File: operation.daase

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axiom 20170501-6
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file content (3343 lines) | stat: -rw-r--r-- 1,662,709 bytes
parent folder | download | duplicates (3)

(1580217 . 3683892815)       
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|InputForm|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|InputForm|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|IntegralBasisTools| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |gcd| (|NewSparseUnivariatePolynomial| *3)) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |gcd| *1) (|:| |coef1| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *1 (|MappingPackageInternalHacks2| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpertSystemContinuityPackage1| *4 *5)) (|ofType| *4 *3) (|ofType| *5 *3))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *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 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|RealClosedField|)) (|isDomain| *2 (|List| (|SimpleCell| *5 *6))) (|isDomain| *1 (|SimpleCell| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|RealClosedField|)) (|isDomain| *2 (|List| (|SimpleCell| *5 *3))) (|isDomain| *1 (|SimpleCell| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|None|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|InputForm|))))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *9)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *8)) (|isDomain| *4 (|List| *9)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|FlexibleArray| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IndexedFlexibleArray| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofType| *4 *2)))) 
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(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|EuclideanDomain|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|NPCoef| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *7))) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *4 *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|PolynomialFactorizationExplicit|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|PolynomialFactorizationByRecursionUnivariate| *4 *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *1 (|DesingTreeCategory| *3)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|DesingTreeCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|DesingTreeCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Tree| *3)))) ((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| (|Tree| *2))) (|isDomain| *1 (|Tree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |subResultant| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *1 *2 *2 *2 *2 *2 *2 *2 *2) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Quaternion| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *1 (|Octonion| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Record| (|:| |num| (|Vector| *4)) (|:| |den| *4)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|DoubleFloat|))) (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *5)))) (|isDomain| *1 (|TwoFactorize| *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *5)))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|Boolean|)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *7 *8 *9)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *7 *8 *9 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *7 *8 *9 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|Boolean|)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|OrderedAbelianMonoidSup|)) (|ofCategory| *9 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *7 *8 *9)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *7 *8 *9 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *7 *8 *9 *3)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *6 *7 *8)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *6 *7 *8 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *6 *7 *8 *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |done| (|List| *4)) (|:| |todo| (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))))) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Mapping| *5 *4)) (|isDomain| *1 (|MappingPackage2| *4 *5)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|ofType| *5 (|NonNegativeInteger|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|PackageForPoly| *2 *3 *4 *5)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *2 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAssertions| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PatternMatchAssertions|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *2)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|GcdDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Polynomial| *4))) (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *1 (|PolyGroebner| *4))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SubSpaceComponentProperty|))))) 
(((*1 *2 *3 *4 *3) (|partial| AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |ratpart| *3) (|:| |coeff| *3))) (|isDomain| *1 (|ElementaryIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FunctionSpaceReduce| *3 *4)) (|ofCategory| *4 (|FunctionSpace| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Partition|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|List| (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| *4)) (|SuchThat| (|Symbol|) (|Polynomial| *4)))) (|:| |eigmult| (|NonNegativeInteger|)) (|:| |eigvec| (|List| (|Matrix| (|Fraction| (|Polynomial| *4)))))))) (|isDomain| *1 (|EigenPackage| *4)) (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *4))))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *2 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|ContinuedFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|SingleInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Complex| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|LyndonWord| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|Field|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|ofCategory| *9 (|LocalPowerSeriesCategory| *6)) (|isDomain| *2 (|List| *9)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *6 *7 *4 *8 *3 *9 *10)) (|ofCategory| *4 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *3 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *10 (|PlacesCategory| *6 *9))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ListMultiDictionary| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Table| (|Symbol|) (|BasicStochasticDifferential|))) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| *3)) (|isDomain| *1 (|MappingPackage1| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2) (AND (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|RandomFloatDistributions|))))) 
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(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
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(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3))))) 
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(((*1 *2 *2 *2 *3) (AND (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *2 *3)) (|ofCategory| *2 (|Type|)) (|ofCategory| *3 (|Type|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stream| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|Type|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|))))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|TaylorSeries| *5))) (|isDomain| *1 (|WeierstrassPreparation| *5)) (|isDomain| *4 (|TaylorSeries| *5))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *3)) (|ofCategory| *3 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OrderedRing|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *4 *3)) (|ofCategory| *4 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |llcmres| *1) (|:| |coeff1| *1) (|:| |coeff2| *1))) (|ofCategory| *1 (|LeftOreRing|))))) 
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(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|OpenMathPackage|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerRetractions| *3)) (|ofCategory| *3 (|RetractableTo| *2))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (|isDomain| *1 (|IntegrationFunctionsTable|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|List| *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AlgFactor| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|AlgebraicNumber|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|AbelianGroup|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|CyclotomicPolynomialPackage|)) (|isDomain| *3 (|Integer|)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|NumberTheoreticPolynomialFunctions| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|List| (|Polynomial| *3))) (|ofCategory| *3 (|GcdDomain|)) (|isDomain| *1 (|FGLMIfCanPackage| *3 *4)) (|ofType| *4 (|List| (|Symbol|))))) ((*1 *2 *2) (|partial| AND (|isDomain| *2 (|List| (|NewSparseMultivariatePolynomial| *3 (|OrderedVariableList| *4)))) (|ofCategory| *3 (|GcdDomain|)) (|ofType| *4 (|List| (|Symbol|))) (|isDomain| *1 (|LexTriangularPackage| *3 *4))))) 
(((*1 *2 *3 *3 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *3 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *3 *5))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|UnivariatePolynomial| *5 *4))) (|isDomain| *1 (|SturmHabichtPackage| *4 *5)) (|isDomain| *3 (|UnivariatePolynomial| *5 *4))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *3 (|Polynomial| (|Integer|))) (|isDomain| *5 (|List| (|Symbol|))) (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *2 *6)) (|ofCategory| *6 (|Type|)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|String|)) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
