3 (-1156 (-141 *2)))))
+ (AND (|ofCategory| *2 (|Join| (|Field|) (|OrderedRing|)))
+ (|isDomain| *1 (|ComplexRootFindingPackage| *2 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *2)))))
((*1 *1 *1 *2)
- (-11 (-5 *2 (-831)) (-4 *1 (-279 *3)) (-4 *3 (-311)) (-4 *3 (-319))))
- ((*1 *2 *1) (-11 (-4 *1 (-279 *2)) (-4 *2 (-311))))
- ((*1 *2 *1) (-11 (-4 *1 (-321 *2 *3)) (-4 *3 (-1156 *2)) (-4 *2 (-145))))
+ (AND (|isDomain| *2 (|PositiveInteger|))
+ (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3))
+ (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|))))
((*1 *2 *1)
- (-11 (-4 *4 (-1156 *2)) (-4 *2 (-905 *3)) (-5 *1 (-355 *3 *2 *4 *5))
- (-4 *3 (-257)) (-4 *5 (-12 (-352 *2 *4) (-951 *2)))))
+ (AND (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *2))
+ (|ofCategory| *2 (|Field|))))
((*1 *2 *1)
- (-11 (-4 *4 (-1156 *2)) (-4 *2 (-905 *3)) (-5 *1 (-357 *3 *2 *4 *5 *6))
- (-4 *3 (-257)) (-4 *5 (-352 *2 *4)) (-13 *6 (-1180 *5))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-831)) (-4 *5 (-962))
- (-4 *2 (-12 (-346) (-951 *5) (-311) (-1116) (-238))) (-5 *1 (-383 *5 *3 *2))
- (-4 *3 (-1156 *5))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-584 (-551 (-435)))) (-5 *1 (-435))))
- ((*1 *1 *1 *2) (-11 (-5 *2 (-551 (-435))) (-5 *1 (-435))))
+ (AND (|ofCategory| *1 (|FiniteRankAlgebra| *2 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| *2))
+ (|ofCategory| *2 (|QuotientFieldCategory| *3))
+ (|isDomain| *1 (|FractionalIdeal| *3 *2 *4 *5))
+ (|ofCategory| *3 (|EuclideanDomain|))
+ (|ofCategory| *5
+ (|Join| (|FramedAlgebra| *2 *4) (|RetractableTo| *2)))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| *2))
+ (|ofCategory| *2 (|QuotientFieldCategory| *3))
+ (|isDomain| *1 (|FramedModule| *3 *2 *4 *5 *6))
+ (|ofCategory| *3 (|EuclideanDomain|))
+ (|ofCategory| *5 (|FramedAlgebra| *2 *4)) (|ofType| *6 (|Vector| *5))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|))
+ (|ofCategory| *2
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *5)
+ (|Field|) (|TranscendentalFunctionCategory|)
+ (|ElementaryFunctionCategory|)))
+ (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *5 *3 *2))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|List| (|Kernel| (|InnerAlgebraicNumber|))))
+ (|isDomain| *1 (|InnerAlgebraicNumber|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Kernel| (|InnerAlgebraicNumber|)))
+ (|isDomain| *1 (|InnerAlgebraicNumber|))))
((*1 *2 *2 *3)
- (-11 (-5 *2 (-1086 (-435))) (-5 *3 (-584 (-551 (-435)))) (-5 *1 (-435))))
+ (AND
+ (|isDomain| *2 (|SparseUnivariatePolynomial| #3=(|InnerAlgebraicNumber|)))
+ (|isDomain| *3 (|List| (|Kernel| #3#)))
+ (|isDomain| *1 (|InnerAlgebraicNumber|))))
((*1 *2 *2 *3)
- (-11 (-5 *2 (-1086 (-435))) (-5 *3 (-551 (-435))) (-5 *1 (-435))))
+ (AND
+ (|isDomain| *2 (|SparseUnivariatePolynomial| #4=(|InnerAlgebraicNumber|)))
+ (|isDomain| *3 (|Kernel| #4#)) (|isDomain| *1 (|InnerAlgebraicNumber|))))
((*1 *2 *2 *3)
- (-11 (-5 *2 (-1180 *4)) (-5 *3 (-831)) (-4 *4 (-298)) (-5 *1 (-467 *4))))
- ((*1 *2 *3)
- (-11 (-4 *4 (-392)) (-4 *5 (-662 *4 *2)) (-4 *2 (-1156 *4))
- (-5 *1 (-699 *4 *2 *5 *3)) (-4 *3 (-1156 *5))))
- ((*1 *2 *1) (-11 (-4 *1 (-721 *2)) (-4 *2 (-145))))
- ((*1 *2 *1) (-11 (-4 *1 (-912 *2)) (-4 *2 (-145))))
- ((*1 *1 *1) (-4 *1 (-974))))
-(((*1 *2 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)) (-4 *2 (-484))))
- ((*1 *1 *1) (-4 *1 (-974))))
-(((*1 *2 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)) (-4 *2 (-484))))
- ((*1 *1 *1) (-4 *1 (-974))))
-(((*1 *2 *1) (-11 (-5 *1 (-147 *2)) (-4 *2 (-257))))
- ((*1 *2 *1) (-11 (-5 *1 (-826 *2)) (-4 *2 (-257))))
- ((*1 *2 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)) (-4 *2 (-257))))
- ((*1 *2 *1) (-11 (-4 *1 (-974)) (-5 *2 (-485)))))
-(((*1 *2 *1) (-11 (-5 *2 (-349 (-485))) (-5 *1 (-74))))
- ((*1 *2 *1) (-11 (-5 *2 (-349 (-485))) (-5 *1 (-170))))
- ((*1 *2 *1) (-11 (-5 *2 (-349 (-485))) (-5 *1 (-427))))
- ((*1 *1 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)) (-4 *2 (-257))))
- ((*1 *2 *1) (-11 (-5 *2 (-349 (-485))) (-5 *1 (-918 *3)) (-13 *3 (-485))))
- ((*1 *1 *1) (-4 *1 (-974))))
-(((*1 *1 *1) (-4 *1 (-974))))
+ (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|GcdDomain|))
+ (|ofCategory| *5 (|MonogenicAlgebra| *4 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *1 (|NormInMonogenicAlgebra| *4 *2 *5 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))
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+ (|InnerMatrixQuotientFieldFunctions| *4 *5 *6 *3 *7 *8 *9 *2))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))
+ (|ofCategory| *8 (|FiniteLinearAggregate| *7))
+ (|ofCategory| *9 (|FiniteLinearAggregate| *7))))
((*1 *1 *1)
- (-11 (-4 *1 (-628 *2 *3 *4)) (-4 *2 (-962)) (-4 *3 (-323 *2))
- (-4 *4 (-323 *2)) (-4 *2 (-257))))
+ (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|EuclideanDomain|))))
((*1 *2 *2)
- (-11 (-4 *3 (-257)) (-4 *3 (-145)) (-4 *4 (-323 *3)) (-4 *5 (-323 *3))
- (-5 *1 (-630 *3 *4 *5 *2)) (-4 *2 (-628 *3 *4 *5))))
- ((*1 *2 *2 *3) (-11 (-5 *2 (-631 *3)) (-4 *3 (-257)) (-5 *1 (-639 *3))))
+ (AND (|ofCategory| *3 (|EuclideanDomain|))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *3))
+ (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *4 *5 *2))
+ (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))
+ ((*1 *2 *2 *3)
+ (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|))
+ (|isDomain| *1 (|ModularHermitianRowReduction| *3))))
((*1 *1 *1)
- (-11 (-4 *1 (-966 *2 *3 *4 *5 *6)) (-4 *4 (-962)) (-4 *5 (-195 *3 *4))
- (-4 *6 (-195 *2 *4)) (-4 *4 (-257)))))
+ (AND (|ofCategory| *1 (|RectangularMatrixCategory| *2 *3 *4 *5 *6))
+ (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *5 (|DirectProductCategory| *3 *4))
+ (|ofCategory| *6 (|DirectProductCategory| *2 *4))
+ (|ofCategory| *4 (|EuclideanDomain|)))))
(((*1 *2 *1)
- (-11 (-5 *2 (-695)) (-5 *1 (-105 *3 *4 *5)) (-13 *3 (-485)) (-13 *4 *2)
- (-4 *5 (-145))))
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|))
+ (|ofType| *4 *2) (|ofCategory| *5 (|CommutativeRing|))))
((*1 *2)
- (-11 (-4 *4 (-145)) (-5 *2 (-831)) (-5 *1 (-137 *3 *4)) (-4 *3 (-138 *4))))
- ((*1 *2) (-11 (-4 *1 (-315 *3)) (-4 *3 (-145)) (-5 *2 (-831))))
+ (AND (|ofCategory| *4 (|CommutativeRing|))
+ (|isDomain| *2 (|PositiveInteger|))
+ (|isDomain| *1 (|ComplexCategory&| *3 *4))
+ (|ofCategory| *3 (|ComplexCategory| *4))))
((*1 *2)
- (-11 (-4 *1 (-321 *3 *4)) (-4 *3 (-145)) (-4 *4 (-1156 *3)) (-5 *2 (-831))))
+ (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|isDomain| *2 (|PositiveInteger|))))
+ ((*1 *2)
+ (AND (|ofCategory| *1 (|FiniteRankAlgebra| *3 *4))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|isDomain| *2 (|PositiveInteger|))))
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- (-5 *1 (-461 *4 *5 *6 *3)) (-4 *3 (-628 *4 *5 *6))))
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- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-631 *5)) (-5 *4 (-1180 *5)) (-4 *5 (-311)) (-5 *2 (-695))
- (-5 *1 (-611 *5))))
+ (AND (|ofCategory| *4 (|Field|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *4 *5 *6 *3))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))
+ ((*1 *2 *3 *4)
+ (AND (|ofCategory| *5 (|Field|))
+ (|ofCategory| *6
+ (|Join| (|FiniteLinearAggregate| *5)
+ (|ShallowlyMutableAggregate| *5)))
+ (|ofCategory| *4
+ (|Join| (|FiniteLinearAggregate| *5)
+ (|ShallowlyMutableAggregate| *5)))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|LinearSystemMatrixPackage| *5 *6 *4 *3))
+ (|ofCategory| *3 (|MatrixCategory| *5 *6 *4))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Matrix| *5)) (|isDomain| *4 (|Vector| *5))
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((*1 *2 *1)
- (-11 (-4 *1 (-628 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-323 *3))
- (-4 *5 (-323 *3)) (-4 *3 (-496)) (-5 *2 (-695))))
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+ (|ofCategory| *4 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|IntegralDomain|))
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((*1 *2 *3)
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+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))
((*1 *2 *1)
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- (-5 *1 (-461 *4 *5 *6 *3)) (-4 *3 (-628 *4 *5 *6))))
+ (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7))
+ (|ofCategory| *5 (|Ring|))
+ (|ofCategory| *6 (|DirectProductCategory| *4 *5))
+ (|ofCategory| *7 (|DirectProductCategory| *3 *5))
+ (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2 (|NonNegativeInteger|)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Field|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *4 *5 *6 *3))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))
((*1 *2 *1)
- (-11 (-4 *1 (-628 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-323 *3))
- (-4 *5 (-323 *3)) (-4 *3 (-496)) (-5 *2 (-695))))
+ (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-4 *4 (-145)) (-4 *5 (-323 *4)) (-4 *6 (-323 *4))
- (-5 *2 (-695)) (-5 *1 (-630 *4 *5 *6 *3)) (-4 *3 (-628 *4 *5 *6))))
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))
((*1 *2 *1)
- (-11 (-4 *1 (-966 *3 *4 *5 *6 *7)) (-4 *5 (-962)) (-4 *6 (-195 *4 *5))
- (-4 *7 (-195 *3 *5)) (-4 *5 (-496)) (-5 *2 (-695)))))
-(((*1 *2 *3)
- (-11 (-4 *6 (-1036 *4)) (-4 *4 (-311)) (-4 *5 (-323 *4)) (-4 *6 (-323 *4))
- (-5 *2 (-584 *6)) (-5 *1 (-461 *4 *5 *6 *3)) (-4 *3 (-628 *4 *5 *6))))
+ (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7))
+ (|ofCategory| *5 (|Ring|))
+ (|ofCategory| *6 (|DirectProductCategory| *4 *5))
+ (|ofCategory| *7 (|DirectProductCategory| *3 *5))
+ (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2 (|NonNegativeInteger|)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *6 (|ShallowlyMutableAggregate| *4))
+ (|ofCategory| *4 (|Field|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|isDomain| *2 (|List| *6))
+ (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *4 *5 *6 *3))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))
((*1 *2 *3)
- (-11 (-4 *9 (-1036 *7)) (-4 *4 (-496)) (-4 *5 (-323 *4)) (-4 *6 (-323 *4))
- (-4 *7 (-905 *4)) (-4 *8 (-323 *7)) (-4 *9 (-323 *7)) (-5 *2 (-584 *6))
- (-5 *1 (-462 *4 *5 *6 *3 *7 *8 *9 *10)) (-4 *3 (-628 *4 *5 *6))
- (-4 *10 (-628 *7 *8 *9))))
+ (AND (|ofCategory| *9 (|ShallowlyMutableAggregate| *7))
+ (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *7 (|QuotientFieldCategory| *4))
+ (|ofCategory| *8 (|FiniteLinearAggregate| *7))
+ (|ofCategory| *9 (|FiniteLinearAggregate| *7))
+ (|isDomain| *2 (|List| *6))
+ (|isDomain| *1
+ (|InnerMatrixQuotientFieldFunctions| *4 *5 *6 *3 *7 *8 *9 *10))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))
+ (|ofCategory| *10 (|MatrixCategory| *7 *8 *9))))
((*1 *2 *1)
- (-11 (-4 *1 (-628 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-323 *3))
- (-4 *5 (-323 *3)) (-4 *3 (-496)) (-5 *2 (-584 *5))))
+ (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *5))))
((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-4 *4 (-145)) (-4 *5 (-323 *4)) (-4 *6 (-323 *4))
- (-5 *2 (-584 *6)) (-5 *1 (-630 *4 *5 *6 *3)) (-4 *3 (-628 *4 *5 *6))))
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4))
+ (|isDomain| *2 (|List| *6))
+ (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))
((*1 *2 *1)
- (-11 (-4 *1 (-966 *3 *4 *5 *6 *7)) (-4 *5 (-962)) (-4 *6 (-195 *4 *5))
- (-4 *7 (-195 *3 *5)) (-4 *5 (-496)) (-5 *2 (-584 *7)))))
+ (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7))
+ (|ofCategory| *5 (|Ring|))
+ (|ofCategory| *6 (|DirectProductCategory| *4 *5))
+ (|ofCategory| *7 (|DirectProductCategory| *3 *5))
+ (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|List| *7)))))
(((*1 *2 *2 *3 *3)
- (-11 (-5 *2 (-1149 *4 *5)) (-5 *3 (-584 *5)) (-13 *4 (-1091)) (-4 *5 (-311))
- (-5 *1 (-834 *4 *5))))
+ (AND (|isDomain| *2 (|UnivariatePolynomial| *4 *5))
+ (|isDomain| *3 (|List| *5)) (|ofType| *4 (|Symbol|))
+ (|ofCategory| *5 (|Field|))
+ (|isDomain| *1 (|PolynomialInterpolation| *4 *5))))
((*1 *2 *3 *3)
- (-11 (-5 *3 (-584 *5)) (-4 *5 (-311)) (-5 *2 (-1086 *5)) (-5 *1 (-834 *4 *5))
- (-13 *4 (-1091))))
+ (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *5 (|Field|))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| *5))
+ (|isDomain| *1 (|PolynomialInterpolation| *4 *5))
+ (|ofType| *4 (|Symbol|))))
((*1 *2 *3 *3 *4 *4)
- (-11 (-5 *3 (-584 *6)) (-5 *4 (-695)) (-4 *6 (-311)) (-5 *2 (-349 (-858 *6)))
- (-5 *1 (-963 *5 *6)) (-13 *5 (-1091)))))
-(((*1 *2 *2 *2 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-960)))))
-(((*1 *2 *3) (-11 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-485))) (-5 *1 (-960)))))
-(((*1 *2 *3) (-11 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-485))) (-5 *1 (-960)))))
-(((*1 *1 *1 *1) (-4 *1 (-113)))
- ((*1 *2 *2 *2) (-11 (-4 *3 (-496)) (-5 *1 (-128 *3 *2)) (-4 *2 (-363 *3))))
- ((*1 *2 *2 *2) (-11 (-5 *1 (-129 *2)) (-4 *2 (-484))))
- ((*1 *1 *1 *1) (-5 *1 (-773)))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 |RationalNumber|) (-5 *2 (-1 (-485))) (-5 *1 (-960))
- (-5 *3 (-485)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1010 *4)) (-4 *4 (-1014)) (-5 *2 (-1 *4)) (-5 *1 (-931 *4))))
- ((*1 *2 *3 *3) (-11 (-5 *2 (-1 (-329))) (-5 *1 (-954)) (-5 *3 (-329))))
- ((*1 *2 *3) (-11 (-5 *3 (-1002 (-485))) (-5 *2 (-1 (-485))) (-5 *1 (-960)))))
-(((*1 *1) (-11 (-4 *1 (-958 *2)) (-4 *2 (-20)))))
-(((*1 *1) (-5 *1 (-127))) ((*1 *2 *1) (-11 (-4 *1 (-957 *2)) (-4 *2 (-20)))))
-(((*1 *1) (-5 *1 (-127))) ((*1 *2 *1) (-11 (-4 *1 (-957 *2)) (-4 *2 (-20)))))
-(((*1 *1) (-5 *1 (-127))) ((*1 *2 *1) (-11 (-4 *1 (-957 *2)) (-4 *2 (-20)))))
-(((*1 *2) (-11 (-4 *1 (-957 *2)) (-4 *2 (-20)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-349 (-858 *4))) (-4 *4 (-257)) (-5 *2 (-349 (-347 (-858 *4))))
- (-5 *1 (-956 *4)))))
-(((*1 *2 *3) (-11 (-5 *3 (-695)) (-5 *2 (-1 (-329))) (-5 *1 (-954)))))
-(((*1 *2 *3 *3) (-11 (-5 *3 (-695)) (-5 *2 (-1 (-329))) (-5 *1 (-954)))))
-(((*1 *2 *3) (-11 (-5 *3 (-695)) (-5 *2 (-1 (-329))) (-5 *1 (-954)))))
+ (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|NonNegativeInteger|))
+ (|ofCategory| *6 (|Field|))
+ (|isDomain| *2 (|Fraction| (|Polynomial| *6)))
+ (|isDomain| *1 (|RationalInterpolation| *5 *6))
+ (|ofType| *5 (|Symbol|)))))
+(((*1 *2 *2 *2 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|RandomIntegerDistributions|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 |RationalNumber|) (|isDomain| *2 (|Mapping| (|Integer|)))
+ (|isDomain| *1 (|RandomIntegerDistributions|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 |RationalNumber|) (|isDomain| *2 (|Mapping| (|Integer|)))
+ (|isDomain| *1 (|RandomIntegerDistributions|)))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|CombinatorialFunctionCategory|)))
+ ((*1 *2 *2 *2)
+ (AND (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *1 (|CombinatorialFunction| *3 *2))
+ (|ofCategory| *2 (|FunctionSpace| *3))))
+ ((*1 *2 *2 *2)
+ (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2))
+ (|ofCategory| *2 (|IntegerNumberSystem|))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 |RationalNumber|) (|isDomain| *2 (|Mapping| (|Integer|)))
+ (|isDomain| *1 (|RandomIntegerDistributions|))
+ (|isDomain| *3 (|Integer|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Set| *4)) (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2 (|Mapping| *4))
+ (|isDomain| *1 (|RandomDistributions| *4))))
+ ((*1 *2 *3 *3)
+ (AND (|isDomain| *2 (|Mapping| (|Float|)))
+ (|isDomain| *1 (|RandomFloatDistributions|)) (|isDomain| *3 (|Float|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Segment| (|Integer|)))
+ (|isDomain| *2 (|Mapping| (|Integer|)))
+ (|isDomain| *1 (|RandomIntegerDistributions|)))))
+(((*1 *1)
+ (AND (|ofCategory| *1 (|RGBColorSpace| *2))
+ (|ofCategory| *2 (|AbelianMonoid|)))))
+(((*1 *1) (|isDomain| *1 (|Color|)))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|RGBColorModel| *2))
+ (|ofCategory| *2 (|AbelianMonoid|)))))
+(((*1 *1) (|isDomain| *1 (|Color|)))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|RGBColorModel| *2))
+ (|ofCategory| *2 (|AbelianMonoid|)))))
+(((*1 *1) (|isDomain| *1 (|Color|)))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|RGBColorModel| *2))
+ (|ofCategory| *2 (|AbelianMonoid|)))))
+(((*1 *2)
+ (AND (|ofCategory| *1 (|RGBColorModel| *2))
+ (|ofCategory| *2 (|AbelianMonoid|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4)))
+ (|ofCategory| *4 (|EuclideanDomain|))
+ (|isDomain| *2 (|Fraction| (|Factored| (|Polynomial| *4))))
+ (|isDomain| *1 (|RationalFunctionFactorizer| *4)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Mapping| (|Float|)))
+ (|isDomain| *1 (|RandomFloatDistributions|)))))
+(((*1 *2 *3 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Mapping| (|Float|)))
+ (|isDomain| *1 (|RandomFloatDistributions|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Mapping| (|Float|)))
+ (|isDomain| *1 (|RandomFloatDistributions|)))))
(((*1 *1 *2)
- (-11 (-5 *2 (-1161 *3 *4 *5)) (-4 *3 (-311)) (-13 *4 (-1091)) (-13 *5 *3)
- (-5 *1 (-269 *3 *4 *5))))
- ((*1 *2 *3) (-11 (-5 *2 (-1 (-329))) (-5 *1 (-954)) (-5 *3 (-329)))))
-(((*1 *2 *3 *3) (-11 (-5 *2 (-1 (-329))) (-5 *1 (-954)) (-5 *3 (-329)))))
-(((*1 *2 *3) (-11 (-5 *3 (-695)) (-5 *2 (-329)) (-5 *1 (-954)))))
-(((*1 *2) (-11 (-5 *2 (-329)) (-5 *1 (-954)))))
-(((*1 *2) (-11 (-5 *2 (-329)) (-5 *1 (-954)))))
-(((*1 *2) (-11 (-5 *2 (-329)) (-5 *1 (-954)))))
+ (AND (|isDomain| *2 (|UnivariatePuiseuxSeries| *3 *4 *5))
+ (|ofCategory| *3 (|Field|)) (|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 *3 *3)
+ (AND (|isDomain| *2 (|Mapping| (|Float|)))
+ (|isDomain| *1 (|RandomFloatDistributions|)) (|isDomain| *3 (|Float|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Float|))
+ (|isDomain| *1 (|RandomFloatDistributions|)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|)))))
(((*1 *2 *3 *4 *2)
- (-11 (-5 *3 (-1086 (-349 (-1086 *2)))) (-5 *4 (-551 *2))
- (-4 *2 (-12 (-363 *5) (-24) (-1116)))
- (-4 *5 (-12 (-392) (-951 (-485)) (-117) (-581 (-485))))
- (-5 *1 (-499 *5 *2 *6)) (-4 *6 (-1014))))
+ (AND
+ (|isDomain| *3
+ (|SparseUnivariatePolynomial|
+ (|Fraction| (|SparseUnivariatePolynomial| *2))))
+ (|isDomain| *4 (|Kernel| *2))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|GenusZeroIntegration| *5 *2 *6))
+ (|ofCategory| *6 (|SetCategory|))))
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- (-11 (-5 *2 (-1086 *1)) (-4 *1 (-862 *4 *5 *3)) (-4 *4 (-962)) (-4 *5 (-718))
- (-4 *3 (-757))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *3 (|OrderedSet|))))
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- (-11 (-5 *3 (-349 (-1086 (-349 (-858 *5))))) (-5 *4 (-1091))
- (-5 *2 (-349 (-858 *5))) (-5 *1 (-953 *5)) (-4 *5 (-496)))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *4))
+ (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *3 (|OrderedSet|))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Fraction| (|SparseUnivariatePolynomial| *2)))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|Ring|))
+ (|ofCategory| *2
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
+ (SIGNATURE |numer| (*7 $))
+ (SIGNATURE |denom| (*7 $)))))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *5 *4 *6 *7 *2))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *5 *4))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3
+ (|Fraction| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *5)))))
+ (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Fraction| (|Polynomial| *5)))
+ (|isDomain| *1 (|RationalFunction| *5))
+ (|ofCategory| *5 (|IntegralDomain|)))))
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- (-11 (-5 *3 (-551 *1)) (-4 *1 (-363 *4)) (-4 *4 (-1014)) (-4 *4 (-496))
- (-5 *2 (-349 (-1086 *1)))))
+ (AND (|isDomain| *3 (|Kernel| *1)) (|ofCategory| *1 (|FunctionSpace| *4))
+ (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| *1)))))
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- (-4 *6 (-12 (-392) (-951 (-485)) (-117) (-581 (-485))))
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- (-4 *7 (-1014))))
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- (-5 *2 (-1149 *5 (-858 *6))) (-5 *1 (-860 *5 *6)) (-5 *3 (-858 *6))))
+ (AND (|isDomain| *4 (|Kernel| *3))
+ (|ofCategory| *3
+ (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|SparseUnivariatePolynomial|
+ (|Fraction| (|SparseUnivariatePolynomial| *3))))
+ (|isDomain| *1 (|GenusZeroIntegration| *6 *3 *7))
+ (|isDomain| *5 (|SparseUnivariatePolynomial| *3))
+ (|ofCategory| *7 (|SetCategory|))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Variable| *5)) (|ofType| *5 (|Symbol|))
+ (|ofCategory| *6 (|Ring|))
+ (|isDomain| *2 (|UnivariatePolynomial| *5 (|Polynomial| *6)))
+ (|isDomain| *1 (|PolynomialToUnivariatePolynomial| *5 *6))
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- (-11 (-4 *1 (-862 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-1086 *3))))
+ (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
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- (-4 *3
- (-12 (-311)
- (-10 -8 (-14 -3950 ($ *7)) (-14 -3001 (*7 $)) (-14 -3000 (*7 $)))))))
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+ (|ofCategory| *3 (|OrderedSet|))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3))))
+ ((*1 *2 *3 *4)
+ (AND (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|Ring|))
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+ (|isDomain| *2 (|Fraction| (|SparseUnivariatePolynomial| *3)))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *5 *4 *6 *7 *3))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
+ (SIGNATURE |numer| (*7 $))
+ (SIGNATURE |denom| (*7 $)))))))
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- (-4 *6 (-962)) (-5 *2 (-584 *5)) (-5 *1 (-271 *4 *5 *6 *7))))
- ((*1 *2 *1) (-11 (-4 *1 (-363 *3)) (-4 *3 (-1014)) (-5 *2 (-584 (-1091)))))
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- (-5 *2 (-1086 (-349 (-1086 *6)))) (-5 *1 (-499 *5 *6 *7)) (-5 *3 (-1086 *6))
- (-4 *7 (-1014))))
- ((*1 *2 *1) (-11 (-4 *2 (-1156 *3)) (-5 *1 (-650 *3 *2)) (-4 *3 (-962))))
- ((*1 *2 *1) (-11 (-4 *1 (-662 *3 *2)) (-4 *3 (-145)) (-4 *2 (-1156 *3))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
+ (SIGNATURE |numer| (*7 $))
+ (SIGNATURE |denom| (*7 $)))))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *5 *4))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *6 (|Ring|))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *5 *4 *6 *7 *3))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2
+ (|Fraction|
+ (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *5)))))
+ (|isDomain| *1 (|RationalFunction| *5))
+ (|isDomain| *3 (|Fraction| (|Polynomial| *5))))))
+(((*1 *2 *1)
+ (|partial| AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *2 (|OrderedSet|))))
+ ((*1 *2 *3)
+ (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|PolynomialCategory| *5 *4 *2))
+ (|ofCategory| *2 (|OrderedSet|))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *2 *5 *6 *3))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *6))
+ (SIGNATURE |numer| (*6 $))
+ (SIGNATURE |denom| (*6 $)))))))
+ ((*1 *2 *3)
+ (|partial| AND (|isDomain| *3 (|Fraction| (|Polynomial| *4)))
+ (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Symbol|))
+ (|isDomain| *1 (|RationalFunction| *4)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *7))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|))
+ (|isDomain| *2 (|List| *5))
+ (|isDomain| *1 (|FactoringUtilities| *4 *5 *6 *7))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|List| (|Symbol|)))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *5))))
+ ((*1 *2 *3)
+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))
+ (|isDomain| *2 (|List| *5))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
+ (SIGNATURE |numer| (*7 $))
+ (SIGNATURE |denom| (*7 $)))))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|PowerSeriesCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|))
+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *5))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|isDomain| *2 (|List| *5))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4)))
+ (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Symbol|)))
+ (|isDomain| *1 (|RationalFunction| *4)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|List| (|Polynomial| *6)))
+ (|isDomain| *4 (|List| (|Symbol|)))
+ (|ofCategory| *6 (|Join| (|IntegralDomain|) (|RetractableTo| *5)))
+ (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2
+ (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *6))))))
+ (|isDomain| *1 (|RetractSolvePackage| *5 *6)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Kernel| *6))
+ (|ofCategory| *6
+ (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|SparseUnivariatePolynomial|
+ (|Fraction| (|SparseUnivariatePolynomial| *6))))
+ (|isDomain| *1 (|GenusZeroIntegration| *5 *6 *7))
+ (|isDomain| *3 (|SparseUnivariatePolynomial| *6))
+ (|ofCategory| *7 (|SetCategory|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))
+ (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *3 (|Ring|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|MonogenicAlgebra| *3 *2))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
((*1 *2 *3 *4 *4 *5 *6 *7 *8)
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- (-5 *8 (-584 *11)) (-4 *10 (-757)) (-4 *11 (-257)) (-4 *9 (-718))
- (-4 *5 (-862 *11 *9 *10)) (-5 *2 (-584 (-1086 *5)))
- (-5 *1 (-682 *9 *10 *11 *5)) (-5 *3 (-1086 *5))))
+ (|partial| AND (|isDomain| *4 (|SparseUnivariatePolynomial| *11))
+ (|isDomain| *6 (|List| *10)) (|isDomain| *7 (|List| (|NonNegativeInteger|)))
+ (|isDomain| *8 (|List| *11)) (|ofCategory| *10 (|OrderedSet|))
+ (|ofCategory| *11 (|EuclideanDomain|))
+ (|ofCategory| *9 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|PolynomialCategory| *11 *9 *10))
+ (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *5)))
+ (|isDomain| *1 (|MultivariateSquareFree| *9 *10 *11 *5))
+ (|isDomain| *3 (|SparseUnivariatePolynomial| *5))))
((*1 *2 *1)
- (-11 (-4 *2 (-862 *3 *4 *5)) (-5 *1 (-948 *3 *4 *5 *2 *6)) (-4 *3 (-311))
- (-4 *4 (-718)) (-4 *5 (-757)) (-13 *6 (-584 *2)))))
+ (AND (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5))
+ (|isDomain| *1 (|ResidueRing| *3 *4 *5 *2 *6))
+ (|ofCategory| *3 (|Field|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|ofType| *6 (|List| *2)))))
(((*1 *2 *2 *3)
- (-11 (-5 *3 (-831)) (-5 *1 (-946 *2))
- (-4 *2 (-12 (-1014) (-10 -8 (-14 * ($ $ $))))))))
+ (AND (|isDomain| *3 (|PositiveInteger|))
+ (|isDomain| *1 (|RepeatedSquaring| *2))
+ (|ofCategory| *2
+ (|Join| (|SetCategory|)
+ (CATEGORY |domain| (SIGNATURE * ($ $ $))))))))
(((*1 *2 *3 *2)
- (-11 (-5 *3 (-831)) (-5 *1 (-945 *2))
- (-4 *2 (-12 (-1014) (-10 -8 (-14 -3842 ($ $ $))))))))
+ (AND (|isDomain| *3 (|PositiveInteger|))
+ (|isDomain| *1 (|RepeatedDoubling| *2))
+ (|ofCategory| *2
+ (|Join| (|SetCategory|)
+ (CATEGORY |domain| (SIGNATURE + ($ $ $))))))))
(((*1 *2 *3 *4)
- (-11 (-5 *3 (-584 (-1180 *5))) (-5 *4 (-485)) (-5 *2 (-1180 *5))
- (-5 *1 (-944 *5)) (-4 *5 (-311)) (-4 *5 (-319)) (-4 *5 (-962)))))
+ (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 *4 *5 *5)
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- (-4 *6 (-962)) (-5 *2 (-584 (-584 (-631 *6)))) (-5 *1 (-944 *6))
- (-5 *3 (-584 (-631 *6)))))
+ (AND (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Integer|))
+ (|ofCategory| *6 (|Field|)) (|ofCategory| *6 (|Finite|))
+ (|ofCategory| *6 (|Ring|))
+ (|isDomain| *2 (|List| (|List| (|Matrix| *6))))
+ (|isDomain| *1 (|RepresentationPackage2| *6))
+ (|isDomain| *3 (|List| (|Matrix| *6)))))
((*1 *2 *3)
- (-11 (-4 *4 (-311)) (-4 *4 (-319)) (-4 *4 (-962))
- (-5 *2 (-584 (-584 (-631 *4)))) (-5 *1 (-944 *4)) (-5 *3 (-584 (-631 *4)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-82)) (-4 *5 (-311)) (-4 *5 (-319)) (-4 *5 (-962))
- (-5 *2 (-584 (-584 (-631 *5)))) (-5 *1 (-944 *5)) (-5 *3 (-584 (-631 *5)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-831)) (-4 *5 (-311)) (-4 *5 (-319)) (-4 *5 (-962))
- (-5 *2 (-584 (-584 (-631 *5)))) (-5 *1 (-944 *5)) (-5 *3 (-584 (-631 *5))))))
+ (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Finite|))
+ (|ofCategory| *4 (|Ring|))
+ (|isDomain| *2 (|List| (|List| (|Matrix| *4))))
+ (|isDomain| *1 (|RepresentationPackage2| *4))
+ (|isDomain| *3 (|List| (|Matrix| *4)))))
+ ((*1 *2 *3 *4)
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+ (|ofCategory| *5 (|Finite|)) (|ofCategory| *5 (|Ring|))
+ (|isDomain| *2 (|List| (|List| (|Matrix| *5))))
+ (|isDomain| *1 (|RepresentationPackage2| *5))
+ (|isDomain| *3 (|List| (|Matrix| *5)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|))
+ (|ofCategory| *5 (|Finite|)) (|ofCategory| *5 (|Ring|))
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+ (|isDomain| *1 (|RepresentationPackage2| *5))
+ (|isDomain| *3 (|List| (|Matrix| *5))))))
(((*1 *2 *3 *4)
- (-11 (-5 *3 (-584 (-631 *5))) (-5 *4 (-485)) (-4 *5 (-311)) (-4 *5 (-962))
- (-5 *2 (-82)) (-5 *1 (-944 *5))))
+ (AND (|isDomain| *3 (|List| (|Matrix| *5))) (|isDomain| *4 (|Integer|))
+ (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|))
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((*1 *2 *3)
- (-11 (-5 *3 (-584 (-631 *4))) (-4 *4 (-311)) (-4 *4 (-962)) (-5 *2 (-82))
- (-5 *1 (-944 *4)))))
+ (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|ofCategory| *4 (|Field|))
+ (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|))
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+ (|isDomain| *3 (|PositiveInteger|))
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+ (|isDomain| *1 (|RepresentationPackage1| *4)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|)))))
+ (|isDomain| *1 (|RadicalEigenPackage|)))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|)))))
+ (|isDomain| *1 (|RadicalEigenPackage|)))))
+(((*1 *2 *2)
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- (-5 *4 (-2 (|:| -3141 (-349 (-485))) (|:| -3140 (-349 (-485)))))))
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+ (|isDomain| *2 (|Matrix| (|Expression| (|Integer|))))
+ (|isDomain| *1 (|RadicalEigenPackage|)))))
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+ (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Expression| (|Integer|))))
+ (|isDomain| *1 (|RadicalEigenPackage|)))))
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+ (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|)))))
+ (|isDomain| *1 (|RadicalEigenPackage|))
+ (|isDomain| *3 (|Expression| (|Integer|))))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|)))))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |radval| (|Expression| (|Integer|)))
+ (|:| |radmult| (|Integer|))
+ (|:| |radvect|
+ (|List| (|Matrix| (|Expression| (|Integer|))))))))
+ (|isDomain| *1 (|RadicalEigenPackage|)))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|BasicType|)) (|isDomain| *2 (|Boolean|))))
+ ((*1 *1 *2 *2)
+ (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Type|))))
+ ((*1 *2 *1 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))
+ ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))
+ ((*1 *2 *1 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Reference| *3))
+ (|ofCategory| *3 (|Type|)))))
+(((*1 *1 *2) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1 *2)
+ (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *2 *3)
+ (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|ReductionOfOrder| *3 *2))
+ (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *3))))
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- (-11 (-5 *2 (-584 (-2 (|:| -3141 (-349 (-485))) (|:| -3140 (-349 (-485))))))
- (-5 *1 (-935 *3)) (-4 *3 (-1156 (-485))) (-5 *4 (-349 (-485)))))
+ (AND (|ofCategory| *5 (|Field|))
+ (|isDomain| *2 (|Record| (|:| |eq| *3) (|:| |op| (|List| *5))))
+ (|isDomain| *1 (|ReductionOfOrder| *5 *3)) (|isDomain| *4 (|List| *5))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5)))))
+(((*1 *1 *2 *3)
+ (AND
+ (|isDomain| *2
+ (|RightOpenIntervalRootCharacterization| #1=(|RealClosure| *4)
+ (|SparseUnivariatePolynomial|
+ #1#)))
+ (|isDomain| *3 (|OutputForm|)) (|isDomain| *1 (|RealClosure| *4))
+ (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|) (|RealConstant|))))))
+(((*1 *2 *1)
+ (|partial| AND
+ (|isDomain| *2
+ (|RightOpenIntervalRootCharacterization| #1=(|RealClosure| *3)
+ (|SparseUnivariatePolynomial|
+ #1#)))
+ (|isDomain| *1 (|RealClosure| *3))
+ (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|) (|RealConstant|))))))
+(((*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| #1=(|Fraction| (|Integer|))) (|:| |right| #1#))))
+ (|isDomain| *1 (|RealZeroPackage| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))
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- (-5 *1 (-935 *3)) (-4 *3 (-1156 (-485)))
- (-5 *4 (-2 (|:| -3141 *5) (|:| -3140 *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)
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- (-5 *1 (-936 *3)) (-4 *3 (-1156 (-349 (-485))))))
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- (-5 *4 (-2 (|:| -3141 (-349 (-485))) (|:| -3140 (-349 (-485)))))))
- ((*1 *2 *3 *4)
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- (-5 *1 (-936 *3)) (-4 *3 (-1156 *4))))
+ (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)
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-(((*1 *2 *3)
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-(((*1 *2 *3)
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- (-5 *2 (-349 (-485))) (-5 *1 (-935 *4)) (-4 *4 (-1156 (-485))))))
+ (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| *3
+ (|List|
+ (|Record| (|:| |left| (|Fraction| (|Integer|)))
+ (|:| |right| (|Fraction| (|Integer|))))))
+ (|isDomain| *2 (|List| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|RealZeroPackage| *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))))))
+(((*1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|Record| (|:| |left| #1=(|Fraction| (|Integer|))) (|:| |right| #1#)))
+ (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|RealZeroPackage| *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))))))
(((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-1180 *6)) (-5 *4 (-1180 (-485))) (-5 *5 (-485)) (-4 *6 (-1014))
- (-5 *2 (-1 *6)) (-5 *1 (-931 *6)))))
-(((*1 *2 *3)
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- (-5 *2 (-1 *4)) (-5 *1 (-931 *4)))))
+ (AND (|isDomain| *3 (|Vector| *6)) (|isDomain| *4 (|Vector| (|Integer|)))
+ (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|SetCategory|))
+ (|isDomain| *2 (|Mapping| *6))
+ (|isDomain| *1 (|RandomDistributions| *6)))))
+(((*1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|List| (|Record| (|:| |value| *4) (|:| |weight| (|Integer|)))))
+ (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Mapping| *4))
+ (|isDomain| *1 (|RandomDistributions| *4)))))
(((*1 *2 *3 *3 *3)
- (|partial| -11 (-4 *4 (-12 (-311) (-117) (-951 (-485)))) (-4 *5 (-1156 *4))
- (-5 *2 (-584 (-349 *5))) (-5 *1 (-930 *4 *5)) (-5 *3 (-349 *5)))))
+ (|partial| AND
+ (|ofCategory| *4
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|List| (|Fraction| *5)))
+ (|isDomain| *1 (|TranscendentalRischDESystem| *4 *5))
+ (|isDomain| *3 (|Fraction| *5)))))
(((*1 *2 *3 *3 *3 *4)
- (|partial| -11 (-5 *4 (-1 *6 *6)) (-4 *6 (-1156 *5))
- (-4 *5 (-12 (-311) (-117) (-951 (-485))))
- (-5 *2
- (-2 (|:| |a| *6) (|:| |b| (-349 *6)) (|:| |h| *6) (|:| |c1| (-349 *6))
- (|:| |c2| (-349 *6)) (|:| -3096 *6)))
- (-5 *1 (-930 *5 *6)) (-5 *3 (-349 *6)))))
+ (|partial| AND (|isDomain| *4 (|Mapping| *6 *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))))
+ (|isDomain| *2
+ (|Record| (|:| |a| *6) (|:| |b| #1=(|Fraction| *6)) (|:| |h| *6)
+ (|:| |c1| #1#) (|:| |c2| #1#) (|:| |t| *6)))
+ (|isDomain| *1 (|TranscendentalRischDESystem| *5 *6))
+ (|isDomain| *3 (|Fraction| *6)))))
(((*1 *2 *3 *3 *3 *4 *5)
- (-11 (-5 *5 (-1 *3 *3)) (-4 *3 (-1156 *6))
- (-4 *6 (-12 (-311) (-117) (-951 *4))) (-5 *4 (-485))
- (-5 *2
- (-3 (|:| |ans| (-2 (|:| |ans| *3) (|:| |nosol| (-82))))
- (|:| -3269
- (-2 (|:| |b| *3) (|:| |c| *3) (|:| |m| *4) (|:| |alpha| *3)
- (|:| |beta| *3)))))
- (-5 *1 (-929 *6 *3)))))
+ (AND (|isDomain| *5 (|Mapping| *3 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *6))
+ (|ofCategory| *6
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| *4)))
+ (|isDomain| *4 (|Integer|))
+ (|isDomain| *2
+ (|Union|
+ (|:| |ans| (|Record| (|:| |ans| *3) (|:| |nosol| (|Boolean|))))
+ (|:| |eq|
+ (|Record| (|:| |b| *3) (|:| |c| *3) (|:| |m| *4) (|:| |alpha| *3)
+ (|:| |beta| *3)))))
+ (|isDomain| *1 (|TranscendentalRischDE| *6 *3)))))
(((*1 *2 *3 *3)
- (-11 (-4 *4 (-12 (-311) (-117) (-951 (-485)))) (-4 *5 (-1156 *4))