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(((*1 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Complex| *4)) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *3 *4)) (|ofCategory| *2 (|Type|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|IndexedAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2) (AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FunctionFieldCategory&| *3 *4 *5 *6)) (|ofCategory| *3 (|FunctionFieldCategory| *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Union| (|Boolean|) "failed")) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *4)) (|isDomain| *3 (|Mapping| *4 (|Integer|))) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 (|List| *5))) (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Mapping| (|Stream| *4) (|List| (|Stream| *4)))) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *5))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|FactoredFunctionUtilities| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|RealClosedField|)) (|isDomain| *2 (|List| (|Cell| *4))) (|isDomain| *1 (|CylindricalAlgebraicDecompositionPackage| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|RealClosedField|)) (|isDomain| *2 (|List| (|Cell| *5))) (|isDomain| *1 (|CylindricalAlgebraicDecompositionPackage| *5))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|ReductionOfOrder| *3 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *3)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Record| (|:| |eq| *3) (|:| |op| (|List| *5)))) (|isDomain| *1 (|ReductionOfOrder| *5 *3)) (|isDomain| *4 (|List| *5)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *2)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *2 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *5 *5 *6 *7 *8 *8 *3) (AND (|isDomain| *6 (|List| (|Boolean|))) (|isDomain| *7 (|Matrix| (|DoubleFloat|))) (|isDomain| *8 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DefiniteIntegrationTools| *4 *5)) (|ofCategory| *5 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *4)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|RetractableTo| *5) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|))) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *5 *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |radval| (|Expression| (|Integer|))) (|:| |radmult| (|Integer|)) (|:| |radvect| (|List| (|Matrix| (|Expression| (|Integer|)))))))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Integer|)) (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *6 *2)) (|ofCategory| *6 (|Type|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|PAdicIntegerCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *4 (|Permutation| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|IrrRepSymNatPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|List| (|Matrix| (|Integer|)))) (|isDomain| *1 (|IrrRepSymNatPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *4 (|List| (|Permutation| (|Integer|)))) (|isDomain| *2 (|List| (|Matrix| (|Integer|)))) (|isDomain| *1 (|IrrRepSymNatPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|CharacterClass|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Stream| (|DoubleFloat|))) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|Stream| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|Stream| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|BinaryTournament| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *2 *3 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *2 (|Join| (|IntegralDomain|) (|GcdDomain|))) (|isDomain| *1 (|FractionFreeFastGaussian| *2 *4)) (|ofCategory| *4 (|AbelianMonoidRing| *2 *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Set| (|Set| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|AlgebraicFunction| *4 *5)) (|ofCategory| *5 (|FunctionSpace| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CombinatorialFunction| *4 *5)) (|ofCategory| *5 (|FunctionSpace| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ElementaryFunction| *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|RadicalCategory|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpressionSpace&| *4)) (|ofCategory| *4 (|ExpressionSpace|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FunctionSpace&| *4 *5)) (|ofCategory| *4 (|FunctionSpace| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *5)) (|ofCategory| *5 (|FunctionSpace| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LiouvillianFunction| *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *2 *4 *5 *3)) (|ofCategory| *3 (|MatrixCategory| *2 *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2)) (|has| *2 (ATTRIBUTE (|commutative| "*"))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|UniversalSegment| (|Integer|))) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
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(((*1 *1 *2 *3) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|OpenMathEncoding|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Record| (|:| |high| (|List| (|Symbol|))) (|:| |low| (|List| (|Symbol|))))) (|isDomain| *1 (|UserDefinedVariableOrdering|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|SortedCache| *3)) (|ofCategory| *3 (|CachableSet|))))) 
(((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *3 (|IntegralDomain|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|DistributedMultivariatePolynomial| *3 *4)) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|ofType| *3 (|List| (|Symbol|))) (|isDomain| *1 (|GeneralDistributedMultivariatePolynomial| *3 *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|HomogeneousDistributedMultivariatePolynomial| *3 *4)) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|GaussianFactorizationPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|CachableSet|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|IntegerPrimesPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *4 *5 *3 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *4 *5 *3)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4 *5 *6 *2 *7 *8) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *11))) (|isDomain| *3 (|SparseUnivariatePolynomial| *11)) (|isDomain| *4 (|List| *10)) (|isDomain| *5 (|List| *8)) (|isDomain| *6 (|List| (|NonNegativeInteger|))) (|isDomain| *7 (|Vector| (|List| (|SparseUnivariatePolynomial| *8)))) (|ofCategory| *10 (|OrderedSet|)) (|ofCategory| *8 (|EuclideanDomain|)) (|ofCategory| *11 (|PolynomialCategory| *8 *9 *10)) (|ofCategory| *9 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|MultivariateLifting| *9 *10 *8 *11))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Vector| *5)) (|ofCategory| *5 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderingFunctions| *4 *5)) (|ofType| *4 (|NonNegativeInteger|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| (|List| *7) (|List| *7))) (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7))))) 
(((*1 *1 *2 *2 *1) (|partial| AND (|isDomain| *2 (|BasicStochasticDifferential|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|Matrix| *3))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Matrix| *3))) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *3))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *2 (|Record| (|:| |k| (|Integer|)) (|:| |c| *4))) (|isDomain| *1 (|NeitherSparseOrDensePowerSeries| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Integer|)) (|ofCategory| *6 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|LinearSystemFromPowerSeriesPackage| *5 *6))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|ConvertibleTo| (|Pattern| (|Integer|)))) (|ofCategory| *5 (|PatternMatchable| (|Integer|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|GcdDomain|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |special| *3) (|:| |integrand| *3))) (|isDomain| *1 (|PatternMatchIntegration| *5 *3)) (|ofCategory| *3 (|LiouvillianFunctionCategory|)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))))) ((*1 *2 *2 *3 *4 *4) (|partial| AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|OrderedCompletion| *2)) (|ofCategory| *2 (|SpecialFunctionCategory|)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|ConvertibleTo| (|Pattern| (|Integer|)))) (|ofCategory| *5 (|PatternMatchable| (|Integer|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|GcdDomain|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|PatternMatchIntegration| *5 *2))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3)))) ((*1 *1 *2) (AND (|ofCategory| *1 (|ListAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |k| (|OrderedFreeMonoid| *3)) (|:| |c| *4)))))) 