- (-5 *2 (-2 (|:| |ans| (-349 *5)) (|:| |nosol| (-82)))) (-5 *1 (-929 *4 *5))
- (-5 *3 (-349 *5)))))
+ (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 *2 *3 *3 *4)
- (|partial| -11 (-5 *4 (-1 *6 *6)) (-4 *6 (-1156 *5))
- (-4 *5 (-12 (-311) (-117) (-951 (-485))))
- (-5 *2
- (-2 (|:| |a| *6) (|:| |b| (-349 *6)) (|:| |c| (-349 *6)) (|:| -3096 *6)))
- (-5 *1 (-929 *5 *6)) (-5 *3 (-349 *6)))))
+ (|partial| AND (|isDomain| *4 (|Mapping| *6 *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))))
+ (|isDomain| *2
+ (|Record| (|:| |a| *6) (|:| |b| #1=(|Fraction| *6)) (|:| |c| #1#)
+ (|:| |t| *6)))
+ (|isDomain| *1 (|TranscendentalRischDE| *5 *6))
+ (|isDomain| *3 (|Fraction| *6)))))
(((*1 *2 *3 *4 *4 *4 *5 *6 *7)
- (|partial| -11 (-5 *5 (-1091))
- (-5 *6
- (-1
- (-3
- (-2 (|:| |mainpart| *4)
- (|:| |limitedlogs| (-584 (-2 (|:| |coeff| *4) (|:| |logand| *4)))))
+ (|partial| AND (|isDomain| *5 (|Symbol|))
+ (|isDomain| *6
+ (|Mapping|
+ (|Union|
+ (|Record| (|:| |mainpart| *4)
+ (|:| |limitedlogs|
+ (|List| (|Record| (|:| |coeff| *4) (|:| |logand| *4)))))
"failed")
- *4 (-584 *4)))
- (-5 *7 (-1 (-3 (-2 (|:| -2138 *4) (|:| |coeff| *4)) "failed") *4 *4))
- (-4 *4 (-12 (-1116) (-24) (-363 *8)))
- (-4 *8 (-12 (-392) (-117) (-951 *3) (-581 *3))) (-5 *3 (-485))
- (-5 *2 (-584 *4)) (-5 *1 (-928 *8 *4)))))
+ *4 (|List| *4)))
+ (|isDomain| *7
+ (|Mapping|
+ (|Union| (|Record| (|:| |ratpart| *4) (|:| |coeff| *4)) "failed") *4 *4))
+ (|ofCategory| *4
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|AlgebraicallyClosedField|) (|FunctionSpace| *8)))
+ (|ofCategory| *8
+ (|Join| (|GcdDomain|) (|CharacteristicZero|)
+ (|RetractableTo| *3) (|LinearlyExplicitRingOver| *3)))
+ (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|List| *4))
+ (|isDomain| *1 (|ElementaryRischDESystem| *8 *4)))))
(((*1 *2 *3 *4 *4 *5 *6 *7)
- (-11 (-5 *5 (-1091))
- (-5 *6
- (-1
- (-3
- (-2 (|:| |mainpart| *4)
- (|:| |limitedlogs| (-584 (-2 (|:| |coeff| *4) (|:| |logand| *4)))))
- "failed")
- *4 (-584 *4)))
- (-5 *7 (-1 (-3 (-2 (|:| -2138 *4) (|:| |coeff| *4)) "failed") *4 *4))
- (-4 *4 (-12 (-1116) (-24) (-363 *8)))
- (-4 *8 (-12 (-392) (-117) (-951 *3) (-581 *3))) (-5 *3 (-485))
- (-5 *2 (-2 (|:| |ans| *4) (|:| -3140 *4) (|:| |sol?| (-82))))
- (-5 *1 (-927 *8 *4)))))
-(((*1 *1 *1 *2) (-11 (-4 *1 (-780 *3)) (-5 *2 (-485))))
- ((*1 *1 *1) (-4 *1 (-916))) ((*1 *1 *2) (-11 (-5 *2 (-485)) (-4 *1 (-926))))
- ((*1 *1 *2) (-11 (-5 *2 (-349 (-485))) (-4 *1 (-926))))
- ((*1 *1 *1 *2) (-11 (-4 *1 (-926)) (-5 *2 (-831))))
- ((*1 *1 *1) (-4 *1 (-926))))
-(((*1 *2 *1) (|partial| -11 (-4 *1 (-926)) (-5 *2 (-773)))))
-(((*1 *2 *1) (|partial| -11 (-5 *2 (-1086 *1)) (-4 *1 (-926)))))
-(((*1 *2 *1) (|partial| -11 (-5 *2 (-1086 *1)) (-4 *1 (-926)))))
-(((*1 *1 *1 *2) (-11 (-4 *1 (-926)) (-5 *2 (-773)))))
-(((*1 *1 *1 *2) (-11 (-4 *1 (-926)) (-5 *2 (-773)))))
-(((*1 *2 *1) (-11 (-4 *3 (-1130)) (-5 *2 (-584 *1)) (-4 *1 (-924 *3)))))
-(((*1 *2 *1) (-11 (-4 *1 (-924 *3)) (-4 *3 (-1130)) (-5 *2 (-584 *3)))))
-(((*1 *2 *1 *1) (-11 (-4 *1 (-924 *3)) (-4 *3 (-1130)) (-5 *2 (-485)))))
+ (AND (|isDomain| *5 (|Symbol|))
+ (|isDomain| *6
+ (|Mapping|
+ (|Union|
+ (|Record| (|:| |mainpart| *4)
+ (|:| |limitedlogs|
+ (|List|
+ (|Record| (|:| |coeff| *4) (|:| |logand| *4)))))
+ "failed")
+ *4 (|List| *4)))
+ (|isDomain| *7
+ (|Mapping|
+ (|Union| (|Record| (|:| |ratpart| *4) (|:| |coeff| *4)) "failed") *4
+ *4))
+ (|ofCategory| *4
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|AlgebraicallyClosedField|)
+ (|FunctionSpace| *8)))
+ (|ofCategory| *8
+ (|Join| (|GcdDomain|) (|CharacteristicZero|)
+ (|RetractableTo| *3)
+ (|LinearlyExplicitRingOver| *3)))
+ (|isDomain| *3 (|Integer|))
+ (|isDomain| *2
+ (|Record| (|:| |ans| *4) (|:| |right| *4) (|:| |sol?| (|Boolean|))))
+ (|isDomain| *1 (|ElementaryRischDE| *8 *4)))))
+(((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3))
+ (|isDomain| *2 (|Integer|))))
+ ((*1 *1 *1) (|ofCategory| *1 (|RadicalCategory|)))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|RealClosedField|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|ofCategory| *1 (|RealClosedField|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|RealClosedField|))
+ (|isDomain| *2 (|PositiveInteger|))))
+ ((*1 *1 *1) (|ofCategory| *1 (|RealClosedField|))))
+(((*1 *2 *1)
+ (|partial| AND (|ofCategory| *1 (|RealClosedField|))
+ (|isDomain| *2 (|OutputForm|)))))
+(((*1 *2 *1)
+ (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|RealClosedField|)))))
+(((*1 *2 *1)
+ (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|RealClosedField|)))))
+(((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|OutputForm|)))))
+(((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|OutputForm|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|RecursiveAggregate| *3)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *2 (|List| *3)))))
(((*1 *2 *1 *1)
- (-11 (-4 *1 (-924 *3)) (-4 *3 (-1130)) (-4 *3 (-69)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *2 (|Integer|)))))
(((*1 *2 *1 *1)
- (-11 (-4 *1 (-924 *3)) (-4 *3 (-1130)) (-4 *3 (-69)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))
+ (|ofCategory| *3 (|BasicType|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))
+ (|ofCategory| *3 (|BasicType|)) (|isDomain| *2 (|Boolean|)))))
(((*1 *1 *1 *2)
- (-11 (-5 *2 (-584 *1)) (-4 *1 (-1036 *3)) (-4 *1 (-924 *3)) (-4 *3 (-1130)))))
-(((*1 *2 *1 *2) (-11 (-4 *1 (-1036 *2)) (-4 *1 (-924 *2)) (-4 *2 (-1130)))))
+ (AND (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|ShallowlyMutableAggregate| *3))
+ (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))))
+(((*1 *2 *1 *2)
+ (AND (|ofCategory| *1 (|ShallowlyMutableAggregate| *2))
+ (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))))
(((*1 *2 *1)
- (|partial| -11 (-4 *1 (-138 *3)) (-4 *3 (-145)) (-4 *3 (-484))
- (-5 *2 (-349 (-485)))))
+ (|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| -11 (-5 *2 (-349 (-485))) (-5 *1 (-347 *3)) (-4 *3 (-484))
- (-4 *3 (-496))))
- ((*1 *2 *1) (|partial| -11 (-4 *1 (-484)) (-5 *2 (-349 (-485)))))
+ (|partial| AND (|ofCategory| *1 (|IntegerNumberSystem|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
((*1 *2 *1)
- (|partial| -11 (-4 *1 (-721 *3)) (-4 *3 (-145)) (-4 *3 (-484))
- (-5 *2 (-349 (-485)))))
+ (|partial| AND (|ofCategory| *1 (|OctonionCategory| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
((*1 *2 *1)
- (|partial| -11 (-5 *2 (-349 (-485))) (-5 *1 (-744 *3)) (-4 *3 (-484))
- (-4 *3 (-1014))))
+ (|partial| AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|OnePointCompletion| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *1)
- (|partial| -11 (-5 *2 (-349 (-485))) (-5 *1 (-751 *3)) (-4 *3 (-484))
- (-4 *3 (-1014))))
+ (|partial| AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|OrderedCompletion| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *1)
- (|partial| -11 (-4 *1 (-912 *3)) (-4 *3 (-145)) (-4 *3 (-484))
- (-5 *2 (-349 (-485)))))
+ (|partial| AND (|ofCategory| *1 (|QuaternionCategory| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
((*1 *2 *3)
- (|partial| -11 (-5 *2 (-349 (-485))) (-5 *1 (-922 *3)) (-4 *3 (-951 *2)))))
+ (|partial| AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|RationalRetractions| *3))
+ (|ofCategory| *3 (|RetractableTo| *2)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-138 *3)) (-4 *3 (-145)) (-4 *3 (-484)) (-5 *2 (-82))))
+ (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)
- (-11 (-5 *2 (-82)) (-5 *1 (-347 *3)) (-4 *3 (-484)) (-4 *3 (-496))))
- ((*1 *2 *1) (-11 (-4 *1 (-484)) (-5 *2 (-82))))
+ (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|))))
((*1 *2 *1)
- (-11 (-4 *1 (-721 *3)) (-4 *3 (-145)) (-4 *3 (-484)) (-5 *2 (-82))))
+ (AND (|ofCategory| *1 (|OctonionCategory| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|))))
((*1 *2 *1)
- (-11 (-5 *2 (-82)) (-5 *1 (-744 *3)) (-4 *3 (-484)) (-4 *3 (-1014))))
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OnePointCompletion| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *1)
- (-11 (-5 *2 (-82)) (-5 *1 (-751 *3)) (-4 *3 (-484)) (-4 *3 (-1014))))
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedCompletion| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *1)
- (-11 (-4 *1 (-912 *3)) (-4 *3 (-145)) (-4 *3 (-484)) (-5 *2 (-82))))
+ (AND (|ofCategory| *1 (|QuaternionCategory| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|))))
((*1 *2 *3)
- (-11 (-5 *2 (-82)) (-5 *1 (-922 *3)) (-4 *3 (-951 (-349 (-485)))))))
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RationalRetractions| *3))
+ (|ofCategory| *3 (|RetractableTo| (|Fraction| (|Integer|)))))))
(((*1 *2 *1)
- (-11 (-4 *1 (-138 *3)) (-4 *3 (-145)) (-4 *3 (-484)) (-5 *2 (-349 (-485)))))
+ (AND (|ofCategory| *1 (|ComplexCategory| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
((*1 *2 *1)
- (-11 (-5 *2 (-349 (-485))) (-5 *1 (-347 *3)) (-4 *3 (-484)) (-4 *3 (-496))))
- ((*1 *2 *1) (-11 (-4 *1 (-484)) (-5 *2 (-349 (-485)))))
+ (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|Factored| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|ofCategory| *3 (|IntegralDomain|))))
((*1 *2 *1)
- (-11 (-4 *1 (-721 *3)) (-4 *3 (-145)) (-4 *3 (-484)) (-5 *2 (-349 (-485)))))
+ (AND (|ofCategory| *1 (|IntegerNumberSystem|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
((*1 *2 *1)
- (-11 (-5 *2 (-349 (-485))) (-5 *1 (-744 *3)) (-4 *3 (-484)) (-4 *3 (-1014))))
+ (AND (|ofCategory| *1 (|OctonionCategory| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
((*1 *2 *1)
- (-11 (-5 *2 (-349 (-485))) (-5 *1 (-751 *3)) (-4 *3 (-484)) (-4 *3 (-1014))))
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|OnePointCompletion| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *1)
- (-11 (-4 *1 (-912 *3)) (-4 *3 (-145)) (-4 *3 (-484)) (-5 *2 (-349 (-485)))))
- ((*1 *2 *3) (-11 (-5 *2 (-349 (-485))) (-5 *1 (-922 *3)) (-4 *3 (-951 *2)))))
-(((*1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-920)))))
-(((*1 *2 *3) (-11 (-5 *3 (-485)) (-5 *2 (-1186)) (-5 *1 (-920)))))
-(((*1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-920))))
- ((*1 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-920)))))
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|OrderedCompletion| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|QuaternionCategory| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|RationalRetractions| *3))
+ (|ofCategory| *3 (|RetractableTo| *2)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|RandomNumberSource|)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|))))
+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|)))))
(((*1 *2 *3 *4)
- (-11 (-5 *3 (-349 (-485))) (-5 *4 (-485)) (-5 *2 (-48)) (-5 *1 (-919)))))
-(((*1 *2 *1) (-11 (-5 *2 (-584 (-485))) (-5 *1 (-918 *3)) (-13 *3 (-485)))))
-(((*1 *2 *1) (-11 (-5 *2 (-1070 (-485))) (-5 *1 (-918 *3)) (-13 *3 (-485)))))
-(((*1 *2 *1) (-11 (-5 *2 (-584 (-485))) (-5 *1 (-918 *3)) (-13 *3 (-485)))))
-(((*1 *2 *1) (-11 (-5 *2 (-584 (-485))) (-5 *1 (-918 *3)) (-13 *3 (-485)))))
-(((*1 *1 *2) (-11 (-5 *2 (-584 (-485))) (-5 *1 (-918 *3)) (-13 *3 (-485)))))
-(((*1 *1 *2 *2) (-11 (-5 *2 (-584 (-485))) (-5 *1 (-918 *3)) (-13 *3 (-485)))))
+ (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|isDomain| *4 (|Integer|))
+ (|isDomain| *2 (|Any|)) (|isDomain| *1 (|RadixUtilities|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|List| (|Integer|)))
+ (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|Stream| (|Integer|)))
+ (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|List| (|Integer|)))
+ (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|List| (|Integer|)))
+ (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| (|Integer|)))
+ (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))))
+(((*1 *1 *2 *2)
+ (AND (|isDomain| *2 (|List| (|Integer|)))
+ (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))))
(((*1 *2 *3 *4)
- (-11 (-5 *3 (-347 *5)) (-4 *5 (-496))
- (-5 *2 (-2 (|:| -2403 (-695)) (|:| -3958 *5) (|:| |radicand| (-584 *5))))
- (-5 *1 (-270 *5)) (-5 *4 (-695))))
- ((*1 *1 *1 *2) (-11 (-4 *1 (-916)) (-5 *2 (-485)))))
-(((*1 *1 *2) (-11 (-5 *2 (-584 *3)) (-4 *3 (-1014)) (-5 *1 (-914 *3)))))
-(((*1 *1 *1) (-11 (-4 *1 (-138 *2)) (-4 *2 (-145))))
- ((*1 *1 *1 *1) (-4 *1 (-413)))
- ((*1 *1 *1) (-11 (-4 *1 (-721 *2)) (-4 *2 (-145))))
- ((*1 *2 *2) (-11 (-5 *2 (-584 (-831))) (-5 *1 (-794))))
- ((*1 *1 *1) (-5 *1 (-885)))
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- ((*1 *2 *1) (-11 (-4 *1 (-912 *2)) (-4 *2 (-145)))))
-(((*1 *2 *1) (-11 (-4 *1 (-721 *2)) (-4 *2 (-145))))
- ((*1 *2 *1) (-11 (-4 *1 (-912 *2)) (-4 *2 (-145)))))
-(((*1 *1 *2 *2 *2 *2) (-11 (-4 *1 (-912 *2)) (-4 *2 (-145)))))
-(((*1 *2 *2 *1) (-11 (-4 *1 (-909 *2)) (-4 *2 (-1130)))))
-(((*1 *2 *1) (-11 (-4 *1 (-909 *2)) (-4 *2 (-1130)))))
-(((*1 *1 *1) (-11 (-4 *1 (-909 *2)) (-4 *2 (-1130)))))
-(((*1 *2 *1) (-11 (-4 *1 (-909 *2)) (-4 *2 (-1130)))))
-(((*1 *2 *1) (-11 (-4 *1 (-909 *2)) (-4 *2 (-1130)))))
+ (AND (|isDomain| *3 (|Factored| *5)) (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2
+ (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *5)
+ (|:| |radicand| (|List| *5))))
+ (|isDomain| *1 (|FactoredFunctions| *5))
+ (|isDomain| *4 (|NonNegativeInteger|))))
+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|RadicalCategory|)) (|isDomain| *2 (|Integer|)))))
(((*1 *1 *2)
- (-11 (-5 *2 (-1057 *3 *4)) (-13 *3 (-831)) (-4 *4 (-311))
- (-5 *1 (-907 *3 *4)))))
-(((*1 *2 *1) (-11 (-5 *2 (-1040 (-485) (-551 (-45)))) (-5 *1 (-45))))
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *1 (|Queue| *3)))))
+(((*1 *1 *1)
+ (AND (|ofCategory| *1 (|ComplexCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
+ ((*1 *1 *1 *1) (|ofCategory| *1 (|Group|)))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|OctonionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|List| (|PositiveInteger|)))
+ (|isDomain| *1 (|PartitionsAndPermutations|))))
+ ((*1 *1 *1) (|isDomain| *1 (|Partition|)))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|QuaternionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|OctonionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
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- (-5 *1 (-355 *3 *4 *5 *6)) (-4 *6 (-12 (-352 *4 *5) (-951 *4)))))
+ (AND (|ofCategory| *1 (|QuaternionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|OctonionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
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- (-11 (-4 *3 (-962)) (-4 *3 (-1014)) (-5 *2 (-1040 *3 (-551 *1)))
- (-4 *1 (-363 *3))))
- ((*1 *2 *1) (-11 (-5 *2 (-1040 (-485) (-551 (-435)))) (-5 *1 (-435))))
+ (AND (|ofCategory| *1 (|QuaternionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|OctonionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
((*1 *2 *1)
- (-11 (-4 *3 (-145)) (-4 *2 (-35 *3)) (-5 *1 (-559 *2 *3 *4))
- (-4 *4 (|SubsetCategory| (-664) *3))))
+ (AND (|ofCategory| *1 (|QuaternionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *1 *2 *2 *2 *2)
+ (AND (|ofCategory| *1 (|QuaternionCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *2 *1)
+ (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *1 *1)
+ (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|QueueAggregate| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|SquareMatrix| *3 *4)) (|ofType| *3 (|PositiveInteger|))
+ (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|QuadraticForm| *3 *4)))))
+(((*1 *2 *1)
+ (AND
+ (|isDomain| *2
+ (|SparseMultivariatePolynomial| (|Integer|)
+ (|Kernel| (|AlgebraicNumber|))))
+ (|isDomain| *1 (|AlgebraicNumber|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|EuclideanDomain|))
+ (|ofCategory| *4 (|QuotientFieldCategory| *3))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Vector| *6))
+ (|isDomain| *1 (|FractionalIdeal| *3 *4 *5 *6))
+ (|ofCategory| *6
+ (|Join| (|FramedAlgebra| *4 *5) (|RetractableTo| *4)))))
((*1 *2 *1)
- (-11 (-4 *3 (-145)) (-4 *2 (-655 *3)) (-5 *1 (-595 *2 *3 *4))
- (-4 *4 (|SubsetCategory| (-664) *3))))
- ((*1 *2 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)))))
-(((*1 *2 *1) (-11 (-5 *2 (-1040 (-485) (-551 (-45)))) (-5 *1 (-45))))
+ (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|SparseMultivariatePolynomial| *3 (|Kernel| *1)))
+ (|ofCategory| *1 (|FunctionSpace| *3))))
+ ((*1 *2 *1)
+ (AND
+ (|isDomain| *2
+ (|SparseMultivariatePolynomial| (|Integer|)
+ (|Kernel| (|InnerAlgebraicNumber|))))
+ (|isDomain| *1 (|InnerAlgebraicNumber|))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|Algebra| *3))
+ (|isDomain| *1 (|LocalAlgebra| *2 *3 *4))
+ (|ofCategory| *4 (|SubsetCategory| (|Monoid|) *3))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|Module| *3))
+ (|isDomain| *1 (|Localize| *2 *3 *4))
+ (|ofCategory| *4 (|SubsetCategory| (|Monoid|) *3))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *2 *1)
+ (AND
+ (|isDomain| *2
+ (|SparseMultivariatePolynomial| (|Integer|)
+ (|Kernel| (|AlgebraicNumber|))))
+ (|isDomain| *1 (|AlgebraicNumber|))))
((*1 *2 *1)
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- (-5 *1 (-355 *2 *3 *4 *5)) (-4 *5 (-12 (-352 *3 *4) (-951 *3)))))
+ (AND (|ofCategory| *3 (|QuotientFieldCategory| *2))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|ofCategory| *2 (|EuclideanDomain|))
+ (|isDomain| *1 (|FractionalIdeal| *2 *3 *4 *5))
+ (|ofCategory| *5
+ (|Join| (|FramedAlgebra| *3 *4) (|RetractableTo| *3)))))
((*1 *2 *1)
- (-11 (-4 *3 (-496)) (-4 *3 (-1014)) (-5 *2 (-1040 *3 (-551 *1)))
- (-4 *1 (-363 *3))))
- ((*1 *2 *1) (-11 (-5 *2 (-1040 (-485) (-551 (-435)))) (-5 *1 (-435))))
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|SparseMultivariatePolynomial| *3 (|Kernel| *1)))
+ (|ofCategory| *1 (|FunctionSpace| *3))))
((*1 *2 *1)
- (-11 (-4 *4 (-145)) (-4 *2 (|SubsetCategory| (-664) *4))
- (-5 *1 (-559 *3 *4 *2)) (-4 *3 (-35 *4))))
+ (AND
+ (|isDomain| *2
+ (|SparseMultivariatePolynomial| (|Integer|)
+ (|Kernel| (|InnerAlgebraicNumber|))))
+ (|isDomain| *1 (|InnerAlgebraicNumber|))))
((*1 *2 *1)
- (-11 (-4 *4 (-145)) (-4 *2 (|SubsetCategory| (-664) *4))
- (-5 *1 (-595 *3 *4 *2)) (-4 *3 (-655 *4))))
- ((*1 *2 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)))))
-(((*1 *1 *1) (-11 (-4 *1 (-363 *2)) (-4 *2 (-1014)) (-4 *2 (-962))))
- ((*1 *1 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)))))
-(((*1 *1 *1) (-11 (-4 *1 (-363 *2)) (-4 *2 (-1014)) (-4 *2 (-496))))
- ((*1 *1 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-496)))))
+ (AND (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *2 (|SubsetCategory| (|Monoid|) *4))
+ (|isDomain| *1 (|LocalAlgebra| *3 *4 *2))
+ (|ofCategory| *3 (|Algebra| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *2 (|SubsetCategory| (|Monoid|) *4))
+ (|isDomain| *1 (|Localize| *3 *4 *2)) (|ofCategory| *3 (|Module| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *1 *1)
+ (AND (|ofCategory| *1 (|FunctionSpace| *2)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *2 (|Ring|))))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *1 *1)
+ (AND (|ofCategory| *1 (|FunctionSpace| *2)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *2 (|IntegralDomain|))))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *2 *3)
- (-11 (-5 *3 (-831)) (-5 *2 (-1086 *4)) (-5 *1 (-304 *4)) (-4 *4 (-298))))
+ (AND (|isDomain| *3 (|PositiveInteger|))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| *4))
+ (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4))
+ (|ofCategory| *4 (|FiniteFieldCategory|))))
((*1 *2 *3 *3)
- (-11 (-5 *3 (-831)) (-5 *2 (-1086 *4)) (-5 *1 (-304 *4)) (-4 *4 (-298))))
- ((*1 *1) (-4 *1 (-319)))
+ (AND (|isDomain| *3 (|PositiveInteger|))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| *4))
+ (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4))
+ (|ofCategory| *4 (|FiniteFieldCategory|))))
+ ((*1 *1) (|ofCategory| *1 (|Finite|)))
((*1 *2 *3)
- (-11 (-5 *3 (-831)) (-5 *2 (-1180 *4)) (-5 *1 (-467 *4)) (-4 *4 (-298))))
- ((*1 *1 *1) (-4 *1 (-484))) ((*1 *1) (-4 *1 (-484)))
- ((*1 *1 *1) (-5 *1 (-695)))
- ((*1 *2 *1) (-11 (-5 *2 (-814 *3)) (-5 *1 (-817 *3)) (-4 *3 (-1014))))
+ (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Vector| *4))
+ (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))
+ (|ofCategory| *4 (|FiniteFieldCategory|))))
+ ((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))
+ ((*1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))
+ ((*1 *1 *1) (|isDomain| *1 (|NonNegativeInteger|)))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|Permutation| *3))
+ (|isDomain| *1 (|PermutationGroup| *3))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *1 *3)
- (-11 (-5 *3 (-485)) (-5 *2 (-814 *4)) (-5 *1 (-817 *4)) (-4 *4 (-1014))))
- ((*1 *1) (-11 (-4 *1 (-905 *2)) (-4 *2 (-484)) (-4 *2 (-496)))))
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Permutation| *4))
+ (|isDomain| *1 (|PermutationGroup| *4))
+ (|ofCategory| *4 (|SetCategory|))))
+ ((*1 *1)
+ (AND (|ofCategory| *1 (|QuotientFieldCategory| *2))
+ (|ofCategory| *2 (|IntegerNumberSystem|))
+ (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *2 *2)
- (-11
- (-5 *2
- (-900 (-349 (-485)) (-774 *3) (-196 *4 (-695)) (-205 *3 (-349 (-485)))))
- (-13 *3 (-584 (-1091))) (-13 *4 (-695)) (-5 *1 (-901 *3 *4)))))
+ (AND
+ (|isDomain| *2
+ (|QuasiAlgebraicSet| (|Fraction| (|Integer|)) (|OrderedVariableList| *3)
+ (|DirectProduct| *4 (|NonNegativeInteger|))
+ (|DistributedMultivariatePolynomial| *3
+ (|Fraction|
+ (|Integer|)))))
+ (|ofType| *3 (|List| (|Symbol|))) (|ofType| *4 (|NonNegativeInteger|))
+ (|isDomain| *1 (|QuasiAlgebraicSet2| *3 *4)))))
(((*1 *1 *2 *3)
- (-11 (-5 *2 (-584 *3)) (-4 *3 (-862 *4 *6 *5)) (-4 *4 (-392)) (-4 *5 (-757))
- (-4 *6 (-718)) (-5 *1 (-900 *4 *5 *6 *3)))))
+ (AND (|isDomain| *2 (|List| *3))
+ (|ofCategory| *3 (|PolynomialCategory| *4 *6 *5))
+ (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *1 (|QuasiAlgebraicSet| *4 *5 *6 *3)))))
(((*1 *1 *1 *2)
- (-11 (-5 *2 (-3 (-82) "failed")) (-4 *3 (-392)) (-4 *4 (-757)) (-4 *5 (-718))
- (-5 *1 (-900 *3 *4 *5 *6)) (-4 *6 (-862 *3 *5 *4)))))
+ (AND (|isDomain| *2 (|Union| (|Boolean|) "failed"))
+ (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6))
+ (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)))))
(((*1 *2 *1)
- (-11 (-4 *3 (-392)) (-4 *4 (-757)) (-4 *5 (-718)) (-5 *2 (-584 *6))
- (-5 *1 (-900 *3 *4 *5 *6)) (-4 *6 (-862 *3 *5 *4)))))
+ (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *2 (|List| *6))
+ (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6))
+ (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)))))
(((*1 *2 *1)
- (-11 (-4 *2 (-862 *3 *5 *4)) (-5 *1 (-900 *3 *4 *5 *2)) (-4 *3 (-392))
- (-4 *4 (-757)) (-4 *5 (-718)))))
+ (AND (|ofCategory| *2 (|PolynomialCategory| *3 *5 *4))
+ (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *2))
+ (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|))
+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|)))))
(((*1 *1 *1)
- (-11 (-4 *2 (-392)) (-4 *3 (-757)) (-4 *4 (-718)) (-5 *1 (-900 *2 *3 *4 *5))
- (-4 *5 (-862 *2 *4 *3)))))
-(((*1 *2 *3)
- (-11 (-4 *3 (-1156 *2)) (-4 *2 (-1156 *4)) (-5 *1 (-899 *4 *2 *3 *5))
- (-4 *4 (-298)) (-4 *5 (-662 *2 *3)))))
+ (AND (|ofCategory| *2 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *1 (|QuasiAlgebraicSet| *2 *3 *4 *5))
+ (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3)))))
+(((*1 *2 *3)
+ (AND (|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 *2 *3)
- (-11 (-4 *4 (-718)) (-4 *3 (-12 (-757) (-10 -8 (-14 -3975 ((-1091) $)))))
- (-4 *5 (-496)) (-5 *1 (-672 *4 *3 *5 *2))
- (-4 *2 (-862 (-349 (-858 *5)) *4 *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)
- (-11 (-4 *4 (-962)) (-4 *5 (-718))
- (-4 *3
- (-12 (-757)
- (-10 -8 (-14 -3975 ((-1091) $))
- (-14 -3834 ((-3 $ #1="failed") (-1091))))))
- (-5 *1 (-898 *4 *5 *3 *2)) (-4 *2 (-862 (-858 *4) *5 *3))))
+ (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *3
+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |convert| ((|Symbol|) $))
+ (SIGNATURE |variable|
+ ((|Union| $ #1="failed") (|Symbol|))))))
+ (|isDomain| *1 (|PushVariables| *4 *5 *3 *2))
+ (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *3))))
((*1 *2 *2 *3)
- (-11 (-5 *3 (-584 *6))
- (-4 *6
- (-12 (-757)
- (-10 -8 (-14 -3975 ((-1091) $)) (-14 -3834 ((-3 $ #1#) (-1091))))))
- (-4 *4 (-962)) (-4 *5 (-718)) (-5 *1 (-898 *4 *5 *6 *2))
- (-4 *2 (-862 (-858 *4) *5 *6)))))
+ (AND (|isDomain| *3 (|List| *6))
+ (|ofCategory| *6
+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |convert| ((|Symbol|) $))
+ (SIGNATURE |variable|
+ ((|Union| $ #1#) (|Symbol|))))))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *1 (|PushVariables| *4 *5 *6 *2))
+ (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *6)))))
(((*1 *2 *2 *3)
- (-11 (-4 *4 (-718)) (-4 *3 (-12 (-757) (-10 -8 (-14 -3975 ((-1091) $)))))
- (-4 *5 (-496)) (-5 *1 (-672 *4 *3 *5 *2))
- (-4 *2 (-862 (-349 (-858 *5)) *4 *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)
- (-11 (-4 *4 (-962)) (-4 *5 (-718))
- (-4 *3
- (-12 (-757)
- (-10 -8 (-14 -3975 ((-1091) $))
- (-14 -3834 ((-3 $ #1="failed") (-1091))))))
- (-5 *1 (-898 *4 *5 *3 *2)) (-4 *2 (-862 (-858 *4) *5 *3))))
+ (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *3
+ (|Join| (|OrderedSet|)
+ (CATEGORY |domain|
+ (SIGNATURE |convert| ((|Symbol|) $))
+ (SIGNATURE |variable|
+ ((|Union| $ #1="failed") (|Symbol|))))))
+ (|isDomain| *1 (|PushVariables| *4 *5 *3 *2))
+ (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *3))))
((*1 *2 *2 *3)
- (-11 (-5 *3 (-584 *6))
- (-4 *6
- (-12 (-757)
- (-10 -8 (-14 -3975 ((-1091) $)) (-14 -3834 ((-3 $ #1#) (-1091))))))
- (-4 *4 (-962)) (-4 *5 (-718)) (-5 *1 (-898 *4 *5 *6 *2))
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((*1 *1 *1)
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((*1 *1 *2 *3)
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- ((*1 *1 *2 *3) (-11 (-4 *1 (-450 *2 *3)) (-4 *2 (-69)) (-4 *3 (-760))))
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((*1 *1 *1 *2 *3)
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((*1 *1 *1 *2 *3)
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- ((*1 *1 *1) (-11 (-4 *1 (-617 *2)) (-4 *2 (-1130))))
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((*1 *1 *1)
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-(((*1 *2 *1) (-11 (-5 *2 (-831)) (-5 *1 (-885)))))
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+ (|ofCategory| *4 (|OrderedSet|)))))
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+ (|ofCategory| *2 (|IntegerNumberSystem|))))
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+(((*1 *2 *1)
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+ (|isDomain| *1 (|Partition|)))))
+(((*1 *2 *1)
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(((*1 *2 *3 *3)
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- (-5 *1 (-883 *4 *3)) (-4 *3 (-1156 *4)))))
+ (AND (|ofCategory| *4 (|IntegralDomain|))
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+ (|isDomain| *1 (|PseudoRemainderSequence| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
(((*1 *2 *3 *3)
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-(((*1 *2 *3 *3) (-11 (-4 *2 (-496)) (-5 *1 (-883 *2 *3)) (-4 *3 (-1156 *2)))))
+ (AND (|ofCategory| *4 (|IntegralDomain|))
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+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3 *3)
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(((*1 *2 *2 *2 *2 *3)
- (-11 (-4 *3 (-496)) (-5 *1 (-883 *3 *2)) (-4 *2 (-1156 *3)))))
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(((*1 *2 *2 *3 *3 *4)
- (-11 (-5 *4 (-695)) (-4 *3 (-496)) (-5 *1 (-883 *3 *2)) (-4 *2 (-1156 *3)))))
+ (AND (|isDomain| *4 (|NonNegativeInteger|))
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+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))))
(((*1 *2 *2 *2 *3)
- (-11 (-5 *3 (-695)) (-4 *2 (-496)) (-5 *1 (-883 *2 *4)) (-4 *4 (-1156 *2)))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *2 (|IntegralDomain|))
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(((*1 *2 *1 *1)
- (-11 (-5 *2 (-2 (|:| -1974 *1) (|:| -2905 *1))) (-4 *1 (-257))))
+ (AND (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1)))
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((*1 *2 *1 *1)
- (|partial| -11 (-4 *3 (-1014)) (-5 *2 (-2 (|:| |lm| *1) (|:| |rm| *1)))
- (-4 *1 (-335 *3))))
+ (|partial| AND (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|Record| (|:| |lm| *1) (|:| |rm| *1)))
+ (|ofCategory| *1 (|FreeMonoidCategory| *3))))
((*1 *2 *1 *1)
- (-11 (-5 *2 (-2 (|:| -1974 (-695)) (|:| -2905 (-695)))) (-5 *1 (-695))))
+ (AND
+ (|isDomain| *2
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+ (|:| |remainder| #1#)))
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((*1 *2 *3 *3)
- (-11 (-4 *4 (-496)) (-5 *2 (-2 (|:| -1974 *3) (|:| -2905 *3)))
- (-5 *1 (-883 *4 *3)) (-4 *3 (-1156 *4)))))
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3)))
+ (|isDomain| *1 (|PseudoRemainderSequence| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
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+ (AND (|isDomain| *3 (|Identifier|)) (|isDomain| *2 (|Maybe| (|None|)))
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+ (|isDomain| *1 (|BasicOperator|))))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|Identifier|)) (|isDomain| *3 (|SExpression|))
+ (|isDomain| *1 (|Property|)))))
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+ (AND (|isDomain| *1 (|Product| *2 *3)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *3 (|SetCategory|)))))
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+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|PrintPackage|)))))
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+ (|ofCategory| *3 (|IntegerNumberSystem|)))))
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+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|)))
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+ (|:| |pol2| (|SparseUnivariatePolynomial| *3))
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+ (|ofCategory| *3 (|AlgebraicallyClosedField|))
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- (-2 (|:| -3958 (-584 (-485))) (|:| |poly| (-584 (-1086 *5)))
- (|:| |prim| (-1086 *5))))
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+ (|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|))
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- (-2 (|:| -3958 (-584 (-485))) (|:| |poly| (-584 (-1086 *6)))
- (|:| |prim| (-1086 *6))))
- (-5 *1 (-873 *6)))))
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+ (|isDomain| *2
+ (|Record| (|:| |coef| (|List| (|Integer|)))
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- (-4 *2 (-12 (-363 *4) (-916) (-1116)))))
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+ (AND (|isDomain| *3 (|SegmentBinding| *2))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *4) (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|)))
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+ ((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|PrimitiveFunctionCategory|))
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+ ((*1 *1 *1 *2)
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+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|PortNumber|)))))
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+ (AND (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
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+ (|isDomain| *2
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+ (|isDomain| *4 (|NonNegativeInteger|))
+ (|ofCategory| *8
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *3))
+ (SIGNATURE |numer| (*3 $))
+ (SIGNATURE |denom| (*3 $))))))))
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+ (|:| |radicand| *3)))
+ (|isDomain| *1 (|PolynomialRoots| *5 *6 *7 *8 *3))
+ (|isDomain| *4 (|NonNegativeInteger|))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *8))
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+ (SIGNATURE |denom| (*8 $))))))))
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+ (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
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+ (|isDomain| *2
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+ (|:| |radicand| *9)))
+ (|isDomain| *1 (|PolynomialRoots| *5 *6 *7 *8 *9))
+ (|isDomain| *4 (|NonNegativeInteger|))
+ (|ofCategory| *9
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *8))
+ (SIGNATURE |numer| (*8 $))
+ (SIGNATURE |denom| (*8 $))))))))
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+ (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *8)
+ (|:| |radicand| *8)))
+ (|isDomain| *1 (|PolynomialRoots| *5 *6 *3 *7 *8))
+ (|isDomain| *4 (|NonNegativeInteger|))
+ (|ofCategory| *8
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
+ (SIGNATURE |numer| (*7 $))
+ (SIGNATURE |denom| (*7 $))))))))
+(((*1 *2 *1)
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+ (|isDomain| *2 (|Record| (|:| |val| *1) (|:| |exponent| (|Integer|))))
+ (|ofCategory| *1 (|FunctionSpace| *3))))
+ ((*1 *2 *1)
+ (|partial| AND
+ (|isDomain| *2
+ (|Record| (|:| |val| #1=(|Pattern| *3)) (|:| |exponent| #1#)))
+ (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *2 *3)
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+ (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|))
+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))
+ (|isDomain| *2 (|Record| (|:| |val| *3) (|:| |exponent| (|Integer|))))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
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+ (SIGNATURE |denom| (*7 $))))))))
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- (|partial| -11 (-5 *3 (-1091)) (-4 *4 (-962)) (-4 *4 (-1014))
- (-5 *2 (-2 (|:| |var| (-551 *1)) (|:| -2403 (-485)))) (-4 *1 (-363 *4))))
+ (|partial| AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2
+ (|Record| (|:| |var| (|Kernel| *1)) (|:| |exponent| (|Integer|))))
+ (|ofCategory| *1 (|FunctionSpace| *4))))
((*1 *2 *1 *3)
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- (-5 *2 (-2 (|:| |var| (-551 *1)) (|:| -2403 (-485)))) (-4 *1 (-363 *4))))
+ (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *4 (|SetCategory|))
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((*1 *2 *1)
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+ (|partial| AND (|ofCategory| *3 (|SemiGroup|))
+ (|ofCategory| *3 (|SetCategory|))
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+ (|partial| AND
+ (|isDomain| *2
+ (|Record| (|:| |val| (|Pattern| *3))
+ (|:| |exponent| (|NonNegativeInteger|))))
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- (-4 *5 (-757)) (-5 *2 (-2 (|:| |var| *5) (|:| -2403 (-695))))))
+ (|partial| AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))
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((*1 *2 *3)
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- (-4 *3
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+ (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))
+ (|isDomain| *2 (|Record| (|:| |var| *5) (|:| |exponent| (|Integer|))))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
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+ (SIGNATURE |denom| (*7 $))))))))
(((*1 *2 *1)
- (|partial| -11 (-4 *3 (-1026)) (-4 *3 (-1014)) (-5 *2 (-584 *1))
- (-4 *1 (-363 *3))))
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+ (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *1))
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((*1 *2 *1)
- (|partial| -11 (-5 *2 (-584 (-801 *3))) (-5 *1 (-801 *3)) (-4 *3 (-1014))))
+ (|partial| AND (|isDomain| *2 (|List| (|Pattern| *3)))
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((*1 *2 *1)
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- (-4 *1 (-862 *3 *4 *5))))
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((*1 *2 *3)
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- (-4 *3
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- (-10 -8 (-14 -3950 ($ *7)) (-14 -3001 (*7 $)) (-14 -3000 (*7 $))))))))
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+ (|isDomain| *2 (|List| *3))
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+ (|ofCategory| *3
+ (|Join| (|Field|)
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(((*1 *2 *1)
- (|partial| -11 (-4 *3 (-22)) (-4 *3 (-1014)) (-5 *2 (-584 *1))
- (-4 *1 (-363 *3))))
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((*1 *2 *1)
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((*1 *2 *1)
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- (-4 *1 (-862 *3 *4 *5))))
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((*1 *2 *3)
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- (-4 *3
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- (-10 -8 (-14 -3950 ($ *7)) (-14 -3001 (*7 $)) (-14 -3000 (*7 $))))))))
+ (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
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+ (|isDomain| *2 (|List| *3))
+ (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3))
+ (|ofCategory| *3
+ (|Join| (|Field|)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))
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(((*1 *2 *1)
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((*1 *2 *1)
- (-11 (-5 *2 (-584 (-675 *3 *4))) (-5 *1 (-675 *3 *4)) (-4 *3 (-962))
- (-4 *4 (-664))))
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+ (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|))
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((*1 *2 *1)
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+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|))))
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+ ((*1 *2 *1)
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((*1 *2 *1 *3)
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- (-4 *6 (-757)) (-5 *2 (-584 (-695)))))
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((*1 *2 *1 *3)
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- (-5 *2 (-695)))))
+ (AND (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *3 (|OrderedSet|))
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(((*1 *2 *1 *3)
- (-11 (-5 *3 (-584 *6)) (-4 *1 (-862 *4 *5 *6)) (-4 *4 (-962)) (-4 *5 (-718))
- (-4 *6 (-757)) (-5 *2 (-695))))
+ (AND (|isDomain| *3 (|List| *6))
+ (|ofCategory| *1 (|PolynomialCategory| *4 *5 *6))
+ (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *6 (|OrderedSet|))
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((*1 *2 *1)
- (-11 (-4 *1 (-862 *3 *4 *5)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757))
- (-5 *2 (-695)))))
+ (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
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- (-11 (-4 *3 (-962)) (-4 *4 (-718)) (-4 *5 (-757)) (-5 *2 (-584 *1))
- (-4 *1 (-862 *3 *4 *5)))))
+ (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1))
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(((*1 *2 *1)
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+ (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3))
+ (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|))
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- (-5 *1 (-426 *4))))
- ((*1 *2 *1) (-11 (-4 *1 (-762 *2)) (-4 *2 (-962)) (-4 *2 (-392))))
+ (AND (|isDomain| *3 (|List| *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|)))
+ (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|HeuGcd| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2))
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((*1 *1 *1 *2)
- (-11 (-4 *1 (-862 *3 *4 *2)) (-4 *3 (-962)) (-4 *4 (-718)) (-4 *2 (-757))
- (-4 *3 (-392)))))
+ (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2))
+ (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
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- (-5 *2 (-695)) (-5 *1 (-857 *5 *6)) (-4 *6 (-1156 *5)))))
+ (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|Integer|))
+ (|ofCategory| *5 (|OrderedRing|)) (|ofCategory| *5 (|Field|))
+ (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *5 *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|OrderedRing|))
+ (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|))
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+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|OrderedRing|))
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+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *3))
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+(((*1 *2 *3 *3)
+ (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|List| *3))
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+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Polynomial| *5)) (|ofCategory| *5 (|Ring|))
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+ (|isDomain| *1 (|PolToPol| *4 *5)) (|ofType| *4 (|List| (|Symbol|))))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *4 *5))
+ (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Ring|))
+ (|isDomain| *2 (|Polynomial| *5)) (|isDomain| *1 (|PolToPol| *4 *5)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|HomogeneousDistributedMultivariatePolynomial| *4 *5))
+ (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Ring|))
+ (|isDomain| *2 (|Polynomial| *5)) (|isDomain| *1 (|PolToPol| *4 *5)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Polynomial| *5)) (|ofCategory| *5 (|Ring|))
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+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|HomogeneousDistributedMultivariatePolynomial| *4 *5))
+ (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Ring|))
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+ (|isDomain| *1 (|PolToPol| *4 *5)))))
+(((*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 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))
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+ (|isDomain| *3 (|Integer|)))))
(((*1 *2 *3)
- (-11 (-5 *3 (-584 *4)) (-4 *4 (-756)) (-4 *4 (-311)) (-5 *2 (-695))
- (-5 *1 (-857 *4 *5)) (-4 *5 (-1156 *4)))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|)))
+ (|isDomain| *1 (|PolynomialNumberTheoryFunctions|))
+ (|isDomain| *3 (|Integer|)))))
(((*1 *2 *3)
- (-11 (-4 *2 (-311)) (-4 *2 (-756)) (-5 *1 (-857 *2 *3)) (-4 *3 (-1156 *2)))))
+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Integer|)))
+ (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))
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(((*1 *2 *3)
- (-11 (-4 *4 (-311)) (-5 *2 (-584 *3)) (-5 *1 (-857 *4 *3))
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-(((*1 *2 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-500))))
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-(((*1 *2 *3) (-11 (-5 *3 (-1086 (-485))) (-5 *2 (-485)) (-5 *1 (-854)))))
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- ((*1 *2 *3) (-11 (-5 *2 (-1086 (-485))) (-5 *1 (-854)) (-5 *3 (-485)))))
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- ((*1 *2 *3) (-11 (-5 *2 (-1086 (-485))) (-5 *1 (-854)) (-5 *3 (-485)))))
-(((*1 *2 *3) (-11 (-5 *2 (-349 (-485))) (-5 *1 (-500)) (-5 *3 (-485))))
- ((*1 *2 *3) (-11 (-5 *2 (-1086 (-349 (-485)))) (-5 *1 (-854)) (-5 *3 (-485)))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|)))
+ (|isDomain| *1 (|CyclotomicPolynomialPackage|))
+ (|isDomain| *3 (|Integer|))))
+ ((*1 *2 *3 *2)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *1 (|NumberTheoreticPolynomialFunctions| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|)))
+ (|isDomain| *1 (|PolynomialNumberTheoryFunctions|))
+ (|isDomain| *3 (|Integer|)))))
+(((*1 *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 *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 (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|))
+ (|isDomain| *3 (|Integer|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|PolynomialNumberTheoryFunctions|))
+ (|isDomain| *3 (|Integer|)))))
(((*1 *2 *3 *4 *2 *5)
- (-11 (-5 *3 (-584 *8)) (-5 *4 (-584 (-801 *6)))
- (-5 *5 (-1 (-799 *6 *8) *8 (-801 *6) (-799 *6 *8))) (-4 *6 (-1014))
- (-4 *8 (-12 (-962) (-554 (-801 *6)) (-951 *7))) (-5 *2 (-799 *6 *8))
- (-4 *7 (-962)) (-5 *1 (-853 *6 *7 *8)))))
+ (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| (|Pattern| *6)))
+ (|isDomain| *5
+ (|Mapping| #1=(|PatternMatchResult| *6 *8) *8 (|Pattern| *6) #1#))
+ (|ofCategory| *6 (|SetCategory|))
+ (|ofCategory| *8
+ (|Join| (|Ring|) (|ConvertibleTo| (|Pattern| *6))
+ (|RetractableTo| *7)))
+ (|isDomain| *2 (|PatternMatchResult| *6 *8)) (|ofCategory| *7 (|Ring|))
+ (|isDomain| *1 (|PatternMatchTools| *6 *7 *8)))))
(((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 *5 *3)) (-5 *4 (-801 *5)) (-4 *5 (-1014)) (-4 *3 (-138 *6))
- (-4 (-858 *6) (-797 *5)) (-4 *6 (-12 (-797 *5) (-145)))
- (-5 *1 (-151 *5 *6 *3))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *5 *3))
+ (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *3 (|ComplexCategory| *6))
+ (|ofCategory| (|Polynomial| *6) (|PatternMatchable| *5))
+ (|ofCategory| *6 (|Join| (|PatternMatchable| *5) (|CommutativeRing|)))
+ (|isDomain| *1 (|ComplexPatternMatch| *5 *6 *3))))
((*1 *2 *1 *3 *2)
- (-11 (-5 *2 (-799 *4 *1)) (-5 *3 (-801 *4)) (-4 *1 (-797 *4))
- (-4 *4 (-1014))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *4 *1))
+ (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *1 (|PatternMatchable| *4))
+ (|ofCategory| *4 (|SetCategory|))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 *5 *6)) (-5 *4 (-801 *5)) (-4 *5 (-1014))
- (-4 *6 (-12 (-1014) (-951 *3))) (-4 *3 (-797 *5)) (-5 *1 (-843 *5 *3 *6))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *5 *6))
+ (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *6 (|Join| (|SetCategory|) (|RetractableTo| *3)))
+ (|ofCategory| *3 (|PatternMatchable| *5))
+ (|isDomain| *1 (|PatternMatchPushDown| *5 *3 *6))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 *5 *3)) (-4 *5 (-1014))
- (-4 *3 (-12 (-363 *6) (-554 *4) (-797 *5) (-951 (-551 $))))
- (-5 *4 (-801 *5)) (-4 *6 (-12 (-496) (-797 *5))) (-5 *1 (-844 *5 *6 *3))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *5 *3))
+ (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *3
+ (|Join| (|FunctionSpace| *6) (|ConvertibleTo| *4)
+ (|PatternMatchable| *5)
+ (|RetractableTo| (|Kernel| $))))
+ (|isDomain| *4 (|Pattern| *5))
+ (|ofCategory| *6 (|Join| (|IntegralDomain|) (|PatternMatchable| *5)))
+ (|isDomain| *1 (|PatternMatchFunctionSpace| *5 *6 *3))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 (-485) *3)) (-5 *4 (-801 (-485))) (-4 *3 (-484))
- (-5 *1 (-845 *3))))
+ (AND (|isDomain| *2 (|PatternMatchResult| (|Integer|) *3))
+ (|isDomain| *4 (|Pattern| (|Integer|)))
+ (|ofCategory| *3 (|IntegerNumberSystem|))
+ (|isDomain| *1 (|PatternMatchIntegerNumberSystem| *3))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 *5 *6)) (-5 *3 (-551 *6)) (-4 *5 (-1014))
- (-4 *6 (-12 (-1014) (-951 (-551 $)) (-554 *4) (-797 *5))) (-5 *4 (-801 *5))
- (-5 *1 (-846 *5 *6))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *5 *6))
+ (|isDomain| *3 (|Kernel| *6)) (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *6
+ (|Join| (|SetCategory|) (|RetractableTo| (|Kernel| $))
+ (|ConvertibleTo| *4) (|PatternMatchable| *5)))
+ (|isDomain| *4 (|Pattern| *5))
+ (|isDomain| *1 (|PatternMatchKernel| *5 *6))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-796 *5 *6 *3)) (-5 *4 (-801 *5)) (-4 *5 (-1014))
- (-4 *6 (-797 *5)) (-4 *3 (-609 *6)) (-5 *1 (-847 *5 *6 *3))))
+ (AND (|isDomain| *2 (|PatternMatchListResult| *5 *6 *3))
+ (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *6 (|PatternMatchable| *5))
+ (|ofCategory| *3 (|ListAggregate| *6))
+ (|isDomain| *1 (|PatternMatchListAggregate| *5 *6 *3))))
((*1 *2 *3 *4 *2 *5)
- (-11 (-5 *5 (-1 (-799 *6 *3) *8 (-801 *6) (-799 *6 *3))) (-4 *8 (-757))
- (-5 *2 (-799 *6 *3)) (-5 *4 (-801 *6)) (-4 *6 (-1014))
- (-4 *3 (-12 (-862 *9 *7 *8) (-554 *4))) (-4 *7 (-718))
- (-4 *9 (-12 (-962) (-797 *6))) (-5 *1 (-848 *6 *7 *8 *9 *3))))
+ (AND
+ (|isDomain| *5
+ (|Mapping| #1=(|PatternMatchResult| *6 *3) *8 (|Pattern| *6) #1#))
+ (|ofCategory| *8 (|OrderedSet|))
+ (|isDomain| *2 (|PatternMatchResult| *6 *3)) (|isDomain| *4 (|Pattern| *6))
+ (|ofCategory| *6 (|SetCategory|))
+ (|ofCategory| *3
+ (|Join| (|PolynomialCategory| *9 *7 *8) (|ConvertibleTo| *4)))
+ (|ofCategory| *7 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *9 (|Join| (|Ring|) (|PatternMatchable| *6)))
+ (|isDomain| *1 (|PatternMatchPolynomialCategory| *6 *7 *8 *9 *3))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 *5 *3)) (-4 *5 (-1014))
- (-4 *3 (-12 (-862 *8 *6 *7) (-554 *4))) (-5 *4 (-801 *5)) (-4 *7 (-797 *5))
- (-4 *6 (-718)) (-4 *7 (-757)) (-4 *8 (-12 (-962) (-797 *5)))
- (-5 *1 (-848 *5 *6 *7 *8 *3))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *5 *3))
+ (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *3
+ (|Join| (|PolynomialCategory| *8 *6 *7)
+ (|ConvertibleTo| *4)))
+ (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *7 (|PatternMatchable| *5))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *7 (|OrderedSet|))
+ (|ofCategory| *8 (|Join| (|Ring|) (|PatternMatchable| *5)))
+ (|isDomain| *1 (|PatternMatchPolynomialCategory| *5 *6 *7 *8 *3))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 *5 *3)) (-4 *5 (-1014)) (-4 *3 (-905 *6))
- (-4 *6 (-12 (-496) (-797 *5) (-554 *4))) (-5 *4 (-801 *5))
- (-5 *1 (-851 *5 *6 *3))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *5 *3))
+ (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *3 (|QuotientFieldCategory| *6))
+ (|ofCategory| *6
+ (|Join| (|IntegralDomain|) (|PatternMatchable| *5)
+ (|ConvertibleTo| *4)))
+ (|isDomain| *4 (|Pattern| *5))
+ (|isDomain| *1 (|PatternMatchQuotientFieldCategory| *5 *6 *3))))
((*1 *2 *3 *4 *2)
- (-11 (-5 *2 (-799 *5 (-1091))) (-5 *3 (-1091)) (-5 *4 (-801 *5))
- (-4 *5 (-1014)) (-5 *1 (-852 *5))))
+ (AND (|isDomain| *2 (|PatternMatchResult| *5 (|Symbol|)))
+ (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Pattern| *5))
+ (|ofCategory| *5 (|SetCategory|))
+ (|isDomain| *1 (|PatternMatchSymbol| *5))))
((*1 *2 *3 *4 *5 *2 *6)
- (-11 (-5 *4 (-584 (-801 *7))) (-5 *5 (-1 *9 (-584 *9)))
- (-5 *6 (-1 (-799 *7 *9) *9 (-801 *7) (-799 *7 *9))) (-4 *7 (-1014))
- (-4 *9 (-12 (-962) (-554 (-801 *7)) (-951 *8))) (-5 *2 (-799 *7 *9))
- (-5 *3 (-584 *9)) (-4 *8 (-962)) (-5 *1 (-853 *7 *8 *9)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1 (-82) *6)) (-4 *6 (-12 (-1014) (-951 *5))) (-4 *5 (-797 *4))
- (-4 *4 (-1014)) (-5 *2 (-1 (-82) *5)) (-5 *1 (-843 *4 *5 *6)))))
-(((*1 *2 *3) (-11 (-5 *3 (-1091)) (-5 *2 (-264 (-485))) (-5 *1 (-841))))
- ((*1 *2 *2) (-11 (-4 *3 (-1014)) (-5 *1 (-842 *3 *2)) (-4 *2 (-363 *3)))))
-(((*1 *2 *3) (-11 (-5 *3 (-1091)) (-5 *2 (-264 (-485))) (-5 *1 (-841))))
- ((*1 *2 *2) (-11 (-4 *3 (-1014)) (-5 *1 (-842 *3 *2)) (-4 *2 (-363 *3)))))
-(((*1 *1 *1 *2) (-11 (-5 *2 (-447)) (-5 *1 (-83))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-1091)) (-5 *4 (-447)) (-5 *2 (-264 (-485))) (-5 *1 (-841))))
+ (AND (|isDomain| *4 (|List| (|Pattern| *7)))
+ (|isDomain| *5 (|Mapping| *9 (|List| *9)))
+ (|isDomain| *6
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- (-4 *8 (-12 (-757) (-554 (-1091)))) (-4 *9 (-718)) (-5 *2 (-485))
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((*1 *2 *3 *4 *5)
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(((*1 *2 *3)
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(((*1 *2 *3 *1)
- (-11 (-4 *1 (-833)) (-5 *2 (-633 (-584 *1))) (-5 *3 (-584 *1)))))
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(((*1 *2 *2 *2)
- (-11 (-4 *3 (-718)) (-4 *4 (-757)) (-4 *5 (-257)) (-5 *1 (-828 *3 *4 *5 *2))
- (-4 *2 (-862 *5 *3 *4))))
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+ (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|EuclideanDomain|))
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((*1 *2 *2 *2)
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- (-4 *5 (-257)) (-5 *1 (-828 *3 *4 *5 *6))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *6))
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((*1 *2 *3)
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-(((*1 *1 *2 *3) (-11 (-5 *3 (-347 *2)) (-4 *2 (-257)) (-5 *1 (-826 *2))))
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((*1 *2 *3 *4)
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- (-5 *2 (-48)) (-5 *1 (-827 *5))))
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+ (|isDomain| *4 (|Symbol|))
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((*1 *2 *3 *4 *5)
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+ (|isDomain| *2 (|Record| (|:| |adjMat| *3) (|:| |detMat| *4)))
+ (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *4 *5 *6 *3))
+ (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))
((*1 *1 *1 *1)
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+ (|isDomain| *1 (|ModuleOperator| *2 *3))
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- ((*1 *1 *1) (-11 (-5 *1 (-746 *2)) (-4 *2 (-145)) (-4 *2 (-962)))))
+ (AND (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Ring|))
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+ (|ofCategory| *3 (|LeftModule| *2))))
+ ((*1 *1 *1 *1)
+ (AND (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|CommutativeRing|))
+ (|ofCategory| *2 (|Ring|))))
+ ((*1 *1 *1)
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- ((*1 *2 *2) (-11 (-5 *1 (-746 *2)) (-4 *2 (-145)) (-4 *2 (-962)))))
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+ (|isDomain| *1 (|ModuleOperator| *2 *3))
+ (|ofCategory| *3 (|LeftModule| *2))))
+ ((*1 *2 *2)
+ (AND (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|CommutativeRing|))
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(((*1 *2 *3 *4)
- (|partial| -11 (-5 *3 (-83)) (-5 *4 (-584 *2)) (-5 *1 (-84 *2))
- (-4 *2 (-1014))))
+ (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|List| *2))
+ (|isDomain| *1 (|BasicOperatorFunctions1| *2))
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- (-5 *1 (-84 *4))))
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+ (|isDomain| *3 (|Mapping| *4 (|List| *4)))
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((*1 *2 *2 *3)
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- (|partial| -11 (-5 *3 (-83)) (-5 *2 (-1 *4 (-584 *4))) (-5 *1 (-84 *4))
- (-4 *4 (-1014))))
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- ((*1 *1 *1 *2) (-11 (-5 *2 (-1 *3 *3)) (-4 *3 (-962)) (-5 *1 (-746 *3)))))
+ (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|))
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- ((*1 *1 *1 *2) (-11 (-5 *2 (-1 *3 *3)) (-4 *3 (-962)) (-5 *1 (-746 *3)))))
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+ (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *3 *4))))
+ ((*1 *1 *1 *2)
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- ((*1 *2 *3 *2) (-11 (-5 *3 (-83)) (-5 *1 (-746 *2)) (-4 *2 (-962)))))
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+ (|isDomain| *1 (|ModuleOperator| *4 *2))
+ (|ofCategory| *2 (|LeftModule| *4))))
+ ((*1 *2 *3 *2)
+ (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *1 (|Operator| *2))
+ (|ofCategory| *2 (|Ring|)))))
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- ((*1 *1 *2 *3) (-11 (-5 *3 (-309 (-83))) (-5 *1 (-746 *2)) (-4 *2 (-962)))))
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-(((*1 *1 *2) (-11 (-4 *3 (-962)) (-5 *1 (-742 *2 *3)) (-4 *2 (-646 *3)))))
-(((*1 *2 *1) (-11 (-4 *2 (-646 *3)) (-5 *1 (-742 *2 *3)) (-4 *3 (-962)))))
-(((*1 *2 *1 *1) (-11 (-5 *2 (-82)) (-5 *1 (-615 *3)) (-4 *3 (-757))))
- ((*1 *2 *1 *1) (-11 (-5 *2 (-82)) (-5 *1 (-619 *3)) (-4 *3 (-757))))
- ((*1 *2 *1 *1) (-11 (-5 *2 (-82)) (-5 *1 (-740 *3)) (-4 *3 (-757)))))
+ (AND (|isDomain| *3 (|FreeGroup| (|BasicOperator|)))
+ (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *2 *4))
+ (|ofCategory| *4 (|LeftModule| *2))))
+ ((*1 *1 *2 *3)
+ (AND (|isDomain| *3 (|FreeGroup| (|BasicOperator|)))
+ (|isDomain| *1 (|Operator| *2)) (|ofCategory| *2 (|Ring|)))))
+(((*1 *2)
+ (AND (|isDomain| *2 (|OnePointCompletion| (|Integer|)))
+ (|isDomain| *1 (|Infinity|))))
+ ((*1 *1)
+ (AND (|isDomain| *1 (|OnePointCompletion| *2))
+ (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *1 *2)
+ (AND (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|OppositeMonogenicLinearOperator| *2 *3))
+ (|ofCategory| *2 (|MonogenicLinearOperator| *3)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *2 (|MonogenicLinearOperator| *3))
+ (|isDomain| *1 (|OppositeMonogenicLinearOperator| *2 *3))
+ (|ofCategory| *3 (|Ring|)))))
+(((*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 *4 *5)
- (|partial| -11 (-5 *5 (-584 *4)) (-4 *4 (-311)) (-5 *2 (-1180 *4))
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- (-4 *5 (-601 *4))))
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- (-11 (-5 *3 (-584 *5)) (-5 *4 (-695)) (-4 *5 (-311)) (-5 *2 (-631 *5))
- (-5 *1 (-735 *5 *6)) (-4 *6 (-601 *5)))))
+ (|partial| AND (|isDomain| *5 (|List| *4)) (|ofCategory| *4 (|Field|))
+ (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|ODETools| *4 *3))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4)))))
+(((*1 *2 *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 *4)
- (-11 (-5 *3 (-584 (-858 *5))) (-5 *4 (-584 (-1091))) (-4 *5 (-496))
- (-5 *2 (-584 (-584 (-248 (-349 (-858 *5)))))) (-5 *1 (-694 *5))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| *5)))
+ (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2
+ (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *5))))))
+ (|isDomain| *1 (|NonLinearSolvePackage| *5))))
((*1 *2 *3)
- (-11 (-5 *3 (-584 (-858 *4))) (-4 *4 (-496))
- (-5 *2 (-584 (-584 (-248 (-349 (-858 *4)))))) (-5 *1 (-694 *4))))
+ (AND (|isDomain| *3 (|List| (|Polynomial| *4)))
+ (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2
+ (|List| (|List| (|Equation| (|Fraction| (|Polynomial| *4))))))
+ (|isDomain| *1 (|NonLinearSolvePackage| *4))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-631 *7))
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- (-1 (-2 (|:| |particular| (-3 *6 "failed")) (|:| -2014 (-584 *6))) *7 *6))
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- (-5 *2
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- (|:| -2014 (-584 (-1180 *6)))))
- (-5 *1 (-734 *6 *7)) (-5 *4 (-1180 *6)))))
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- (|:| |rh| *5))))))
- (-5 *1 (-734 *5 *6)) (-5 *3 (-631 *5)) (-5 *4 (-1180 *5))
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-(((*1 *2 *3 *4)
- (-11 (-5 *3 (-598 (-349 *6))) (-5 *4 (-1 (-584 *5) *6))
- (-4 *5 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-4 *6 (-1156 *5)) (-5 *2 (-584 (-349 *6))) (-5 *1 (-733 *5 *6))))
+ (AND (|isDomain| *3 (|Matrix| *7))
+ (|isDomain| *5
+ (|Mapping|
+ (|Record| (|:| |particular| (|Union| *6 "failed"))
+ (|:| |basis| (|List| *6)))
+ *7 *6))
+ (|ofCategory| *6 (|Field|))
+ (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| *6))
+ (|isDomain| *2
+ (|Record| (|:| |particular| (|Union| #1=(|Vector| *6) "failed"))
+ (|:| |basis| (|List| #1#))))
+ (|isDomain| *1 (|SystemODESolver| *6 *7))
+ (|isDomain| *4 (|Vector| *6)))))
+(((*1 *2 *3 *4)
+ (AND (|ofCategory| *5 (|Field|))
+ (|isDomain| *2
+ (|Record| (|:| A #1=(|Matrix| *5))
+ (|:| |eqs|
+ (|List|
+ (|Record| (|:| C #1#) (|:| |g| (|Vector| *5))
+ (|:| |eq| *6) (|:| |rh| *5))))))
+ (|isDomain| *1 (|SystemODESolver| *5 *6)) (|isDomain| *3 (|Matrix| *5))
+ (|isDomain| *4 (|Vector| *5))
+ (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5))))
+ ((*1 *2 *3 *4)
+ (AND (|ofCategory| *5 (|Field|))
+ (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| *5))
+ (|isDomain| *2
+ (|Record| (|:| |mat| (|Matrix| *6)) (|:| |vec| (|Vector| *5))))
+ (|isDomain| *1 (|SystemODESolver| *5 *6)) (|isDomain| *3 (|Matrix| *6))
+ (|isDomain| *4 (|Vector| *5)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6)))
+ (|isDomain| *4 (|Mapping| (|List| *5) *6))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|isDomain| *2 (|List| (|Fraction| *6)))
+ (|isDomain| *1 (|RationalRicDE| *5 *6))))
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- (-11 (-5 *3 (-598 (-349 *7))) (-5 *4 (-1 (-584 *6) *7))
- (-5 *5 (-1 (-347 *7) *7))
- (-4 *6 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-4 *7 (-1156 *6)) (-5 *2 (-584 (-349 *7))) (-5 *1 (-733 *6 *7))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-599 *6 (-349 *6))) (-5 *4 (-1 (-584 *5) *6))
- (-4 *5 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-4 *6 (-1156 *5)) (-5 *2 (-584 (-349 *6))) (-5 *1 (-733 *5 *6))))
+ (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *7)))
+ (|isDomain| *4 (|Mapping| (|List| *6) *7))
+ (|isDomain| *5 (|Mapping| (|Factored| *7) *7))
+ (|ofCategory| *6
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))
+ (|isDomain| *2 (|List| (|Fraction| *7)))
+ (|isDomain| *1 (|RationalRicDE| *6 *7))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))
+ (|isDomain| *4 (|Mapping| (|List| *5) *6))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|isDomain| *2 (|List| (|Fraction| *6)))
+ (|isDomain| *1 (|RationalRicDE| *5 *6))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-599 *7 (-349 *7))) (-5 *4 (-1 (-584 *6) *7))
- (-5 *5 (-1 (-347 *7) *7))
- (-4 *6 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-4 *7 (-1156 *6)) (-5 *2 (-584 (-349 *7))) (-5 *1 (-733 *6 *7))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-598 (-349 *5))) (-4 *5 (-1156 *4)) (-4 *4 (-24))
- (-4 *4 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-5 *2 (-584 (-349 *5))) (-5 *1 (-733 *4 *5))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-598 (-349 *6))) (-5 *4 (-1 (-347 *6) *6)) (-4 *6 (-1156 *5))
- (-4 *5 (-24)) (-4 *5 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-5 *2 (-584 (-349 *6))) (-5 *1 (-733 *5 *6))))
- ((*1 *2 *3)
- (-11 (-5 *3 (-599 *5 (-349 *5))) (-4 *5 (-1156 *4)) (-4 *4 (-24))
- (-4 *4 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-5 *2 (-584 (-349 *5))) (-5 *1 (-733 *4 *5))))
- ((*1 *2 *3 *4)
- (-11 (-5 *3 (-599 *6 (-349 *6))) (-5 *4 (-1 (-347 *6) *6)) (-4 *6 (-1156 *5))
- (-4 *5 (-24)) (-4 *5 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-5 *2 (-584 (-349 *6))) (-5 *1 (-733 *5 *6)))))
-(((*1 *2 *3 *4)
- (-11 (-5 *4 (-1 (-584 *5) *6))
- (-4 *5 (-12 (-311) (-117) (-951 (-349 (-485))))) (-4 *6 (-1156 *5))
- (-5 *2 (-584 (-2 (|:| |poly| *6) (|:| -3269 *3))))
- (-5 *1 (-730 *5 *6 *3 *7)) (-4 *3 (-601 *6)) (-4 *7 (-601 (-349 *6)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-1 (-584 *5) *6))
- (-4 *5 (-12 (-311) (-117) (-951 (-485)) (-951 (-349 (-485)))))
- (-4 *6 (-1156 *5))
- (-5 *2 (-584 (-2 (|:| |poly| *6) (|:| -3269 (-599 *6 (-349 *6))))))
- (-5 *1 (-733 *5 *6)) (-5 *3 (-599 *6 (-349 *6))))))
+ (AND
+ (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *7 (|Fraction| *7)))
+ (|isDomain| *4 (|Mapping| (|List| *6) *7))
+ (|isDomain| *5 (|Mapping| (|Factored| *7) *7))
+ (|ofCategory| *6
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))
+ (|isDomain| *2 (|List| (|Fraction| *7)))
+ (|isDomain| *1 (|RationalRicDE| *6 *7))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5)))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *4 (|AlgebraicallyClosedField|))
+ (|ofCategory| *4
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Fraction| *5)))
+ (|isDomain| *1 (|RationalRicDE| *4 *5))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6)))
+ (|isDomain| *4 (|Mapping| (|Factored| *6) *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5 (|AlgebraicallyClosedField|))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Fraction| *6)))
+ (|isDomain| *1 (|RationalRicDE| *5 *6))))
+ ((*1 *2 *3)
+ (AND
+ (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *5 (|Fraction| *5)))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *4 (|AlgebraicallyClosedField|))
+ (|ofCategory| *4
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Fraction| *5)))
+ (|isDomain| *1 (|RationalRicDE| *4 *5))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))
+ (|isDomain| *4 (|Mapping| (|Factored| *6) *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5 (|AlgebraicallyClosedField|))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Fraction| *6)))
+ (|isDomain| *1 (|RationalRicDE| *5 *6)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Mapping| (|List| *5) *6))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|isDomain| *2 (|List| (|Record| (|:| |poly| *6) (|:| |eq| *3))))
+ (|isDomain| *1 (|PrimitiveRatRicDE| *5 *6 *3 *7))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *6))
+ (|ofCategory| *7
+ (|LinearOrdinaryDifferentialOperatorCategory|
+ (|Fraction| *6)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Mapping| (|List| *5) *6))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |poly| *6)
+ (|:| |eq|
+ (|LinearOrdinaryDifferentialOperator2| *6
+ (|Fraction|
+ *6))))))
+ (|isDomain| *1 (|RationalRicDE| *5 *6))
+ (|isDomain| *3
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(((*1 *2 *2 *3)
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- (-5 *1 (-727 *4 *2)) (-4 *2 (-12 (-26 *4) (-1116) (-872))))))
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+ (|isDomain| *2 (|Polynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|NumericRealEigenPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Integer|))))
+ (|isDomain| *4 (|Symbol|))
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+ (|ofCategory| *5 (|Join| (|Field|) (|OrderedRing|))))))
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+ (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
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+ (|isDomain| *1 (|NPCoef| *3 *4 *5 *6 *7))
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- (-5 *1 (-700 *5 *6 *7 *3 *4)) (-4 *4 (-984 *5 *6 *7 *3)))))
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+ (|List|
+ (|Record| (|:| |expt| (|NonNegativeInteger|))
+ (|:| |pcoef| *10)))))
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+ (AND (|ofCategory| *4 (|FiniteFieldCategory|))
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+ (|isDomain| *1 (|NormRetractPackage| *4 *5 *6 *3 *7))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *6))
+ (|ofType| *7 (|PositiveInteger|)))))
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+ (AND (|ofCategory| *5 (|GcdDomain|))
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+ (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4))))
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- (-4 *5 (-984 *6 *7 *8 *4)))))
+ (AND (|isDomain| *3 (|String|)) (|ofCategory| *6 (|GcdDomain|))
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(((*1 *2 *2)
- (-11 (-4 *3 (-12 (-496) (-951 (-485)) (-581 (-485)))) (-5 *1 (-230 *3 *2))
- (-4 *2 (-12 (-24) (-1116) (-363 *3)))))
+ (AND
+ (|ofCategory| *3
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
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+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *3)))))
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+ (AND (|isDomain| *3 (|Symbol|))
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+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))
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+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *4)))))
+ ((*1 *1 *1) (|isDomain| *1 (|Float|)))
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+ (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *2 (|RecursivePolynomialCategory| *4 *5 *6))
+ (|isDomain| *1 (|NormalizationPackage| *4 *5 *6 *2 *3))
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+ ((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|NonNegativeInteger|)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Hostname|)) (|isDomain| *4 (|PortNumber|))
+ (|isDomain| *2 (|Maybe| (|InetClientStreamSocket|)))
+ (|isDomain| *1 (|InetClientStreamSocket|))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|PortNumber|)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|Maybe| *1))
+ (|ofCategory| *1 (|NetworkClientSocket| *3)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|NetworkClientSocket| *3))
+ (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Matrix| (|Complex| (|Fraction| (|Integer|)))))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |outval| (|Complex| *4)) (|:| |outmult| (|Integer|))
+ (|:| |outvect| (|List| (|Matrix| (|Complex| *4)))))))
+ (|isDomain| *1 (|NumericComplexEigenPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Matrix| (|Complex| (|Fraction| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Complex| *4)))
+ (|isDomain| *1 (|NumericComplexEigenPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))))
+(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|Group|)))
+ ((*1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|))))
+(((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|PositiveInteger|))
+ (|ofCategory| *1 (|NonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|)))))
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- (-4 *5 (-757)) (-5 *1 (-682 *4 *5 *6 *7)) (-4 *7 (-862 *6 *4 *5)))))
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *6))
+ (|isDomain| *3 (|Integer|)) (|ofCategory| *6 (|EuclideanDomain|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7))
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- (-5 *1 (-682 *6 *7 *8 *9)) (-5 *5 (-695)))))
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+ (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|OrderedSet|))
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- (-5 *1 (-682 *5 *6 *7 *2)) (-4 *5 (-718)) (-4 *6 (-757)) (-4 *7 (-257)))))
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- (|:| |ctpol| *8)))
- (-5 *1 (-682 *6 *7 *8 *9)))))
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+ (|Record|
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+ (|:| |exponent| (|Integer|)))))
+ (|:| |ctpol| *8)))
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- (-5 *1 (-682 *6 *7 *8 *9)) (-5 *3 (-1086 *9)))))
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+ (|Record|
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+ (|isDomain| *3
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- (-13 *7 (-1 (-3 *3 "failed") *3 *3 *4))))
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- (-13 *6 (-1 (-3 *2 "failed") *2 *2 *3))))
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+ (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LyndonWord| *3)))))
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- (-5 *1 (-615 *5)))))
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- (-5 *2
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- (|:| -2014 (-584 (-1180 (-349 *8))))))
- (-5 *1 (-612 *5 *6 *7 *8)))))
+ (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *7))
+ (|ofCategory| *7 (|OrderedSet|))
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+ (|ofCategory| *5 (|IntegralDomain|))
+ (|ofCategory| *6 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *2
+ (|Record|
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+ (|:| |basis| (|List| (|Vector| (|Fraction| *8))))))
+ (|isDomain| *1 (|LinearSystemPolynomialPackage| *5 *6 *7 *8)))))
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- (-11 (-4 *5 (-311)) (-4 *6 (-12 (-323 *5) (-1036 *5)))
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- (-5 *1 (-611 *5)))))
+ (AND (|ofCategory| *5 (|Field|))
+ (|ofCategory| *6
+ (|Join| (|FiniteLinearAggregate| *5)
+ (|ShallowlyMutableAggregate| *5)))
+ (|ofCategory| *4
+ (|Join| (|FiniteLinearAggregate| *5)
+ (|ShallowlyMutableAggregate| *5)))
+ (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|LinearSystemMatrixPackage| *5 *6 *4 *3))
+ (|ofCategory| *3 (|MatrixCategory| *5 *6 *4))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Matrix| *5)) (|isDomain| *4 (|Vector| *5))
+ (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|LinearSystemMatrixPackage1| *5)))))
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-(((*1 *1 *1 *1) (-4 *1 (-605))))
-(((*1 *1 *1 *1) (-11 (-4 *1 (-601 *2)) (-4 *2 (-962)) (-4 *2 (-311))))
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+ (|isDomain| *3 (|SparseUnivariatePolynomial| *4))
+ (|ofCategory| *4 (|PolynomialFactorizationExplicit|))
+ (|isDomain| *1 (|LinearPolynomialEquationByFractions| *4)))))
+(((*1 *1 *1) (|ofCategory| *1 (|Logic|))))
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+(((*1 *1 *1 *1) (|ofCategory| *1 (|Logic|))))
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- (-4 *2 (-601 *4)))))
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+ (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorsOps| *4 *2))
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(((*1 *1 *1 *2)
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- (-4 *2 (-601 *5)))))
-(((*1 *1 *1 *1) (-11 (-4 *1 (-601 *2)) (-4 *2 (-962)) (-4 *2 (-311))))
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+ (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *5)))))
+(((*1 *1 *1 *1)
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- (-5 *1 (-592 *3 *4 *5)) (-4 *3 (-1014)) (-4 *4 (-20)) (-13 *5 *4))))
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+ (AND (|ofCategory| *4 (|AlgebraicallyClosedField|))
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+ (|Join| (|Field|) (|CharacteristicZero|)