(((*1 *2 *3 *1) (|partial| AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *2))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|HeuGcd| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *1 (|PlacesCategory| *4 *5)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|LocalPowerSeriesCategory| *4)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *3 *1 *4 *4 *4 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|RegularTriangularSet| *5 *6 *7 *3))) (|isDomain| *1 (|RegularTriangularSet| *5 *6 *7 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *1 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *2 *3 *1 *4 *4 *4 *4 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|List| (|SquareFreeRegularTriangularSet| *5 *6 *7 *3))) (|isDomain| *1 (|SquareFreeRegularTriangularSet| *5 *6 *7 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Mapping| *5 *5)) (|ofCategory| *5 (|Field|)) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorsOps| *5 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *1 *2 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *1 (|FloatingPointSystem|)))) ((*1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|FloatingPointSystem|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *2 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1) (|isDomain| *1 (|Character|))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2) (|:| |xpnt| (|Integer|))))) (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|Factored| *2)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| *4) (|:| |pow| (|Integer|))))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|Factored| *4)) (|isDomain| *1 (|GaloisGroupFactorizer| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OpenMathDevice|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|OrderedFreeMonoid| *3)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|OrderedMonoid|)) (|isDomain| *1 (|XPolynomialRing| *3 *2)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *2 *3 *4 *5 *6 *7 *7 *8) (AND (|isDomain| *3 (|Record| (|:| |det| *12) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|))))) (|isDomain| *4 (|Matrix| *12)) (|isDomain| *5 (|List| (|Fraction| (|Polynomial| *9)))) (|isDomain| *6 (|List| (|List| *12))) (|isDomain| *7 (|NonNegativeInteger|)) (|isDomain| *8 (|Integer|)) (|ofCategory| *9 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *12 (|PolynomialCategory| *9 *11 *10)) (|ofCategory| *10 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *11 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |eqzro| (|List| *12)) (|:| |neqzro| (|List| *12)) (|:| |wcond| (|List| (|Polynomial| *9))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *9)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *9))))))))) (|isDomain| *1 (|ParametricLinearEquations| *9 *10 *11 *12))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *7 (|List| *7))) (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|))))) 
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(((*1 *1) (AND (|isDomain| *1 (|DirichletRing| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
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(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|GraphImage|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|OpenMathConnection|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathServerPackage|))))) 
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(((*1 *1 *2 *2 *1) (AND (|isDomain| *1 (|ListMultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|)))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|AssociationList| (|String|) (|None|))) (|isDomain| *1 (|BasicOperator|))))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|List| (|BasicOperator|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Vector| (|NonNegativeInteger|))) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |lcmfij| *4) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *6) (|:| |polj| *6)))) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *3 *4 *5 *6))))) 
(((*1 *1 *1) (|partial| AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Monoid|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|FunctionSpace| *4)) (|isDomain| *2 (|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|)))) (|isDomain| *1 (|FunctionSpaceUnivariatePolynomialFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|List| (|List| (|List| *4)))) (|isDomain| *1 (|TableauxBumpers| *4)) (|isDomain| *3 (|List| (|List| *4)))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Stack| *3))))) 
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(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4)))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|BalancedBinaryTree| *3))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TemplateUtilities|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|)))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ToolsForSign| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|RetractableTo| (|Integer|))) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $)))))))))) 
(((*1 *1 *1) (|isDomain| *1 (|AlgebraicNumber|))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|isDomain| *4 (|OneDimensionalArray| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|OneDimensionalArrayFunctions2| *5 *2)))) ((*1 *2 *3 *1 *2 *2) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|ofCategory| *2 (|SetCategory|)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3 *1 *2) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |pol| (|SparseUnivariatePolynomial| *4)) (|:| |deg| (|PositiveInteger|)))) (|isDomain| *1 (|DegreeReductionPackage| *4 *5)) 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*5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|StreamFunctions2| *5 *2)))) ((*1 *2 *2 *1 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|isDomain| *4 (|Mapping| (|Boolean|) *2 *2)) (|ofCategory| *1 (|TriangularSetCategory| *5 *6 *7 *2)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *5 *6 *7)))) ((*1 *2 *3 *4 *2) (AND (|isDomain| *3 (|Mapping| *2 *5 *2)) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|Type|)) (|ofCategory| *2 (|Type|)) (|isDomain| *1 (|VectorFunctions2| *5 *2))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|AbelianSemiGroup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|FunctionSpace| *3)))) ((*1 *2 *1) (|partial| AND (|isDomain| *2 (|List| (|Pattern| *3))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PolynomialCategoryQuotientFunctions| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7)) (SIGNATURE |numer| (*7 $)) (SIGNATURE |denom| (*7 $)))))))) 
(((*1 *2 *2 *3 *4) (|partial| AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *7))) (|isDomain| *3 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *7 (|PolynomialCategory| *5 *6 *4)) (|ofCategory| *5 (|PolynomialFactorizationExplicit|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialFactorizationByRecursion| *5 *6 *4 *7))))) 
(((*1 *2 *3 *4 *5 *6 *7 *8 *9) (|partial| AND (|isDomain| *4 (|List| *11)) (|isDomain| *5 (|List| (|SparseUnivariatePolynomial| *9))) (|isDomain| *6 (|List| *9)) (|isDomain| *7 (|List| *12)) (|isDomain| *8 (|List| (|NonNegativeInteger|))) (|ofCategory| *11 (|OrderedSet|)) (|ofCategory| *9 (|EuclideanDomain|)) (|ofCategory| *12 (|PolynomialCategory| *9 *10 *11)) (|ofCategory| *10 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *12))) (|isDomain| *1 (|MultivariateLifting| *10 *11 *9 *12)) (|isDomain| *3 (|SparseUnivariatePolynomial| *12))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerBits|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2)) (|ofCategory| *2 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|))))))) 
(((*1 *2 *3 *4 *3 *5 *3) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|Point| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Kernel| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|PureAlgebraicIntegration| *5 *3 *6)) (|ofCategory| *6 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *2 *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| *7) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| *7))))) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|QuasiComponentPackage| *3 *4 *5 *6 *7)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *3 *4 *5 *6 *7))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *3)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|SubSpaceComponentProperty|))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|List| (|NonNegativeInteger|)))))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6))) (|isDomain| *4 (|Fraction| *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|RationalLODE| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *6))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |basis| (|List| (|Fraction| *6))) (|:| |mat| (|Matrix| *5)))) (|isDomain| *1 (|RationalLODE| *5 *6)) (|isDomain| *4 (|List| (|Fraction| *6))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6))) (|isDomain| *4 (|Fraction| *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|RationalLODE| *5 *6)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|isDomain| *2 (|Record| (|:| |basis| (|List| (|Fraction| *6))) (|:| |mat| (|Matrix| *5)))) (|isDomain| *1 (|RationalLODE| *5 *6)) (|isDomain| *4 (|List| (|Fraction| *6)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *1) (|isDomain| *1 (|CharacterClass|))) ((*1 *1 *1) (|isDomain| *1 (|Character|))) ((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
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(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
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(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
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(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|Mapping| *2 *2 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *2)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|))))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *1 *2) (AND (|ofCategory| *2 (|Ring|)) (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
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(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ComplexTrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| (|Complex| *4)))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TrigonometricManipulations| *4 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *4 (|LeftModule| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|ModuleOperator| *3 *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|Operator| *3))))) 