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+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
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- (-13 *5 *2))))
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+ (|ofCategory| *2 (|Type|))))
+ ((*1 *2 *2)
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+ (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
+ ((*1 *1 *1)
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+ (|ofType| *4 *3))))
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+ (|ofCategory| *1 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|Type|))))
((*1 *1 *1)
- (-11 (-5 *1 (-592 *2 *3 *4)) (-4 *2 (-1014)) (-4 *3 (-20)) (-13 *4 *3))))
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+ (|ofType| *4 *3))))
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- (-11 (-5 *1 (-592 *2 *3 *4)) (-4 *2 (-1014)) (-4 *3 (-20)) (-13 *4 *3))))
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+ (|ofType| *4 *3))))
(((*1 *1 *2 *1)
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((*1 *1 *2 *3 *1)
- (-11 (-5 *1 (-592 *2 *3 *4)) (-4 *2 (-1014)) (-4 *3 (-20)) (-13 *4 *3))))
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- (-13 *5 *4))))
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+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|))
+ (|ofType| *5 *4))))
(((*1 *1 *2 *1)
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+ (AND (|isDomain| *2 (|Mapping| (|Integer|) (|Integer|)))
+ (|isDomain| *1 (|FreeGroup| *3)) (|ofCategory| *3 (|SetCategory|))))
((*1 *1 *2 *1)
- (-11 (-5 *2 (-1 (-695) (-695))) (-4 *1 (-335 *3)) (-4 *3 (-1014))))
+ (AND
+ (|isDomain| *2 (|Mapping| (|NonNegativeInteger|) (|NonNegativeInteger|)))
+ (|ofCategory| *1 (|FreeMonoidCategory| *3))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *1 *2 *1)
- (-11 (-5 *2 (-1 *4 *4)) (-4 *4 (-20)) (-13 *5 *4) (-5 *1 (-592 *3 *4 *5))
- (-4 *3 (-1014)))))
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+ (|ofType| *5 *4) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5))
+ (|ofCategory| *3 (|SetCategory|)))))
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- ((*1 *1 *2 *1) (-11 (-5 *2 (-1 *3 *3)) (-4 *1 (-335 *3)) (-4 *3 (-1014))))
+ (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| *1 (|FreeMonoidCategory| *3))
+ (|ofCategory| *3 (|SetCategory|))))
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-(((*1 *1 *1 *1) (-11 (-5 *1 (-584 *2)) (-4 *2 (-1014)) (-4 *2 (-1130)))))
+ (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *1 (|ListMonoidOps| *3 *4 *5))
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+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *1 *2 *2 *1)
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+ (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|List| *3))
+ (|ofCategory| *3 (|Type|)))))
+(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|)))))
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+ (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *2 (|Type|)))))
+(((*1 *1 *1 *1)
+ (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|))
+ (|ofCategory| *2 (|Type|)))))
+(((*1 *1 *1 *1)
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+ (|ofCategory| *2 (|Type|)))))
(((*1 *1 *2)
- (-11 (-5 *2 (-584 *3)) (-4 *3 (-311)) (-5 *1 (-582 *3 *4))
- (-13 *4 (-584 (-1091))))))
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|))
+ (|isDomain| *1 (|LinearForm| *3 *4)) (|ofType| *4 (|List| (|Symbol|))))))
(((*1 *2 *3 *1)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-581 *4)) (-4 *4 (-962))
- (-5 *2 (-2 (|:| |mat| (-631 *4)) (|:| |vec| (-1180 *4))))))
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|LinearlyExplicitRingOver| *4))
+ (|ofCategory| *4 (|Ring|))
+ (|isDomain| *2
+ (|Record| (|:| |mat| (|Matrix| *4)) (|:| |vec| (|Vector| *4))))))
((*1 *2 *3)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-581 *4)) (-4 *4 (-962)) (-5 *2 (-631 *4)))))
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|LinearlyExplicitRingOver| *4))
+ (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Matrix| *4)))))
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- (-5 *2 (-2 (|:| |mat| (-631 *5)) (|:| |vec| (-1180 *5))))))
+ (AND (|isDomain| *3 (|Matrix| *1)) (|isDomain| *4 (|Vector| *1))
+ (|ofCategory| *1 (|LinearlyExplicitRingOver| *5))
+ (|ofCategory| *5 (|Ring|))
+ (|isDomain| *2
+ (|Record| (|:| |mat| (|Matrix| *5)) (|:| |vec| (|Vector| *5))))))
((*1 *2 *3)
- (-11 (-5 *3 (-631 *1)) (-4 *1 (-581 *4)) (-4 *4 (-962)) (-5 *2 (-631 *4)))))
+ (AND (|isDomain| *3 (|Matrix| *1))
+ (|ofCategory| *1 (|LinearlyExplicitRingOver| *4))
+ (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Matrix| *4)))))
(((*1 *1 *2)
- (-11 (-5 *2 (-584 *3)) (-4 *3 (-311)) (-5 *1 (-580 *3 *4))
- (-13 *4 (-584 (-1091))))))
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|))
+ (|isDomain| *1 (|LinearElement| *3 *4))
+ (|ofType| *4 (|List| (|Symbol|))))))
(((*1 *2 *3 *4)
- (|partial| -11 (-5 *3 (-1180 *4)) (-4 *4 (-12 (-962) (-581 *5)))
- (-4 *5 (-311)) (-4 *5 (-496)) (-5 *2 (-1180 *5)) (-5 *1 (-579 *5 *4))))
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- (-2563 (-4 *5 (-311))) (-4 *5 (-496)) (-5 *2 (-1180 (-349 *5)))
- (-5 *1 (-579 *5 *4)))))
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- (-4 *4 (-496)) (-5 *2 (-1180 *4)) (-5 *1 (-579 *4 *5)))))
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- (-11 (-5 *3 (-1180 *5)) (-4 *5 (-12 (-962) (-581 *4))) (-4 *4 (-496))
- (-5 *2 (-82)) (-5 *1 (-579 *4 *5)))))
+ (|partial| AND (|isDomain| *3 (|Vector| *4))
+ (|ofCategory| *4 (|Join| (|Ring|) (|LinearlyExplicitRingOver| *5)))
+ (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2 (|Vector| *5)) (|isDomain| *1 (|LinearDependence| *5 *4))))
+ ((*1 *2 *3 *4)
+ (|partial| AND (|isDomain| *3 (|Vector| *4))
+ (|ofCategory| *4 (|Join| (|Ring|) (|LinearlyExplicitRingOver| *5)))
+ (|not| (|ofCategory| *5 (|Field|))) (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2 (|Vector| (|Fraction| *5)))
+ (|isDomain| *1 (|LinearDependence| *5 *4)))))
+(((*1 *2 *3)
+ (|partial| AND (|isDomain| *3 (|Vector| *5))
+ (|ofCategory| *5 (|Join| (|Ring|) (|LinearlyExplicitRingOver| *4)))
+ (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Vector| *4))
+ (|isDomain| *1 (|LinearDependence| *4 *5)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Vector| *5))
+ (|ofCategory| *5 (|Join| (|Ring|) (|LinearlyExplicitRingOver| *4)))
+ (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|LinearDependence| *4 *5)))))
(((*1 *2 *3 *4)
- (-11 (-5 *4 (-248 (-751 *3))) (-4 *3 (-12 (-24) (-1116) (-363 *5)))
- (-4 *5 (-12 (-392) (-951 (-485)) (-581 (-485))))
- (-5 *2
- (-3 (-751 *3)
- (-2 (|:| |leftHandLimit| (-3 (-751 *3) #1="failed"))
- (|:| |rightHandLimit| (-3 (-751 *3) #1#)))
- "failed"))
- (-5 *1 (-576 *5 *3))))
+ (AND (|isDomain| *4 (|Equation| (|OrderedCompletion| *3)))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|OrderedCompletion| *3)
+ (|Record|
+ (|:| |leftHandLimit|
+ (|Union| (|OrderedCompletion| *3) #1="failed"))
+ (|:| |rightHandLimit|
+ (|Union| (|OrderedCompletion| *3) #1#)))
+ "failed"))
+ (|isDomain| *1 (|PowerSeriesLimitPackage| *5 *3))))
((*1 *2 *3 *4 *5)
- (|partial| -11 (-5 *4 (-248 *3)) (-5 *5 (-1074))
- (-4 *3 (-12 (-24) (-1116) (-363 *6)))
- (-4 *6 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *2 (-751 *3))
- (-5 *1 (-576 *6 *3))))
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- (-11 (-5 *4 (-248 (-751 (-858 *5)))) (-4 *5 (-392))
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- (-2 (|:| |leftHandLimit| (-3 (-751 (-349 (-858 *5))) #2="failed"))
- (|:| |rightHandLimit| (-3 (-751 (-349 (-858 *5))) #2#)))
- #3="failed"))
- (-5 *1 (-577 *5)) (-5 *3 (-349 (-858 *5)))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-248 (-349 (-858 *5)))) (-5 *3 (-349 (-858 *5))) (-4 *5 (-392))
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- (-2 (|:| |leftHandLimit| (-3 (-751 *3) #2#))
- (|:| |rightHandLimit| (-3 (-751 *3) #2#)))
- #3#))
- (-5 *1 (-577 *5))))
+ (|partial| AND (|isDomain| *4 (|Equation| *3)) (|isDomain| *5 (|String|))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|OrderedCompletion| *3))
+ (|isDomain| *1 (|PowerSeriesLimitPackage| *6 *3))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Equation| (|OrderedCompletion| (|Polynomial| *5))))
+ (|ofCategory| *5 (|GcdDomain|))
+ (|isDomain| *2
+ (|Union| (|OrderedCompletion| #2=(|Fraction| (|Polynomial| *5)))
+ (|Record|
+ (|:| |leftHandLimit|
+ (|Union| (|OrderedCompletion| #2#) #3="failed"))
+ (|:| |rightHandLimit|
+ (|Union| (|OrderedCompletion| #2#) #3#)))
+ #4="failed"))
+ (|isDomain| *1 (|RationalFunctionLimitPackage| *5))
+ (|isDomain| *3 (|Fraction| (|Polynomial| *5)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Equation| (|Fraction| (|Polynomial| *5))))
+ (|isDomain| *3 (|Fraction| (|Polynomial| *5)))
+ (|ofCategory| *5 (|GcdDomain|))
+ (|isDomain| *2
+ (|Union| (|OrderedCompletion| *3)
+ (|Record|
+ (|:| |leftHandLimit| (|Union| (|OrderedCompletion| *3) #3#))
+ (|:| |rightHandLimit|
+ (|Union| (|OrderedCompletion| *3) #3#)))
+ #4#))
+ (|isDomain| *1 (|RationalFunctionLimitPackage| *5))))
((*1 *2 *3 *4 *5)
- (|partial| -11 (-5 *4 (-248 (-349 (-858 *6)))) (-5 *5 (-1074))
- (-5 *3 (-349 (-858 *6))) (-4 *6 (-392)) (-5 *2 (-751 *3))
- (-5 *1 (-577 *6)))))
+ (|partial| AND (|isDomain| *4 (|Equation| (|Fraction| (|Polynomial| *6))))
+ (|isDomain| *5 (|String|)) (|isDomain| *3 (|Fraction| (|Polynomial| *6)))
+ (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|OrderedCompletion| *3))
+ (|isDomain| *1 (|RationalFunctionLimitPackage| *6)))))
(((*1 *2 *3 *4)
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+ (AND (|isDomain| *1 (|KeyedAccessFile| *2))
+ (|ofCategory| *2 (|SetCategory|))))
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+ (|isDomain| *2
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-(((*1 *1 *2) (-11 (-5 *2 (-1 (-855 (-178)) (-855 (-178)))) (-5 *1 (-220))))
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+ (AND
+ (|isDomain| *2
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+ (|isDomain| *2
+ (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|))))
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+ (AND
+ (|isDomain| *4
+ (|List| (|HomogeneousDistributedMultivariatePolynomial| *5 *6)))
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- (-11 (-5 *2 (-584 (-421 *3 *4))) (-13 *3 (-584 (-1091))) (-4 *4 (-392))
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+ (|isDomain| *2
+ (|List| (|HomogeneousDistributedMultivariatePolynomial| *3 *4)))
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+ (AND
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- ((*1 *1 *1) (-4 *1 (-570))))
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+ (|Join| (|FunctionSpace| *3) (|RadicalCategory|)
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+ (|Join| (|FunctionSpace| *3) (|RadicalCategory|)
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- (-4 *4 (-363 *5))))
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- (-11 (-5 *3 (-83)) (-4 *4 (-496)) (-5 *2 (-82)) (-5 *1 (-569 *4 *5))
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(((*1 *2 *3 *4)
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- (-5 *2 (-584 (-1061 *5 (-470 (-774 *6)) (-774 *6) (-704 *5 (-774 *6)))))
- (-5 *1 (-568 *5 *6)))))
+ (AND
+ (|isDomain| *3
+ (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6))))
+ (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|))
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+ (|SquareFreeRegularTriangularSet| *5
+ (|IndexedExponents|
+ (|OrderedVariableList| *6))
+ (|OrderedVariableList| *6)
+ (|NewSparseMultivariatePolynomial| *5
+ (|OrderedVariableList|
+ *6)))))
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- (-11 (-5 *3 (-584 (-704 *5 (-774 *6)))) (-5 *4 (-82)) (-4 *5 (-392))
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+ (|isDomain| *3
+ (|List| (|NewSparseMultivariatePolynomial| *5 (|OrderedVariableList| *6))))
+ (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|))
+ (|ofType| *6 (|List| (|Symbol|)))
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(((*1 *2 *2)
- (-11 (-5 *2 (-584 (-858 *3))) (-4 *3 (-392)) (-5 *1 (-308 *3 *4))
- (-13 *4 (-584 (-1091)))))
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+ (|ofCategory| *3 (|GcdDomain|))
+ (|isDomain| *1 (|FGLMIfCanPackage| *3 *4))
+ (|ofType| *4 (|List| (|Symbol|)))))
((*1 *2 *2)
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- (-4 *5 (-757)) (-5 *1 (-387 *3 *4 *5 *6))))
+ (AND (|isDomain| *2 (|List| *6))
+ (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))
+ (|ofCategory| *3 (|GcdDomain|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
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- (-4 *5 (-718)) (-4 *6 (-757)) (-5 *1 (-387 *4 *5 *6 *7))))
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+ (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6))
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+ (|ofCategory| *6 (|OrderedSet|))
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+ (AND (|isDomain| *2 (|List| *7)) (|isDomain| *3 (|String|))
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((*1 *1 *1)
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- (-4 *5 (-862 *2 *3 *4))))
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+ (|ofCategory| *4 (|OrderedSet|))
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((*1 *2 *2)
- (-11 (-5 *2 (-584 (-704 *3 (-774 *4)))) (-4 *3 (-392))
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+ (|isDomain| *2
+ (|List| (|NewSparseMultivariatePolynomial| *3 (|OrderedVariableList| *4))))
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- (|partial| -11 (-5 *2 (-584 (-858 *3))) (-4 *3 (-392)) (-5 *1 (-308 *3 *4))
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+ (|ofType| *5 (|List| (|Symbol|)))))
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- (-11 (-5 *3 (-584 (-704 *4 (-774 *5)))) (-4 *4 (-392))
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- (-5 *1 (-567 *4 *5 *6)) (-4 *5 (-12 (-145) (-655 (-349 (-485)))))
- (-13 *6 (-831)))))
+ (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 *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)
- (-11 (-5 *2 (-584 (-2 (|:| |k| (-615 *3)) (|:| |c| *4))))
- (-5 *1 (-567 *3 *4 *5)) (-4 *3 (-757))
- (-4 *4 (-12 (-145) (-655 (-349 (-485))))) (-13 *5 (-831)))))
+ (AND
+ (|isDomain| *2 (|List| (|Record| (|:| |k| (|LyndonWord| *3)) (|:| |c| *4))))
+ (|isDomain| *1 (|LieExponentials| *3 *4 *5))
+ (|ofCategory| *3 (|OrderedSet|))
+ (|ofCategory| *4
+ (|Join| (|CommutativeRing|)
+ (|Module| (|Fraction| (|Integer|)))))
+ (|ofType| *5 (|PositiveInteger|)))))
(((*1 *2 *1 *1)
- (-11 (-5 *2 (-584 (-248 *4))) (-5 *1 (-567 *3 *4 *5)) (-4 *3 (-757))
- (-4 *4 (-12 (-145) (-655 (-349 (-485))))) (-13 *5 (-831)))))
+ (AND (|isDomain| *2 (|List| (|Equation| *4)))
+ (|isDomain| *1 (|LieExponentials| *3 *4 *5))
+ (|ofCategory| *3 (|OrderedSet|))
+ (|ofCategory| *4
+ (|Join| (|CommutativeRing|)
+ (|Module| (|Fraction| (|Integer|)))))
+ (|ofType| *5 (|PositiveInteger|)))))
(((*1 *2 *3 *4 *5 *6 *7 *6)
- (|partial| -11
- (-5 *5
- (-2 (|:| |contp| *3)
- (|:| -1784 (-584 (-2 (|:| |irr| *10) (|:| -2397 (-485)))))))
- (-5 *6 (-584 *3)) (-5 *7 (-584 *8)) (-4 *8 (-757)) (-4 *3 (-257))
- (-4 *10 (-862 *3 *9 *8)) (-4 *9 (-718))
- (-5 *2
- (-2 (|:| |polfac| (-584 *10)) (|:| |correct| *3)
- (|:| |corrfact| (-584 (-1086 *3)))))
- (-5 *1 (-565 *8 *9 *3 *10)) (-5 *4 (-584 (-1086 *3))))))
+ (|partial| AND
+ (|isDomain| *5
+ (|Record| (|:| |contp| *3)
+ (|:| |factors|
+ (|List|
+ (|Record| (|:| |irr| *10) (|:| |pow| (|Integer|)))))))
+ (|isDomain| *6 (|List| *3)) (|isDomain| *7 (|List| *8))
+ (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|EuclideanDomain|))
+ (|ofCategory| *10 (|PolynomialCategory| *3 *9 *8))
+ (|ofCategory| *9 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *2
+ (|Record| (|:| |polfac| (|List| *10)) (|:| |correct| *3)
+ (|:| |corrfact| (|List| (|SparseUnivariatePolynomial| *3)))))
+ (|isDomain| *1 (|LeadingCoefDetermination| *8 *9 *3 *10))
+ (|isDomain| *4 (|List| (|SparseUnivariatePolynomial| *3))))))
(((*1 *2 *3 *4 *5)
- (-11 (-5 *4 (-695)) (-5 *5 (-584 *3)) (-4 *3 (-257)) (-4 *6 (-757))
- (-4 *7 (-718)) (-5 *2 (-82)) (-5 *1 (-565 *6 *7 *3 *8))
- (-4 *8 (-862 *3 *7 *6)))))
-(((*1 *2 *2)
- (-11 (-4 *3 (-392)) (-4 *4 (-718)) (-4 *5 (-757)) (-4 *6 (-978 *3 *4 *5))
- (-5 *1 (-564 *3 *4 *5 *6 *7 *2)) (-4 *7 (-984 *3 *4 *5 *6))
- (-4 *2 (-1021 *3 *4 *5 *6)))))
-(((*1 *2 *1) (-11 (-4 *2 (-496)) (-5 *1 (-563 *2 *3)) (-4 *3 (-1156 *2)))))
+ (AND (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *5 (|List| *3))
+ (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *6 (|OrderedSet|))
+ (|ofCategory| *7 (|OrderedAbelianMonoidSup|))
+ (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|LeadingCoefDetermination| *6 *7 *3 *8))
+ (|ofCategory| *8 (|PolynomialCategory| *3 *7 *6)))))
+(((*1 *2 *2)
+ (AND (|ofCategory| *3 (|GcdDomain|))
+ (|ofCategory| *4 (|OrderedAbelianMonoidSup|))
+ (|ofCategory| *5 (|OrderedSet|))
+ (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5))
+ (|isDomain| *1 (|LazardSetSolvingPackage| *3 *4 *5 *6 *7 *2))
+ (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6))
+ (|ofCategory| *2
+ (|SquareFreeRegularTriangularSetCategory| *3 *4 *5 *6)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *2 (|IntegralDomain|))
+ (|isDomain| *1 (|LaurentPolynomial| *2 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))))
(((*1 *2 *2 *3 *3)
- (-11 (-5 *3 (-1091)) (-4 *4 (-12 (-257) (-117) (-951 (-485)) (-581 (-485))))
- (-5 *1 (-562 *4 *2)) (-4 *2 (-12 (-1116) (-872) (-26 *4))))))
-(((*1 *1) (-5 *1 (-557))))
+ (AND (|isDomain| *3 (|Symbol|))
+ (|ofCategory| *4
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|LaplaceTransform| *4 *2))
+ (|ofCategory| *2
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|PrimitiveFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *4))))))
+(((*1 *1) (|isDomain| *1 (|KleeneTrivalentLogic|))))
(((*1 *2 *3 *3 *3)
- (|partial| -11 (-4 *4 (-12 (-117) (-24) (-951 (-485)) (-951 (-349 (-485)))))
- (-4 *5 (-1156 *4)) (-5 *2 (-1086 (-349 *5))) (-5 *1 (-555 *4 *5))
- (-5 *3 (-349 *5))))
+ (|partial| AND
+ (|ofCategory| *4
+ (|Join| (|CharacteristicZero|) (|AlgebraicallyClosedField|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| *5)))
+ (|isDomain| *1 (|Kovacic| *4 *5)) (|isDomain| *3 (|Fraction| *5))))
((*1 *2 *3 *3 *3 *4)
- (|partial| -11 (-5 *4 (-1 (-347 *6) *6)) (-4 *6 (-1156 *5))
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- (-5 *2 (-1086 (-349 *6))) (-5 *1 (-555 *5 *6)) (-5 *3 (-349 *6)))))
-(((*1 *2 *3)
- (|partial| -11 (-5 *3 (-551 *4)) (-4 *4 (-1014)) (-4 *2 (-1014))
- (-5 *1 (-552 *2 *4)))))
-(((*1 *2 *3)
- (-11 (-5 *2 (-551 *4)) (-5 *1 (-552 *3 *4)) (-4 *3 (-1014)) (-4 *4 (-1014)))))
-(((*1 *2 *1) (-11 (-4 *1 (-138 *2)) (-4 *2 (-145)) (-4 *2 (-1116))))
- ((*1 *2 *1) (-11 (-5 *1 (-280 *2)) (-4 *2 (-757))))
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-(((*1 *1 *2 *3) (-11 (-5 *2 (-83)) (-5 *3 (-584 *1)) (-4 *1 (-253))))
- ((*1 *1 *2 *1) (-11 (-4 *1 (-253)) (-5 *2 (-83))))
- ((*1 *1 *2) (-11 (-5 *2 (-1091)) (-5 *1 (-551 *3)) (-4 *3 (-1014))))
+ (|partial| AND (|isDomain| *4 (|Mapping| (|Factored| *6) *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5
+ (|Join| (|CharacteristicZero|) (|AlgebraicallyClosedField|)
+ (|RetractableTo| (|Integer|))
+ (|RetractableTo| (|Fraction| (|Integer|)))))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| *6)))
+ (|isDomain| *1 (|Kovacic| *5 *6)) (|isDomain| *3 (|Fraction| *6)))))
+(((*1 *2 *3)
+ (|partial| AND (|isDomain| *3 (|Kernel| *4))
+ (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))
+ (|isDomain| *1 (|KernelFunctions2| *2 *4)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|Kernel| *4)) (|isDomain| *1 (|KernelFunctions2| *3 *4))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|ComplexCategory| *2))
+ (|ofCategory| *2 (|CommutativeRing|))
+ (|ofCategory| *2 (|TranscendentalFunctionCategory|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *1 (|FourierComponent| *2))
+ (|ofCategory| *2 (|OrderedSet|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Kernel| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| *1))
+ (|ofCategory| *1 (|ExpressionSpace|))))
+ ((*1 *1 *2 *1)
+ (AND (|ofCategory| *1 (|ExpressionSpace|))
+ (|isDomain| *2 (|BasicOperator|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Kernel| *3))
+ (|ofCategory| *3 (|SetCategory|))))
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- (-11 (-5 *2 (-83)) (-5 *3 (-584 *5)) (-5 *4 (-695)) (-4 *5 (-1014))
- (-5 *1 (-551 *5)))))
-(((*1 *2 *1) (|partial| -11 (-5 *2 (-1091)) (-5 *1 (-551 *3)) (-4 *3 (-1014)))))
+ (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| *5))
+ (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|SetCategory|))
+ (|isDomain| *1 (|Kernel| *5)))))
+(((*1 *2 *1)
+ (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Kernel| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
(((*1 *2 *3 *1)
- (-11 (-4 *1 (-550 *3 *4)) (-4 *3 (-1014)) (-4 *4 (-1014)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|KeyedDictionary| *3 *4))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-550 *3 *4)) (-4 *3 (-1014)) (-4 *4 (-1014)) (-5 *2 (-584 *3)))))
+ (AND (|ofCategory| *1 (|KeyedDictionary| *3 *4))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2 (|List| *3)))))
(((*1 *2 *3 *1)
- (|partial| -11 (-4 *1 (-550 *3 *2)) (-4 *3 (-1014)) (-4 *2 (-1014)))))
-(((*1 *1) (-5 *1 (-543))) ((*1 *1) (-5 *1 (-545))) ((*1 *1) (-5 *1 (-546))))
-(((*1 *1) (-5 *1 (-545))) ((*1 *1) (-5 *1 (-546))))
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-(((*1 *1) (-5 *1 (-546))))
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-(((*1 *1) (-5 *1 (-543))) ((*1 *1) (-5 *1 (-546))))
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-(((*1 *1) (-5 *1 (-545))))
-(((*1 *1) (-5 *1 (-545))))
-(((*1 *1) (-5 *1 (-544))))
-(((*1 *1) (-5 *1 (-544))))
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-(((*1 *1) (-5 *1 (-544))))
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-(((*1 *1) (-5 *1 (-544))))
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-(((*1 *1) (-5 *1 (-544))))
-(((*1 *1) (-5 *1 (-544))))
-(((*1 *1) (-5 *1 (-544))))
-(((*1 *1) (-5 *1 (-544))))
-(((*1 *1) (-5 *1 (-543))))
-(((*1 *1) (-5 *1 (-543))))
-(((*1 *2 *1) (-11 (-5 *2 (-870 (-157 (-109)))) (-5 *1 (-281))))
- ((*1 *2 *1) (-11 (-5 *2 (-584 (-1131))) (-5 *1 (-540)))))
-(((*1 *2 *1)
- (-11 (-4 *1 (-539 *3 *4)) (-4 *3 (-69)) (-4 *4 (-1130)) (-5 *2 (-584 *4)))))
+ (|partial| AND (|ofCategory| *1 (|KeyedDictionary| *3 *2))
+ (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *1) (|isDomain| *1 (|JVMClassFileAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMFieldAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMFieldAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMFieldAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMFieldAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMClassFileAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMFieldAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMClassFileAccess|)))
+ ((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMMethodAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMFieldAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMFieldAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMConstantTag|))))
+(((*1 *1) (|isDomain| *1 (|JVMClassFileAccess|))))
+(((*1 *1) (|isDomain| *1 (|JVMClassFileAccess|))))
+(((*1 *2 *1)
+ (AND
+ (|isDomain| *2
+ (|PrimitiveArray| (|ConstructorCall| (|CategoryConstructor|))))
+ (|isDomain| *1 (|FunctorData|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|List| (|TypeAst|))) (|isDomain| *1 (|JoinAst|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4))
+ (|ofCategory| *3 (|BasicType|)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *2 (|List| *4)))))
(((*1 *2 *3 *1)
- (-11 (-4 *1 (-539 *3 *4)) (-4 *3 (-69)) (-4 *4 (-1130)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4))
+ (|ofCategory| *3 (|BasicType|)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-539 *3 *4)) (-4 *3 (-69)) (-4 *4 (-1130)) (-5 *2 (-584 *3)))))
+ (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4))
+ (|ofCategory| *3 (|BasicType|)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *2 (|List| *3)))))
(((*1 *2 *3 *1)
- (-11 (-4 *1 (-317 *3)) (-4 *3 (-69)) (-4 *1 (-539 *4 *3)) (-4 *4 (-69))
- (-4 *3 (-1130)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *1 (|FiniteAggregate| *3)) (|ofCategory| *3 (|BasicType|))
+ (|ofCategory| *1 (|IndexedAggregate| *4 *3))
+ (|ofCategory| *4 (|BasicType|)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-539 *2 *3)) (-4 *3 (-1130)) (-4 *2 (-69)) (-4 *2 (-757)))))
+ (AND (|ofCategory| *1 (|IndexedAggregate| *2 *3)) (|ofCategory| *3 (|Type|))
+ (|ofCategory| *2 (|BasicType|)) (|ofCategory| *2 (|OrderedSet|)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-539 *2 *3)) (-4 *3 (-1130)) (-4 *2 (-69)) (-4 *2 (-757)))))
+ (AND (|ofCategory| *1 (|IndexedAggregate| *2 *3)) (|ofCategory| *3 (|Type|))
+ (|ofCategory| *2 (|BasicType|)) (|ofCategory| *2 (|OrderedSet|)))))
(((*1 *1 *1 *2)
- (-11 (-4 *1 (-54 *2 *3 *4)) (-4 *2 (-1130)) (-4 *3 (-323 *2))
- (-4 *4 (-323 *2))))
+ (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *3 *4))
+ (|ofCategory| *2 (|Type|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *4 (|FiniteLinearAggregate| *2))))
((*1 *1 *1 *2)
- (-11 (-4 *1 (-1036 *2)) (-4 *1 (-539 *3 *2)) (-4 *3 (-69)) (-4 *2 (-1130)))))
+ (AND (|ofCategory| *1 (|ShallowlyMutableAggregate| *2))
+ (|ofCategory| *1 (|IndexedAggregate| *3 *2))
+ (|ofCategory| *3 (|BasicType|)) (|ofCategory| *2 (|Type|)))))
(((*1 *2 *1 *3 *3)
- (-11 (-4 *1 (-1036 *4)) (-4 *1 (-539 *3 *4)) (-4 *3 (-69)) (-4 *4 (-1130))
- (-5 *2 (-1186)))))
+ (AND (|ofCategory| *1 (|ShallowlyMutableAggregate| *4))
+ (|ofCategory| *1 (|IndexedAggregate| *3 *4))
+ (|ofCategory| *3 (|BasicType|)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *2 (|Void|)))))
(((*1 *2 *2 *3 *4)
- (-11 (-5 *3 (-584 (-551 *2))) (-5 *4 (-584 (-1091)))
- (-4 *2 (-12 (-363 (-141 *5)) (-916) (-1116))) (-4 *5 (-496))
- (-5 *1 (-536 *5 *6 *2)) (-4 *6 (-12 (-363 *5) (-916) (-1116))))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-5 *2 (-141 *5)) (-5 *1 (-536 *4 *5 *3))
- (-4 *5 (-12 (-363 *4) (-916) (-1116)))
- (-4 *3 (-12 (-363 (-141 *4)) (-916) (-1116))))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-4 *2 (-12 (-363 (-141 *4)) (-916) (-1116)))
- (-5 *1 (-536 *4 *3 *2)) (-4 *3 (-12 (-363 *4) (-916) (-1116))))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-4 *2 (-12 (-363 *4) (-916) (-1116)))
- (-5 *1 (-536 *4 *2 *3)) (-4 *3 (-12 (-363 (-141 *4)) (-916) (-1116))))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-141 *5)) (-4 *5 (-12 (-363 *4) (-916) (-1116))) (-4 *4 (-496))
- (-4 *2 (-12 (-363 (-141 *4)) (-916) (-1116))) (-5 *1 (-536 *4 *5 *2)))))
-(((*1 *1) (-5 *1 (-533))))
-(((*1 *1) (-5 *1 (-533))))
-(((*1 *1) (-5 *1 (-533))))
-(((*1 *1) (-5 *1 (-533))))
-(((*1 *1 *1 *2) (-11 (-5 *2 (-584 (-533))) (-5 *1 (-533)))))
+ (AND (|isDomain| *3 (|List| (|Kernel| *2)))
+ (|isDomain| *4 (|List| (|Symbol|)))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| (|Complex| *5))
+ (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *1 (|InnerTrigonometricManipulations| *5 *6 *2))
+ (|ofCategory| *6
+ (|Join| (|FunctionSpace| *5) (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|))))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|IntegralDomain|)) (|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 *2 *3)
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| (|Complex| *4))
+ (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|)))
+ (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *3 *2))
+ (|ofCategory| *3
+ (|Join| (|FunctionSpace| *4) (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|))))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *4) (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|)))
+ (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *2 *3))
+ (|ofCategory| *3
+ (|Join| (|FunctionSpace| (|Complex| *4))
+ (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|))))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Complex| *5))
+ (|ofCategory| *5
+ (|Join| (|FunctionSpace| *4) (|RadicalCategory|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *4 (|IntegralDomain|))
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+ (|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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+ (|partial| AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerRetractions| *3))
+ (|ofCategory| *3 (|RetractableTo| *2)))))
(((*1 *2 *3 *4)
- (|partial| -11 (-5 *4 (-584 (-349 *6))) (-5 *3 (-349 *6)) (-4 *6 (-1156 *5))
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- (-5 *2
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- (|:| |limitedlogs| (-584 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
- (-5 *1 (-505 *5 *6)))))
+ (|partial| AND (|isDomain| *4 (|List| (|Fraction| *6)))
+ (|isDomain| *3 (|Fraction| *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))))
+ (|isDomain| *2
+ (|Record| (|:| |mainpart| *3)
+ (|:| |limitedlogs|
+ (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3))))))
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(((*1 *2 *3 *3)
- (|partial| -11 (-4 *4 (-12 (-311) (-117) (-951 (-485)))) (-4 *5 (-1156 *4))
- (-5 *2 (-2 (|:| -2138 (-349 *5)) (|:| |coeff| (-349 *5))))
- (-5 *1 (-505 *4 *5)) (-5 *3 (-349 *5)))))
+ (|partial| AND
+ (|ofCategory| *4
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))))
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+ (|Record| (|:| |ratpart| #1=(|Fraction| *5)) (|:| |coeff| #1#)))
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(((*1 *2 *2)
- (|partial| -11 (-5 *2 (-349 *4)) (-4 *4 (-1156 *3))
- (-4 *3 (-12 (-311) (-117) (-951 (-485)))) (-5 *1 (-505 *3 *4)))))
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+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|ofCategory| *3
+ (|Join| (|Field|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))))
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(((*1 *2 *3 *4)
- (|partial| -11 (-5 *4 (-1091)) (-4 *5 (-554 (-801 (-485))))
- (-4 *5 (-797 (-485))) (-4 *5 (-12 (-951 (-485)) (-392) (-581 (-485))))
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- (-4 *3 (-570)) (-4 *3 (-12 (-24) (-1116) (-363 *5)))))
+ (|partial| AND (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5 (|ConvertibleTo| (|Pattern| (|Integer|))))
+ (|ofCategory| *5 (|PatternMatchable| (|Integer|)))
+ (|ofCategory| *5
+ (|Join| (|RetractableTo| (|Integer|)) (|GcdDomain|)
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+ (|isDomain| *1 (|PatternMatchIntegration| *5 *3))
+ (|ofCategory| *3 (|LiouvillianFunctionCategory|))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5)))))
((*1 *2 *2 *3 *4 *4)
- (|partial| -11 (-5 *3 (-1091)) (-5 *4 (-751 *2)) (-4 *2 (-1054))
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- (-5 *2 (-2 (|:| -2340 *3) (|:| |nconst| *3))) (-5 *1 (-504 *5 *3))
- (-4 *3 (-12 (-24) (-1116) (-363 *5))))))
+ (|partial| AND (|isDomain| *3 (|Symbol|))
+ (|isDomain| *4 (|OrderedCompletion| *2))
+ (|ofCategory| *2 (|SpecialFunctionCategory|))
+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
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+ (|ofCategory| *5 (|ConvertibleTo| (|Pattern| (|Integer|))))
+ (|ofCategory| *5 (|PatternMatchable| (|Integer|)))
+ (|ofCategory| *5
+ (|Join| (|RetractableTo| (|Integer|)) (|GcdDomain|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
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+(((*1 *2 *3 *4)
+ (|partial| AND (|isDomain| *4 (|Symbol|))
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+ (|ofCategory| *5 (|PatternMatchable| (|Integer|)))
+ (|ofCategory| *5
+ (|Join| (|RetractableTo| (|Integer|)) (|GcdDomain|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Record| (|:| |special| *3) (|:| |integrand| *3)))
+ (|isDomain| *1 (|PatternMatchIntegration| *5 *3))
+ (|ofCategory| *3 (|LiouvillianFunctionCategory|))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5))))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5
+ (|Join| (|RetractableTo| (|Integer|)) (|GcdDomain|)
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+ (|isDomain| *1 (|PatternMatchIntegration| *5 *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5))))))
(((*1 *2 *3 *4 *5 *5 *6)
- (-11 (-5 *5 (-551 *4)) (-5 *6 (-1091)) (-4 *4 (-12 (-363 *7) (-24) (-1116)))
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- (-5 *1 (-503 *7 *4 *3)) (-4 *3 (-601 *4)) (-4 *3 (-1014)))))
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+ (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *7
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
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+ (|isDomain| *2
+ (|Record| (|:| |particular| (|Union| *4 "failed"))
+ (|:| |basis| (|List| *4))))
+ (|isDomain| *1 (|PureAlgebraicIntegration| *7 *4 *3))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4))
+ (|ofCategory| *3 (|SetCategory|)))))
(((*1 *2 *2 *2 *2 *3 *3 *4)
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- (-4 *5 (-12 (-392) (-951 (-485)) (-117) (-581 (-485))))
- (-5 *1 (-503 *5 *2 *6)) (-4 *6 (-1014)))))
+ (|partial| AND (|isDomain| *3 (|Kernel| *2))
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+ (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|PureAlgebraicIntegration| *5 *2 *6))
+ (|ofCategory| *6 (|SetCategory|)))))
(((*1 *2 *3 *4 *4 *5)
- (|partial| -11 (-5 *4 (-551 *3)) (-5 *5 (-584 *3))
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- (|:| |limitedlogs| (-584 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
- (-5 *1 (-503 *6 *3 *7)) (-4 *7 (-1014)))))
+ (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|List| *3))
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+ (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
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+ (|Record| (|:| |mainpart| *3)
+ (|:| |limitedlogs|
+ (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3))))))
+ (|isDomain| *1 (|PureAlgebraicIntegration| *6 *3 *7))
+ (|ofCategory| *7 (|SetCategory|)))))
(((*1 *2 *3 *4 *4 *3)
- (|partial| -11 (-5 *4 (-551 *3)) (-4 *3 (-12 (-363 *5) (-24) (-1116)))
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- (-5 *2 (-2 (|:| -2138 *3) (|:| |coeff| *3))) (-5 *1 (-503 *5 *3 *6))
- (-4 *6 (-1014)))))
+ (|partial| AND (|isDomain| *4 (|Kernel| *3))
+ (|ofCategory| *3
+ (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
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+ (|LinearlyExplicitRingOver| (|Integer|))))
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+ (|isDomain| *1 (|PureAlgebraicIntegration| *5 *3 *6))
+ (|ofCategory| *6 (|SetCategory|)))))
(((*1 *2 *3 *4 *4)
- (-11 (-5 *4 (-551 *3)) (-4 *3 (-12 (-363 *5) (-24) (-1116)))
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- (-11 (-5 *4 (-1 *6 *6)) (-4 *6 (-1156 *5)) (-4 *5 (-311))
- (-5 *2
- (-2 (|:| |answer| (-349 *6)) (|:| -2137 (-349 *6))
- (|:| |specpart| (-349 *6)) (|:| |polypart| *6)))
- (-5 *1 (-502 *5 *6)) (-5 *3 (-349 *6)))))
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-(((*1 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-500)))))
-(((*1 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-500)))))
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-(((*1 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-500)))))
-(((*1 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-500)))))
-(((*1 *2 *3) (-11 (-5 *2 (-584 (-485))) (-5 *1 (-500)) (-5 *3 (-485)))))
-(((*1 *2 *3 *3) (-11 (-5 *3 (-584 *2)) (-5 *1 (-152 *2)) (-4 *2 (-257))))
+ (AND (|isDomain| *4 (|Kernel| *3))
+ (|ofCategory| *3
+ (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|IntegrationResult| *3))
+ (|isDomain| *1 (|PureAlgebraicIntegration| *5 *3 *6))
+ (|ofCategory| *6 (|SetCategory|)))))
+(((*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| #1=(|Fraction| *6)) (|:| |logpart| #1#)
+ (|:| |specpart| #1#) (|:| |polypart| *6)))
+ (|isDomain| *1 (|TranscendentalHermiteIntegration| *5 *6))
+ (|isDomain| *3 (|Fraction| *6)))))
+(((*1 *2 *2 *3)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
+(((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|))
+ (|isDomain| *3 (|Integer|)))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
+(((*1 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|List| (|Integer|)))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|))
+ (|isDomain| *3 (|Integer|)))))
+(((*1 *2 *3 *3)
+ (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|CRApackage| *2))
+ (|ofCategory| *2 (|EuclideanDomain|))))
((*1 *2 *3 *2)
- (-11 (-5 *3 (-584 (-584 *4))) (-5 *2 (-584 *4)) (-4 *4 (-257))
- (-5 *1 (-152 *4))))
+ (AND (|isDomain| *3 (|List| (|List| *4))) (|isDomain| *2 (|List| *4))
+ (|ofCategory| *4 (|EuclideanDomain|))
+ (|isDomain| *1 (|CRApackage| *4))))
((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-584 *8))
- (-5 *4
- (-584
- (-2 (|:| -2014 (-631 *7)) (|:| |basisDen| *7)
- (|:| |basisInv| (-631 *7)))))
- (-5 *5 (-695)) (-4 *8 (-1156 *7)) (-4 *7 (-1156 *6)) (-4 *6 (-298))
- (-5 *2
- (-2 (|:| -2014 (-631 *7)) (|:| |basisDen| *7) (|:| |basisInv| (-631 *7))))
- (-5 *1 (-438 *6 *7 *8))))
- ((*1 *2 *2 *2 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-500)))))
+ (AND (|isDomain| *3 (|List| *8))
+ (|isDomain| *4
+ (|List|
+ (|Record| (|:| |basis| (|Matrix| *7)) (|:| |basisDen| *7)
+ (|:| |basisInv| (|Matrix| *7)))))
+ (|isDomain| *5 (|NonNegativeInteger|))
+ (|ofCategory| *8 (|UnivariatePolynomialCategory| *7))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))
+ (|ofCategory| *6 (|FiniteFieldCategory|))
+ (|isDomain| *2
+ (|Record| (|:| |basis| (|Matrix| *7)) (|:| |basisDen| *7)
+ (|:| |basisInv| (|Matrix| *7))))
+ (|isDomain| *1 (|ChineseRemainderToolsForIntegralBases| *6 *7 *8))))
+ ((*1 *2 *2 *2 *2 *2)
+ (AND (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|IntegerNumberTheoryFunctions|)))))
(((*1 *2 *3 *4 *5 *5 *4 *6)
- (-11 (-5 *5 (-551 *4)) (-5 *6 (-1086 *4))
- (-4 *4 (-12 (-363 *7) (-24) (-1116)))
- (-4 *7 (-12 (-392) (-951 (-485)) (-117) (-581 (-485))))
- (-5 *2 (-2 (|:| |particular| (-3 *4 #1="failed")) (|:| -2014 (-584 *4))))
- (-5 *1 (-499 *7 *4 *3)) (-4 *3 (-601 *4)) (-4 *3 (-1014))))
+ (AND (|isDomain| *5 (|Kernel| *4))
+ (|isDomain| *6 (|SparseUnivariatePolynomial| *4))
+ (|ofCategory| *4
+ (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *7
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Record| (|:| |particular| (|Union| *4 #1="failed"))
+ (|:| |basis| (|List| *4))))
+ (|isDomain| *1 (|GenusZeroIntegration| *7 *4 *3))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4))
+ (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *3 *4 *5 *5 *5 *4 *6)
- (-11 (-5 *5 (-551 *4)) (-5 *6 (-349 (-1086 *4)))
- (-4 *4 (-12 (-363 *7) (-24) (-1116)))
- (-4 *7 (-12 (-392) (-951 (-485)) (-117) (-581 (-485))))
- (-5 *2 (-2 (|:| |particular| (-3 *4 #1#)) (|:| -2014 (-584 *4))))
- (-5 *1 (-499 *7 *4 *3)) (-4 *3 (-601 *4)) (-4 *3 (-1014)))))
+ (AND (|isDomain| *5 (|Kernel| *4))
+ (|isDomain| *6 (|Fraction| (|SparseUnivariatePolynomial| *4)))
+ (|ofCategory| *4
+ (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *7
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Record| (|:| |particular| (|Union| *4 #1#))
+ (|:| |basis| (|List| *4))))
+ (|isDomain| *1 (|GenusZeroIntegration| *7 *4 *3))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4))
+ (|ofCategory| *3 (|SetCategory|)))))
(((*1 *2 *2 *2 *3 *3 *4 *2 *5)
- (|partial| -11 (-5 *3 (-551 *2))
- (-5 *4 (-1 (-3 *2 #1="failed") *2 *2 (-1091))) (-5 *5 (-1086 *2))
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- (-4 *6 (-12 (-392) (-951 (-485)) (-117) (-581 (-485))))
- (-5 *1 (-499 *6 *2 *7)) (-4 *7 (-1014))))
+ (|partial| AND (|isDomain| *3 (|Kernel| *2))
+ (|isDomain| *4 (|Mapping| (|Union| *2 #1="failed") *2 *2 (|Symbol|)))
+ (|isDomain| *5 (|SparseUnivariatePolynomial| *2))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|GenusZeroIntegration| *6 *2 *7))
+ (|ofCategory| *7 (|SetCategory|))))
((*1 *2 *2 *2 *3 *3 *4 *3 *2 *5)
- (|partial| -11 (-5 *3 (-551 *2)) (-5 *4 (-1 (-3 *2 #1#) *2 *2 (-1091)))
- (-5 *5 (-349 (-1086 *2))) (-4 *2 (-12 (-363 *6) (-24) (-1116)))
- (-4 *6 (-12 (-392) (-951 (-485)) (-117) (-581 (-485))))
- (-5 *1 (-499 *6 *2 *7)) (-4 *7 (-1014)))))
+ (|partial| AND (|isDomain| *3 (|Kernel| *2))
+ (|isDomain| *4 (|Mapping| (|Union| *2 #1#) *2 *2 (|Symbol|)))
+ (|isDomain| *5 (|Fraction| (|SparseUnivariatePolynomial| *2)))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|CharacteristicZero|)
+ (|LinearlyExplicitRingOver| (|Integer|))))
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(((*1 *2 *3 *4 *4 *5 *3 *6)
- (|partial| -11 (-5 *4 (-551 *3)) (-5 *5 (-584 *3)) (-5 *6 (-1086 *3))
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- (|:| |limitedlogs| (-584 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
- (-5 *1 (-499 *7 *3 *8)) (-4 *8 (-1014))))
+ (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|List| *3))
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+ (|Join| (|FunctionSpace| *7) (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)))
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+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
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+ (|Record| (|:| |mainpart| *3)
+ (|:| |limitedlogs|
+ (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3))))))
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- (-5 *1 (-499 *7 *3 *8)) (-4 *8 (-1014)))))
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- (-5 *2 (-2 (|:| -2138 *3) (|:| |coeff| *3))) (-5 *1 (-499 *6 *3 *7))
- (-4 *7 (-1014))))
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((*1 *2 *3 *4 *4 *3 *4 *3 *5)
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- (-5 *2 (-2 (|:| -2138 *3) (|:| |coeff| *3))) (-5 *1 (-499 *6 *3 *7))
- (-4 *7 (-1014)))))
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- (-5 *1 (-499 *6 *3 *7)) (-4 *7 (-1014))))
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-(((*1 *2 *3) (-11 (-5 *2 (-347 *3)) (-5 *1 (-498 *3)) (-4 *3 (-484)))))
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+ (|TranscendentalFunctionCategory|)))
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+ (|isDomain| *1 (|GenusZeroIntegration| *6 *3 *7))
+ (|ofCategory| *7 (|SetCategory|)))))
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+ (|partial| AND (|isDomain| *1 (|IntegerFactorizationPackage| *2))
+ (|ofCategory| *2 (|IntegerNumberSystem|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|IntegerFactorizationPackage| *3))
+ (|ofCategory| *3 (|IntegerNumberSystem|)))))
(((*1 *2 *3 *4 *5 *6)
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- (-5 *2 (-520 *3)) (-5 *1 (-497 *5 *3))
- (-4 *3 (-12 (-24) (-1116) (-363 *5))))))
+ (|partial| AND (|isDomain| *4 (|Symbol|))
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+ (|ofCategory| *3
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+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *7)))
+ (|ofCategory| *7
+ (|Join| (|GcdDomain|) (|CharacteristicZero|)
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+ (|isDomain| *1 (|ElementaryIntegration| *7 *3)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|CharacteristicZero|)
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+ (|isDomain| *2 (|IntegrationResult| *3))
+ (|isDomain| *1 (|ElementaryIntegration| *5 *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5))))))
(((*1 *2 *2 *3)
- (|partial| -11 (-5 *3 (-1091))
- (-4 *4 (-12 (-392) (-117) (-951 (-485)) (-581 (-485)))) (-5 *1 (-497 *4 *2))
- (-4 *2 (-12 (-24) (-1116) (-363 *4))))))
+ (|partial| AND (|isDomain| *3 (|Symbol|))
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|ElementaryIntegration| *4 *2))
+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *4))))))
(((*1 *2 *3 *4 *5)
- (|partial| -11 (-5 *4 (-1091)) (-5 *5 (-584 *3))
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- (|:| |limitedlogs| (-584 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
- (-5 *1 (-497 *6 *3)))))
+ (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|List| *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
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+ (|Record| (|:| |mainpart| *3)
+ (|:| |limitedlogs|
+ (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3))))))
+ (|isDomain| *1 (|ElementaryIntegration| *6 *3)))))
(((*1 *2 *3 *4 *3)
- (|partial| -11 (-5 *4 (-1091))
- (-4 *5 (-12 (-392) (-117) (-951 (-485)) (-581 (-485))))
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-(((*1 *2 *1 *1) (-11 (-4 *1 (-496)) (-5 *2 (-82)))))
-(((*1 *2 *1) (-11 (-4 *1 (-496)) (-5 *2 (-82)))))
+ (|partial| AND (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
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+ (|isDomain| *1 (|ElementaryIntegration| *5 *3))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5))))))
+(((*1 *2 *1)
+ (AND
+ (|isDomain| *2
+ (|Record| (|:| |unit| *1) (|:| |canonical| *1) (|:| |associate| *1)))
+ (|ofCategory| *1 (|IntegralDomain|)))))
+(((*1 *1 *1) (|ofCategory| *1 (|IntegralDomain|))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|)))))
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(((*1 *1 *2)
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-(((*1 *2 *1) (-11 (-4 *1 (-494 *2)) (-4 *2 (-12 (-346) (-1116))))))
+ (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 *1 *2 *2)
+ (AND (|ofCategory| *1 (|IntervalCategory| *2))
+ (|ofCategory| *2
+ (|Join| (|FloatingPointSystem|)
+ (|TranscendentalFunctionCategory|))))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|IntervalCategory| *2))
+ (|ofCategory| *2
+ (|Join| (|FloatingPointSystem|)
+ (|TranscendentalFunctionCategory|))))))
(((*1 *2 *1 *3)
- (-11 (-4 *1 (-494 *3)) (-4 *3 (-12 (-346) (-1116))) (-5 *2 (-82)))))
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-(((*1 *2 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-493)))))
-(((*1 *2 *2) (-11 (-5 *2 (-485)) (-5 *1 (-493)))))
+ (AND (|ofCategory| *1 (|IntervalCategory| *3))
+ (|ofCategory| *3
+ (|Join| (|FloatingPointSystem|)
+ (|TranscendentalFunctionCategory|)))
+ (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *3 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|IntegerBits|)))))
+(((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerBits|)))))
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(((*1 *2 *2 *3)
- (|partial| -11 (-5 *3 (-1 *6 *6)) (-4 *6 (-1156 *5))
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- (-4 *7 (-1156 (-349 *6))) (-5 *1 (-492 *4 *5 *6 *7 *2))
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- (-4 *5 (-12 (-496) (-951 (-485)))) (-4 *8 (-1156 (-349 *7)))
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- (-11 (-5 *4 (-1 *7 *7)) (-4 *7 (-1156 *6)) (-4 *6 (-12 (-24) (-363 *5)))
- (-4 *5 (-12 (-496) (-951 (-485)))) (-4 *8 (-1156 (-349 *7)))
- (-5 *2 (-520 *3)) (-5 *1 (-492 *5 *6 *7 *8 *3)) (-4 *3 (-290 *6 *7 *8)))))
+ (|partial| AND (|isDomain| *3 (|Mapping| *6 *6))
+ (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5 (|Join| (|AlgebraicallyClosedField|) (|FunctionSpace| *4)))
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6)))
+ (|isDomain| *1 (|AlgebraicIntegrate| *4 *5 *6 *7 *2))
+ (|ofCategory| *2 (|FunctionFieldCategory| *5 *6 *7)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Mapping| *7 *7))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))
+ (|ofCategory| *6
+ (|Join| (|AlgebraicallyClosedField|)
+ (|FunctionSpace| *5)))
+ (|ofCategory| *5
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|ofCategory| *8 (|UnivariatePolynomialCategory| (|Fraction| *7)))
+ (|isDomain| *2 (|IntegrationResult| *3))
+ (|isDomain| *1 (|AlgebraicIntegrate| *5 *6 *7 *8 *3))
+ (|ofCategory| *3 (|FunctionFieldCategory| *6 *7 *8)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Mapping| *7 *7))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))
+ (|ofCategory| *6
+ (|Join| (|AlgebraicallyClosedField|)
+ (|FunctionSpace| *5)))
+ (|ofCategory| *5
+ (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
+ (|ofCategory| *8 (|UnivariatePolynomialCategory| (|Fraction| *7)))
+ (|isDomain| *2 (|IntegrationResult| *3))
+ (|isDomain| *1 (|AlgebraicIntegrate| *5 *6 *7 *8 *3))
+ (|ofCategory| *3 (|FunctionFieldCategory| *6 *7 *8)))))
(((*1 *2 *3 *4 *4 *5)
- (-11 (-5 *4 (-551 *3)) (-5 *5 (-1 (-1086 *3) (-1086 *3)))
- (-4 *3 (-12 (-24) (-363 *6))) (-4 *6 (-496)) (-5 *2 (-520 *3))
- (-5 *1 (-491 *6 *3)))))
-(((*1 *2 *1 *1) (-11 (-4 *1 (-484)) (-5 *2 (-82)))))
-(((*1 *1 *1 *1) (-4 *1 (-484))))
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-(((*1 *1 *1) (-4 *1 (-484))))
-(((*1 *1 *1) (-4 *1 (-484))))
-(((*1 *1 *1) (-4 *1 (-484))))
-(((*1 *1 *1 *1 *1) (-4 *1 (-484))))
-(((*1 *1 *1 *1 *1) (-4 *1 (-484))))
-(((*1 *1 *1 *1 *1) (-4 *1 (-484))))
-(((*1 *1 *1 *1 *1) (-4 *1 (-484))))
-(((*1 *1 *1 *1) (-4 *1 (-484))))
+ (AND (|isDomain| *4 (|Kernel| *3))
+ (|isDomain| *5
+ (|Mapping| (|SparseUnivariatePolynomial| *3)
+ (|SparseUnivariatePolynomial| *3)))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|FunctionSpace| *6)))
+ (|ofCategory| *6 (|IntegralDomain|))
+ (|isDomain| *2 (|IntegrationResult| *3))
+ (|isDomain| *1 (|AlgebraicIntegration| *6 *3)))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
+(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))))
(((*1 *2 *3 *2 *4)
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- (-5 *2 (-485)) (-5 *1 (-482 *5 *3)) (-4 *3 (-1156 *5))))
+ (|partial| AND
+ (|isDomain| *4 (|Mapping| (|Union| (|Integer|) #1="failed") *5))
+ (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|InnerPolySign| *5 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))
((*1 *2 *3 *4 *2 *5)
- (|partial| -11 (-5 *5 (-1 (-3 (-485) #1#) *4)) (-4 *4 (-962)) (-5 *2 (-485))
- (-5 *1 (-482 *4 *3)) (-4 *3 (-1156 *4))))
+ (|partial| AND (|isDomain| *5 (|Mapping| (|Union| (|Integer|) #1#) *4))
+ (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|InnerPolySign| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))
((*1 *2 *3 *4 *5)
- (|partial| -11 (-5 *5 (-1 (-3 (-485) #1#) *4)) (-4 *4 (-962)) (-5 *2 (-485))
- (-5 *1 (-482 *4 *3)) (-4 *3 (-1156 *4)))))
-(((*1 *2 *2 *3) (-11 (-4 *3 (-257)) (-5 *1 (-395 *3 *2)) (-4 *2 (-1156 *3))))
- ((*1 *2 *2 *3) (-11 (-4 *3 (-257)) (-5 *1 (-400 *3 *2)) (-4 *2 (-1156 *3))))
+ (|partial| AND (|isDomain| *5 (|Mapping| (|Union| (|Integer|) #1#) *4))
+ (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|InnerPolySign| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *2 *3)
+ (AND (|ofCategory| *3 (|EuclideanDomain|))
+ (|isDomain| *1 (|GenExEuclid| *3 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))
((*1 *2 *2 *3)
- (-11 (-4 *3 (-257)) (-13 *4 *3) (-13 *5 (-1 *3 *3 (-695)))
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- (-5 *1 (-471 *6 *7 *4)) (-4 *7 (-311)) (-4 *4 (-12 (-311) (-756))))))
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+ (|ofCategory| *7 (|Field|))
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+ ((*1 *1 *2)
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(((*1 *2 *3 *2)
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((*1 *2 *3 *2 *4)
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- (-4 *2 (-1156 (-485)))))
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- (-4 *2 (-1156 (-485)))))
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((*1 *2 *3 *2 *4 *5)
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+ (|isDomain| *1 (|GaloisGroupFactorizer| *2))
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+ (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Factored| *2))
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+ (|ofCategory| *5 (|Ring|)))))
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+ (AND
+ (|isDomain| *3
+ (|List| (|Record| (|:| |factor| *4) (|:| |degree| (|Integer|)))))
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- (-5 *1 (-383 *4 *3 *2)) (-4 *3 (-1156 *4)))))
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+ (AND (|ofCategory| *3 (|Ring|))
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+ (AND (|ofCategory| *3 (|Ring|))
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+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *2
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *4)
+ (|Field|) (|TranscendentalFunctionCategory|)
+ (|ElementaryFunctionCategory|)))
+ (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|Ring|))
+ (|ofCategory| *2
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *4)
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+ (|ElementaryFunctionCategory|)))
+ (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
(((*1 *2 *3 *4)
- (-11 (-5 *4 (-695)) (-4 *5 (-962)) (-5 *2 (-485)) (-5 *1 (-383 *5 *3 *6))
- (-4 *3 (-1156 *5)) (-4 *6 (-12 (-346) (-951 *5) (-311) (-1116) (-238)))))
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+ (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *5 *3 *6))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *6
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *5)
+ (|Field|) (|TranscendentalFunctionCategory|)
+ (|ElementaryFunctionCategory|)))))
((*1 *2 *3)
- (-11 (-4 *4 (-962)) (-5 *2 (-485)) (-5 *1 (-383 *4 *3 *5)) (-4 *3 (-1156 *4))
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- (-4 *5 (-12 (-346) (-951 *4) (-311) (-1116) (-238))))))
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+ (|ofCategory| *5
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *4)
+ (|Field|) (|TranscendentalFunctionCategory|)
+ (|ElementaryFunctionCategory|))))))
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+ (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|))
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+ (|ofCategory| *5
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *4)
+ (|Field|) (|TranscendentalFunctionCategory|)
+ (|ElementaryFunctionCategory|))))))
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+ (AND (|ofCategory| *4 (|Ring|))
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+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *4)
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+ (|ElementaryFunctionCategory|)))
+ (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2))
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+ ((*1 *2 *3 *4)
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+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *5)
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+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)))))
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+ (|ofCategory| *5
+ (|Join| (|FloatingPointSystem|) (|RetractableTo| *4)
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+ (AND
+ (|isDomain| *2
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+ (|isDomain| *3
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+(((*1 *1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|List|
+ (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime"))
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+ ((*1 *2 *3)
+ (AND
+ (|isDomain| *3
+ (|Record| (|:| |contp| (|Integer|))
+ (|:| |factors|
+ (|List|
+ (|Record| (|:| |irr| *4) (|:| |pow| (|Integer|)))))))
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+ (AND
+ (|isDomain| *2
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+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
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+ (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))
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+ (AND
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
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+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|)))))
+(((*1 *2)
+ (AND
+ (|ofCategory| *3 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
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+ (AND
+ (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|))))
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+ (|ofCategory| *2 (|FunctionSpace| *3)))))
+(((*1 *2 *2)
+ (AND (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2))
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(((*1 *1 *2 *3)
- (-11 (-5 *1 (-371 *3 *2)) (-4 *3 (-12 (-145) (-35 (-349 (-485)))))
- (-4 *2 (-12 (-757) (-18))))))
+ (AND (|isDomain| *1 (|FourierSeries| *3 *2))
+ (|ofCategory| *3
+ (|Join| (|CommutativeRing|)
+ (|Algebra| (|Fraction| (|Integer|)))))
+ (|ofCategory| *2 (|Join| (|OrderedSet|) (|AbelianGroup|))))))
(((*1 *1 *2 *3)
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- (-5 *1 (-366 *3 *2 *4 *5 *6 *7)) (-4 *6 (-897 *5)) (-13 *7 (-1091)))))
+ (AND (|isDomain| *1 (|FourierSeries| *3 *2))
+ (|ofCategory| *3
+ (|Join| (|CommutativeRing|)
+ (|Algebra| (|Fraction| (|Integer|)))))
+ (|ofCategory| *2 (|Join| (|OrderedSet|) (|AbelianGroup|))))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *5
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|IntegrationResult| *3))
+ (|isDomain| *1 (|FunctionSpaceComplexIntegration| *5 *3))
+ (|ofCategory| *3
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *5))))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteSetAggregate| *3))
+ (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|NonNegativeInteger|)))))
+(((*1 *1 *1)
+ (AND (|ofCategory| *1 (|FiniteSetAggregate| *2))
+ (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Finite|)))))
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+ (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|Finite|))
+ (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *2 *2)
+ (AND
+ (|ofCategory| *3
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
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+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *3)))
+ (|ofType| *4 (|Symbol|)) (|ofType| *5 *2)))
+ ((*1 *2 *2)
+ (AND
+ (|ofCategory| *3
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
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+ (|ofCategory| *2
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *3)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *4)))))
+ (|ofCategory| *4 (|OrderedRing|))
+ (|ofCategory| *5
+ (|Join| (|UnivariatePowerSeriesCategory| *2 *4) (|Field|)
+ (|TranscendentalFunctionCategory|)
+ (CATEGORY |domain| (SIGNATURE |differentiate| ($ $))
+ (SIGNATURE |integrate| ($ $)))))
+ (|isDomain| *1 (|FunctionSpaceToUnivariatePowerSeries| *3 *2 *4 *5 *6 *7))
+ (|ofCategory| *6 (|PartialTranscendentalFunctions| *5))
+ (|ofType| *7 (|Symbol|)))))
(((*1 *2 *3 *4 *5)
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- (-5 *2
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- (|:| |%problem| (-2 (|:| |func| (-1074)) (|:| |prob| (-1074))))))
- (-5 *1 (-366 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1074)) (-4 *9 (-897 *8))
- (-13 *10 (-1091)))))
+ (AND (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)))))
+ (|ofCategory| *7 (|OrderedRing|))
+ (|ofCategory| *8
+ (|Join| (|UnivariatePowerSeriesCategory| *3 *7) (|Field|)
+ (|TranscendentalFunctionCategory|)
+ (CATEGORY |domain|
+ (SIGNATURE |differentiate| ($ $))
+ (SIGNATURE |integrate| ($ $)))))
+ (|isDomain| *2
+ (|Union| (|:| |%series| *8)
+ (|:| |%problem|
+ (|Record| (|:| |func| #1=(|String|)) (|:| |prob| #1#)))))
+ (|isDomain| *1
+ (|FunctionSpaceToUnivariatePowerSeries| *6 *3 *7 *8 *9 *10))
+ (|isDomain| *5 (|String|))
+ (|ofCategory| *9 (|PartialTranscendentalFunctions| *8))
+ (|ofType| *10 (|Symbol|)))))
(((*1 *2 *3 *4 *5)
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- (-10 -8 (-14 -3761 ($ $)) (-14 -3815 ($ $)))))
- (-5 *2
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- (|:| |%problem| (-2 (|:| |func| (-1074)) (|:| |prob| (-1074))))))
- (-5 *1 (-366 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1074)) (-4 *9 (-897 *8))
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-(((*1 *2 *3 *4)
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- (-5 *2
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- ((*1 *2 *1) (-11 (-4 *1 (-363 *2)) (-4 *2 (-1014)))))
+ (AND (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *6)
+ (CATEGORY |domain| (SIGNATURE |coerce| ($ *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| #1=(|String|)) (|:| |prob| #1#)))))
+ (|isDomain| *1
+ (|FunctionSpaceToUnivariatePowerSeries| *6 *3 *7 *8 *9 *10))
+ (|isDomain| *5 (|String|))
+ (|ofCategory| *9 (|PartialTranscendentalFunctions| *8))
+ (|ofType| *10 (|Symbol|)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|Boolean|))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2
+ (|Union| (|:| |%expansion| (|ExponentialExpansion| *5 *3 *6 *7))
+ (|:| |%problem|
+ (|Record| (|:| |func| (|String|))
+ (|:| |prob| (|String|))))))
+ (|isDomain| *1 (|FunctionSpaceToExponentialExpansion| *5 *3 *6 *7))
+ (|ofCategory| *3
+ (|Join| (|AlgebraicallyClosedField|)
+ (|TranscendentalFunctionCategory|)
+ (|FunctionSpace| *5)))
+ (|ofType| *6 (|Symbol|)) (|ofType| *7 *3))))
+(((*1 *2 *1)
+ (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 (|SetCategory|))
+ (|isDomain| *2 (|Boolean|)))))
+(((*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 (|SetCategory|)))))
(((*1 *1 *2 *3)
- (-11 (-5 *2 (-1091)) (-5 *3 (-584 *1)) (-4 *1 (-363 *4)) (-4 *4 (-1014))))
+ (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|List| *1))
+ (|ofCategory| *1 (|FunctionSpace| *4))
+ (|ofCategory| *4 (|SetCategory|))))
((*1 *1 *2 *1 *1 *1 *1)
- (-11 (-5 *2 (-1091)) (-4 *1 (-363 *3)) (-4 *3 (-1014))))
- ((*1 *1 *2 *1 *1 *1) (-11 (-5 *2 (-1091)) (-4 *1 (-363 *3)) (-4 *3 (-1014))))
- ((*1 *1 *2 *1 *1) (-11 (-5 *2 (-1091)) (-4 *1 (-363 *3)) (-4 *3 (-1014))))
- ((*1 *1 *2 *1) (-11 (-5 *2 (-1091)) (-4 *1 (-363 *3)) (-4 *3 (-1014)))))
-(((*1 *2 *1)
- (|partial| -11 (-4 *3 (-22)) (-4 *3 (-1014))
- (-5 *2 (-2 (|:| -3958 (-485)) (|:| |var| (-551 *1)))) (-4 *1 (-363 *3)))))
-(((*1 *2 *2 *2) (-11 (-5 *2 (-347 *3)) (-4 *3 (-496)) (-5 *1 (-361 *3)))))
-(((*1 *1 *2) (-11 (-5 *2 (-1180 *3)) (-4 *3 (-311)) (-4 *1 (-279 *3))))
+ (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *1 *2 *1 *1 *1)
+ (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *1 *2 *1 *1)
+ (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3))
+ (|ofCategory| *3 (|SetCategory|))))
+ ((*1 *1 *2 *1)
+ (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|FunctionSpace| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *2 *1)
+ (|partial| AND (|ofCategory| *3 (|AbelianSemiGroup|))
+ (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2
+ (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| *1))))
+ (|ofCategory| *1 (|FunctionSpace| *3)))))
+(((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|))
+ (|isDomain| *1 (|FactoredFunctionUtilities| *3)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|Field|))
+ (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3))))
((*1 *1 *2 *3)
- (-11 (-5 *2 (-1180 *3)) (-4 *3 (-1156 *4)) (-4 *4 (-1135))
- (-4 *1 (-290 *4 *3 *5)) (-4 *5 (-1156 (-349 *3)))))
+ (AND (|isDomain| *2 (|Vector| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *4 (|UniqueFactorizationDomain|))
+ (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3)))))
((*1 *1 *2 *3)
- (-11 (-5 *2 (-1180 *4)) (-5 *3 (-1180 *1)) (-4 *4 (-145)) (-4 *1 (-315 *4))))
+ (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4))))
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- (-11 (-5 *2 (-1180 *4)) (-5 *3 (-1180 *1)) (-4 *4 (-145))
- (-4 *1 (-321 *4 *5)) (-4 *5 (-1156 *4))))
- ((*1 *1 *2)
- (-11 (-5 *2 (-1180 *3)) (-4 *3 (-145)) (-4 *1 (-352 *3 *4))
- (-4 *4 (-1156 *3))))
- ((*1 *1 *2) (-11 (-5 *2 (-1180 *3)) (-4 *3 (-145)) (-4 *1 (-360 *3)))))
-(((*1 *2 *3) (-11 (-5 *3 (-1180 *1)) (-4 *1 (-315 *2)) (-4 *2 (-145))))
- ((*1 *2) (-11 (-4 *2 (-145)) (-5 *1 (-359 *3 *2)) (-4 *3 (-360 *2))))
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-(((*1 *2 *3) (-11 (-5 *3 (-1180 *1)) (-4 *1 (-315 *2)) (-4 *2 (-145))))
- ((*1 *2) (-11 (-4 *2 (-145)) (-5 *1 (-359 *3 *2)) (-4 *3 (-360 *2))))
- ((*1 *2) (-11 (-4 *1 (-360 *2)) (-4 *2 (-145)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-315 *4)) (-4 *4 (-145)) (-5 *2 (-631 *4))))
+ (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *1 (|FramedAlgebra| *3 *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
+ ((*1 *2)
+ (AND (|ofCategory| *2 (|CommutativeRing|))
+ (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *2))
+ (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *2))))
+ ((*1 *2)
+ (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|))))
((*1 *2)
- (-11 (-4 *4 (-145)) (-5 *2 (-631 *4)) (-5 *1 (-359 *3 *4))
- (-4 *3 (-360 *4))))
- ((*1 *2) (-11 (-4 *1 (-360 *3)) (-4 *3 (-145)) (-5 *2 (-631 *3)))))
+ (AND (|ofCategory| *2 (|CommutativeRing|))
+ (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *2))
+ (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *2))))
+ ((*1 *2)
+ (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
(((*1 *2 *3)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-315 *4)) (-4 *4 (-145)) (-5 *2 (-631 *4))))
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4))
+ (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4))))
+ ((*1 *2)
+ (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4))
+ (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4))
+ (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))
+ ((*1 *2)
+ (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4))
+ (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4))))
+ ((*1 *2)
+ (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4))
+ (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4))
+ (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))
((*1 *2)
- (-11 (-4 *4 (-145)) (-5 *2 (-631 *4)) (-5 *1 (-359 *3 *4))
- (-4 *3 (-360 *4))))
- ((*1 *2) (-11 (-4 *1 (-360 *3)) (-4 *3 (-145)) (-5 *2 (-631 *3)))))
+ (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3)))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-315 *4)) (-4 *4 (-145)) (-5 *2 (-631 *4))))
- ((*1 *2 *1) (-11 (-4 *1 (-360 *3)) (-4 *3 (-145)) (-5 *2 (-631 *3)))))
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4))
+ (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3)))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-315 *4)) (-4 *4 (-145)) (-5 *2 (-631 *4))))
- ((*1 *2 *1) (-11 (-4 *1 (-360 *3)) (-4 *3 (-145)) (-5 *2 (-631 *3)))))
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4))
+ (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3)))))
(((*1 *1 *2)
- (-11 (-5 *2 (-355 *3 *4 *5 *6)) (-4 *6 (-951 *4)) (-4 *3 (-257))
- (-4 *4 (-905 *3)) (-4 *5 (-1156 *4)) (-4 *6 (-352 *4 *5))
- (-13 *7 (-1180 *6)) (-5 *1 (-357 *3 *4 *5 *6 *7))))
+ (AND (|isDomain| *2 (|FractionalIdeal| *3 *4 *5 *6))
+ (|ofCategory| *6 (|RetractableTo| *4))
+ (|ofCategory| *3 (|EuclideanDomain|))
+ (|ofCategory| *4 (|QuotientFieldCategory| *3))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *6 (|FramedAlgebra| *4 *5)) (|ofType| *7 (|Vector| *6))
+ (|isDomain| *1 (|FramedModule| *3 *4 *5 *6 *7))))
((*1 *1 *2)
- (-11 (-5 *2 (-1180 *6)) (-4 *6 (-352 *4 *5)) (-4 *4 (-905 *3))
- (-4 *5 (-1156 *4)) (-4 *3 (-257)) (-5 *1 (-357 *3 *4 *5 *6 *7))
- (-13 *7 *2))))
+ (AND (|isDomain| *2 (|Vector| *6)) (|ofCategory| *6 (|FramedAlgebra| *4 *5))
+ (|ofCategory| *4 (|QuotientFieldCategory| *3))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *3 (|EuclideanDomain|))
+ (|isDomain| *1 (|FramedModule| *3 *4 *5 *6 *7)) (|ofType| *7 *2))))
(((*1 *1 *1)
- (-11 (-4 *2 (-257)) (-4 *3 (-905 *2)) (-4 *4 (-1156 *3))
- (-5 *1 (-355 *2 *3 *4 *5)) (-4 *5 (-12 (-352 *3 *4) (-951 *3))))))
+ (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 *4)
- (-11 (-5 *3 (-695)) (-5 *4 (-1180 *2)) (-4 *5 (-257)) (-4 *6 (-905 *5))
- (-4 *2 (-12 (-352 *6 *7) (-951 *6))) (-5 *1 (-355 *5 *6 *7 *2))
- (-4 *7 (-1156 *6)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-321 *4 *5)) (-4 *4 (-145))
- (-4 *5 (-1156 *4)) (-5 *2 (-631 *4))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Vector| *2))
+ (|ofCategory| *5 (|EuclideanDomain|))
+ (|ofCategory| *6 (|QuotientFieldCategory| *5))
+ (|ofCategory| *2 (|Join| (|FramedAlgebra| *6 *7) (|RetractableTo| *6)))
+ (|isDomain| *1 (|FractionalIdeal| *5 *6 *7 *2))
+ (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5))
+ (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Matrix| *4))))
((*1 *2)
- (-11 (-4 *4 (-145)) (-4 *5 (-1156 *4)) (-5 *2 (-631 *4))
- (-5 *1 (-351 *3 *4 *5)) (-4 *3 (-352 *4 *5))))
+ (AND (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Matrix| *4))
+ (|isDomain| *1 (|FramedAlgebra&| *3 *4 *5))
+ (|ofCategory| *3 (|FramedAlgebra| *4 *5))))
((*1 *2)
- (-11 (-4 *1 (-352 *3 *4)) (-4 *3 (-145)) (-4 *4 (-1156 *3))
- (-5 *2 (-631 *3)))))
+ (AND (|ofCategory| *1 (|FramedAlgebra| *3 *4))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|isDomain| *2 (|Matrix| *3)))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-1180 *1)) (-4 *1 (-321 *4 *5)) (-4 *4 (-145))
- (-4 *5 (-1156 *4)) (-5 *2 (-631 *4))))
+ (AND (|isDomain| *3 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankAlgebra| *4 *5))
+ (|ofCategory| *4 (|CommutativeRing|))
+ (|ofCategory| *5 (|UnivariatePolynomialCategory| *4))
+ (|isDomain| *2 (|Matrix| *4))))
((*1 *2 *1)
- (-11 (-4 *1 (-352 *3 *4)) (-4 *3 (-145)) (-4 *4 (-1156 *3))
- (-5 *2 (-631 *3)))))
-(((*1 *1 *2 *3) (-11 (-5 *3 (-485)) (-5 *1 (-347 *2)) (-4 *2 (-496)))))
+ (AND (|ofCategory| *1 (|FramedAlgebra| *3 *4))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|isDomain| *2 (|Matrix| *3)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *2 *1)
- (-11 (-5 *2 (-584 (-2 (|:| |gen| *3) (|:| -3947 (-485))))) (-5 *1 (-309 *3))
- (-4 *3 (-1014))))
+ (AND
+ (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| (|Integer|)))))
+ (|isDomain| *1 (|FreeGroup| *3)) (|ofCategory| *3 (|SetCategory|))))
((*1 *2 *1)
- (-11 (-4 *1 (-335 *3)) (-4 *3 (-1014))
- (-5 *2 (-584 (-2 (|:| |gen| *3) (|:| -3947 (-695)))))))
+ (AND (|ofCategory| *1 (|FreeMonoidCategory| *3))
+ (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |gen| *3) (|:| |exp| (|NonNegativeInteger|)))))))
((*1 *2 *1)
- (-11 (-5 *2 (-584 (-2 (|:| -3735 *3) (|:| -2403 (-485))))) (-5 *1 (-347 *3))
- (-4 *3 (-496)))))
-(((*1 *1 *2 *3) (-11 (-5 *3 (-485)) (-5 *1 (-347 *2)) (-4 *2 (-496)))))
-(((*1 *2 *1 *2) (-11 (-5 *2 (-485)) (-5 *1 (-347 *3)) (-4 *3 (-496)))))
+ (AND
+ (|isDomain| *2
+ (|List| (|Record| (|:| |factor| *3) (|:| |exponent| (|Integer|)))))
+ (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *2 *1 *2)
+ (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Factored| *3))
+ (|ofCategory| *3 (|IntegralDomain|)))))
(((*1 *2 *1 *3)
- (-11 (-5 *3 (-485)) (-5 *2 (-3 "nil" "sqfr" "irred" "prime"))
- (-5 *1 (-347 *4)) (-4 *4 (-496)))))
-(((*1 *1 *2 *3) (-11 (-5 *3 (-485)) (-5 *1 (-347 *2)) (-4 *2 (-496)))))
-(((*1 *1 *2 *3) (-11 (-5 *3 (-485)) (-5 *1 (-347 *2)) (-4 *2 (-496)))))
+ (AND (|isDomain| *3 (|Integer|))
+ (|isDomain| *2 (|Union| "nil" "sqfr" "irred" "prime"))
+ (|isDomain| *1 (|Factored| *4)) (|ofCategory| *4 (|IntegralDomain|)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
(((*1 *1 *2 *3 *4)
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- (-5 *1 (-347 *2)) (-4 *2 (-496)))))
-(((*1 *1 *2) (-11 (-5 *2 (-584 (-329))) (-5 *1 (-220))))
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- ((*1 *2 *1) (-11 (-5 *1 (-347 *2)) (-4 *2 (-496)))))
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-(((*1 *1 *1 *2) (-11 (-4 *1 (-344)) (-5 *2 (-695))))
- ((*1 *1 *1) (-4 *1 (-344))))
+ (AND (|isDomain| *3 (|Integer|))
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+ (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| (|Float|))) (|isDomain| *1 (|DrawOption|))))
+ ((*1 *1)
+ (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|CommutativeRing|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *1 *1)
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+ (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|Integer|)))))
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+ (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|)))))
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+ (AND (|isDomain| *2 (|PositiveInteger|))
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+ (|ofCategory| *1 (|FloatingPointSystem|))))
+ ((*1 *2)
+ (AND (|ofCategory| *1 (|FloatingPointSystem|))
+ (|isDomain| *2 (|PositiveInteger|)))))
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+ (AND (|isDomain| *3 (|Integer|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|))
+ (|ofCategory| *1 (|FloatingPointSystem|))
+ (|isDomain| *2 (|PositiveInteger|)))))
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+ (AND (|isDomain| *3 (|Integer|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|))
+ (|ofCategory| *1 (|FloatingPointSystem|))
+ (|isDomain| *2 (|PositiveInteger|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteFieldCategory|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *2 *1 *1)
+ (|partial| AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|))
+ (|isDomain| *2 (|NonNegativeInteger|)))))
+(((*1 *1 *1 *2)
+ (AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|))
+ (|isDomain| *2 (|NonNegativeInteger|))))