(((*1 *1 *2 *1 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|ThreeDimensionalMatrix| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *3 (|SubSpaceComponentProperty|)) (|isDomain| *1 (|SubSpace| *4 *5)) (|ofType| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Symbol|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofCategory| *4 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|NormRetractPackage| *3 *4 *5 *2 *6)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|ofType| *6 (|PositiveInteger|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Finite|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ExtensionField| *2)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Finite|))))) 
(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ThreeSpaceCategory| *3))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *3)) (|ofCategory| *3 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|OrderedRing|)) (|isDomain| *1 (|RealPolynomialUtilitiesPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Kernel| *2))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *2 (|Join| (|FunctionSpace| (|Complex| *5)) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *1 (|InnerTrigonometricManipulations| *5 *6 *2)) (|ofCategory| *6 (|Join| (|FunctionSpace| *5) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|NewtonPolygon| *4 *3 *5 *6))))) 
(((*1 *2 *3 *3 *4 *5 *5 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Automorphism| *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *5 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|IntegerNumberTheoryFunctions|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6) (CATEGORY |domain| (SIGNATURE |coerce| ($ *7))))) (|ofCategory| *7 (|OrderedRing|)) (|ofCategory| *8 (|Join| (|UnivariatePowerSeriesCategory| *3 *7) (|Field|) (|TranscendentalFunctionCategory|) (CATEGORY |domain| (SIGNATURE |differentiate| ($ $)) (SIGNATURE |integrate| ($ $))))) (|isDomain| *2 (|Union| (|:| |%series| *8) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|)))))) (|isDomain| *1 (|FunctionSpaceToUnivariatePowerSeries| *6 *3 *7 *8 *9 *10)) (|isDomain| *5 (|String|)) (|ofCategory| *9 (|PartialTranscendentalFunctions| *8)) (|ofType| *10 (|Symbol|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AlgebraicFunctionField| *4 *5 *6 *7)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|ofType| *7 *6)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2 *3 *3 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *3 *3 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| *3)) (|:| |logand| (|SparseUnivariatePolynomial| *3))))) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *1 *1) (AND (|isDomain| *1 (|DeRhamComplex| *2 *3)) (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *3 (|List| (|Symbol|)))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *1 (|BasicOperatorFunctions1| *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *2 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3))))) 
(((*1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Aggregate|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|XPolynomialRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedMonoid|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Union| (|Fraction| (|Polynomial| *5)) (|SuchThat| (|Symbol|) (|Polynomial| *5)))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|List| (|Matrix| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|EigenPackage| *5)) (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| *5))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *3 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|DesingTreePackage| *4 *5 *6 *7 *8 *9 *10 *11 *3 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Mapping| (|Void|) (|SExpression|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AxiomServer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|IntegerNumberSystem|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|CharacterClass|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Character|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|Point| *3))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Any|))))) 
(((*1 *1 *2 *3 *1) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|LazyStreamAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| (|Expression| (|Integer|)))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOption|))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3)))) ((*1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|DrawOption|))))) 
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(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
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(((*1 *2 *1) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |mval| (|Matrix| *3)) (|:| |invmval| (|Matrix| *3)) (|:| |genIdeal| (|PolynomialIdeals| *3 *4 *5 *6)))) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlottableSpaceCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|MachineFloat|))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|)))))) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3)) (|ofCategory| *3 (|FiniteFieldCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *14)) (|ofCategory| *14 (|DesingTreeCategory| *13)) (|ofCategory| *13 (|InfinitlyClosePointCategory| *5 *6 *7 *8 *9 *10 *11 *12 *15)) (|ofCategory| *15 (|BlowUpMethodCategory|)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) *3)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|ofCategory| *12 (|DivisorCategory| *11)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DesingTreePackage| *5 *6 *7 *8 *9 *10 *11 *12 *13 *14 *15))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ExtAlgBasis|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
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(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |minor| (|List| (|PositiveInteger|))) (|:| |eq| *3) (|:| |minors| (|List| (|List| (|PositiveInteger|)))) (|:| |ops| (|List| *3)))) (|isDomain| *1 (|AssociatedEquations| *5 *3)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| *4 *5))) (|:| |glval| (|List| (|Integer|))))) (|isDomain| *1 (|LinGroebnerPackage| *4 *5)) (|isDomain| *3 (|List| (|DistributedMultivariatePolynomial| *4 *5)))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Polynomial| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *5)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Polynomial| *4)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Polynomial| *4)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Polynomial| *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Expression| *3)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Result|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|RoutinesTable|))) ((*1 *2 *3) (AND (|isDomain| *3 (|Stream| (|Stream| *4))) (|isDomain| *2 (|Stream| *4)) (|isDomain| *1 (|StreamFunctions1| *4)) (|ofCategory| *4 (|Type|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |basis| (|Matrix| *6)) (|:| |basisDen| *6) (|:| |basisInv| (|Matrix| *6))))) (|isDomain| *1 (|ChineseRemainderToolsForIntegralBases| *5 *6 *7)) (|isDomain| *3 (|Record| (|:| |basis| (|Matrix| *6)) (|:| |basisDen| *6) (|:| |basisInv| (|Matrix| *6)))) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Union| "nil" "sqfr" "irred" "prime")) (|isDomain| *1 (|Factored| *4)) (|ofCategory| *4 (|IntegralDomain|))))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Mapping| *7 *5 *6)) (|isDomain| *1 (|MakeBinaryCompiledFunction| *3 *5 *6 *7)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|)) (|ofCategory| *7 (|Type|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *1 (|MakeUnaryCompiledFunction| *3 *5 *6)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|RewriteRule| *3 *4 *5))) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *1 (|Ruleset| *3 *4 *5))))) 
(((*1 *2 *3 *3 *3 *4 *5 *3 *6) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp35| FCN)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagRootFindingPackage|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|PrimitiveArray| (|ModMonic| *3 *4))) (|isDomain| *1 (|ModMonic| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *3 *4 *5) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *5 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|List| *6))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|GcdDomain|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|GcdDomain|))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *3 (|PrimitiveArray| (|U32Vector|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|U32Vector|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *1 *2 *3) (|partial| AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|List| *3)) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|isDomain| *2 (|Matrix| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage2| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|IntegrationResult| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|PoincareBirkhoffWittLyndonBasis| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *2 *3 *4 *5)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|RecursivePolynomialCategory| *2 *3 *4)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| (|WuWenTsunTriangularSet| *4 *5 *6 *7))) (|isDomain| *1 (|WuWenTsunTriangularSet| *4 *5 *6 *7)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|List| *9)) (|isDomain| *4 (|Mapping| (|Boolean|) *9 *9)) (|isDomain| *5 (|Mapping| *9 *9 *9)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *2 (|List| (|WuWenTsunTriangularSet| *6 *7 *8 *9))) (|isDomain| *1 (|WuWenTsunTriangularSet| *6 *7 *8 *9))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *7)) (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *1 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Expression| (|Integer|)))) (|isDomain| *1 (|RadicalEigenPackage|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|FortranScalarType|)) (|isDomain| *2 (|List| (|Union| (|:| |name| (|Symbol|)) (|:| |bounds| (|List| (|Union| (|:| S (|Symbol|)) (|:| P (|Polynomial| (|Integer|))))))))) (|isDomain| *1 (|SymbolTable|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| (|Point| *4))) (|ofCategory| *1 (|ThreeSpaceCategory| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|ElementaryIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5)))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *4) (|partial| AND (|isDomain| *3 (|Mapping| (|Union| *5 "failed") *7)) (|isDomain| *4 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *7 (|Ring|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *5)) (|isDomain| *1 (|IntegralBasisPolynomialTools| *5 *2 *6 *7)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *2) (AND (|ofCategory| *1 (|NumericalIntegrationCategory|)) (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))))) ((*1 *2 *3 *2) (AND (|ofCategory| *1 (|NumericalIntegrationCategory|)) (|isDomain| *2 (|Result|)) (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|VectorCategory| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|RadicalCategory|)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FreeAbelianMonoidCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|CancellationAbelianMonoid|)) (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| *4)))))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |coef| *3) (|:| |monom| *4)))) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Stream| (|Record| (|:| |k| *4) (|:| |c| *3))))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *2 (|Record| (|:| |start| *3) (|:| |factors| (|Factored| *3)))) (|isDomain| *1 (|ComplexRootFindingPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *4)))))) 
(((*1 *2) (AND (|isDomain| *2 (|PrimitiveArray| (|SingleInteger|))) (|isDomain| *1 (|FiniteFieldCyclicGroup| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|)))) ((*1 *2) (AND (|isDomain| *2 (|PrimitiveArray| (|SingleInteger|))) (|isDomain| *1 (|FiniteFieldCyclicGroupExtensionByPolynomial| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|SparseUnivariatePolynomial| *3)))) ((*1 *2) (AND (|isDomain| *2 (|PrimitiveArray| (|SingleInteger|))) (|isDomain| *1 (|FiniteFieldCyclicGroupExtension| *3 *4)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|LaurentPolynomial| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *3 *4 *5 *6 *7) (AND (|isDomain| *3 (|Matrix| *11)) (|isDomain| *4 (|List| (|Fraction| (|Polynomial| *8)))) (|isDomain| *5 (|NonNegativeInteger|)) (|isDomain| *6 (|String|)) (|ofCategory| *8 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *11 (|PolynomialCategory| *8 *10 *9)) (|ofCategory| *9 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *10 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Record| (|:| |rgl| (|List| (|Record| (|:| |eqzro| (|List| *11)) (|:| |neqzro| (|List| *11)) (|:| |wcond| (|List| (|Polynomial| *8))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *8)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *8)))))))))) (|:| |rgsz| (|Integer|)))) (|isDomain| *1 (|ParametricLinearEquations| *8 *9 *10 *11)) (|isDomain| *7 (|Integer|))))) 
(((*1 *2 *3 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|HallBasis|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerPackage| *4 *5 *6 *2)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Automorphism| *6)) (|isDomain| *5 (|Mapping| *6 *6)) (|ofCategory| *6 (|Field|)) (|isDomain| *2 (|Record| (|:| R (|Matrix| *6)) (|:| A (|Matrix| *6)) (|:| |Ainv| (|Matrix| *6)))) (|isDomain| *1 (|PseudoLinearNormalForm| *6)) (|isDomain| *3 (|Matrix| *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|AffineSpaceCategory| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|RationalRetractions| *3)) (|ofCategory| *3 (|RetractableTo| (|Fraction| (|Integer|))))))) 
(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|Palette|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|)))) ((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *1 (|ElementaryFunctionStructurePackage| *4 *2)) (|ofCategory| *2 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *4)))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|RightOpenIntervalRootCharacterization| (|RealClosure| *3) (|SparseUnivariatePolynomial| (|RealClosure| *3)))) (|isDomain| *1 (|RealClosure| *3)) (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|) (|RealConstant|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|Monoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Stream| *5)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *3 (|IndexedExponents| *4) *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateTaylorSeriesCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Stream| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *7)) (|:| |badPols| (|List| *7)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|TableauxBumpers| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Tree| *3))) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *2 *3 *3 *3) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Segment| (|Integer|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *3 *3) (|partial| AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariatePolynomialDivisionPackage| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|AxiomServer|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Database| (|IndexCard|))) (|isDomain| *1 (|OperationsQuery|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DequeueAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Complex| *3)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| *4) (|:| |degree| (|Integer|))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupFactorizer| *4))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DoubleFloat|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|Mapping| (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)))) (|isDomain| *4 (|Segment| (|DoubleFloat|))) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|ThreeDimensionalViewport|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineInteger|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineInteger|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|FortranCode|))) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FlexibleArray| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|IndexedFlexibleArray| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofType| *4 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))) (|isDomain| *1 (|d01AgentsPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Matrix| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *1 (|RectangularMatrix| *3 *4 *5)) (|ofType| *3 (|NonNegativeInteger|)) (|ofType| *4 (|NonNegativeInteger|))))) 
(((*1 *1) (|isDomain| *1 (|Color|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
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(((*1 *1 *1 *1) (AND (|isDomain| *1 (|SparseEchelonMatrix| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|)))) ((*1 *2 *3 *4 *1) (AND (|isDomain| *4 (|List| (|Symbol|))) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TheSymbolTable|))))) 
(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Matrix| (|Integer|))) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *4 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|PrimitiveArray| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ArrayStack| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *1 (|BagAggregate| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Dequeue| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|Heap| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Queue| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Stack| *3))))) 
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(|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 (|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) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Multiset| *3)))) ((*1 *1 *2) (AND (|isDomain| *1 (|Multiset| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1) (AND (|isDomain| *1 (|Multiset| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| (|LyndonWord| *5))) (|isDomain| *1 (|LyndonWord| *5))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|List| *8))) (|isDomain| *3 (|List| *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *5 *6 *7 *8))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *4))) (|isDomain| *1 (|CommonDenominator| *4 *5 *3)) (|ofCategory| *3 (|FiniteLinearAggregate| *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|isDomain| *2 (|Record| (|:| |num| *6) (|:| |den| *4))) (|isDomain| *1 (|InnerCommonDenominator| *4 *5 *6 *3)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|ofCategory| *3 (|FiniteLinearAggregate| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *5)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |num| (|Matrix| *4)) (|:| |den| *4))) (|isDomain| *1 (|MatrixCommonDenominator| *4 *5)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Record| (|:| |eq| *7) (|:| |rh| (|List| (|Fraction| *6))))) (|isDomain| *1 (|PrimitiveRatDE| *5 *6 *7 *3)) (|isDomain| *4 (|List| (|Fraction| *6))) (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| *6)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *6))))) ((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|QuotientFieldCategory| *4)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *4))) (|isDomain| *1 (|UnivariatePolynomialCommonDenominator| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerRetractions| *3)) (|ofCategory| *3 (|RetractableTo| *2)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *2 *5 *6)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|))))) 
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(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| *5)))) (|isDomain| *1 (|PrimitiveRatRicDE| *4 *5 *3 *6)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5)) (|ofCategory| *6 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *5)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Equation| *3))) (|isDomain| *1 (|Equation| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *2 (|Fraction| (|Integer|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Mapping| (|InputForm|) (|List| (|InputForm|)))) (|isDomain| *1 (|BasicOperator|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|InputForm|) (|List| (|InputForm|)))) (|isDomain| *1 (|BasicOperator|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *3 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *4 *5 *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SquareMatrix| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|QuadraticForm| *3 *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *2 *2) (|partial| AND (|ofCategory| *3 (|Join| (|IntegralDomain|) (|CharacteristicZero|))) (|isDomain| *1 (|UnivariatePolynomialDecompositionPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (|OrderedRing|))) (|isDomain| *1 (|ComplexRootFindingPackage| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Complex| *2)))))) 
(((*1 *2 *1) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|)) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *2)) (|Record| (|:| |index| *5) (|:| |exponent| *2)))) (|ofCategory| *2 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *5 *2 *6 *7)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *4 *2 (|OrderedVariableList| *3)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DisplayPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Mapping| (|Stream| (|Polynomial| *4)) (|Stream| (|Polynomial| *4)))) (|isDomain| *1 (|WeierstrassPreparation| *4)) (|ofCategory| *4 (|Field|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|List| (|List| (|List| *5)))) (|isDomain| *3 (|Mapping| (|Boolean|) *5 *5)) (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|TableauxBumpers| *5))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |lcmfij| *5) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *7) (|:| |polj| *7))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|ArrayStack| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Vector| (|List| (|Record| (|:| |value| *4) (|:| |index| (|SingleInteger|)))))) (|isDomain| *1 (|FiniteFieldFunctions| *4))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|NumericalOptimizationProblem|)) (|isDomain| *4 (|RoutinesTable|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|NumericalOptimizationProblem|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|List| (|Float|))) (|isDomain| *5 (|List| (|OrderedCompletion| (|Float|)))) (|isDomain| *6 (|List| (|Expression| (|Float|)))) (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4 *5 *5) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Float|))) (|isDomain| *5 (|List| (|OrderedCompletion| (|Float|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| (|Float|))) (|isDomain| *4 (|List| (|Float|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Expression| (|Float|)))) (|isDomain| *4 (|List| (|Float|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|AnnaNumericalOptimizationPackage|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|List| *6))) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)) (|ofCategory| *3 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *4 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|ParametricLinearEquations| *3 *4 *5 *6))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|not| (|has| *1 (ATTRIBUTE |arbitraryPrecision|))) (|not| (|has| *1 (ATTRIBUTE |arbitraryExponent|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|OrderedSet|))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PriorityQueueAggregate| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *1 *3 *4 *4 *5) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *4 (|Palette|)) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Point| (|DoubleFloat|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1 *3 *4 *4 *5) (AND (|isDomain| *3 (|List| (|Point| (|DoubleFloat|)))) (|isDomain| *4 (|Palette|)) (|isDomain| *5 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GraphImage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|MachineFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|DataList| *3))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |resultant| *3) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|DivisionRing|))) ((*1 *1 *1) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *2 *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *3 *3 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *3 "failed") *3 *3 *4)))) ((*1 *1 *1) (OR (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|Type|))) (AND (|isDomain| *1 (|Equation| *2)) (|ofCategory| *2 (|Group|)) (|ofCategory| *2 (|Type|))))) ((*1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) (|isDomain| *2 (|List| (|Fraction| (|Integer|)))) (|isDomain| *1 (|RealZeroPackage| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DecimalExpansion|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Boolean|) (|BasicOperator|) (|BasicOperator|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|RepeatedDoubling| *2)) (|ofCategory| *2 (|Join| (|SetCategory|) (CATEGORY |domain| (SIGNATURE + ($ $ $)))))))) 
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(((*1 *1 *1) (|isDomain| *1 (|InputForm|)))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *1 (|GraphImage|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|StreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|GuessOption|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|Point| *3)))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|List| *3)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|ElementaryIntegration| *6 *3))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3 *3 *3 *3 *3 *3 *5 *5 *4 *3 *6 *7) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp41| FCN JACOBF JACEPS)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp42| G JACOBG JACGEP)))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOrdinaryDifferentialEquationsPackage|))))) 
(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Cell| *5)) (|ofCategory| *5 (|RealClosedField|)) (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|CylindricalAlgebraicDecompositionPackage| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Record| (|:| |Indices| (|List| *4)) (|:| |Entries| (|List| *5)))) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SparseEchelonMatrix| *4 *5))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *1 (|TheSymbolTable|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FileCategory| *2 *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|FunctionCalled| *3)) (|ofType| *3 *2))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RuleCalled| *3)) (|ofType| *3 *2))) ((*1 *1 *1) (|isDomain| *1 (|Symbol|)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|OpenMathPackage|)) (|isDomain| *3 (|String|))))) 
(((*1 *1 *1 *2 *1) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|UniversalSegment| (|Integer|)))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stream| *4))))) 
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(((*1 *2 *1) (AND (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|CommutativeRing|)) (|ofCategory| *5 (|DirectProductCategory| (|#| *3) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *2) (|:| |exponent| *5)) (|Record| (|:| |index| *2) (|:| |exponent| *5)))) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|GeneralModulePolynomial| *3 *4 *2 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 (|OrderedVariableList| *3)))))) 
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(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
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(((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathPackage|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|PatternMatchResult| *3 *5)) (|isDomain| *1 (|PatternMatchListResult| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *5 (|ListAggregate| *4))))) 
(((*1 *2 *3) (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 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |resultantReduit| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OrderedCompletion| (|Float|))) (|isDomain| *2 (|OrderedCompletion| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|PseudoAlgebraicClosureOfRationalNumber|)) (|isDomain| *1 (|PseudoAlgebraicClosureOfAlgExtOfRationalNumber| *3)) (|ofType| *3 *2)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |resultant| *3) (|:| |coef1| (|NewSparseUnivariatePolynomial| *3)) (|:| |coef2| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Any|))) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|CombinatorialOpsCategory|)) (|isDomain| *2 (|Symbol|)))) ((*1 *1 *1) (|ofCategory| *1 (|CombinatorialOpsCategory|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|List| (|List| (|Point| *3)))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorsOps| *4 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