+ ((*1 *1 *1) (|ofCategory| *1 (|FieldOfPrimeCharacteristic|))))
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-(((*1 *2 *1)
- (-11 (-4 *2 (-1156 *3)) (-5 *1 (-341 *3 *2)) (-4 *3 (-12 (-311) (-117))))))
-(((*1 *2 *1)
- (-11 (-4 *3 (-12 (-311) (-117)))
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-(((*1 *2 *1) (-11 (-4 *1 (-338)) (-5 *2 (-82)))))
-(((*1 *2 *1) (-11 (-4 *1 (-338)) (-5 *2 (-82)))))
-(((*1 *1 *1 *1) (-11 (-4 *1 (-335 *2)) (-4 *2 (-1014)))))
-(((*1 *1 *1 *1) (-11 (-4 *1 (-335 *2)) (-4 *2 (-1014)))))
+ (AND (|isDomain| *2 (|Fraction| *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))
+ (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|)))
+ (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))
+ (|isDomain| *1 (|FullPartialFractionExpansion| *3 *2))
+ (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|)))
+ (|isDomain| *2
+ (|List|
+ (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| *4)
+ (|:| |num| *4))))
+ (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4))
+ (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|OutputForm|))
+ (|isDomain| *1 (|FreeNilpotentLie| *3 *4 *5))
+ (|ofType| *3 (|NonNegativeInteger|))
+ (|ofType| *4 (|NonNegativeInteger|))
+ (|ofCategory| *5 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|OutputForm|))
+ (|isDomain| *1 (|FreeNilpotentLie| *3 *4 *5))
+ (|ofType| *3 (|NonNegativeInteger|))
+ (|ofType| *4 (|NonNegativeInteger|))
+ (|ofCategory| *5 (|CommutativeRing|)))))
+(((*1 *1 *2 *2 *2)
+ (AND (|isDomain| *2 (|String|)) (|ofCategory| *1 (|FileNameCategory|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|)))))
+(((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|FreeMonoidCategory| *2))
+ (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|FreeMonoidCategory| *2))
+ (|ofCategory| *2 (|SetCategory|)))))
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- (-11 (-4 *3 (-1014)) (-5 *2 (-2 (|:| |lm| *1) (|:| |mm| *1) (|:| |rm| *1)))
- (-4 *1 (-335 *3)))))
+ (AND (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *2 (|Record| (|:| |lm| *1) (|:| |mm| *1) (|:| |rm| *1)))
+ (|ofCategory| *1 (|FreeMonoidCategory| *3)))))
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- (-11 (-4 *1 (-334 *3 *4)) (-4 *3 (-962)) (-4 *4 (-1014))
- (-5 *2 (-2 (|:| |k| *4) (|:| |c| *3))))))
+ (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|))
+ (|ofCategory| *4 (|SetCategory|))
+ (|isDomain| *2 (|Record| (|:| |k| *4) (|:| |c| *3))))))
(((*1 *2 *3 *4 *5)
- (-11 (-5 *3 (-584 (-349 (-858 (-485))))) (-5 *4 (-584 (-1091)))
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- (-11 (-5 *3 (-349 (-858 (-485)))) (-5 *2 (-584 *4)) (-5 *1 (-331 *4))
- (-4 *4 (-12 (-756) (-311))))))
+ (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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- (-11 (-5 *3 (-349 (-858 (-141 (-485))))) (-5 *2 (-584 (-141 *4)))
- (-5 *1 (-330 *4)) (-4 *4 (-12 (-311) (-756)))))
+ (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Complex| *4)))
+ (|isDomain| *1 (|FloatingComplexPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))
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- (-11 (-5 *3 (-584 (-349 (-858 (-141 (-485)))))) (-5 *4 (-584 (-1091)))
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- ((*1 *2 *3 *4)
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- (-5 *2 (-584 (-248 (-858 (-141 *4))))) (-5 *1 (-330 *4))
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- ((*1 *2) (-11 (-5 *2 (-1186)) (-5 *1 (-329)))))
-(((*1 *2 *3) (-11 (-5 *3 (-695)) (-5 *2 (-1186)) (-5 *1 (-329)))))
+ (AND
+ (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))))
+ (|isDomain| *4 (|List| (|Symbol|)))
+ (|isDomain| *2 (|List| (|List| (|Complex| *5))))
+ (|isDomain| *1 (|FloatingComplexPackage| *5))
+ (|ofCategory| *5 (|Join| (|Field|) (|OrderedRing|))))))
+(((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))))
+ (|isDomain| *2 (|List| (|List| (|Equation| (|Polynomial| (|Complex| *4))))))
+ (|isDomain| *1 (|FloatingComplexPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3
+ (|List| (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))))
+ (|isDomain| *2 (|List| (|List| (|Equation| (|Polynomial| (|Complex| *4))))))
+ (|isDomain| *1 (|FloatingComplexPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))
+ (|isDomain| *2 (|List| (|Equation| (|Polynomial| (|Complex| *4)))))
+ (|isDomain| *1 (|FloatingComplexPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))
+ ((*1 *2 *3 *4)
+ (AND
+ (|isDomain| *3
+ (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))))
+ (|isDomain| *2 (|List| (|Equation| (|Polynomial| (|Complex| *4)))))
+ (|isDomain| *1 (|FloatingComplexPackage| *4))
+ (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))))))
+(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Float|)))))
+(((*1 *2 *1 *3 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|DoubleFloat|))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|DoubleFloat|))))
+ ((*1 *2 *1 *3 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|Float|))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|Float|)))))
+(((*1 *1 *1) (|isDomain| *1 (|DoubleFloat|)))
+ ((*1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *1) (|isDomain| *1 (|Float|))))
+(((*1 *1 *1) (|isDomain| *1 (|DoubleFloat|)))
+ ((*1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *1) (|isDomain| *1 (|Float|))))
+(((*1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1) (|isDomain| *1 (|Float|))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|Float|))))
+ ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|Float|))))
+ ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|)))))
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+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|Float|))))
+ ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|Float|)))))
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- (-11 (-5 *3 (-1 (-82) *4 *4)) (-4 *4 (-1130)) (-5 *1 (-326 *4 *2))
- (-4 *2 (-12 (-323 *4) (-1036 *4))))))
+ (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2))
+ (|ofCategory| *2
+ (|Join| (|FiniteLinearAggregate| *4)
+ (|ShallowlyMutableAggregate| *4))))))
(((*1 *2 *3 *2)
- (-11 (-5 *3 (-1 (-82) *4 *4)) (-4 *4 (-1130)) (-5 *1 (-326 *4 *2))
- (-4 *2 (-12 (-323 *4) (-1036 *4))))))
+ (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2))
+ (|ofCategory| *2
+ (|Join| (|FiniteLinearAggregate| *4)
+ (|ShallowlyMutableAggregate| *4))))))
(((*1 *2 *3 *2)
- (-11 (-5 *3 (-1 (-82) *4 *4)) (-4 *4 (-1130)) (-5 *1 (-326 *4 *2))
- (-4 *2 (-12 (-323 *4) (-1036 *4))))))
+ (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|))
+ (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2))
+ (|ofCategory| *2
+ (|Join| (|FiniteLinearAggregate| *4)
+ (|ShallowlyMutableAggregate| *4))))))
(((*1 *1 *2)
- (-11 (-5 *2 (-615 *3)) (-4 *3 (-757)) (-4 *1 (-325 *3 *4)) (-4 *4 (-145)))))
+ (AND (|isDomain| *2 (|LyndonWord| *3)) (|ofCategory| *3 (|OrderedSet|))
+ (|ofCategory| *1 (|FreeLieAlgebra| *3 *4))
+ (|ofCategory| *4 (|CommutativeRing|)))))
(((*1 *2 *1)
- (-11 (-4 *1 (-323 *3)) (-4 *3 (-1130)) (-4 *3 (-757)) (-5 *2 (-82))))
+ (AND (|ofCategory| *1 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|OrderedSet|))
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((*1 *2 *3 *1)
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- (-5 *2 (-82)))))
+ (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4))
+ (|ofCategory| *1 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)))))
(((*1 *1 *1 *1 *2)
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+ (|ofCategory| *1 (|ShallowlyMutableAggregate| *3))
+ (|ofCategory| *1 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|Type|)))))
(((*1 *1 *1)
- (-11 (-4 *1 (-1036 *2)) (-4 *1 (-323 *2)) (-4 *2 (-1130)) (-4 *2 (-757))))
+ (AND (|ofCategory| *1 (|ShallowlyMutableAggregate| *2))
+ (|ofCategory| *1 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|OrderedSet|))))
((*1 *1 *2 *1)
- (-11 (-5 *2 (-1 (-82) *3 *3)) (-4 *1 (-1036 *3)) (-4 *1 (-323 *3))
- (-4 *3 (-1130)))))
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3 *3))
+ (|ofCategory| *1 (|ShallowlyMutableAggregate| *3))
+ (|ofCategory| *1 (|FiniteLinearAggregate| *3))
+ (|ofCategory| *3 (|Type|)))))
(((*1 *2 *3 *1)
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+ (|ofCategory| *1 (|FiniteAggregate| *4)) (|ofCategory| *4 (|Type|))
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(((*1 *2 *3 *1)
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+ (|ofCategory| *1 (|FiniteAggregate| *4)) (|ofCategory| *4 (|Type|))
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(((*1 *2 *3 *1)
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+ (AND (|ofCategory| *1 (|FiniteAggregate| *3)) (|ofCategory| *3 (|Type|))
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((*1 *2 *3 *1)
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+ (|ofCategory| *1 (|FiniteAggregate| *4)) (|ofCategory| *4 (|Type|))
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-(((*1 *2 *1) (-11 (-4 *1 (-315 *2)) (-4 *2 (-145)))))
-(((*1 *2 *1) (-11 (-4 *1 (-315 *2)) (-4 *2 (-145)))))
-(((*1 *2 *1) (-11 (-4 *1 (-315 *2)) (-4 *2 (-145)))))
-(((*1 *2 *1) (-11 (-4 *1 (-315 *2)) (-4 *2 (-145)))))
-(((*1 *2 *1) (-11 (-4 *1 (-315 *3)) (-4 *3 (-145)) (-5 *2 (-1086 *3)))))
-(((*1 *2 *1) (-11 (-4 *1 (-315 *3)) (-4 *3 (-145)) (-5 *2 (-1086 *3)))))
+ (|partial| AND (|isDomain| *3 (|Mapping| (|Boolean|) *2))
+ (|ofCategory| *1 (|FiniteAggregate| *2)) (|ofCategory| *2 (|Type|)))))
(((*1 *2)
- (-11 (-4 *4 (-145)) (-5 *2 (-82)) (-5 *1 (-314 *3 *4)) (-4 *3 (-315 *4))))
- ((*1 *2) (-11 (-4 *1 (-315 *3)) (-4 *3 (-145)) (-5 *2 (-82)))))
+ (AND (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| *1))
+ (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2))
+ (|ofCategory| *2 (|CommutativeRing|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
+ (|isDomain| *2 (|SparseUnivariatePolynomial| *3)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3))
+ (|ofCategory| *3 (|CommutativeRing|))
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+ (AND (|isDomain| *2 (|FunctorData|)) (|isDomain| *1 (|DomainConstructor|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|CategoryConstructor|)) (|isDomain| *1 (|Category|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *1 (|ConstructorCall| *2))
+ (|ofCategory| *2 (|ConstructorCategory|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|DomainConstructor|)) (|isDomain| *1 (|Domain|)))))
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+ (AND (|isDomain| *2 (|ConstructorCall| (|DomainConstructor|)))
+ (|isDomain| *1 (|Domain|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|ConstructorCall| (|DomainConstructor|)))
+ (|isDomain| *1 (|Domain|)))))
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-(((*1 *2 *3)
- (-11 (-5 *3 (-248 (-858 (-485))))
- (-5 *2
- (-2 (|:| |varOrder| (-584 (-1091)))
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- ((*1 *2 *2) (-11 (-5 *2 (-141 (-178))) (-5 *1 (-179)))))
-(((*1 *2 *1) (-11 (-5 *2 (-82)) (-5 *1 (-178)))))
+ (|partial| AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|ofCategory| *3
+ (|Join| (|Monoid|) (|Finite|)
+ (CATEGORY |package|
+ (SIGNATURE ** (*3 *3 (|Integer|))))))
+ (|isDomain| *1 (|DiscreteLogarithmPackage| *3)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|))
+ (|isDomain| *1 (|DataList| *3)))))
+(((*1 *1 *1)
+ (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2))
+ (|ofCategory| *2 (|Type|)))))
+(((*1 *1 *1)
+ (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2))
+ (|ofCategory| *2 (|Type|)))))
+(((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|ShallowlyMutableAggregate| *2))
+ (|ofCategory| *1 (|DoublyLinkedAggregate| *2))
+ (|ofCategory| *2 (|Type|)))))
+(((*1 *1 *1 *1)
+ (AND (|ofCategory| *1 (|ShallowlyMutableAggregate| *2))
+ (|ofCategory| *1 (|DoublyLinkedAggregate| *2))
+ (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|))
+ (|isDomain| *1 (|DisplayPackage|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Integer|))
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+ (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|DisplayPackage|))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Void|))
+ (|isDomain| *1 (|DisplayPackage|)))))
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+ (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|Integer|))
+ (|isDomain| *1 (|DisplayPackage|)))))
+(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DisplayPackage|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|Vector| *4)) (|ofCategory| *4 (|Type|))
+ (|ofCategory| *1 (|DirectProductCategory| *3 *4)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|Equation| (|Polynomial| (|Integer|))))
+ (|isDomain| *2
+ (|Record| (|:| |varOrder| (|List| (|Symbol|)))
+ (|:| |inhom|
+ (|Union| (|List| (|Vector| (|NonNegativeInteger|)))
+ "failed"))
+ (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))))
+ (|isDomain| *1 (|DiophantineSolutionPackage|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|))
+ (|ofCategory| *1 (|DictionaryOperations| *3))))
+ ((*1 *1)
+ (AND (|ofCategory| *1 (|DictionaryOperations| *2))
+ (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *1)
+ (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2))
+ (|ofCategory| *2
+ (|Join| (|Field|) (|TranscendentalFunctionCategory|))))))
+(((*1 *1 *2)
+ (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2))
+ (|ofCategory| *2
+ (|Join| (|Field|) (|TranscendentalFunctionCategory|))))))
+(((*1 *1 *2)
+ (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2))
+ (|ofCategory| *2
+ (|Join| (|Field|) (|TranscendentalFunctionCategory|))))))
+(((*1 *1 *2)
+ (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2))
+ (|ofCategory| *2
+ (|Join| (|Field|) (|TranscendentalFunctionCategory|))))))
+(((*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)
+ (AND (|isDomain| *2 (|DoubleFloat|))
+ (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))
+ ((*1 *2 *2)
+ (AND (|isDomain| *2 (|Complex| (|DoubleFloat|)))
+ (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))))
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(((*1 *2 *3 *4 *5 *5 *2)
- (|partial| -11 (-5 *2 (-82)) (-5 *3 (-858 *6)) (-5 *4 (-1091))
- (-5 *5 (-751 *7)) (-4 *6 (-12 (-392) (-951 (-485)) (-581 (-485))))
- (-4 *7 (-12 (-1116) (-26 *6))) (-5 *1 (-177 *6 *7))))
+ (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|Polynomial| *6))
+ (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|OrderedCompletion| *7))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|ofCategory| *7
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *6)))
+ (|isDomain| *1 (|DefiniteIntegrationTools| *6 *7))))
((*1 *2 *3 *4 *4 *2)
- (|partial| -11 (-5 *2 (-82)) (-5 *3 (-1086 *6)) (-5 *4 (-751 *6))
- (-4 *6 (-12 (-1116) (-26 *5)))
- (-4 *5 (-12 (-392) (-951 (-485)) (-581 (-485)))) (-5 *1 (-177 *5 *6)))))
+ (|partial| AND (|isDomain| *2 (|Boolean|))
+ (|isDomain| *3 (|SparseUnivariatePolynomial| *6))
+ (|isDomain| *4 (|OrderedCompletion| *6))
+ (|ofCategory| *6
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *5)))
+ (|ofCategory| *5
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|DefiniteIntegrationTools| *5 *6)))))
(((*1 *2 *3 *4 *2 *2 *5)
- (|partial| -11 (-5 *2 (-751 *4)) (-5 *3 (-551 *4)) (-5 *5 (-82))
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- (-11 (-5 *3 (-1074)) (-4 *4 (-12 (-392) (-951 (-485)) (-581 (-485))))
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-(((*1 *1 *1) (-11 (-5 *1 (-47 *2 *3)) (-4 *2 (-962)) (-13 *3 (-584 (-1091)))))
+ (|partial| AND (|isDomain| *2 (|OrderedCompletion| *4))
+ (|isDomain| *3 (|Kernel| *4)) (|isDomain| *5 (|Boolean|))
+ (|ofCategory| *4
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *6)))
+ (|ofCategory| *6
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *1 (|DefiniteIntegrationTools| *6 *4)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *3 (|String|))
+ (|ofCategory| *4
+ (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|DefiniteIntegrationTools| *4 *5))
+ (|ofCategory| *5
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *4))))))
+(((*1 *1 *1)
+ (AND (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofCategory| *2 (|Ring|))
+ (|ofType| *3 (|List| (|Symbol|)))))
((*1 *1 *1)
- (-11 (-5 *1 (-176 *2 *3)) (-4 *2 (-12 (-962) (-757)))
- (-13 *3 (-584 (-1091))))))
+ (AND (|isDomain| *1 (|DeRhamComplex| *2 *3))
+ (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|)))
+ (|ofType| *3 (|List| (|Symbol|))))))
(((*1 *2 *1)
- (-11 (-5 *2 (-82)) (-5 *1 (-47 *3 *4)) (-4 *3 (-962))
- (-13 *4 (-584 (-1091)))))
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AntiSymm| *3 *4))
+ (|ofCategory| *3 (|Ring|)) (|ofType| *4 (|List| (|Symbol|)))))
((*1 *2 *1)
- (-11 (-5 *2 (-82)) (-5 *1 (-176 *3 *4)) (-4 *3 (-12 (-962) (-757)))
- (-13 *4 (-584 (-1091))))))
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DeRhamComplex| *3 *4))
+ (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|)))
+ (|ofType| *4 (|List| (|Symbol|))))))
(((*1 *1 *2)
- (-11 (-5 *2 (-264 *3)) (-4 *3 (-12 (-962) (-757))) (-5 *1 (-176 *3 *4))
- (-13 *4 (-584 (-1091))))))
+ (AND (|isDomain| *2 (|Expression| *3))
+ (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|)))
+ (|isDomain| *1 (|DeRhamComplex| *3 *4))
+ (|ofType| *4 (|List| (|Symbol|))))))
(((*1 *1 *1)
- (-11 (-5 *1 (-176 *2 *3)) (-4 *2 (-12 (-962) (-757)))
- (-13 *3 (-584 (-1091))))))
+ (AND (|isDomain| *1 (|DeRhamComplex| *2 *3))
+ (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|)))
+ (|ofType| *3 (|List| (|Symbol|))))))
(((*1 *2 *3 *4 *5 *5 *6)
- (-11 (-5 *4 (-1091)) (-5 *6 (-82))
- (-4 *7 (-12 (-257) (-117) (-951 (-485)) (-581 (-485))))
- (-4 *3 (-12 (-1116) (-872) (-26 *7)))
- (-5 *2
- (-3 (|:| |f1| (-751 *3)) (|:| |f2| (-584 (-751 *3))) (|:| |fail| "failed")
- (|:| |pole| "potentialPole")))
- (-5 *1 (-172 *7 *3)) (-5 *5 (-751 *3)))))
-(((*1 *1 *2) (-11 (-5 *2 (-349 (-485))) (-5 *1 (-170)))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-298)) (-5 *2 (-82)) (-5 *1 (-169 *4 *3)) (-4 *3 (-1156 *4)))))
+ (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *6 (|Boolean|))
+ (|ofCategory| *7
+ (|Join| (|EuclideanDomain|) (|CharacteristicZero|)
+ (|RetractableTo| (|Integer|))
+ (|LinearlyExplicitRingOver| (|Integer|))))
+ (|ofCategory| *3
+ (|Join| (|TranscendentalFunctionCategory|)
+ (|PrimitiveFunctionCategory|)
+ (|AlgebraicallyClosedFunctionSpace| *7)))
+ (|isDomain| *2
+ (|Union| (|:| |f1| #1=(|OrderedCompletion| *3)) (|:| |f2| (|List| #1#))
+ (|:| |fail| "failed") (|:| |pole| "potentialPole")))
+ (|isDomain| *1 (|ElementaryFunctionDefiniteIntegration| *7 *3))
+ (|isDomain| *5 (|OrderedCompletion| *3)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|DecimalExpansion|)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|DistinctDegreeFactorize| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
(((*1 *2 *2 *3 *2)
- (-11 (-5 *3 (-695)) (-4 *4 (-298)) (-5 *1 (-169 *4 *2)) (-4 *2 (-1156 *4)))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *1 (|DistinctDegreeFactorize| *4 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))))
(((*1 *2 *2 *3 *2)
- (-11 (-5 *3 (-695)) (-4 *4 (-298)) (-5 *1 (-169 *4 *2)) (-4 *2 (-1156 *4)))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-298)) (-5 *2 (-584 (-2 (|:| |deg| (-695)) (|:| -2578 *3))))
- (-5 *1 (-169 *4 *3)) (-4 *3 (-1156 *4)))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *1 (|DistinctDegreeFactorize| *4 *2))
+ (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|FiniteFieldCategory|))
+ (|isDomain| *2
+ (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| *3))))
+ (|isDomain| *1 (|DistinctDegreeFactorize| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))))
(((*1 *2 *3 *4)
- (-11 (-5 *4 (-82)) (-4 *5 (-298))
- (-5 *2
- (-2 (|:| |cont| *5)
- (|:| -1784 (-584 (-2 (|:| |irr| *3) (|:| -2397 (-485)))))))
- (-5 *1 (-169 *5 *3)) (-4 *3 (-1156 *5)))))
+ (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 *3 *4)
- (-11 (-5 *4 (-1 *2 *2)) (-4 *5 (-311)) (-4 *6 (-1156 (-349 *2)))
- (-4 *2 (-1156 *5)) (-5 *1 (-168 *5 *2 *6 *3)) (-4 *3 (-290 *5 *2 *6)))))
+ (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 *1 *3 *2)
- (-11 (-5 *3 (-695)) (-5 *1 (-165 *4 *2)) (-13 *4 (-831)) (-4 *2 (-1014)))))
-(((*1 *2 *3) (-11 (-5 *2 (-347 (-1086 (-485)))) (-5 *1 (-164)) (-5 *3 (-485)))))
-(((*1 *2 *3) (-11 (-5 *2 (-584 (-1086 (-485)))) (-5 *1 (-164)) (-5 *3 (-485)))))
+ (AND (|isDomain| *3 (|NonNegativeInteger|))
+ (|isDomain| *1 (|DataArray| *4 *2)) (|ofType| *4 (|PositiveInteger|))
+ (|ofCategory| *2 (|SetCategory|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|Integer|))))
+ (|isDomain| *1 (|CyclotomicPolynomialPackage|))
+ (|isDomain| *3 (|Integer|)))))
+(((*1 *2 *3)
+ (AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| (|Integer|))))
+ (|isDomain| *1 (|CyclotomicPolynomialPackage|))
+ (|isDomain| *3 (|Integer|)))))
(((*1 *2 *3 *3)
- (-11 (-5 *3 (-584 (-485))) (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
+ (AND (|isDomain| *3 (|List| (|Integer|)))
+ (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|CycleIndicators|)))))
(((*1 *2 *3)
- (-11 (-5 *3 (-584 (-831))) (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
-(((*1 *2 *2 *2) (-11 (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
-(((*1 *2 *2 *2) (-11 (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
+ (AND (|isDomain| *3 (|List| (|PositiveInteger|)))
+ (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|CycleIndicators|)))))
+(((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|CycleIndicators|)))))
+(((*1 *2 *2 *2)
+ (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|CycleIndicators|)))))
(((*1 *2 *3 *3)
- (-11 (-5 *3 (-1093 (-349 (-485)))) (-5 *2 (-349 (-485))) (-5 *1 (-163)))))
-(((*1 *2 *3) (-11 (-5 *3 (-831)) (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
-(((*1 *2 *3) (-11 (-5 *3 (-831)) (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
-(((*1 *2 *3) (-11 (-5 *3 (-695)) (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
-(((*1 *2 *3) (-11 (-5 *3 (-695)) (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
-(((*1 *2 *3) (-11 (-5 *3 (-831)) (-5 *2 (-1093 (-349 (-485)))) (-5 *1 (-163)))))
-(((*1 *2 *3)
- (-11 (-5 *3 (-1180 (-631 *4))) (-4 *4 (-145))
- (-5 *2 (-1180 (-631 (-858 *4)))) (-5 *1 (-162 *4)))))
-(((*1 *1) (-5 *1 (-160))))
-(((*1 *1) (-5 *1 (-160))))
-(((*1 *1) (-5 *1 (-160))))
-(((*1 *2 *1) (-11 (-5 *2 (-160)) (-5 *1 (-108))))
- ((*1 *2 *1) (-11 (-4 *1 (-159)) (-5 *2 (-160)))))
-(((*1 *2 *1) (-11 (-4 *1 (-159)) (-5 *2 (-584 (-82))))))
-(((*1 *2 *1) (-11 (-4 *1 (-159)) (-5 *2 (-584 (-775))))))
-(((*1 *2 *1) (-11 (-5 *2 (-584 (-1096))) (-5 *1 (-157 *3)) (-4 *3 (-159)))))
-(((*1 *2 *3) (-11 (-5 *3 (-447)) (-5 *2 (-633 (-156))) (-5 *1 (-156)))))
-(((*1 *2 *2 *2) (-11 (-4 *3 (-1130)) (-5 *1 (-155 *3 *2)) (-4 *2 (-617 *3)))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-1130)) (-5 *2 (-695)) (-5 *1 (-155 *4 *3)) (-4 *3 (-617 *4)))))
-(((*1 *2 *2)
- (|partial| -11 (-4 *3 (-1130)) (-5 *1 (-155 *3 *2)) (-4 *2 (-617 *3)))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-12 (-311) (-756)))
- (-5 *2 (-2 (|:| |start| *3) (|:| -1784 (-347 *3)))) (-5 *1 (-154 *4 *3))
- (-4 *3 (-1156 (-141 *4))))))
-(((*1 *2 *2)
- (-11 (-4 *2 (-12 (-311) (-756))) (-5 *1 (-154 *2 *3))
- (-4 *3 (-1156 (-141 *2))))))
-(((*1 *2 *3)
- (-11 (-5 *2 (-141 *4)) (-5 *1 (-154 *4 *3)) (-4 *4 (-12 (-311) (-756)))
- (-4 *3 (-1156 *2)))))
+ (AND (|isDomain| *3 (|SymmetricPolynomial| (|Fraction| (|Integer|))))
+ (|isDomain| *2 (|Fraction| (|Integer|)))
+ (|isDomain| *1 (|CycleIndicators|)))))
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+ (AND (|isDomain| *3 (|Vector| (|Matrix| *4)))
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(((*1 *2 *3 *2)
- (-11 (-4 *2 (-12 (-311) (-756))) (-5 *1 (-154 *2 *3))
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((*1 *2 *3)
- (-11 (-4 *2 (-12 (-311) (-756))) (-5 *1 (-154 *2 *3))
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(((*1 *2 *2)
- (-11 (-4 *3 (-12 (-311) (-756))) (-5 *1 (-154 *3 *2))
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(((*1 *2 *3 *4 *5)
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- (-11 (-4 *4 (-12 (-311) (-756))) (-5 *2 (-347 *3)) (-5 *1 (-154 *4 *3))
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(((*1 *2 *2)
- (-11 (-4 *3 (-12 (-311) (-756))) (-5 *1 (-154 *3 *2))
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(((*1 *2 *3 *3 *4)
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((*1 *2 *3 *3)
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(((*1 *2 *3 *4)
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+ (|UnivariatePolynomialCategory| (|Complex| (|Integer|))))
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((*1 *2 *3)
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(((*1 *2 *3 *3)
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+ (AND (|isDomain| *3 (|SpadAst|)) (|isDomain| *2 (|Maybe| (|Elaboration|)))
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+ (AND (|isDomain| *3 (|String|))
+ (|isDomain| *2 (|List| (|Maybe| (|Elaboration|))))
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+ (AND (|ofCategory| *1 (|ComplexCategory| *2))
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((*1 *2 *2 *3)
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- ((*1 *1 *1 *2) (-11 (-4 *1 (-130)) (-5 *2 (-1091))))
- ((*1 *1 *1) (-4 *1 (-130))))
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+ ((*1 *1 *1 *2)
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+ (|isDomain| *1 (|BinarySearchTree| *3)))))
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+ (|ofCategory| *2 (|OrderedSet|)))))
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+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|BrillhartTests| *3))
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+ ((*1 *2 *2)
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+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BrillhartTests| *3))
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+ ((*1 *2 *3 *2)
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+ (|ofCategory| *2 (|Type|)))))
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+ (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *3)
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+ (|isDomain| *3 (|List| (|Mapping| *4 (|List| *4))))
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- (-4 *4 (-628 *2 *5 *6)))))
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+ (|ofCategory| *4 (|SetCategory|))
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+ (|partial| AND (|isDomain| *3 (|BasicOperator|))
+ (|isDomain| *2 (|List| (|Mapping| *4 (|List| *4))))
+ (|isDomain| *1 (|BasicOperatorFunctions1| *4))
+ (|ofCategory| *4 (|SetCategory|)))))
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+ (AND (|isDomain| *2 (|List| (|Property|))) (|isDomain| *1 (|Binding|))))
+ ((*1 *2 *1)
+ (AND (|isDomain| *2 (|AssociationList| (|String|) (|None|)))
+ (|isDomain| *1 (|BasicOperator|)))))
+(((*1 *2 *1)
+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|)))))
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+ (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|)))))
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+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) #1=(|BasicOperator|) #1#))
+ (|isDomain| *1 (|BasicOperator|)))))
+(((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Mapping| (|Boolean|) #1=(|BasicOperator|) #1#))
+ (|isDomain| *1 (|BasicOperator|)))))
+(((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Identifier|)) (|isDomain| *2 (|Boolean|))
+ (|isDomain| *1 (|BasicOperator|)))))
+(((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Identifier|)) (|isDomain| *1 (|BasicOperator|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|BasicOperator|)))))
+(((*1 *1 *1 *2 *3)
+ (AND (|isDomain| *2 (|Identifier|)) (|isDomain| *3 (|None|))
+ (|isDomain| *1 (|BasicOperator|))))
+ ((*1 *1 *1 *2 *3)
+ (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|None|))
+ (|isDomain| *1 (|BasicOperator|)))))
+(((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|AssociationList| (|String|) (|None|)))
+ (|isDomain| *1 (|BasicOperator|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|Mapping| *3 *3 *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *1 (|BinaryOperation| *3)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|Identifier|)) (|isDomain| *3 (|List| (|Property|)))
+ (|isDomain| *1 (|Binding|)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|))
+ (|ofCategory| *1 (|BagAggregate| *3)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|BagAggregate| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *1)
+ (AND (|ofCategory| *1 (|BagAggregate| *2)) (|ofCategory| *2 (|Type|)))))
+(((*1 *2 *3)
+ (AND (|has| *2 (ATTRIBUTE (|commutative| "*")))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|Ring|))
+ (|isDomain| *1 (|BezoutMatrix| *2 *3 *4 *5 *6))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))
+ (|ofCategory| *4 (|MatrixCategory| *2 *5 *6)))))
(((*1 *2 *3 *3)
- (-11 (|has| *2 (-6 (-3997 "*"))) (-4 *5 (-323 *2)) (-4 *6 (-323 *2))
- (-4 *2 (-962)) (-5 *1 (-71 *2 *3 *4 *5 *6)) (-4 *3 (-1156 *2))
- (-4 *4 (-628 *2 *5 *6)))))
+ (AND (|has| *2 (ATTRIBUTE (|commutative| "*")))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *2))
+ (|ofCategory| *2 (|Ring|))
+ (|isDomain| *1 (|BezoutMatrix| *2 *3 *4 *5 *6))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))
+ (|ofCategory| *4 (|MatrixCategory| *2 *5 *6)))))
(((*1 *2 *3 *3)
- (-11 (-4 *4 (-962)) (-4 *2 (-628 *4 *5 *6)) (-5 *1 (-71 *4 *3 *2 *5 *6))
- (-4 *3 (-1156 *4)) (-4 *5 (-323 *4)) (-4 *6 (-323 *4)))))
+ (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))
+ (|isDomain| *1 (|BezoutMatrix| *4 *3 *2 *5 *6))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4)))))
(((*1 *2 *3 *3)
- (-11 (-4 *4 (-962)) (-4 *2 (-628 *4 *5 *6)) (-5 *1 (-71 *4 *3 *2 *5 *6))
- (-4 *3 (-1156 *4)) (-4 *5 (-323 *4)) (-4 *6 (-323 *4)))))
-(((*1 *1 *2 *3) (-11 (-5 *2 (-695)) (-5 *1 (-70 *3)) (-4 *3 (-1014)))))
-(((*1 *1 *1 *2) (-11 (-5 *2 (-584 *3)) (-4 *3 (-1014)) (-5 *1 (-70 *3)))))
+ (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))
+ (|isDomain| *1 (|BezoutMatrix| *4 *3 *2 *5 *6))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *6 (|FiniteLinearAggregate| *4)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|BalancedBinaryTree| *3))
+ (|ofCategory| *3 (|SetCategory|)))))
+(((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *1 (|BalancedBinaryTree| *3)))))
(((*1 *1 *1 *1 *2)
- (-11 (-5 *2 (-1 *3 *3 *3 *3 *3)) (-4 *3 (-1014)) (-5 *1 (-70 *3))))
- ((*1 *2 *1 *3) (-11 (-5 *3 (-1 *2 *2 *2)) (-5 *1 (-70 *2)) (-4 *2 (-1014)))))
+ (AND (|isDomain| *2 (|Mapping| *3 *3 *3 *3 *3))
+ (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *1 (|BalancedBinaryTree| *3))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Mapping| *2 *2 *2))
+ (|isDomain| *1 (|BalancedBinaryTree| *2))
+ (|ofCategory| *2 (|SetCategory|)))))
(((*1 *1 *1 *2 *3)
- (-11 (-5 *3 (-1 (-584 *2) *2 *2 *2)) (-4 *2 (-1014)) (-5 *1 (-70 *2))))
+ (AND (|isDomain| *3 (|Mapping| (|List| *2) *2 *2 *2))
+ (|ofCategory| *2 (|SetCategory|))
+ (|isDomain| *1 (|BalancedBinaryTree| *2))))
((*1 *1 *1 *2 *3)
- (-11 (-5 *3 (-1 *2 *2 *2)) (-4 *2 (-1014)) (-5 *1 (-70 *2)))))
-(((*1 *2 *1 *1) (-11 (-4 *1 (-69)) (-5 *2 (-82)))))
+ (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|ofCategory| *2 (|SetCategory|))
+ (|isDomain| *1 (|BalancedBinaryTree| *2)))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|BasicType|)) (|isDomain| *2 (|Boolean|)))))
(((*1 *2 *3 *3)
- (-11 (-4 *4 (-12 (-392) (-117))) (-5 *2 (-347 *3)) (-5 *1 (-67 *4 *3))
- (-4 *3 (-1156 *4))))
- ((*1 *2 *3 *4)
- (-11 (-5 *4 (-584 *3)) (-4 *3 (-1156 *5)) (-4 *5 (-12 (-392) (-117)))
- (-5 *2 (-347 *3)) (-5 *1 (-67 *5 *3)))))
-(((*1 *1 *2) (-11 (-5 *2 (-1 *3 *3 (-485))) (-4 *3 (-962)) (-5 *1 (-66 *3))))
- ((*1 *1 *2 *2) (-11 (-5 *2 (-1 *3 *3)) (-4 *3 (-962)) (-5 *1 (-66 *3))))
- ((*1 *1 *2) (-11 (-5 *2 (-1 *3 *3)) (-4 *3 (-962)) (-5 *1 (-66 *3)))))
-(((*1 *1 *2) (-11 (-5 *2 (-584 *3)) (-4 *3 (-1014)) (-5 *1 (-59 *3)))))
-(((*1 *2 *3 *4)
- (-11 (-4 *5 (-311)) (-4 *5 (-496))
- (-5 *2
- (-2 (|:| |minor| (-584 (-831))) (|:| -3269 *3)
- (|:| |minors| (-584 (-584 (-831)))) (|:| |ops| (-584 *3))))
- (-5 *1 (-58 *5 *3)) (-5 *4 (-831)) (-4 *3 (-601 *5)))))
-(((*1 *2 *3)
- (-11 (-4 *4 (-496)) (-5 *2 (-1180 (-631 *4))) (-5 *1 (-58 *4 *5))
- (-5 *3 (-631 *4)) (-4 *5 (-601 *4)))))
-(((*1 *2 *3 *4)
- (-11 (-4 *5 (-496))
- (-5 *2 (-2 (|:| |mat| (-631 *5)) (|:| |vec| (-1180 (-584 (-831))))))
- (-5 *1 (-58 *5 *3)) (-5 *4 (-831)) (-4 *3 (-601 *5)))))
-(((*1 *1 *2 *3) (-11 (-5 *2 (-695)) (-5 *1 (-55 *3)) (-4 *3 (-1130))))
- ((*1 *1 *2) (-11 (-5 *2 (-584 *3)) (-4 *3 (-1130)) (-5 *1 (-55 *3)))))
+ (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|CharacteristicZero|)))
+ (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|BalancedFactorisation| *4 *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))
+ ((*1 *2 *3 *4)
+ (AND (|isDomain| *4 (|List| *3))
+ (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))
+ (|ofCategory| *5 (|Join| (|GcdDomain|) (|CharacteristicZero|)))
+ (|isDomain| *2 (|Factored| *3))
+ (|isDomain| *1 (|BalancedFactorisation| *5 *3)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|Mapping| *3 *3 (|Integer|))) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|Automorphism| *3))))
+ ((*1 *1 *2 *2)
+ (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|Automorphism| *3))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|))
+ (|isDomain| *1 (|Automorphism| *3)))))
+(((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|))
+ (|isDomain| *1 (|ArrayStack| *3)))))
+(((*1 *2 *3 *4)
+ (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2
+ (|Record| (|:| |minor| (|List| #1=(|PositiveInteger|))) (|:| |eq| *3)
+ (|:| |minors| (|List| (|List| #1#)))
+ (|:| |ops| (|List| *3))))
+ (|isDomain| *1 (|AssociatedEquations| *5 *3))
+ (|isDomain| *4 (|PositiveInteger|))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5)))))
+(((*1 *2 *3)
+ (AND (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|Vector| (|Matrix| *4)))
+ (|isDomain| *1 (|AssociatedEquations| *4 *5))
+ (|isDomain| *3 (|Matrix| *4))
+ (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| *4)))))
+(((*1 *2 *3 *4)
+ (AND (|ofCategory| *5 (|IntegralDomain|))
+ (|isDomain| *2
+ (|Record| (|:| |mat| (|Matrix| *5))
+ (|:| |vec| (|Vector| (|List| (|PositiveInteger|))))))
+ (|isDomain| *1 (|AssociatedEquations| *5 *3))
+ (|isDomain| *4 (|PositiveInteger|))
+ (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|NonNegativeInteger|))
+ (|isDomain| *1 (|OneDimensionalArray| *3)) (|ofCategory| *3 (|Type|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|))
+ (|isDomain| *1 (|OneDimensionalArray| *3)))))
(((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-485)) (-4 *1 (-54 *4 *3 *5)) (-4 *4 (-1130)) (-4 *3 (-323 *4))
- (-4 *5 (-323 *4)))))
+ (AND (|isDomain| *2 (|Integer|))
+ (|ofCategory| *1 (|TwoDimensionalArrayCategory| *4 *3 *5))
+ (|ofCategory| *4 (|Type|))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4)))))
(((*1 *1 *1 *2 *3)
- (-11 (-5 *2 (-485)) (-4 *1 (-54 *4 *5 *3)) (-4 *4 (-1130)) (-4 *5 (-323 *4))
- (-4 *3 (-323 *4)))))
-(((*1 *1) (-5 *1 (-52))))
+ (AND (|isDomain| *2 (|Integer|))
+ (|ofCategory| *1 (|TwoDimensionalArrayCategory| *4 *5 *3))
+ (|ofCategory| *4 (|Type|))
+ (|ofCategory| *5 (|FiniteLinearAggregate| *4))
+ (|ofCategory| *3 (|FiniteLinearAggregate| *4)))))
+(((*1 *1) (|isDomain| *1 (|Arity|))))
(((*1 *2 *2 *3)
- (-11 (-5 *3 (-584 (-1091))) (-4 *4 (-1014))
- (-4 *5 (-12 (-962) (-797 *4) (-554 (-801 *4)))) (-5 *1 (-51 *4 *5 *2))
- (-4 *2 (-12 (-363 *5) (-797 *4) (-554 (-801 *4)))))))
+ (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|SetCategory|))
+ (|ofCategory| *5
+ (|Join| (|Ring|) (|PatternMatchable| *4)
+ (|ConvertibleTo| (|Pattern| *4))))
+ (|isDomain| *1 (|ApplyRules| *4 *5 *2))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4)
+ (|ConvertibleTo| (|Pattern| *4)))))))
(((*1 *2 *3 *2)
- (-11 (-5 *3 (-584 (-988 *4 *5 *2))) (-4 *4 (-1014))
- (-4 *5 (-12 (-962) (-797 *4) (-554 (-801 *4))))
- (-4 *2 (-12 (-363 *5) (-797 *4) (-554 (-801 *4)))) (-5 *1 (-51 *4 *5 *2))))
+ (AND (|isDomain| *3 (|List| (|RewriteRule| *4 *5 *2)))
+ (|ofCategory| *4 (|SetCategory|))
+ (|ofCategory| *5
+ (|Join| (|Ring|) (|PatternMatchable| *4)
+ (|ConvertibleTo| (|Pattern| *4))))
+ (|ofCategory| *2
+ (|Join| (|FunctionSpace| *5) (|PatternMatchable| *4)
+ (|ConvertibleTo| (|Pattern| *4))))
+ (|isDomain| *1 (|ApplyRules| *4 *5 *2))))
((*1 *2 *3 *2 *4)
- (-11 (-5 *3 (-584 (-988 *5 *6 *2))) (-5 *4 (-831)) (-4 *5 (-1014))
- (-4 *6 (-12 (-962) (-797 *5) (-554 (-801 *5))))
- (-4 *2 (-12 (-363 *6) (-797 *5) (-554 (-801 *5)))) (-5 *1 (-51 *5 *6 *2)))))
-(((*1 *1 *2 *3) (-11 (-5 *2 (-1016)) (-5 *3 (-697)) (-5 *1 (-48)))))
-(((*1 *2 *1) (-11 (-5 *2 (-1016)) (-5 *1 (-48)))))
-(((*1 *2 *1) (-11 (-5 *2 (-697)) (-5 *1 (-48)))))
+ (AND (|isDomain| *3 (|List| (|RewriteRule| *5 *6 *2)))
+ (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|SetCategory|))
+ (|ofCategory| *6
+ (|Join| (|Ring|) (|PatternMatchable| *5)
+ (|ConvertibleTo| (|Pattern| *5))))
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- (-3976 . 306) (-3977 . 173) (-3978 . 30)) \ No newline at end of file
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+ (|isDomain| *4 (|Segment| (|Fraction| (|Integer|))))
+ (|isDomain| *1 (|PlaneAlgebraicCurvePlot|)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1))
+ (|isDomain| *4 (|Symbol|))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))
+ (|isDomain| *2 (|List| *1))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))
+ (|isDomain| *2 (|List| *1))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Polynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))
+ (|isDomain| *2 (|List| *1))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3)))))
+(((*1 *1 *2 *3)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|isDomain| *3 (|Symbol|))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))))
+ ((*1 *1 *2)
+ (AND (|isDomain| *2 (|Polynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))))
+ ((*1 *1 *1 *2)
+ (AND (|isDomain| *2 (|Symbol|))
+ (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3))
+ (|ofCategory| *3 (|IntegralDomain|))))
+ ((*1 *1 *1)
+ (AND (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *2))
+ (|ofCategory| *2 (|IntegralDomain|)))))
+(((*1 *2 *3 *4)
+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1))
+ (|isDomain| *4 (|Symbol|))
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+ (|isDomain| *2 (|List| *1))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))
+ (|isDomain| *2 (|List| *1))))
+ ((*1 *2 *3)
+ (AND (|isDomain| *3 (|Polynomial| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedField|))
+ (|isDomain| *2 (|List| *1))))
+ ((*1 *2 *1 *3)
+ (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|IntegralDomain|))
+ (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *4))))
+ ((*1 *2 *1)
+ (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *1))
+ (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3)))))
+(((*1 *2 *1 *1)
+ (AND (|ofCategory| *1 (|AbelianMonoid|)) (|isDomain| *2 (|Boolean|)))))
+((|opposite?| . 1293577) (|zerosOf| . 1292730) (|zeroOf| . 1292044)
+ (|rootsOf| . 1291197) (|makeSketch| . 1290980) (|inrootof| . 1290762)
+ (|droot| . 1290545) (|iroot| . 1290310) (|eq?| . 1290223) (|assoc| . 1289992)
+ (|doublyTransitive?| . 1289829) (|knownInfBasis| . 1289485)
+ (|rootSplit| . 1288478) (|ratDenom| . 1284366) (|ratPoly| . 1283302)
+ (|rootPower| . 1282171) (|rootProduct| . 1281040) (|rootSimp| . 1279909)
+ (|rootKerSimp| . 1278692) (|leftRank| . 1278477) (|rightRank| . 1278262)
+ (|doubleRank| . 1278047) (|weakBiRank| . 1277832) (|biRank| . 1277617)
+ (|basisOfCommutingElements| . 1277423) (|basisOfLeftAnnihilator| . 1277226)
+ (|basisOfRightAnnihilator| . 1277029) (|basisOfLeftNucleus| . 1276835)
+ (|basisOfRightNucleus| . 1276641) (|basisOfMiddleNucleus| . 1276447)
+ (|basisOfNucleus| . 1276253) (|basisOfCenter| . 1276059)
+ (|basisOfLeftNucloid| . 1275847) (|basisOfRightNucloid| . 1275635)
+ (|basisOfCentroid| . 1275423) (|radicalOfLeftTraceForm| . 1275229)
+ (|obj| . 1275158) (|dom| . 1275080) (|any| . 1274965) (|applyRules| . 1273974)
+ (|localUnquote| . 1273518) (|arbitrary| . 1273479) (|setColumn!| . 1273213)
+ (|setRow!| . 1272947) (|oneDimensionalArray| . 1272677)
+ (|associatedSystem| . 1272304) (|uncouplingMatrices| . 1272030)
+ (|associatedEquations| . 1271568) (|arrayStack| . 1271441)
+ (|morphism| . 1271046) (|balancedFactorisation| . 1270521)
+ (|before?| . 1270434) (|mapDown!| . 1270117) (|mapUp!| . 1269802)
+ (|setleaves!| . 1269664) (|balancedBinaryTree| . 1269508)
+ (|sylvesterMatrix| . 1269184) (|bezoutMatrix| . 1268860)
+ (|bezoutResultant| . 1268479) (|bezoutDiscriminant| . 1268101)
+ (|inspect| . 1268012) (|extract!| . 1267923) (|bag| . 1267799)
+ (|binding| . 1267668) (|binaryOperation| . 1267534)
+ (|setProperties| . 1267410) (|setProperty| . 1267162)
+ (|deleteProperty!| . 1266984) (|has?| . 1266857) (|comparison| . 1266724)
+ (|equality| . 1266591) (|nary?| . 1266505) (|unary?| . 1266419)
+ (|nullary?| . 1266333) (|properties| . 1266124) (|derivative| . 1265513)
+ (|constantOperator| . 1265360) (|constantOpIfCan| . 1265205)
+ (|integerBound| . 1264970) (|setright!| . 1264801) (|setleft!| . 1264632)
+ (|brillhartIrreducible?| . 1264311) (|brillhartTrials| . 1263960)
+ (|noLinearFactor?| . 1263800) (|insertRoot!| . 1263693)
+ (|binarySearchTree| . 1263561) (|nor| . 1263462) (|nand| . 1263363)
+ (|node| . 1263248) (|binaryTournament| . 1263116) (|binaryTree| . 1262928)
+ (|byte| . 1262840) (|setLength!| . 1262743) (|capacity| . 1262649)
+ (|byteBuffer| . 1262555) (|unknownEndian| . 1262512) (|bigEndian| . 1262469)
+ (|littleEndian| . 1262426) (|subtractIfCan| . 1262349)
+ (|setPosition| . 1262217) (|generalizedContinuumHypothesisAssumed| . 1262130)
+ (|generalizedContinuumHypothesisAssumed?| . 1262048) (|countable?| . 1261961)
+ (|Aleph| . 1261856) (|unravel| . 1261644) (|ravel| . 1261432)
+ (|leviCivitaSymbol| . 1261251) (|kroneckerDelta| . 1261070)
+ (|reindex| . 1260839) (|parents| . 1260710) (|principalAncestors| . 1260581)
+ (|exportedOperators| . 1260474) (|alphanumeric| . 1260426)
+ (|alphabetic| . 1260378) (|hexDigit| . 1260330) (|digit| . 1260282)
+ (|charClass| . 1260093) (|alphanumeric?| . 1260013) (|lowerCase?| . 1259933)
+ (|upperCase?| . 1259853) (|alphabetic?| . 1259773) (|hexDigit?| . 1259693)
+ (|digit?| . 1259613) (|escape| . 1259570) (|verticalTab| . 1259527)
+ (|horizontalTab| . 1259484) (|backspace| . 1259441) (|formfeed| . 1259398)
+ (|linefeed| . 1259355) (|carriageReturn| . 1259312) (|newline| . 1259269)
+ (|underscore| . 1259226) (|char| . 1259056) (|ord| . 1258963)
+ (|mkIntegral| . 1258624) (|radPoly| . 1258250) (|rootPoly| . 1257779)
+ (|goodPoint| . 1257516) (|chvar| . 1257054) (|removeDuplicates| . 1256880)
+ (|e| . 1256678) (|clipParametric| . 1255979) (|clipWithRanges| . 1255618)
+ (|numberOfHues| . 1255537) (|yellow| . 1255498) (|iifact| . 1255336)
+ (|iibinom| . 1255146) (|iiperm| . 1254956) (|iipow| . 1254766)
+ (|iidsum| . 1254576) (|iidprod| . 1254386) (|ipow| . 1254196)
+ (|factorial| . 1253845) (|multinomial| . 1253689) (|permutation| . 1253329)
+ (|stirling1| . 1253201) (|stirling2| . 1253073) (|summation| . 1252450)
+ (|factorials| . 1251931) (|mkcomm| . 1251802)
+ (|commutativeOperation| . 1251658) (|polarCoordinates| . 1251380)
+ (|complex| . 1251267) (|imaginary| . 1251160) (|elaborateFile| . 1251008)
+ (|elaborate| . 1250871) (|macroExpand| . 1250741) (|solid| . 1250633)
+ (|solid?| . 1250528) (|denominators| . 1250388) (|numerators| . 1250248)
+ (|convergents| . 1250088) (|approximants| . 1249928) (|reducedForm| . 1249818)
+ (|partialQuotients| . 1249678) (|partialDenominators| . 1249538)
+ (|partialNumerators| . 1249398) (|reducedContinuedFraction| . 1249255)
+ (|push| . 1249174) (|bindings| . 1249085) (|cartesian| . 1248835)
+ (|polar| . 1248585) (|cylindrical| . 1248335) (|spherical| . 1248085)
+ (|parabolic| . 1247835) (|parabolicCylindrical| . 1247585)
+ (|paraboloidal| . 1247335) (|ellipticCylindrical| . 1247060)
+ (|prolateSpheroidal| . 1246785) (|oblateSpheroidal| . 1246510)
+ (|bipolar| . 1246235) (|bipolarCylindrical| . 1245960) (|toroidal| . 1245685)
+ (|conical| . 1245407) (|modTree| . 1245273) (|multiEuclideanTree| . 1245139)
+ (|complexZeros| . 1244346) (|divisorCascade| . 1243694) (|graeffe| . 1243485)
+ (|pleskenSplit| . 1242947) (|reciprocalPolynomial| . 1242738)
+ (|rootRadius| . 1242319) (|schwerpunkt| . 1242084) (|setErrorBound| . 1241875)
+ (|startPolynomial| . 1241575) (|cycleElt| . 1241419)
+ (|computeCycleLength| . 1241226) (|computeCycleEntry| . 1241076)
+ (|findConstructor| . 1240940) (|arguments| . 1240785) (|operations| . 1240671)
+ (|dualSignature| . 1240561) (|kind| . 1240362) (|package| . 1240313)
+ (|domain| . 1240264) (|category| . 1240215) (|coerceP| . 1239986)
+ (|powerSum| . 1239811) (|elementary| . 1239633) (|alternating| . 1239455)
+ (|cyclic| . 1239280) (|dihedral| . 1239105) (|cap| . 1238922)
+ (|cup| . 1238787) (|wreath| . 1238652) (|SFunction| . 1238468)
+ (|skewSFunction| . 1238289) (|cyclotomicDecomposition| . 1238107)
+ (|cyclotomicFactorization| . 1237921) (|qsetelt| . 1237734)
+ (|doubleResultant| . 1237388) (|distdfact| . 1236975)
+ (|separateDegrees| . 1236689) (|trace2PowMod| . 1236453)
+ (|tracePowMod| . 1236217) (|irreducible?| . 1236005) (|decimal| . 1235896)
+ (|innerint| . 1235069) (|exteriorDifferential| . 1234906)
+ (|totalDifferential| . 1234702) (|homogeneous?| . 1234358)
+ (|leadingBasisTerm| . 1234070) (|ignore?| . 1233598) (|computeInt| . 1233092)
+ (|checkForZero| . 1232031) (|nan?| . 1231949) (|logGamma| . 1231717)
+ (|hypergeometric0F1| . 1231479) (|rotatez| . 1231308) (|rotatey| . 1231137)
+ (|rotatex| . 1230966) (|identity| . 1230798) (|dictionary| . 1230553)
+ (|dioSolve| . 1230118) (|directProduct| . 1229980) (|newLine| . 1229899)
+ (|copies| . 1229775) (|say| . 1229532) (|sayLength| . 1229283)
+ (|setnext!| . 1229117) (|setprevious!| . 1228951) (|next| . 1228846)
+ (|previous| . 1228741) (|datalist| . 1228617)
+ (|shanksDiscLogAlgorithm| . 1228311) (|showSummary| . 1228237)
+ (|reflect| . 1228121) (|reify| . 1228005) (|constructor| . 1227715)
+ (|functorData| . 1227621) (|separant| . 1227351) (|initial| . 1227081)
+ (|leader| . 1226811) (|isobaric?| . 1226506) (|weights| . 1225855)
+ (|differentialVariables| . 1225550) (|extractBottom!| . 1225457)
+ (|extractTop!| . 1225364) (|insertBottom!| . 1225268) (|insertTop!| . 1225172)
+ (|bottom!| . 1225079) (|top!| . 1224986) (|dequeue| . 1224648)
+ (|makeObject| . 1219580) (|recolor| . 1219281) (|drawComplex| . 1218999)
+ (|drawComplexVectorField| . 1218748) (|setRealSteps| . 1218666)
+ (|setImagSteps| . 1218584) (|setClipValue| . 1218496) (|draw| . 1209296)
+ (|option?| . 1209136) (|range| . 1208905) (|colorFunction| . 1208478)
+ (|curveColor| . 1208320) (|pointColor| . 1208162) (|clip| . 1206600)
+ (|clipBoolean| . 1206457) (|style| . 1206237) (|toScale| . 1206015)
+ (|pointColorPalette| . 1205872) (|curveColorPalette| . 1205729)
+ (|var1Steps| . 1205482) (|var2Steps| . 1205235) (|space| . 1204921)
+ (|tubePoints| . 1204674) (|tubeRadius| . 1204456) (|option| . 1204112)
+ (|weight| . 1203110) (|makeVariable| . 1202239) (|Nul| . 1202144)
+ (|exponents| . 1202051) (|iisqrt2| . 1201866) (|iisqrt3| . 1201681)
+ (|iiexp| . 1201493) (|iilog| . 1201305) (|iisin| . 1201117)
+ (|iicos| . 1200929) (|iitan| . 1200741) (|iicot| . 1200553)
+ (|iisec| . 1200365) (|iicsc| . 1200177) (|iiasin| . 1199989)
+ (|iiacos| . 1199801) (|iiatan| . 1199613) (|iiacot| . 1199425)
+ (|iiasec| . 1199237) (|iiacsc| . 1199049) (|iisinh| . 1198861)
+ (|iicosh| . 1198673) (|iitanh| . 1198485) (|iicoth| . 1198297)
+ (|iisech| . 1198109) (|iicsch| . 1197921) (|iiasinh| . 1197733)
+ (|iiacosh| . 1197545) (|iiatanh| . 1197357) (|iiacoth| . 1197169)
+ (|iiasech| . 1196981) (|iiacsch| . 1196793) (|specialTrigs| . 1196517)
+ (|localReal?| . 1196301) (|rischNormalize| . 1195670)
+ (|realElementary| . 1194746) (|validExponential| . 1194229)
+ (|rootNormalize| . 1193732) (|tanQ| . 1193224) (|callForm?| . 1193131)
+ (|getIdentifier| . 1193022) (|variable?| . 1192929) (|getConstant| . 1192819)
+ (|type| . 1192727) (|environment| . 1192639) (|typeForm| . 1192546)
+ (|irForm| . 1192436) (|elaboration| . 1192244) (|select!| . 1191872)
+ (|delete!| . 1191559) (|sn| . 1191368) (|cn| . 1191177) (|dn| . 1190986)
+ (|sncndn| . 1190719) (|qsetelt!| . 1190253) (|categoryFrame| . 1190208)
+ (|interactiveEnv| . 1190163) (|currentEnv| . 1190118)
+ (|putProperties| . 1189980) (|getProperties| . 1189845)
+ (|putProperty| . 1189710) (|getProperty| . 1189568) (|scopes| . 1189477)
+ (|eigenvalues| . 1189163) (|eigenvector| . 1188812)
+ (|generalizedEigenvector| . 1187949) (|generalizedEigenvectors| . 1187484)
+ (|eigenvectors| . 1186988) (|factorAndSplit| . 1186820) (|rightOne| . 1186695)
+ (|leftOne| . 1186570) (|rightZero| . 1186445) (|leftZero| . 1186320)
+ (|swap| . 1185996) (|error| . 1185479) (|minPoly| . 1184998)
+ (|freeOf?| . 1184780) (|operators| . 1184668) (|tower| . 1184560)
+ (|kernels| . 1184452) (|mainKernel| . 1184347) (|distribute| . 1184238)
+ (|subst| . 1183761) (|multiEuclidean| . 1183655)
+ (|extendedEuclidean| . 1183358) (|euclideanSize| . 1183250)
+ (|sizeLess?| . 1183157) (|simplifyPower| . 1182990) (|number?| . 1182826)
+ (|seriesSolve| . 1178827) (|constantToUnaryFunction| . 1178674)
+ (|tubePlot| . 1177295) (|exponentialOrder| . 1177080)
+ (|completeEval| . 1176645) (|lowerPolynomial| . 1176279)
+ (|raisePolynomial| . 1175913) (|normalDeriv| . 1175566) (|ran| . 1175279)
+ (|highCommonTerms| . 1175052) (|mapCoef| . 1174834) (|nthCoef| . 1174622)
+ (|binomThmExpt| . 1174372) (|pomopo!| . 1174210) (|mapExponents| . 1174013)
+ (|linearAssociatedLog| . 1173610) (|linearAssociatedOrder| . 1173410)
+ (|linearAssociatedExp| . 1173200) (|createNormalElement| . 1173060)
+ (|sin?| . 1172928) (|lookupFunction| . 1172841)
+ (|encodingDirectory| . 1172720) (|attributeData| . 1172589)
+ (|domainTemplate| . 1172498) (|lSpaceBasis| . 1172161)
+ (|finiteBasis| . 1171824) (|principal?| . 1171479) (|divisor| . 1169820)
+ (|rationalPoints| . 1169115) (|nonSingularModel| . 1168325)
+ (|algSplitSimple| . 1167890) (|hyperelliptic| . 1167310)
+ (|elliptic| . 1166457) (|integralDerivationMatrix| . 1166074)
+ (|integralRepresents| . 1165767) (|integralCoordinates| . 1165425)
+ (|yCoordinates| . 1165083) (|inverseIntegralMatrixAtInfinity| . 1164769)
+ (|integralMatrixAtInfinity| . 1164455) (|inverseIntegralMatrix| . 1164141)
+ (|integralMatrix| . 1163827) (|reduceBasisAtInfinity| . 1163523)
+ (|normalizeAtInfinity| . 1163219) (|complementaryBasis| . 1162915)
+ (|integral?| . 1162007) (|integralAtInfinity?| . 1161705)
+ (|integralBasisAtInfinity| . 1161404) (|ramified?| . 1160802)
+ (|ramifiedAtInfinity?| . 1160503) (|singular?| . 1159901)
+ (|singularAtInfinity?| . 1159602) (|branchPoint?| . 1159000)
+ (|branchPointAtInfinity?| . 1158701) (|rationalPoint?| . 1158031)
+ (|absolutelyIrreducible?| . 1157373) (|genus| . 1156693)
+ (|getZechTable| . 1156008) (|createZechTable| . 1155774)
+ (|createMultiplicationTable| . 1155480)
+ (|createMultiplicationMatrix| . 1155226)
+ (|createLowComplexityTable| . 1154956)
+ (|createLowComplexityNormalBasis| . 1154558) (|representationType| . 1154423)
+ (|createPrimitiveElement| . 1154368) (|tableForDiscreteLogarithm| . 1154198)
+ (|factorsOfCyclicGroupSize| . 1154019) (|sizeMultiplication| . 1152931)
+ (|getMultiplicationMatrix| . 1152119) (|getMultiplicationTable| . 1151251)
+ (|primitive?| . 1150949) (|numberOfIrreduciblePoly| . 1150781)
+ (|numberOfPrimitivePoly| . 1150613) (|numberOfNormalPoly| . 1150445)
+ (|createIrreduciblePoly| . 1150220) (|createPrimitivePoly| . 1149995)
+ (|createNormalPoly| . 1149770) (|createNormalPrimitivePoly| . 1149545)
+ (|createPrimitiveNormalPoly| . 1149320) (|nextIrreduciblePoly| . 1149136)
+ (|nextPrimitivePoly| . 1148952) (|nextNormalPoly| . 1148768)
+ (|nextNormalPrimitivePoly| . 1148584) (|nextPrimitiveNormalPoly| . 1148400)
+ (|leastAffineMultiple| . 1148218) (|reducedQPowers| . 1147960)
+ (|rootOfIrreduciblePoly| . 1147354) (|write!| . 1147211) (|read!| . 1147071)
+ (|iomode| . 1146897) (|close!| . 1146713) (|reopen!| . 1146543)
+ (|open| . 1146235) (|rightUnit| . 1146069) (|leftUnit| . 1145903)
+ (|rightMinimalPolynomial| . 1145676) (|leftMinimalPolynomial| . 1145449)
+ (|associatorDependence| . 1145003) (|lieAlgebra?| . 1144637)
+ (|jordanAlgebra?| . 1144271) (|noncommutativeJordanAlgebra?| . 1143905)
+ (|jordanAdmissible?| . 1143539) (|lieAdmissible?| . 1143173)
+ (|jacobiIdentity?| . 1142807) (|powerAssociative?| . 1142656)
+ (|alternative?| . 1142290) (|flexible?| . 1141924)
+ (|rightAlternative?| . 1141558) (|leftAlternative?| . 1141192)
+ (|antiAssociative?| . 1140826) (|associative?| . 1140460)
+ (|antiCommutative?| . 1140094) (|commutative?| . 1139728)
+ (|rightCharacteristicPolynomial| . 1139545)
+ (|leftCharacteristicPolynomial| . 1139362) (|rightNorm| . 1139236)
+ (|leftNorm| . 1139110) (|rightTrace| . 1138984) (|leftTrace| . 1138858)
+ (|someBasis| . 1138705) (|find| . 1138554) (|count| . 1138192)
+ (|every?| . 1138012) (|any?| . 1137832) (|sort!| . 1137419)
+ (|copyInto!| . 1137215) (|sorted?| . 1136855) (|LiePoly| . 1136669)
+ (|quickSort| . 1136364) (|heapSort| . 1136059) (|shellSort| . 1135754)
+ (|outputSpacing| . 1135633) (|outputGeneral| . 1135444)
+ (|outputFixed| . 1135255) (|outputFloating| . 1135066) (|exp1| . 1134985)
+ (|log10| . 1134861) (|log2| . 1134737) (|rationalApproximation| . 1134151)
+ (|relerror| . 1134072) (|complexSolve| . 1132903) (|complexRoots| . 1132344)
+ (|realRoots| . 1131840) (|leadingTerm| . 1131646) (|overlap| . 1131458)
+ (|hcrf| . 1131346) (|hclf| . 1131234) (|writable?| . 1131143)
+ (|readable?| . 1131052) (|exists?| . 1130961) (|extension| . 1130871)
+ (|directory| . 1130781) (|filename| . 1130685) (|shallowExpand| . 1130444)
+ (|deepExpand| . 1130203) (|fracPart| . 1129844) (|polyPart| . 1129637)
+ (|fullPartialFraction| . 1129391) (|primeFrobenius| . 1129206)
+ (|discreteLog| . 1128968) (|decreasePrecision| . 1128780)
+ (|increasePrecision| . 1128592) (|precision| . 1128328) (|bits| . 1127940)
+ (|mantissa| . 1127846) (|unitNormalize| . 1127753) (|unit| . 1127408)
+ (|flagFactor| . 1127212) (|sqfrFactor| . 1127081) (|primeFactor| . 1126950)
+ (|nthFlag| . 1126757) (|nthExponent| . 1126626)
+ (|irreducibleFactor| . 1126495) (|factors| . 1125922) (|nilFactor| . 1125791)
+ (|regularRepresentation| . 1125331) (|traceMatrix| . 1124622)
+ (|randomLC| . 1124232) (|minimize| . 1123900) (|module| . 1123164)
+ (|rightRegularRepresentation| . 1122818)
+ (|leftRegularRepresentation| . 1122472) (|rightTraceMatrix| . 1121923)
+ (|leftTraceMatrix| . 1121374) (|rightDiscriminant| . 1120915)
+ (|leftDiscriminant| . 1120456) (|represents| . 1119219)
+ (|mergeFactors| . 1119067) (|isMult| . 1118830) (|applyQuote| . 1118115)
+ (|ground| . 1117860) (|ground?| . 1117542) (|exprToXXP| . 1116752)
+ (|exprToUPS| . 1115475) (|exprToGenUPS| . 1114198) (|localAbs| . 1112791)
+ (|universe| . 1112656) (|complement| . 1112518) (|cardinality| . 1112363)
+ (|internalIntegrate0| . 1111810) (|makeCos| . 1111536) (|makeSin| . 1111262)
+ (|iiGamma| . 1111096) (|iiabs| . 1110930) (|bringDown| . 1110362)
+ (|newReduc| . 1110146) (|logical?| . 1110056) (|character?| . 1109966)
+ (|doubleComplex?| . 1109876) (|complex?| . 1109786) (|double?| . 1109696)
+ (|ffactor| . 1109390) (|qfactor| . 1109014) (|UP2ifCan| . 1108529)
+ (|anfactor| . 1108102) (|fortranCharacter| . 1108057)
+ (|fortranDoubleComplex| . 1108012) (|fortranComplex| . 1107967)
+ (|fortranLogical| . 1107922) (|fortranInteger| . 1107877)
+ (|fortranDouble| . 1107832) (|fortranReal| . 1107787) (|external?| . 1107705)
+ (|dimensionsOf| . 1107590) (|scalarTypeOf| . 1107444) (|makeFR| . 1106831)
+ (|musserTrials| . 1106472) (|stopMusserTrials| . 1106113)
+ (|numberOfFactors| . 1105708) (|modularFactor| . 1105482)
+ (|useSingleFactorBound?| . 1105318) (|useSingleFactorBound| . 1105151)
+ (|useEisensteinCriterion?| . 1104987) (|useEisensteinCriterion| . 1104820)
+ (|eisensteinIrreducible?| . 1104653) (|tryFunctionalDecomposition?| . 1104489)
+ (|tryFunctionalDecomposition| . 1104322) (|btwFact| . 1103831)
+ (|beauzamyBound| . 1103387) (|bombieriNorm| . 1102518) (|rootBound| . 1102074)
+ (|singleFactorBound| . 1101139) (|quadraticNorm| . 1100723)
+ (|infinityNorm| . 1100307) (|scaleRoots| . 1100128) (|shiftRoots| . 1099949)
+ (|degreePartition| . 1099396) (|factorOfDegree| . 1097889)
+ (|factorsOfDegree| . 1097607) (|pascalTriangle| . 1097435)
+ (|rangePascalTriangle| . 1097158) (|sizePascalTriangle| . 1097020)
+ (|fillPascalTriangle| . 1096896) (|safeCeiling| . 1096724)
+ (|safeFloor| . 1096552) (|safetyMargin| . 1096177) (|sumSquares| . 1096025)
+ (|euclideanNormalForm| . 1095706) (|euclideanGroebner| . 1094699)
+ (|factorGroebnerBasis| . 1093881) (|groebnerFactorize| . 1092241)
+ (|credPol| . 1091934) (|redPol| . 1091627) (|gbasis| . 1091289)
+ (|critT| . 1090869) (|critM| . 1090569) (|critB| . 1090263)
+ (|critBonD| . 1089856) (|critMTonD1| . 1089452) (|critMonD1| . 1089045)
+ (|redPo| . 1088672) (|hMonic| . 1088403) (|updatF| . 1088003)
+ (|sPol| . 1087614) (|updatD| . 1087207) (|minGbasis| . 1086903)
+ (|lepol| . 1086606) (|prinshINFO| . 1086312) (|prindINFO| . 1085852)
+ (|fprindINFO| . 1085389) (|prinpolINFO| . 1085060) (|prinb| . 1084738)
+ (|critpOrder| . 1084315) (|makeCrit| . 1083808) (|virtualDegree| . 1083500)
+ (|lcm| . 1083369) (|conditionsForIdempotents| . 1081998)
+ (|genericRightDiscriminant| . 1081652) (|genericRightTraceForm| . 1081300)
+ (|genericLeftDiscriminant| . 1080954) (|genericLeftTraceForm| . 1080602)
+ (|genericRightNorm| . 1080253) (|genericRightTrace| . 1079904)
+ (|genericRightMinimalPolynomial| . 1079540) (|rightRankPolynomial| . 1078711)
+ (|genericLeftNorm| . 1078362) (|genericLeftTrace| . 1078013)
+ (|genericLeftMinimalPolynomial| . 1077649) (|leftRankPolynomial| . 1076820)
+ (|generic| . 1074956) (|rightUnits| . 1074327) (|leftUnits| . 1073698)
+ (|compBound| . 1073446) (|tablePow| . 1073158) (|solveid| . 1072912)
+ (|testModulus| . 1072678) (|HenselLift| . 1072336)
+ (|completeHensel| . 1072079) (|multMonom| . 1071494) (|build| . 1070909)
+ (|leadingIndex| . 1070330) (|leadingExponent| . 1069751)
+ (|GospersMethod| . 1069163) (|nextSubsetGray| . 1069014)
+ (|firstSubsetGray| . 1068861) (|clipPointsDefault| . 1068688)
+ (|drawToScale| . 1068515) (|adaptive| . 1068122) (|figureUnits| . 1067952)
+ (|putColorInfo| . 1067790) (|appendPoint| . 1067658) (|component| . 1067097)
+ (|ranges| . 1066604) (|pointLists| . 1066482) (|makeGraphImage| . 1065822)
+ (|graphImage| . 1065778) (|groebSolve| . 1065368) (|testDim| . 1065042)
+ (|genericPosition| . 1064561) (|lfunc| . 1064476) (|inHallBasis?| . 1064350)
+ (|reorder| . 1063586) (|parameters| . 1063385) (|headAst| . 1063250)
+ (|heap| . 1063130) (|gcdprim| . 1062978) (|gcdcofact| . 1062819)
+ (|gcdcofactprim| . 1062660) (|lintgcd| . 1062473) (|hex| . 1062360)
+ (|host| . 1062282) (|trueEqual| . 1062186) (|factorList| . 1061554)
+ (|listConjugateBases| . 1060943) (|matrixGcd| . 1060481)
+ (|divideIfCan!| . 1060027) (|leastPower| . 1059598) (|idealiser| . 1058757)
+ (|idealiserMatrix| . 1058337) (|moduleSum| . 1057848)
+ (|mapUnivariate| . 1057112) (|mapUnivariateIfCan| . 1056734)
+ (|mapMatrixIfCan| . 1056312) (|mapBivariate| . 1055904)
+ (|fullDisplay| . 1054990) (|relationsIdeal| . 1054512) (|saturate| . 1053961)
+ (|groebner?| . 1053675) (|groebnerIdeal| . 1053382) (|ideal| . 1052367)
+ (|leadingIdeal| . 1052109) (|backOldPos| . 1051712)
+ (|generalPosition| . 1051256) (|quotient| . 1050736) (|zeroDim?| . 1050128)
+ (|inRadical?| . 1049839) (|in?| . 1049550) (|element?| . 1049261)
+ (|zeroDimPrime?| . 1048676) (|zeroDimPrimary?| . 1048091)
+ (|radical| . 1047537) (|primaryDecomp| . 1046502) (|contract| . 1045473)
+ (|gensym| . 1045429) (|leadingSupport| . 1045275) (|combineWithIf| . 1045012)
+ (|term| . 1044867) (|shrinkable| . 1044580) (|physicalLength!| . 1044296)
+ (|physicalLength| . 1043987) (|flexibleArray| . 1043700)
+ (|elseBranch| . 1043624) (|thenBranch| . 1043548)
+ (|generalizedInverse| . 1043262) (|imports| . 1043171) (|sequence| . 1043095)
+ (|readBytes!| . 1042952) (|readUInt32!| . 1042845) (|readInt32!| . 1042739)
+ (|readUInt16!| . 1042632) (|readInt16!| . 1042526) (|readUInt8!| . 1042420)
+ (|readInt8!| . 1042315) (|readByte!| . 1042210) (|setFieldInfo| . 1041948)
+ (|pol| . 1041734) (|xn| . 1041504) (|dAndcExp| . 1041254) (|repSq| . 1041048)
+ (|expPot| . 1040844) (|qPot| . 1040649) (|lookup| . 1040362)
+ (|normal?| . 1039786) (|basis| . 1037944) (|normalElement| . 1037606)
+ (|minimalPolynomial| . 1036777) (|position!| . 1036680) (|eof?| . 1036592)
+ (|inputBinaryFile| . 1036418) (|increment| . 1036250)
+ (|incrementBy| . 1036079) (|charpol| . 1035784) (|solve1| . 1035488)
+ (|innerEigenvectors| . 1034930) (|compile| . 1034800) (|declare| . 1034673)
+ (|parseString| . 1034594) (|unparse| . 1034515) (|flatten| . 1034469)
+ (|lambda| . 1034376) (|binary| . 1034174) (|packageCall| . 1034016)
+ (|interpret| . 1033811) (|innerSolve1| . 1033219) (|innerSolve| . 1032863)
+ (|makeEq| . 1032509) (|modularGcdPrimitive| . 1032217)
+ (|modularGcd| . 1031925) (|reduction| . 1031318) (|signAround| . 1030543)
+ (|invmod| . 1030482) (|powmod| . 1030418) (|mulmod| . 1030354)
+ (|submod| . 1030290) (|addmod| . 1030226) (|mask| . 1030168) (|dec| . 1030110)
+ (|inc| . 1030052) (|symmetricRemainder| . 1029991)
+ (|positiveRemainder| . 1029930) (|bit?| . 1029833) (|algint| . 1029360)
+ (|algintegrate| . 1028757) (|palgintegrate| . 1028154)
+ (|palginfieldint| . 1027684) (|bitLength| . 1027602) (|bitCoef| . 1027515)
+ (|bitTruth| . 1027393) (|contains?| . 1027146) (|inf| . 1026937)
+ (|qinterval| . 1026725) (|interval| . 1026051) (|unit?| . 1025962)
+ (|associates?| . 1025870) (|unitCanonical| . 1025817) (|unitNormal| . 1025661)
+ (|lfextendedint| . 1025090) (|lflimitedint| . 1024395)
+ (|lfinfieldint| . 1023893) (|lfintegrate| . 1023317) (|lfextlimint| . 1022671)
+ (|BasicMethod| . 1022508) (|PollardSmallFactor| . 1022378)
+ (|palgint0| . 1021046) (|palgextint0| . 1019732) (|palglimint0| . 1018170)
+ (|palgRDE0| . 1016844) (|palgLODE0| . 1015200) (|chineseRemainder| . 1014131)
+ (|divisors| . 1013979) (|eulerPhi| . 1013871) (|fibonacci| . 1013763)
+ (|harmonic| . 1013607) (|jacobi| . 1013496) (|moebiusMu| . 1013388)
+ (|numberOfDivisors| . 1013280) (|sumOfDivisors| . 1013172)
+ (|sumOfKthPowerDivisors| . 1013022) (|HermiteIntegrate| . 1012178)
+ (|palgint| . 1011578) (|palgextint| . 1010983) (|palglimint| . 1010264)
+ (|palgRDE| . 1009659) (|palgLODE| . 1008872) (|splitConstant| . 1008325)
+ (|pmComplexintegrate| . 1007629) (|pmintegrate| . 1006263)
+ (|infieldint| . 1005956) (|extendedint| . 1005556) (|limitedint| . 1005040)
+ (|integerIfCan| . 1004891) (|internalIntegrate| . 1003942)
+ (|infieldIntegrate| . 1003630) (|limitedIntegrate| . 1003094)
+ (|extendedIntegrate| . 1002663) (|varselect| . 1002440) (|kmax| . 1002217)
+ (|ksec| . 1001954) (|vark| . 1001696) (|removeConstantTerm| . 1001468)
+ (|mkPrim| . 1001189) (|intPatternMatch| . 1000413) (|primintegrate| . 999907)
+ (|expintegrate| . 999378) (|tanintegrate| . 998901)
+ (|primextendedint| . 998344) (|expextendedint| . 997764)
+ (|primlimitedint| . 997099) (|explimitedint| . 996415)
+ (|primextintfrac| . 996076) (|primlimintfrac| . 995621)
+ (|primintfldpoly| . 995329) (|expintfldpoly| . 994977)
+ (|monomialIntegrate| . 994569) (|monomialIntPoly| . 994281)
+ (|inverseLaplace| . 993695) (|inputOutputBinaryFile| . 993509)
+ (|closed| . 993469) (|bothWays| . 993429) (|input| . 993121)
+ (|resolve| . 992989) (|bytes| . 992886) (|ip4Address| . 992806)
+ (|iprint| . 992682) (|elem?| . 992554) (|notelem| . 992380)
+ (|logpart| . 992069) (|ratpart| . 991976) (|mkAnswer| . 991581)
+ (|irDef| . 991429) (|irCtor| . 991280) (|irVar| . 991131)
+ (|perfectNthPower?| . 990945) (|perfectNthRoot| . 990589)
+ (|approxNthRoot| . 990431) (|perfectSquare?| . 990294)
+ (|perfectSqrt| . 990179) (|approxSqrt| . 990070)
+ (|generateIrredPoly| . 989849) (|complexExpand| . 989034)
+ (|complexIntegrate| . 988112)
+ (|dimensionOfIrreducibleRepresentation| . 987950)
+ (|irreducibleRepresentation| . 987333) (|checkRur| . 986829)
+ (|cAcsch| . 986653) (|cAsech| . 986477) (|cAcoth| . 986301)
+ (|cAtanh| . 986125) (|cAcosh| . 985949) (|cAsinh| . 985773) (|cCsch| . 985597)
+ (|cSech| . 985421) (|cCoth| . 985245) (|cTanh| . 985069) (|cCosh| . 984893)
+ (|cSinh| . 984717) (|cAcsc| . 984541) (|cAsec| . 984365) (|cAcot| . 984189)
+ (|cAtan| . 984013) (|cAcos| . 983837) (|cAsin| . 983661) (|cCsc| . 983485)
+ (|cSec| . 983309) (|cCot| . 983133) (|cTan| . 982957) (|cCos| . 982781)
+ (|cSin| . 982605) (|cLog| . 982429) (|cExp| . 982253)
+ (|cRationalPower| . 982055) (|cPower| . 981876)
+ (|seriesToOutputForm| . 981493) (|iCompose| . 981376)
+ (|taylorQuoByVar| . 981262) (|iExquo| . 981105) (|getStream| . 980911)
+ (|getRef| . 980726) (|makeSeries| . 980458) (|mappingMode| . 980341)
+ (|categoryMode| . 980291) (|voidMode| . 980241) (|noValueMode| . 980191)
+ (|jokerMode| . 980141) (GF2FG . 979613) (FG2F . 979123) (F2FG . 978633)
+ (|explogs2trigs| . 978112) (|trigs2explogs| . 977527) (|swap!| . 977296)
+ (|fill!| . 976874) (|minIndex| . 976706) (|maxIndex| . 976538)
+ (|entry?| . 976285) (|indices| . 976115) (|index?| . 975942)
+ (|entries| . 975772) (|categories| . 975540) (|jvmInterface| . 975488)
+ (|jvmSuper| . 975436) (|jvmNameAndTypeConstantTag| . 975388)
+ (|jvmInterfaceMethodConstantTag| . 975340)
+ (|jvmMethodrefConstantTag| . 975292) (|jvmFieldrefConstantTag| . 975244)
+ (|jvmStringConstantTag| . 975196) (|jvmClassConstantTag| . 975148)
+ (|jvmDoubleConstantTag| . 975100) (|jvmLongConstantTag| . 975052)
+ (|jvmFloatConstantTag| . 975004) (|jvmIntegerConstantTag| . 974956)
+ (|jvmUTF8ConstantTag| . 974908) (|jvmTransient| . 974860)
+ (|jvmVolatile| . 974812) (|jvmStrict| . 974763) (|jvmAbstract| . 974664)
+ (|jvmNative| . 974615) (|jvmSynchronized| . 974566) (|jvmFinal| . 974421)
+ (|jvmStatic| . 974326) (|jvmProtected| . 974231) (|jvmPrivate| . 974136)
+ (|jvmPublic| . 973991) (|search| . 973839) (|keys| . 973661) (|key?| . 973480)
+ (|symbolIfCan| . 973352) (|kernel| . 972787) (|argument| . 972394)
+ (|constantKernel| . 972222) (|constantIfCan| . 972041) (|kovacic| . 971085)
+ (|unknown| . 971031) (|laplace| . 970479) (|trailingCoefficient| . 970306)
+ (|normalizeIfCan| . 969851) (|polCase| . 969467) (|distFact| . 968724)
+ (|identification| . 968383) (|LyndonCoordinates| . 968030)
+ (|LyndonBasis| . 967656) (|zeroDimensional?| . 967164) (|fglmIfCan| . 966723)
+ (|groebner| . 965086) (|lexTriangular| . 964760)
+ (|squareFreeLexTriangular| . 963963) (|belong?| . 962175) (|erf| . 961837)
+ (|dilog| . 961499) (|li| . 961161) (|Ci| . 960823) (|Si| . 960485)
+ (|Ei| . 960147) (|linGenPos| . 959771) (|groebgen| . 959390)
+ (|totolex| . 959090) (|minPol| . 958387) (|computeBasis| . 958159)
+ (|coord| . 957482) (|anticoord| . 957149) (|intcompBasis| . 956869)
+ (|choosemon| . 956581) (|transform| . 956294) (|pack!| . 956148)
+ (|library| . 956069) (|complexLimit| . 954930) (|limit| . 952104)
+ (|linearlyDependent?| . 951853) (|linearDependence| . 951602)
+ (|solveLinear| . 951016) (|linearElement| . 950848) (|reducedSystem| . 950403)
+ (|leftReducedSystem| . 949988) (|linearForm| . 949830)
+ (|setDifference| . 949707) (|setIntersection| . 949584) (|setUnion| . 949461)
+ (|append| . 949381) (|null| . 949267) (|nil| . 949193) (|substitute| . 949079)
+ (|duplicates?| . 948943) (|mapGen| . 948238) (|mapExpon| . 947696)
+ (|commutativeEquality| . 947497) (|plus| . 947154) (|leftMult| . 946983)
+ (|rightMult| . 946812) (|makeUnit| . 946647) (|reverse!| . 946227)
+ (|reverse| . 945782) (|nthFactor| . 944979) (|nthExpon| . 944469)
+ (|makeMulti| . 944235) (|makeTerm| . 944064) (|listOfMonoms| . 943823)
+ (|insert| . 943559) (|delete| . 943280) (|symmetricSquare| . 943126)
+ (|factor1| . 942514) (|symmetricProduct| . 942120) (|symmetricPower| . 941634)
+ (|directSum| . 941240) (|\\/| . 941193) (|/\\| . 941146) (~ . 941102)
+ (|solveLinearPolynomialEquationByFractions| . 940834)
+ (|hasSolution?| . 940129) (|linSolve| . 939608) (|LyndonWordsList| . 939386)
+ (|LyndonWordsList1| . 939140) (|lyndonIfCan| . 938995) (|lyndon| . 938856)
+ (|lyndon?| . 938682) (|numberOfComputedEntries| . 938540) (|rst| . 938437)
+ (|frst| . 938334) (|lazyEvaluate| . 938231) (|lazy?| . 938100)
+ (|explicitlyEmpty?| . 937969) (|explicitEntries?| . 937838) (|iter| . 937635)
+ (|arg1| . 937478) (|arg2| . 937321) (|comp| . 937042) (|mappingAst| . 936912)
+ (|nullary| . 936777) (|fixedPoint| . 936417) (|id| . 936313)
+ (|recur| . 935921) (|const| . 935739) (|curry| . 935523) (|diag| . 935304)
+ (|curryRight| . 935038) (|curryLeft| . 934772) (|constantRight| . 934509)
+ (|constantLeft| . 934246) (|twist| . 933980) (|setsubMatrix!| . 933731)
+ (|subMatrix| . 933479) (|swapColumns!| . 933233) (|swapRows!| . 932987)
+ (|vertConcat| . 932779) (|horizConcat| . 932571) (|squareTop| . 932366)
+ (|elRow1!| . 932041) (|elRow2!| . 931713) (|elColumn2!| . 931385)
+ (|fractionFreeGauss!| . 931050) (|invertIfCan| . 930725) (|copy!| . 930578)
+ (|plus!| . 930428) (|minus!| . 930133) (|leftScalarTimes!| . 929983)
+ (|rightScalarTimes!| . 929833) (|times!| . 929683) (|power!| . 929481)
+ (|nothing| . 929375) (|just| . 929266) (|duplicates| . 929046)
+ (|removeDuplicates!| . 928801) (|linears| . 928623) (|ddFact| . 928366)
+ (|separateFactors| . 927775) (|exptMod| . 927357) (|meshPar2Var| . 926215)
+ (|meshFun2Var| . 925751) (|meshPar1Var| . 925384) (|ptFunc| . 925003)
+ (|rowEch| . 924852) (|rowEchLocal| . 924698) (|rowEchelonLocal| . 924541)
+ (|normalizedDivide| . 923930) (|binaryFunction| . 923624)
+ (|makeFloatFunction| . 923131) (|function| . 922366) (|makeRecord| . 922173)
+ (|unaryFunction| . 921908) (|compiledFunction| . 921330) (|corrPoly| . 920744)
+ (|lifting| . 920134) (|lifting1| . 919384) (|exprex| . 919262)
+ (|coerceL| . 919140) (|coerceS| . 919018) (|frobenius| . 918822)
+ (|computePowers| . 918610) (|pow| . 918398) (|An| . 918214)
+ (|UnVectorise| . 918030) (|Vectorise| . 917846) (|setPoly| . 917699)
+ (|index| . 916947) (|exponent| . 916187) (|exQuo| . 915173)
+ (|moebius| . 915072) (|rightRecip| . 914843) (|leftRecip| . 914614)
+ (|leftPower| . 914416) (|rightPower| . 914218)
+ (|derivationCoordinates| . 913904) (|generator| . 912721) (|one?| . 912198)
+ (|monoidOperation| . 912056) (|neutralValue| . 911945)
+ (|splitSquarefree| . 911609) (|normalDenom| . 911364) (|reshape| . 910553)
+ (|totalfract| . 909928) (|pushdterm| . 909345) (|pushucoef| . 908747)
+ (|pushuconst| . 908259) (|numberOfMonomials| . 907714) (|unique| . 907589)
+ (|multiset| . 907291) (|systemCommand| . 907169) (|mergeDifference| . 907040)
+ (|squareFreePrim| . 906734) (|compdegd| . 906304) (|univcase| . 905995)
+ (|consnewpol| . 905418) (|nsqfree| . 904726) (|intChoose| . 903930)
+ (|coefChoose| . 903593) (|myDegree| . 903127) (|normDeriv2| . 902765)
+ (|plenaryPower| . 902603) (|antiCommutator| . 902544) (|commutator| . 902440)
+ (|associator| . 902378) (|complexEigenvalues| . 902123)
+ (|complexEigenvectors| . 901727) (|isConnected?| . 901589)
+ (|connectTo| . 901214) (|shift| . 900801) (|normalizedAssociate| . 900450)
+ (|normalize| . 899062) (|outputArgs| . 898646) (|normInvertible?| . 898203)
+ (|normFactors| . 897816) (|npcoef| . 896977) (|listexp| . 896607)
+ (|characteristicPolynomial| . 894460) (|realEigenvalues| . 894232)
+ (|realEigenvectors| . 893875) (|halfExtendedResultant2| . 893605)
+ (|halfExtendedResultant1| . 893335) (|extendedResultant| . 893030)
+ (|subResultantsChain| . 892810) (|lazyPseudoQuotient| . 892696)
+ (|lazyPseudoRemainder| . 892582) (|bernoulliB| . 892344) (|eulerE| . 892106)
+ (|numeric| . 890387) (|complexNumeric| . 886345) (|numericIfCan| . 884912)
+ (|complexNumericIfCan| . 881711) (|FormatArabic| . 881583)
+ (|ScanArabic| . 881455) (|FormatRoman| . 881327) (|ScanRoman| . 881199)
+ (|ScanFloatIgnoreSpaces| . 881081) (|ScanFloatIgnoreSpacesIfCan| . 880957)
+ (|rk4| . 880339) (|rk4a| . 880026) (|rk4qc| . 879159) (|rk4f| . 878852)
+ (|aromberg| . 878510) (|asimpson| . 878168) (|atrapezoidal| . 877826)
+ (|romberg| . 877487) (|simpson| . 877148) (|trapezoidal| . 876809)
+ (|rombergo| . 876470) (|simpsono| . 876131) (|trapezoidalo| . 875792)
+ (|sup| . 875520) (|inv| . 874246) (|imagE| . 874135) (|imagk| . 874024)
+ (|imagj| . 873913) (|imagi| . 873802) (|octon| . 873534)
+ (|constDsolve| . 872818) (|expint| . 872271) (|diff| . 871686)
+ (|algDsolve| . 871002) (|denomLODE| . 869989) (|indicialEquations| . 867805)
+ (|indicialEquation| . 866805) (|denomRicDE| . 866304)
+ (|leadingCoefficientRicDE| . 865740) (|constantCoefficientRicDE| . 865109)
+ (|changeVar| . 864149) (|ratDsolve| . 861861)
+ (|indicialEquationAtInfinity| . 861037) (|reduceLODE| . 860572)