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(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StorageEfficientMatrixOperations| *3))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *3 *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2) (AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *2)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *2)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1 *3 *4 *4 *4 *4 *5 *5 *5 *5 *6 *5 *6 *5) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|Palette|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|IntegrationFunctionsTable|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|))))) 
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(((*1 *1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|NonAssociativeRng|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|:| |%expansion| (|ExponentialExpansion| *5 *3 *6 *7)) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|)))))) (|isDomain| *1 (|FunctionSpaceToExponentialExpansion| *5 *3 *6 *7)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofType| *6 (|Symbol|)) (|ofType| *7 *3)))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|InputForm|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *1 (|HeuGcd| *3))))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|)))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|DoubleFloat|))))) 
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(((*1 *2 *1 *3 *3 *4 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *3 *4 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *5 (|EuclideanDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GenExEuclid| *5 *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *4 *5 *6 *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*1 *2 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *1) (AND (|ofCategory| *1 (|StackAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *5 *6 *5) (AND (|isDomain| *4 (|Complex| (|DoubleFloat|))) (|isDomain| *5 (|Integer|)) (|isDomain| *6 (|String|)) (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomNumberSource|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Color|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Color|)) (|isDomain| *1 (|Palette|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *1 (|Permutation| *3))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|CRApackage| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|OrderedVariableList| *5))) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|List| (|List| (|DistributedMultivariatePolynomial| *5 *6)))) (|isDomain| *1 (|GroebnerSolve| *5 *6 *7)) (|isDomain| *3 (|List| (|DistributedMultivariatePolynomial| *5 *6))) (|ofCategory| *7 (|GcdDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithGroebnerBasis| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Record| (|:| |totdeg| (|NonNegativeInteger|)) (|:| |pol| *4))) (|isDomain| *5 (|NonNegativeInteger|)) (|ofCategory| *4 (|PolynomialCategory| *6 *7 *8)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |lcmfij| *7) (|:| |totdeg| *5) (|:| |poli| *4) (|:| |polj| *4))) (|isDomain| *1 (|GroebnerInternalPackage| *6 *7 *8 *4))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *2 (|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|)))) (|isDomain| *1 (|Stream| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *3 (|NonNegativeInteger|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|PolynomialIdeals| *3 *4 *5 *6))) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| *7)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|SetAggregate| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|AbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|AntiSymm| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *1 *1) (AND (|isDomain| *1 (|DeRhamComplex| *2 *3)) (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *3 (|List| (|Symbol|))))) ((*1 *1 *1) (AND (|isDomain| *1 (|Divisor| *2)) (|ofCategory| *2 (|SetCategoryWithDegree|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|FreeModuleCat| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofType| *2 (|List| (|Symbol|))) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *5 (|DirectProductCategory| (|#| *2) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *4) (|:| |exponent| *5)) (|Record| (|:| |index| *4) (|:| |exponent| *5)))) (|isDomain| *1 (|GeneralModulePolynomial| *2 *3 *4 *5 *6 *7)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *3 *5 (|OrderedVariableList| *2))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|IndexedDirectProductCategory| *2 *3)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *1) (AND (|ofCategory| *2 (|IntegralDomain|)) (|isDomain| *1 (|LaurentPolynomial| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MonogenicLinearOperator| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|MonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|Monoid|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|XPolynomialRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedMonoid|))))) 
(((*1 *2 *3 *4 *5 *5 *5 *5 *4 *6) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *1) (|isDomain| *1 (|TheSymbolTable|)))) 
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(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
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(((*1 *2 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
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(((*1 *2 *3 *3 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|)) (|isDomain| *3 (|Integer|))))) 
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(((*1 *1 *2) (AND (|isDomain| *1 (|DenavitHartenbergMatrix| *2)) (|ofCategory| *2 (|Join| (|Field|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1) (|ofCategory| *1 (|ExpressionSpace|))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |gen| *3) (|:| |exp| *4)))) (|isDomain| *1 (|ListMonoidOps| *3 *4 *5)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4)))) 
(((*1 *2 *3 *4 *4 *3) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |ratpart| *3) (|:| |coeff| *3))) (|isDomain| *1 (|PureAlgebraicIntegration| *5 *3 *6)) (|ofCategory| *6 (|SetCategory|))))) 
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(((*1 *1) (|isDomain| *1 (|Color|)))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|SymbolTable|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *1 (|OpenMathError|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot3D|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Boolean|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *3 *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)))) ((*1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *3 *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |val| (|List| *8)) (|:| |tower| *9)))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|RegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RegularSetDecompositionPackage| *5 *6 *7 *8 *9)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |val| (|List| *8)) (|:| |tower| *9)))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *9 (|SquareFreeRegularTriangularSetCategory| *5 *6 *7 *8)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeRegularSetDecompositionPackage| *5 *6 *7 *8 *9))))) 
(((*1 *2) (AND (|isDomain| *2 (|Record| (|:| |low| (|List| *3)) (|:| |high| (|List| *3)))) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 (|List| *2))) (|isDomain| *4 (|List| *5)) (|ofCategory| *5 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *5)) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *5 *2))))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|StackAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *3 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *1 *2 *3 *1) (AND (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofType| *6 (|Mapping| (|Boolean|) (|Record| (|:| |index| *5) (|:| |exponent| *3)) (|Record| (|:| |index| *5) (|:| |exponent| *3)))) (|isDomain| *1 (|GeneralModulePolynomial| *4 *2 *5 *3 *6 *7)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *7 (|PolynomialCategory| *2 *3 (|OrderedVariableList| *4)))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Mapping| (|SparseMultivariateTaylorSeries| *4 *3 *5))) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|SparseMultivariateTaylorSeries| *4 *3 *5)) (|ofCategory| *5 (|PolynomialCategory| *4 (|IndexedExponents| *3) *3)))) ((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|Mapping| (|TaylorSeries| *4))) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|TaylorSeries| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| *4))))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| *4))) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Vector| (|Matrix| *3))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Vector| (|Matrix| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|StructuralConstantsPackage| *5)) (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| *5)))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Symbol|))) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Vector| (|Matrix| (|Polynomial| *5)))) (|isDomain| *1 (|StructuralConstantsPackage| *5)) (|isDomain| *4 (|Matrix| (|Polynomial| *5))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|Vector| (|Matrix| *4))) (|isDomain| *1 (|StructuralConstantsPackage| *4))))) 