+ (|singRicDE| . 859060) (|polyRicDE| . 857632) (|ricDsolve| . 853334)
+ (|triangulate| . 852488) (|solveInField| . 851379)
+ (|wronskianMatrix| . 850878) (|variationOfParameters| . 850643)
+ (|lexico| . 850258) (|po| . 850086) (|op| . 849914) (|infinity| . 849704)
+ (|makeop| . 849372) (|opeval| . 849068) (|evaluateInverse| . 848771)
+ (|evaluate| . 847699) (|conjug| . 847393) (|adjoint| . 846250)
+ (|arity| . 846117) (|getDatabase| . 845980) (|whatInfinity| . 845833)
+ (|infinite?| . 845566) (|finite?| . 845214) (|minusInfinity| . 845006)
+ (|plusInfinity| . 844798) (|pureLex| . 844575) (|totalLex| . 844352)
+ (|reverseLex| . 844129) (|min| . 843599) (|leftLcm| . 843279)
+ (|rightExtendedGcd| . 843035) (|rightGcd| . 842888)
+ (|rightExactQuotient| . 842735) (|rightRemainder| . 842588)
+ (|rightQuotient| . 842441) (|rightLcm| . 842294) (|leftExtendedGcd| . 842050)
+ (|leftGcd| . 841730) (|leftExactQuotient| . 841402) (|leftRemainder| . 841082)
+ (|leftQuotient| . 840762) (|times| . 840491) (|apply| . 839674)
+ (|monicLeftDivide| . 839099) (|monicRightDivide| . 838524)
+ (|leftDivide| . 837719) (|rightDivide| . 837162) (|hermiteH| . 836991)
+ (|laguerreL| . 836648) (|legendreP| . 836415) (|outputList| . 836292)
+ (|writeBytes!| . 836148) (|writeUInt8!| . 836012) (|writeInt8!| . 835878)
+ (|writeByte!| . 835744) (|isOpen?| . 835477) (|outputBinaryFile| . 835301)
+ (|not| . 835205) (|or| . 835103) (|and| . 835001) (|quo| . 834840)
+ (|rem| . 834679) (|div| . 834429) (>= . 834292) (> . 834155) (~= . 834020)
+ (|blankSeparate| . 833925) (|semicolonSeparate| . 833830)
+ (|commaSeparate| . 833735) (|pile| . 833640) (|paren| . 833360)
+ (|bracket| . 833220) (|prod| . 833074) (|overlabel| . 833024)
+ (|overbar| . 832977) (|prime| . 832835) (|quote| . 832747)
+ (|supersub| . 832649) (|presuper| . 832599) (|presub| . 832549)
+ (|super| . 832499) (|sub| . 832449) (|rarrow| . 832399) (|assign| . 832349)
+ (|slash| . 832299) (|over| . 832249) (|zag| . 832199) (|box| . 832012)
+ (|label| . 831962) (|infix?| . 831881) (|postfix| . 831831) (|infix| . 831682)
+ (|prefix| . 831584) (|vconcat| . 831441) (|hconcat| . 831298)
+ (|rspace| . 831212) (|vspace| . 831131) (|hspace| . 831050)
+ (|superHeight| . 830969) (|subHeight| . 830888) (|height| . 829942)
+ (|width| . 829578) (|doubleFloatFormat| . 829498) (|messagePrint| . 829384)
+ (|message| . 829304) (|members| . 829068) (|padecf| . 828749)
+ (|pade| . 827790) (|root| . 827523) (|quotientByP| . 827461)
+ (|moduloP| . 827356) (|modulus| . 826080) (|digits| . 825389)
+ (|continuedFraction| . 824380) (|pair| . 824261) (|light| . 824185)
+ (|pastel| . 824109) (|bright| . 823813) (|dim| . 823737) (|dark| . 823661)
+ (|getSyntaxFormsFromFile| . 823540) (|surface| . 823442)
+ (|coordinate| . 823017) (|conjugates| . 822884) (|shuffle| . 822712)
+ (|shufflein| . 822540) (|sequences| . 822201) (|permutations| . 822041)
+ (|lists| . 821785) (|makeResult| . 821481) (|is?| . 820263) (|Is| . 818895)
+ (|addMatchRestricted| . 818704) (|insertMatch| . 818516) (|addMatch| . 818328)
+ (|getMatch| . 818141) (|failed| . 817801) (|failed?| . 817399)
+ (|optpair| . 817257) (|getBadValues| . 817128) (|resetBadValues| . 817039)
+ (|hasTopPredicate?| . 816915) (|topPredicate| . 816736)
+ (|setTopPredicate| . 816574) (|patternVariable| . 816414)
+ (|withPredicates| . 816282) (|setPredicates| . 816150) (|predicates| . 816021)
+ (|hasPredicate?| . 815897) (|optional?| . 815773) (|multiple?| . 815649)
+ (|generic?| . 815525) (|quoted?| . 815401) (|inR?| . 815277)
+ (|isList| . 815135) (|isQuotient| . 814957) (|isOp| . 814562)
+ (|Zero| . 814240) (|satisfy?| . 813581) (|addBadValue| . 813290)
+ (|badValues| . 813088) (|retractable?| . 812204) (|ListOfTerms| . 811453)
+ (|One| . 810976) (|leftFactor| . 810801) (|rightFactorCandidate| . 810589)
+ (D . 809257) (|ptree| . 809070) (|coerceImages| . 808942)
+ (|fixedPoints| . 808786) (|odd?| . 808423) (|even?| . 808060)
+ (|numberOfCycles| . 807921) (|cyclePartition| . 807791)
+ (|coerceListOfPairs| . 807654) (|coercePreimagesImages| . 807517)
+ (|listRepresentation| . 807332) (|permanent| . 807016) (|cycles| . 806869)
+ (|cycle| . 806731) (|initializeGroupForWordProblem| . 806432) (<= . 806161)
+ (< . 805751) (|support| . 805484) (|wordInGenerators| . 805286)
+ (|wordInStrongGenerators| . 805088) (|orbits| . 804941) (|orbit| . 804330)
+ (|permutationGroup| . 804174) (|wordsForStrongGenerators| . 804005)
+ (|strongGenerators| . 803849) (|base| . 803484) (|generators| . 803044)
+ (|bivariateSLPEBR| . 802627)
+ (|solveLinearPolynomialEquationByRecursion| . 801878)
+ (|factorByRecursion| . 801107) (|factorSquareFreeByRecursion| . 800336)
+ (|randomR| . 799535) (|factorSFBRlcUnit| . 798733) (|charthRoot| . 798417)
+ (|conditionP| . 798079) (|solveLinearPolynomialEquation| . 797041)
+ (|factorSquareFreePolynomial| . 796836) (|factorPolynomial| . 796331)
+ (|squareFreePolynomial| . 795826) (|gcdPolynomial| . 795221)
+ (|torsion?| . 794239) (|torsionIfCan| . 793225) (|getGoodPrime| . 792924)
+ (|badNum| . 792356) (|mix| . 792018) (|doubleDisc| . 791760)
+ (|polyred| . 791533) (|padicFraction| . 791425) (|padicallyExpand| . 791257)
+ (|numberOfFractionalTerms| . 791121) (|nthFractionalTerm| . 790982)
+ (|firstNumer| . 790874) (|firstDenom| . 790734) (|compactFraction| . 790626)
+ (|partialFraction| . 789926) (|gcdPrimitive| . 789037)
+ (|symmetricGroup| . 788702) (|alternatingGroup| . 788367)
+ (|abelianGroup| . 788190) (|cyclicGroup| . 787855) (|dihedralGroup| . 787520)
+ (|mathieu11| . 787231) (|mathieu12| . 786942) (|mathieu22| . 786653)
+ (|mathieu23| . 786364) (|mathieu24| . 786075) (|janko2| . 785786)
+ (|rubiksGroup| . 785664) (|youngGroup| . 785335) (|lexGroebner| . 785147)
+ (|totalGroebner| . 784959) (|expressIdealMember| . 784816)
+ (|principalIdeal| . 784634) (|LagrangeInterpolation| . 784423)
+ (|psolve| . 775850) (|wrregime| . 775020) (|rdregime| . 774134)
+ (|bsolve| . 772882) (|dmp2rfi| . 771591) (|se2rfi| . 771138)
+ (|pr2dmp| . 770750) (|hasoln| . 770238) (|ParCondList| . 769412)
+ (|redpps| . 768854) (|B1solve| . 768030) (|factorset| . 767648)
+ (|maxrank| . 766946) (|minrank| . 766244) (|minset| . 765853)
+ (|nextSublist| . 765415) (|overset?| . 764958) (|ParCond| . 764370)
+ (|redmat| . 763955) (|regime| . 762848) (|sqfree| . 762501)
+ (|inconsistent?| . 761654) (|debug| . 761579) (|numFunEvals| . 761507)
+ (|setAdaptive| . 761432) (|adaptive?| . 761360)
+ (|setScreenResolution| . 761285) (|screenResolution| . 761042)
+ (|setMaxPoints| . 760967) (|maxPoints| . 760724) (|setMinPoints| . 760649)
+ (|minPoints| . 760406) (|parametric?| . 760331) (|plotPolar| . 759649)
+ (|debug3D| . 759572) (|numFunEvals3D| . 759498) (|setAdaptive3D| . 759421)
+ (|adaptive3D?| . 759347) (|setScreenResolution3D| . 759270)
+ (|screenResolution3D| . 759196) (|setMaxPoints3D| . 759119)
+ (|maxPoints3D| . 759045) (|setMinPoints3D| . 758968) (|minPoints3D| . 758894)
+ (|tValues| . 758786) (|tRange| . 758600) (|plot| . 756598)
+ (|pointPlot| . 755893) (|calcRanges| . 755712) (|assert| . 755244)
+ (|optional| . 754941) (|multiple| . 754638) (|fixPredicate| . 754303)
+ (|patternMatch| . 749580) (|patternMatchTimes| . 749061)
+ (|bernoulli| . 748717) (|chebyshevT| . 748371) (|chebyshevU| . 748025)
+ (|cyclotomic| . 747503) (|euler| . 747207) (|fixedDivisor| . 747030)
+ (|laguerre| . 746853) (|legendre| . 746554) (|dmpToHdmp| . 746282)
+ (|hdmpToDmp| . 746010) (|pToHdmp| . 745771) (|hdmpToP| . 745532)
+ (|dmpToP| . 745304) (|pToDmp| . 745076) (|sylvesterSequence| . 744868)
+ (|sturmSequence| . 744663) (|boundOfCauchy| . 744452)
+ (|sturmVariationsOf| . 744167) (|lazyVariations| . 743841)
+ (|content| . 743082) (|primitiveMonomials| . 742860) (|totalDegree| . 742344)
+ (|minimumDegree| . 741368) (|monomials| . 740811) (|isPlus| . 739731)
+ (|isTimes| . 738658) (|isExpt| . 736827) (|isPower| . 735853)
+ (|rroot| . 735150) (|qroot| . 734399) (|froot| . 733657) (|nthr| . 732945)
+ (|port| . 732856) (|firstUncouplingMatrix| . 732582) (|integral| . 731472)
+ (|primitiveElement| . 729201) (|nextPrime| . 729084) (|prevPrime| . 728967)
+ (|primes| . 728819) (|print| . 728623) (|selectsecond| . 728490)
+ (|selectfirst| . 728357) (|makeprod| . 728221) (|property| . 727839)
+ (|disjunction| . 727727) (|conjunction| . 727615) (|isEquiv| . 727429)
+ (|isImplies| . 727243) (|isOr| . 727057) (|isAnd| . 726871) (|isNot| . 726701)
+ (|isAtom| . 726563) (|atoms| . 726112) (|dual| . 725680) (|equiv| . 725620)
+ (|implies| . 725560) (|false| . 725506) (|true| . 725452) (|merge!| . 725028)
+ (|max| . 724500) (|resultantEuclidean| . 724221)
+ (|semiResultantEuclidean2| . 723967) (|semiResultantEuclidean1| . 723713)
+ (|indiceSubResultant| . 723482) (|indiceSubResultantEuclidean| . 723151)
+ (|semiIndiceSubResultantEuclidean| . 722845) (|degreeSubResultant| . 722614)
+ (|degreeSubResultantEuclidean| . 722283)
+ (|semiDegreeSubResultantEuclidean| . 721977)
+ (|lastSubResultantEuclidean| . 721695)
+ (|semiLastSubResultantEuclidean| . 721438)
+ (|subResultantGcdEuclidean| . 721165)
+ (|semiSubResultantGcdEuclidean2| . 720917)
+ (|semiSubResultantGcdEuclidean1| . 720669) (|discriminantEuclidean| . 720390)
+ (|semiDiscriminantEuclidean| . 720136) (|chainSubResultants| . 719926)
+ (|schema| . 719689) (|resultantReduit| . 719475)
+ (|resultantReduitEuclidean| . 719140)
+ (|semiResultantReduitEuclidean| . 718848) (|divide| . 718099)
+ (|Lazard| . 717868) (|Lazard2| . 717634) (|nextsousResultant2| . 717446)
+ (|resultantnaif| . 717264) (|resultantEuclideannaif| . 716985)
+ (|semiResultantEuclideannaif| . 716731) (|pdct| . 716641) (|powers| . 716507)
+ (|partitions| . 716366) (|parts| . 716260) (|partition| . 716031)
+ (|complete| . 715394) (|pole?| . 715049) (|monomial| . 711798)
+ (|leadingMonomial| . 710546) (|zRange| . 710421) (|yRange| . 710173)
+ (|xRange| . 709925) (|listBranches| . 709645) (|triangular?| . 709307)
+ (|rewriteIdealWithRemainder| . 708959)
+ (|rewriteIdealWithHeadRemainder| . 708611) (|remainder| . 708207)
+ (|headRemainder| . 707830) (|roughUnitIdeal?| . 707492)
+ (|roughEqualIdeals?| . 707151) (|roughSubIdeal?| . 706810)
+ (|roughBase?| . 706472) (|trivialIdeal?| . 706171) (|sort| . 705372)
+ (|collectUpper| . 705103) (|collect| . 704834) (|collectUnder| . 704565)
+ (|mainVariable?| . 704261) (|mainVariables| . 703960)
+ (|removeSquaresIfCan| . 703636) (|unprotectedRemoveRedundantFactors| . 703316)
+ (|removeRedundantFactors| . 701642) (|certainlySubVariety?| . 701287)
+ (|possiblyNewVariety?| . 700895) (|probablyZeroDim?| . 700543)
+ (|selectPolynomials| . 700072) (|selectOrPolynomials| . 699592)
+ (|selectAndPolynomials| . 699112) (|quasiMonicPolynomials| . 698694)
+ (|univariate?| . 698377) (|univariatePolynomials| . 697959)
+ (|linear?| . 697642) (|linearPolynomials| . 697224) (|bivariate?| . 696907)
+ (|bivariatePolynomials| . 696489)
+ (|removeRoughlyRedundantFactorsInPols| . 695806)
+ (|removeRoughlyRedundantFactorsInPol| . 695479) (|interReduce| . 695155)
+ (|roughBasicSet| . 694720) (|crushedSet| . 694396)
+ (|rewriteSetByReducingWithParticularGenerators| . 693923)
+ (|rewriteIdealWithQuasiMonicGenerators| . 693496)
+ (|squareFreeFactors| . 693147) (|univariatePolynomialsGcds| . 692406)
+ (|removeRoughlyRedundantFactorsInContents| . 692047)
+ (|removeRedundantFactorsInContents| . 691688)
+ (|removeRedundantFactorsInPols| . 691329) (|irreducibleFactors| . 690912)
+ (|lazyIrreducibleFactors| . 690495)
+ (|removeIrreducibleRedundantFactors| . 690075) (|normalForm| . 689429)
+ (|changeBase| . 689208) (|companionBlocks| . 688936) (|xCoord| . 688813)
+ (|yCoord| . 688690) (|zCoord| . 688567) (|rCoord| . 688444)
+ (|thetaCoord| . 688321) (|phiCoord| . 688198) (|color| . 688001)
+ (|hue| . 687730) (|shade| . 687531) (|nthRootIfCan| . 687340)
+ (|expIfCan| . 687194) (|logIfCan| . 687048) (|sinIfCan| . 686902)
+ (|cosIfCan| . 686756) (|tanIfCan| . 686610) (|cotIfCan| . 686464)
+ (|secIfCan| . 686318) (|cscIfCan| . 686172) (|asinIfCan| . 686026)
+ (|acosIfCan| . 685880) (|atanIfCan| . 685734) (|acotIfCan| . 685588)
+ (|asecIfCan| . 685442) (|acscIfCan| . 685296) (|sinhIfCan| . 685150)
+ (|coshIfCan| . 685004) (|tanhIfCan| . 684858) (|cothIfCan| . 684712)
+ (|sechIfCan| . 684566) (|cschIfCan| . 684420) (|asinhIfCan| . 684274)
+ (|acoshIfCan| . 684128) (|atanhIfCan| . 683982) (|acothIfCan| . 683836)
+ (|asechIfCan| . 683690) (|acschIfCan| . 683544) (|pushdown| . 681931)
+ (|pushup| . 680318) (|reducedDiscriminant| . 680003)
+ (|idealSimplify| . 679747) (|definingInequation| . 679491)
+ (|definingEquations| . 679200) (|setStatus| . 678887)
+ (|quasiAlgebraicSet| . 678593) (|radicalSimplify| . 678065)
+ (|random| . 676734) (|denominator| . 676480) (|numerator| . 676236)
+ (|denom| . 674775) (|numer| . 673294) (|quadraticForm| . 673122)
+ (|back| . 673031) (|front| . 672940) (|rotate!| . 672849)
+ (|dequeue!| . 672758) (|enqueue!| . 672664) (|quatern| . 672542)
+ (|imagK| . 672320) (|imagJ| . 672098) (|imagI| . 671876)
+ (|conjugate| . 671337) (|queue| . 671215) (|nthRoot| . 670789)
+ (|fractRadix| . 670654) (|wholeRadix| . 670522) (|cycleRagits| . 670390)
+ (|prefixRagits| . 670258) (|fractRagits| . 670124) (|wholeRagits| . 669992)
+ (|radix| . 669830) (|randnum| . 669653) (|reseed| . 669530) (|seed| . 669442)
+ (|rational| . 667959) (|rational?| . 666607) (|rationalIfCan| . 665124)
+ (|setvalue!| . 664968) (|setchildren!| . 664777) (|node?| . 664612)
+ (|child?| . 664447) (|distance| . 664314) (|leaves| . 664184)
+ (|nodes| . 664054) (|rename| . 663958) (|rename!| . 663862)
+ (|mainValue| . 663737) (|mainDefiningPolynomial| . 663612)
+ (|mainForm| . 663506) (|sqrt| . 662992) (|rischDE| . 661915)
+ (|rischDEsys| . 661059) (|monomRDE| . 660590) (|baseRDE| . 660197)
+ (|polyRDE| . 659583) (|monomRDEsys| . 659076) (|baseRDEsys| . 658708)
+ (|weighted| . 658483) (|rdHack1| . 658227) (|midpoint| . 657958)
+ (|midpoints| . 657633) (|realZeros| . 655068)
+ (|mainCharacterization| . 654710) (|algebraicOf| . 654328)
+ (|ReduceOrder| . 653878) (|setref| . 653791) (|deref| . 653709)
+ (|ref| . 653627) (= . 653197) (|radicalEigenvectors| . 652804)
+ (|radicalEigenvector| . 652543) (|radicalEigenvalues| . 652346)
+ (|eigenMatrix| . 652142) (|normalise| . 652017) (|gramschmidt| . 651883)
+ (|orthonormalBasis| . 651675) (|antisymmetricTensors| . 651215)
+ (|createGenericMatrix| . 651013) (|symmetricTensors| . 650646)
+ (|tensorProduct| . 650092) (|permutationRepresentation| . 649228)
+ (|completeEchelonBasis| . 649046) (|createRandomElement| . 648863)
+ (|cyclicSubmodule| . 648587) (|standardBasisOfCyclicSubmodule| . 648329)
+ (|areEquivalent?| . 647593) (|isAbsolutelyIrreducible?| . 647145)
+ (|meatAxe| . 645933) (|scanOneDimSubspaces| . 645651) (|double| . 645399)
+ (|expt| . 645147) (|lift| . 643261) (|solveRetract| . 642884)
+ (|variables| . 640774) (|mainVariable| . 639885) (|univariate| . 636631)
+ (|multivariate| . 634617) (|uniform01| . 634525) (|normal01| . 634433)
+ (|exponential1| . 634341) (|chiSquare1| . 634200) (|normal| . 634057)
+ (|exponential| . 633692) (|chiSquare| . 633532) (F . 633369) (|t| . 633209)
+ (|factorFraction| . 632969) (|componentUpperBound| . 632866) (|blue| . 632723)
+ (|green| . 632580) (|red| . 632437) (|whitePoint| . 632334)
+ (|uniform| . 631857) (|binomial| . 631262) (|poisson| . 631111)
+ (|geometric| . 630960) (|ridHack1| . 630845) (|interpolate| . 630115)
+ (|nullSpace| . 628165) (|nullity| . 626838) (|rank| . 624009)
+ (|rowEchelon| . 622183) (|column| . 621649) (|row| . 621115) (|qelt| . 620264)
+ (|ncols| . 619714) (|nrows| . 619164) (|maxColIndex| . 618636)
+ (|minColIndex| . 618108) (|maxRowIndex| . 617580) (|minRowIndex| . 617052)
+ (|antisymmetric?| . 616544) (|symmetric?| . 616036) (|diagonal?| . 615528)
+ (|square?| . 615020) (|matrix| . 613898) (|rectangularMatrix| . 613675)
+ (|annihilate?| . 613596) (|characteristic| . 611709) (|round| . 611654)
+ (|fractionPart| . 610983) (|wholePart| . 610520) (|floor| . 610303)
+ (|ceiling| . 610086) (|norm| . 606222) (|mightHaveRoots| . 605975)
+ (|refine| . 604073) (|middle| . 603864) (|size| . 601861) (|right| . 601244)
+ (|left| . 600627) (|roman| . 600462) (|mainSquareFreePart| . 600227)
+ (|mainPrimitivePart| . 599992) (|mainContent| . 599757)
+ (|primitivePart!| . 599522) (|gcd| . 597232) (|nextsubResultant2| . 596983)
+ (|LazardQuotient2| . 596688) (|LazardQuotient| . 596396)
+ (|subResultantChain| . 596118) (|halfExtendedSubResultantGcd2| . 595536)
+ (|halfExtendedSubResultantGcd1| . 594954) (|extendedSubResultantGcd| . 594329)
+ (|exactQuotient!| . 593845) (|exactQuotient| . 593361)
+ (|primPartElseUnitCanonical!| . 593121) (|primPartElseUnitCanonical| . 592881)
+ (|retract| . 590344) (|retractIfCan| . 587356) (|lazyResidueClass| . 586751)
+ (|monicModulo| . 586433) (|lazyPseudoDivide| . 585413)
+ (|lazyPremWithDefault| . 584736) (|lazyPquo| . 584323) (|lazyPrem| . 583910)
+ (|pquo| . 583497) (|prem| . 583084) (|supRittWu?| . 582850)
+ (|RittWuCompare| . 582614) (|mainMonomials| . 582383)
+ (|mainCoefficients| . 582152) (|leastMonomial| . 581949)
+ (|mainMonomial| . 581746) (|quasiMonic?| . 581515) (|monic?| . 581082)
+ (|leadingCoefficient| . 578801) (|deepestInitial| . 578598)
+ (|iteratedInitials| . 578367) (|deepestTail| . 578164) (|head| . 577697)
+ (|mdeg| . 577448) (|mvar| . 576981) (|iterators| . 576800)
+ (|relativeApprox| . 576190) (|rootOf| . 574652) (|allRootsOf| . 573527)
+ (|definingPolynomial| . 572475) (|positive?| . 571896) (|negative?| . 571318)
+ (|zero?| . 570630) (|augment| . 569288) (|lastSubResultant| . 568352)
+ (|lastSubResultantElseSplit| . 568013) (|invertibleSet| . 567690)
+ (|invertible?| . 566989) (|invertibleElseSplit?| . 566644)
+ (|purelyAlgebraicLeadingMonomial?| . 566321)
+ (|algebraicCoefficients?| . 565998) (|purelyTranscendental?| . 565675)
+ (|purelyAlgebraic?| . 565034) (|prepareSubResAlgo| . 564578)
+ (|internalLastSubResultant| . 563578) (|integralLastSubResultant| . 563139)
+ (|toseLastSubResultant| . 562700) (|toseInvertible?| . 561853)
+ (|toseInvertibleSet| . 561457) (|toseSquareFreePart| . 561021)
+ (|expression| . 560544) (|quotedOperators| . 560083) (|pattern| . 559658)
+ (|suchThat| . 557441) (|rule| . 556562) (|rules| . 556091)
+ (|ruleset| . 555620) (|rur| . 553705) (|create| . 553650)
+ (|clearCache| . 553528) (|cache| . 553403) (|enterInCache| . 553110)
+ (|currentCategoryFrame| . 553071) (|currentScope| . 553032)
+ (|pushNewContour| . 552953) (|findBinding| . 552695) (|contours| . 552608)
+ (|structuralConstants| . 551263) (|coordinates| . 548591) (|bounds| . 548499)
+ (|equation| . 547965) (|incr| . 547838) (|high| . 547746) (|low| . 547654)
+ (|hi| . 547562) (|lo| . 547470) (BY . 547340) (|body| . 546420)
+ (|union| . 545767) (|subset?| . 545633) (|symmetricDifference| . 545527)
+ (|difference| . 545317) (|intersect| . 543291) (|set| . 543062)
+ (|brace| . 542695) (|part?| . 542561) (|latex| . 542476) (|hash| . 542384)
+ (|delta| . 542175) (|member?| . 541658) (|enumerate| . 541446)
+ (|setOfMinN| . 541246) (|elements| . 540954) (|replaceKthElement| . 540789)
+ (|incrementKthElement| . 540627) (|cdr| . 540355) (|car| . 540083)
+ (|expr| . 539811) (|float| . 539303) (|integer| . 538893) (|symbol| . 538621)
+ (|destruct| . 538101) (|float?| . 537801) (|integer?| . 537266)
+ (|symbol?| . 536844) (|string?| . 536544) (|list?| . 536244)
+ (|pair?| . 535944) (|atom?| . 535644) (|null?| . 535344) (|eq| . 534955)
+ (|startTable!| . 534119) (|stopTable!| . 533355)
+ (|supDimElseRittWu?| . 532573) (|algebraicSort| . 531797)
+ (|moreAlgebraic?| . 531015) (|subTriSet?| . 530233) (|subPolSet?| . 529395)
+ (|internalSubPolSet?| . 528557) (|internalInfRittWu?| . 527719)
+ (|internalSubQuasiComponent?| . 526965) (|subQuasiComponent?| . 525333)
+ (|removeSuperfluousQuasiComponents| . 524557) (|subCase?| . 523639)
+ (|removeSuperfluousCases| . 522807) (|prepareDecompose| . 521601)
+ (|branchIfCan| . 520567) (|startTableGcd!| . 519705)
+ (|stopTableGcd!| . 518915) (|startTableInvSet!| . 518053)
+ (|stopTableInvSet!| . 517263) (|stosePrepareSubResAlgo| . 516789)
+ (|stoseInternalLastSubResultant| . 515757)
+ (|stoseIntegralLastSubResultant| . 515300) (|stoseLastSubResultant| . 514843)
+ (|stoseInvertible?sqfreg| . 514372) (|stoseInvertibleSetsqfreg| . 513958)
+ (|stoseInvertible?reg| . 513487) (|stoseInvertibleSetreg| . 513073)
+ (|stoseInvertible?| . 512190) (|stoseInvertibleSet| . 511776)
+ (|stoseSquareFreePart| . 511322) (|coleman| . 511146)
+ (|inverseColeman| . 510970) (|listYoungTableaus| . 510783)
+ (|makeYoungTableau| . 510558) (|nextColeman| . 510382)
+ (|nextLatticePermutation| . 510172) (|nextPartition| . 509815)
+ (|numberOfImproperPartitions| . 509697) (|subSet| . 509532)
+ (|unrankImproperPartitions0| . 509367) (|unrankImproperPartitions1| . 509202)
+ (|semiGroupOperation| . 509060) (|subresultantSequence| . 508794)
+ (|SturmHabichtSequence| . 508528) (|SturmHabichtCoefficients| . 508290)
+ (|SturmHabicht| . 508052) (|countRealRoots| . 507817)
+ (|SturmHabichtMultiple| . 507540) (|countRealRootsMultiple| . 507266)
+ (|source| . 507086) (|target| . 506691) (|signature| . 506212)
+ (|signatureAst| . 506084) (|xor| . 505934) (|depth| . 505664) (|top| . 505573)
+ (|pop!| . 505482) (|push!| . 505388) (|map!| . 505235) (|minordet| . 504423)
+ (|determinant| . 503327) (|diagonalProduct| . 502685) (|trace| . 501784)
+ (|diagonal| . 501557) (|diagonalMatrix| . 500710) (|scalarMatrix| . 500231)
+ (|hermite| . 499778) (|completeHermite| . 499430) (|smith| . 499152)
+ (|completeSmith| . 498772) (|diophantineSystem| . 498364) (|csubst| . 498006)
+ (|particularSolution| . 496836) (|mapSolve| . 496293) (|linear| . 495610)
+ (|quadratic| . 494924) (|cubic| . 494235) (|quartic| . 493543)
+ (|aLinear| . 493230) (|aQuadratic| . 492914) (|aCubic| . 492595)
+ (|aQuartic| . 492273) (|radicalSolve| . 489909) (|radicalRoots| . 489314)
+ (|contractSolve| . 488571) (|decomposeFunc| . 488365) (|unvectorise| . 487879)
+ (|bubbleSort!| . 487197) (|insertionSort!| . 486515) (|check| . 485989)
+ (|objects| . 485640) (|lprop| . 485483) (|llprop| . 485317) (|lllp| . 485159)
+ (|lllip| . 484991) (|lp| . 484851) (|mesh?| . 484721) (|mesh| . 483315)
+ (|polygon?| . 483185) (|polygon| . 482626) (|closedCurve?| . 482496)
+ (|closedCurve| . 481937) (|curve?| . 481807) (|curve| . 481053)
+ (|point?| . 480923) (|enterPointData| . 480734) (|composites| . 480604)
+ (|components| . 480474) (|numberOfComposites| . 480333)
+ (|numberOfComponents| . 479514) (|create3Space| . 479288) (|parse| . 479163)
+ (|outputAsFortran| . 478744) (|outputAsScript| . 478481)
+ (|outputAsTex| . 478218) (|abs| . 477470) (|Beta| . 476792)
+ (|digamma| . 476336) (|polygamma| . 475783) (|Gamma| . 475051)
+ (|besselJ| . 474583) (|besselY| . 474115) (|besselI| . 473647)
+ (|besselK| . 473179) (|airyAi| . 472723) (|airyBi| . 472267)
+ (|subNode?| . 471988) (|infLex?| . 471658) (|setEmpty!| . 471466)
+ (|setStatus!| . 471243) (|setCondition!| . 471048) (|setValue!| . 470853)
+ (|copy| . 470271) (|status| . 469768) (|value| . 469238) (|empty?| . 468649)
+ (|splitNodeOf!| . 468087) (|remove!| . 466722) (|remove| . 465664)
+ (|subNodeOf?| . 465338) (|nodeOf?| . 465068) (|result| . 464801)
+ (|conditions| . 464581) (|updateStatus!| . 464389)
+ (|extractSplittingLeaf| . 464195) (|squareMatrix| . 464024)
+ (|transpose| . 463095) (|rightTrim| . 462895) (|leftTrim| . 462695)
+ (|trim| . 462495) (|split| . 460265) (|position| . 459306)
+ (|replace| . 459182) (|match?| . 459049) (|match| . 457596)
+ (|substring?| . 457465) (|suffix?| . 457372) (|prefix?| . 457279)
+ (|upperCase!| . 457225) (|upperCase| . 457081) (|lowerCase!| . 457027)
+ (|lowerCase| . 456883) (|KrullNumber| . 455931) (|numberOfVariables| . 454979)
+ (|algebraicDecompose| . 453767) (|transcendentalDecompose| . 451323)
+ (|internalDecompose| . 447540) (|decompose| . 444306)
+ (|upDateBranches| . 442872) (|printInfo| . 441868) (|preprocess| . 440802)
+ (|internalZeroSetSplit| . 439952) (|internalAugment| . 438547)
+ (|stack| . 438432) (|size?| . 438256) (|possiblyInfinite?| . 438129)
+ (|explicitlyFinite?| . 438002) (|nextItem| . 437915) (|init| . 437667)
+ (|step| . 437589) (|upperBound| . 437499) (|lowerBound| . 437421)
+ (|iterationVar| . 437263) (|infiniteProduct| . 436280)
+ (|evenInfiniteProduct| . 435297) (|oddInfiniteProduct| . 434314)
+ (|generalInfiniteProduct| . 433208) (|filterUntil| . 432935)
+ (|filterWhile| . 432662) (|generate| . 432134) (|showAll?| . 431987)
+ (|showAllElements| . 431834) (|output| . 431228) (|cons| . 431068)
+ (|delay| . 430938) (|findCycle| . 430674) (|repeating?| . 430486)
+ (|repeating| . 430370) (|exquo| . 428793) (|recip| . 426694)
+ (|integers| . 426510) (|oddintegers| . 426326) (|int| . 425490)
+ (|mapmult| . 425347) (|deriv| . 425207) (|gderiv| . 425014)
+ (|compose| . 424703) (|addiag| . 424515) (|lazyIntegrate| . 424261)
+ (|nlde| . 424011) (|powern| . 423787) (|mapdiv| . 423609)
+ (|lazyGintegrate| . 423336) (|power| . 423158) (|sincos| . 422903)
+ (|sinhcosh| . 422638) (|asin| . 421350) (|acos| . 420062) (|atan| . 418682)
+ (|acot| . 417394) (|asec| . 416106) (|acsc| . 414818) (|sinh| . 413536)
+ (|cosh| . 412254) (|tanh| . 410972) (|coth| . 409690) (|sech| . 408408)
+ (|csch| . 407126) (|asinh| . 405841) (|acosh| . 404556) (|atanh| . 403271)
+ (|acoth| . 401986) (|asech| . 400701) (|acsch| . 399416)
+ (|subresultantVector| . 399193) (|primitivePart| . 397918)
+ (|pointData| . 397753) (|parent| . 397626) (|level| . 397377)
+ (|extractProperty| . 397197) (|extractClosed| . 397042)
+ (|extractIndex| . 396869) (|extractPoint| . 396713) (|traverse| . 396528)
+ (|defineProperty| . 396287) (|closeComponent| . 396071)
+ (|modifyPoint| . 395416) (|addPointLast| . 395205) (|addPoint2| . 395046)
+ (|addPoint| . 394394) (|merge| . 393450) (|deepCopy| . 393323)
+ (|shallowCopy| . 393196) (|numberOfChildren| . 393023) (|children| . 392717)
+ (|child| . 392541) (|birth| . 392414) (|internal?| . 392259)
+ (|root?| . 392104) (|leaf?| . 391821) (|rhs| . 390815) (|lhs| . 389809)
+ (|construct| . 384954) (|predicate| . 384657) (|sum| . 381477)
+ (|outputForm| . 380476) (|list| . 380301) (|string| . 379678)
+ (|argscript| . 379584) (|superscript| . 379490) (|subscript| . 379396)
+ (|script| . 378954) (|scripts| . 378527) (|scripted?| . 378450)
+ (|name| . 377366) (|resetNew| . 377295) (|symFunc| . 376963)
+ (|symbolTableOf| . 376835) (|argumentListOf| . 376703)
+ (|returnTypeOf| . 376512) (|printHeader| . 376198) (|returnType!| . 375596)
+ (|argumentList!| . 375156) (|endSubProgram| . 375075)
+ (|currentSubProgram| . 374994) (|newSubProgram| . 374876)
+ (|clearTheSymbolTable| . 374681) (|showTheSymbolTable| . 374633)
+ (|symbolTable| . 374478) (|printTypes| . 374283) (|newTypeLists| . 374195)
+ (|typeLists| . 373876) (|externalList| . 373784) (|typeList| . 373411)
+ (|parametersOf| . 373319) (|fortranTypeOf| . 373194) (|declare!| . 372376)
+ (|empty| . 371682) (|case| . 365564) (|compound?| . 365487)
+ (|getOperands| . 365274) (|getOperator| . 365015) (|nil?| . 364938)
+ (|buildSyntax| . 364722) (|autoCoerce| . 361212) (|solve| . 344140)
+ (|triangularSystems| . 343869) (|loadNativeModule| . 343759)
+ (|nativeModuleExtension| . 343686) (|hostByteOrder| . 343610)
+ (|hostPlatform| . 343537) (|rootDirectory| . 343464) (|bumprow| . 343144)
+ (|bumptab| . 342901) (|bumptab1| . 342714) (|untab| . 342518)
+ (|bat1| . 342318) (|bat| . 342131) (|tab1| . 341931) (|tab| . 341760)
+ (|lex| . 341620) (|slex| . 341452) (|inverse| . 339623) (|maxrow| . 339285)
+ (|mr| . 338937) (|tableau| . 338804) (|listOfLists| . 338147)
+ (|operator| . 335804) (|tanSum| . 335676) (|tanAn| . 335480)
+ (|tanNa| . 335349) (|table| . 334995) (|initTable!| . 334813)
+ (|printInfo!| . 334598) (|startStats!| . 334386) (|printStats!| . 334204)
+ (|clearTable!| . 334022) (|usingTable?| . 333837) (|printingInfo?| . 333652)
+ (|makingStats?| . 333467) (|extractIfCan| . 333305) (|insert!| . 332365)
+ (|setPrologue!| . 332272) (|setTex!| . 332179) (|setEpilogue!| . 332086)
+ (|prologue| . 331996) (|new| . 330595) (|tex| . 330505) (|epilogue| . 330415)
+ (|display| . 329244) (|endOfFile?| . 329165) (|readIfCan!| . 328978)
+ (|readLineIfCan!| . 328888) (|readLine!| . 328810) (|writeLine!| . 328653)
+ (|sign| . 325825) (|nonQsign| . 325697) (|direction| . 325548)
+ (|createThreeSpace| . 325434) (|pi| . 325151) (|cyclicParents| . 325021)
+ (|cyclicEqual?| . 324897) (|cyclicEntries| . 324767) (|cyclicCopy| . 324681)
+ (|tree| . 324345) (|cyclic?| . 324096) (|cos| . 322709) (|cot| . 321424)
+ (|csc| . 320139) (|sec| . 318854) (|sin| . 317467) (|tan| . 316182)
+ (|complexNormalize| . 314493) (|complexElementary| . 312804)
+ (|trigs| . 312027) (|real| . 310885) (|imag| . 309963) (|real?| . 309036)
+ (|complexForm| . 308176) (|UpTriBddDenomInv| . 307885)
+ (|LowTriBddDenomInv| . 307594) (|simplify| . 306649) (|htrigs| . 306392)
+ (|simplifyExp| . 306135) (|simplifyLog| . 305878) (|expandPower| . 305621)
+ (|expandLog| . 305364) (|cos2sec| . 305107) (|cosh2sech| . 304850)
+ (|cot2trig| . 304593) (|coth2trigh| . 304336) (|csc2sin| . 304079)
+ (|csch2sinh| . 303822) (|sec2cos| . 303565) (|sech2cosh| . 303308)
+ (|sin2csc| . 303051) (|sinh2csch| . 302794) (|tan2trig| . 302537)
+ (|tanh2trigh| . 302280) (|tan2cot| . 302023) (|tanh2coth| . 301766)
+ (|cot2tan| . 301509) (|coth2tanh| . 301252) (|removeCosSq| . 300995)
+ (|removeSinSq| . 300738) (|removeCoshSq| . 300481) (|removeSinhSq| . 300224)
+ (|expandTrigProducts| . 299753) (|fintegrate| . 299135)
+ (|coefficient| . 295891) (|coHeight| . 295533) (|extendIfCan| . 295253)
+ (|algebraicVariables| . 294935) (|zeroSetSplitIntoTriangularSystems| . 294524)
+ (|zeroSetSplit| . 290117) (|reduceByQuasiMonic| . 289831)
+ (|collectQuasiMonic| . 289548) (|removeZero| . 289262)
+ (|initiallyReduce| . 288772) (|headReduce| . 288282)
+ (|stronglyReduce| . 287996) (|rewriteSetWithReduction| . 287579)
+ (|autoReduced?| . 287196) (|initiallyReduced?| . 286060)
+ (|headReduced?| . 284924) (|stronglyReduced?| . 284287) (|reduced?| . 283411)
+ (|normalized?| . 282275) (|quasiComponent| . 281899) (|initials| . 281581)
+ (|basicSet| . 280676) (|infRittWu?| . 279287) (|getCurve| . 279174)
+ (|listLoops| . 278994) (|closed?| . 278750) (|open?| . 278609)
+ (|setClosed| . 278465) (|tube| . 278028) (|point| . 276933)
+ (|unitVector| . 276073) (|cosSinInfo| . 275923) (|loopPoints| . 275690)
+ (|select| . 274804) (|generalTwoFactor| . 274481) (|generalSqFr| . 274158)
+ (|twoFactor| . 273804) (|setOrder| . 273453) (|getOrder| . 273263)
+ (|less?| . 272734) (|userOrdered?| . 272587) (|largest| . 272200)
+ (|more?| . 271840) (|setVariableOrder| . 271559) (|getVariableOrder| . 271374)
+ (|resetVariableOrder| . 271273) (|prime?| . 270294) (|sample| . 269419)
+ (|bitior| . 269086) (|bitand| . 268753) (|rationalFunction| . 268264)
+ (|taylorIfCan| . 268067) (|taylor| . 262903) (|removeZeroes| . 261729)
+ (|taylorRep| . 261537) (|factor| . 248774) (|factorSquareFree| . 247031)
+ (|henselFact| . 246265) (|hasHi| . 246139) (|segment| . 245694)
+ (SEGMENT . 245417) (|fmecg| . 244422) (|commonDenominator| . 243461)
+ (|clearDenominator| . 242470) (|splitDenominator| . 240648)
+ (|monicRightFactorIfCan| . 240373) (|rightFactorIfCan| . 240095)
+ (|leftFactorIfCan| . 239859) (|monicDecomposeIfCan| . 239563)
+ (|monicCompleteDecompose| . 239300) (|divideIfCan| . 239033)
+ (|noKaratsuba| . 238843) (|karatsubaOnce| . 238653) (|karatsuba| . 238418)
+ (|separate| . 237642) (|pseudoDivide| . 236833) (|pseudoQuotient| . 236681)
+ (|composite| . 236204) (|subResultantGcd| . 235631) (|resultant| . 234821)
+ (|discriminant| . 233295) (|differentiate| . 231204)
+ (|pseudoRemainder| . 231089) (|shiftLeft| . 230928) (|shiftRight| . 230767)
+ (|karatsubaDivide| . 230538) (|monicDivide| . 230075)
+ (|divideExponents| . 229912) (|unmakeSUP| . 229743) (|makeSUP| . 229574)
+ (|vectorise| . 229383) (|eval| . 222403) (|extend| . 219915)
+ (|approximate| . 218659) (|truncate| . 218281) (|order| . 213533)
+ (|center| . 212959) (|terms| . 212073) (|squareFreePart| . 211087)
+ (|BumInSepFFE| . 210650) (|multiplyExponents| . 210122)
+ (|laurentIfCan| . 209924) (|laurent| . 205744) (|laurentRep| . 205551)
+ (|rationalPower| . 205310) (|puiseux| . 201129) (|dominantTerm| . 200139)
+ (|limitPlus| . 199022) (|split!| . 198819) (|setlast!| . 198651)
+ (|setrest!| . 198363) (|setelt| . 196130) (|setfirst!| . 195962)
+ (|cycleSplit!| . 195797) (|concat!| . 195079) (|cycleTail| . 194972)
+ (|cycleLength| . 194826) (|cycleEntry| . 194719) (|third| . 194612)
+ (|second| . 194391) (|tail| . 193980) (|last| . 193261) (|rest| . 192421)
+ (|elt| . 184870) (|first| . 183702) (|concat| . 182913)
+ (|invmultisect| . 182541) (|multisect| . 182169) (|revert| . 181879)
+ (|generalLambert| . 181507) (|evenlambert| . 181217) (|oddlambert| . 180927)
+ (|lambert| . 180637) (|lagrange| . 180347) (|univariatePolynomial| . 179833)
+ (|integrate| . 168294) (** . 162445) (|polynomial| . 161567)
+ (|multiplyCoefficients| . 161076) (|quoByVar| . 160962)
+ (|coefficients| . 160053) (|series| . 152618) (|stFunc1| . 152307)
+ (|stFunc2| . 151979) (|stFuncN| . 151650) (|fixedPointExquo| . 151440)
+ (|ode1| . 151189) (|ode2| . 150932) (|ode| . 150644) (|mpsode| . 150305)
+ (UP2UTS . 150004) (UTS2UP . 149661) (LODO2FUN . 149310) (RF2UTS . 148933)
+ (|variable| . 148017) (|magnitude| . 147854) (|length| . 146391)
+ (|cross| . 146064) (|outerProduct| . 145906) (|dot| . 145362) (- . 143102)
+ (|zero| . 142670) (+ . 140351) (|vector| . 140235) (|scan| . 138036)
+ (|reduce| . 131196) (|map| . 106269) (|graphCurves| . 105619)
+ (|drawCurves| . 105087) (|update| . 104915) (|show| . 104747)
+ (|scale| . 104219) (|connect| . 104051) (|region| . 103883)
+ (|points| . 103715) (|units| . 103046) (|getGraph| . 102902)
+ (|putGraph| . 102730) (|graphs| . 102419) (|graphStates| . 101878)
+ (|graphState| . 101609) (|makeViewport2D| . 101404) (|viewport2D| . 101348)
+ (|getPickedPoints| . 101223) (|key| . 100947) (|close| . 100657)
+ (|write| . 99967) (|colorDef| . 99834) (|reset| . 99650) (|intensity| . 99520)
+ (|lighting| . 99384) (|clipSurface| . 99253) (|showClipRegion| . 99122)
+ (|showRegion| . 98991) (|hitherPlane| . 98861) (|eyeDistance| . 98731)
+ (|perspective| . 98600) (|translate| . 98124) (|zoom| . 97567)
+ (|rotate| . 97301) (|drawStyle| . 97170) (|outlineRender| . 97039)
+ (|diagonals| . 96908) (|axes| . 96444) (|controlPanel| . 96186)
+ (|viewpoint| . 93999) (|dimensions| . 93613) (|title| . 93137)
+ (|resize| . 92855) (|move| . 92567) (|options| . 92107)
+ (|modifyPointData| . 91738) (|subspace| . 91235) (|makeViewport3D| . 90845)
+ (|viewport3D| . 90787) (|viewDeltaYDefault| . 90602)
+ (|viewDeltaXDefault| . 90417) (|viewZoomDefault| . 90232)
+ (|viewPhiDefault| . 90047) (|viewThetaDefault| . 89862)
+ (|pointColorDefault| . 89683) (|lineColorDefault| . 89504)
+ (|axesColorDefault| . 89325) (|unitsColorDefault| . 89146)
+ (|pointSizeDefault| . 88937) (|viewPosDefault| . 88704)
+ (|viewSizeDefault| . 88477) (|viewDefaults| . 88391)
+ (|viewWriteDefault| . 88182) (|viewWriteAvailable| . 88078)
+ (|var1StepsDefault| . 87869) (|var2StepsDefault| . 87660)
+ (|tubePointsDefault| . 87451) (|tubeRadiusDefault| . 87224) (|void| . 87186)
+ (|dimension| . 85682) (|crest| . 85430) (|cfirst| . 85178)
+ (|sts2stst| . 84928) (|clikeUniv| . 84660) (|weierstrass| . 84430)
+ (|qqq| . 84144) (|integralBasis| . 82082) (|localIntegralBasis| . 80335)
+ (|qualifier| . 80256) (|mainExpression| . 80177) (|condition| . 79834)
+ (|changeWeightLevel| . 79145) (|characteristicSerie| . 78268)
+ (|characteristicSet| . 77561) (|medialSet| . 76854) (|Hausdorff| . 76559)
+ (|Frobenius| . 75906) (|transcendenceDegree| . 75559)
+ (|extensionDegree| . 74811) (|inGroundField?| . 74684)
+ (|transcendent?| . 74557) (|algebraic?| . 74111) (|varList| . 72924)
+ (|sh| . 72520) (|mirror| . 71770) (|monomial?| . 70774) (|monom| . 70280)
+ (|rquo| . 69403) (|lquo| . 68526) (|mindegTerm| . 68304) (|log| . 65893)
+ (|exp| . 63580) (|product| . 62424) (|LiePolyIfCan| . 62034)
+ (|coerce| . 45955) (|trunc| . 45579) (|degree| . 41157) (/ . 37324)
+ (|quasiRegular| . 37058) (|quasiRegular?| . 36729) (|constant| . 35944)
+ (|constant?| . 35402) (|coef| . 34749) (|mindeg| . 34435) (|maxdeg| . 34118)
+ (|#| . 33308) (|reductum| . 31131) (* . 23431) (|RemainderList| . 23017)
+ (|unexpand| . 22675) (|expand| . 20495) (|shape| . 20408)
+ (|youngDiagram| . 20299) (Y . 19838) (|triangSolve| . 18514)
+ (|univariateSolve| . 15694) (|realSolve| . 13158) (|positiveSolve| . 11340)
+ (|squareFree| . 8213) (|convert| . 795) (|linearlyDependentOverZ?| . 518)
+ (|linearDependenceOverZ| . 282) (|solveLinearlyOverQ| . 30)) \ No newline at end of file