(((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlacesCategory| *3 *4)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|LocalPowerSeriesCategory| *3)) (|isDomain| *2 (|List| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Symbol|))))) 
(((*1 *2) (AND (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|FileName|)) (|isDomain| *1 (|Library|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|BinarySearchTree| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|FiniteAbelianMonoidRing| *5 *7)) (|ofCategory| *7 (|DirectProductCategory| *8 (|NonNegativeInteger|))) (|ofType| *8 (|NonNegativeInteger|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialPackageForCurve| *5 *6 *7 *8 *4)) (|ofCategory| *4 (|ProjectiveSpaceCategory| *5))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|GcdDomain|))) (|isDomain| *2 (|OrderedCompletion| *4)) (|isDomain| *1 (|ExponentialExpansion| *3 *4 *5 *6)) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4))) ((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|GcdDomain|))) (|isDomain| *2 (|OrderedCompletion| *4)) (|isDomain| *1 (|UnivariatePuiseuxSeriesWithExponentialSingularity| *3 *4 *5 *6)) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *3))) (|ofType| *5 (|Symbol|)) (|ofType| *6 *4)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *3)) (|ofCategory| *3 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|List| *8)) (|isDomain| *1 (|ProjectiveAlgebraicSetPackage| *5 *6 *3 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *5))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *2 *3 *3) (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Boolean|) *3 *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |lcmfij| *5) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *2) (|:| |polj| *2))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *2)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *6 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |eqzro| (|List| *7)) (|:| |neqzro| (|List| *7)) (|:| |wcond| (|List| (|Polynomial| *4))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *4)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *4)))))))))) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|SegmentBinding| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|CombinatorialFunction| *4 *2)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|SegmentBinding| *1)) (|ofCategory| *1 (|CombinatorialOpsCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|CombinatorialOpsCategory|)) (|isDomain| *2 (|Symbol|))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Stream| *4)) (|ofCategory| *4 (|Algebra| *3)) (|ofCategory| *4 (|Ring|)) (|isDomain| *3 (|Fraction| (|Integer|))) (|isDomain| *1 (|StreamTaylorSeriesOperations| *4))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|Stream| *3))) (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1) (|ofCategory| *1 (|FiniteFieldCategory|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SortedCache| *3)) (|ofCategory| *3 (|CachableSet|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|DifferentialExtension| *4)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|DifferentialExtension| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|DifferentialRing|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1) (|ofCategory| *1 (|DifferentialRing|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|DifferentialVariableCategory| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1) (AND (|ofCategory| *2 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|GeneralUnivariatePowerSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *2 *1 *3) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *2 (|PartialDifferentialRing| *3)) (|isDomain| *1 (|IntegrationResult| *2)) (|isDomain| *3 (|Symbol|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Mapping| *2 *2)) (|isDomain| *1 (|IntegrationResult| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| *4)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|ofCategory| *1 (|PartialDifferentialRing| *4)) (|ofCategory| *4 (|SetCategory|)))) ((*1 *1 *1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|PartialDifferentialRing| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *1 (|PartialDifferentialRing| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PartialDifferentialRing| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *2 (|U32Vector|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Integer|)) (|isDomain| *1 (|U32VectorPolynomialOperations|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|SparseUnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| (QUOTE |x|))) (|isDomain| *1 (|UnivariateFormalPowerSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateLaurentSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeries| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofType| *5 *3))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Variable| *4)) (|ofType| *4 (|Symbol|)) (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *3 *4)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|FreeNilpotentLie| *3 *4 *5)) (|ofType| *3 (|NonNegativeInteger|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *1) (|isDomain| *1 (|GraphImage|)))) 
(((*1 *1) (|isDomain| *1 (|FortranCode|)))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Expression| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*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 *2 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|CRApackage| *3))))) 
(((*1 *2 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *2))))) 
(((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|MyUnivariatePolynomial| *4 *3)) (|ofType| *4 (|Symbol|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *1 (|PolynomialRing| *3 *2)) (|ofCategory| *2 (|CancellationAbelianMonoid|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|Partition|)) (|ofCategory| *2 (|CancellationAbelianMonoid|)) (|isDomain| *1 (|SymmetricPolynomial| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2 *3 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|UnivariatePolynomial| *4 *3)) (|ofType| *4 (|Symbol|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Boolean|) (|BasicOperator|) (|BasicOperator|))) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|))) (|isDomain| *1 (|FullPartialFractionExpansion| *3 *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathErrorKind|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|PolynomialCategory| (|Fraction| (|Polynomial| *6)) *5 *4)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *5 *4 *6 *2)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $))))) (|ofCategory| *6 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|String|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |stiffnessFactor| (|Float|)) (|:| |stabilityFactor| (|Float|)))) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| "skip" "MonteCarlo" "deterministic")) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| "skip" "MonteCarlo" "deterministic")) (|isDomain| *1 (|GuessOption|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| *6)) (|:| |exponent| (|Integer|))))) (|ofCategory| *6 (|EuclideanDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|MultivariateSquareFree| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| *2))) (|ofCategory| *4 (|Field|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) (|isDomain| *1 (|FortranType|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *2 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|DifferentialVariableCategory| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcTrigonometricFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|))))) 
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(((*1 *1) (|isDomain| *1 (|ODEIntensityFunctionsTable|)))) 
(((*1 *2 *3 *3 *3 *3 *3 *3 *4 *4 *4 *3 *3 *5 *6 *3 *6 *6 *5 *6 *6 *6 *6 *5 *3 *3 *3 *3 *3 *6 *6 *6 *3 *3 *3 *3 *3 *7 *4 *4 *4 *4 *3 *8 *9) (AND (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Boolean|)) (|isDomain| *6 (|DoubleFloat|)) (|isDomain| *7 (|Matrix| (|Integer|))) (|isDomain| *8 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp55| CONFUN)))) (|isDomain| *9 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp49| OBJFUN)))) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|KeyedAccessFile| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (|isDomain| *1 (|Library|)))) 
(((*1 *2 *2 *2) (AND (|isDomain| *1 (|IntegerCombinatoricFunctions| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| *4)) (|ofCategory| *4 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|PureAlgebraicLODE| *5 *6 *7 *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|CyclicStreamTools| *3 *2)) (|ofCategory| *2 (|LazyStreamAggregate| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|HTMLFormat|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|OutputForm|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|MathMLFormat|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Polynomial| (|Fraction| (|Integer|)))) (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|ExpertSystemContinuityPackage|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|LaurentPolynomial| *4 *5)) (|isDomain| *3 (|Mapping| (|Record| (|:| |ans| *4) (|:| |right| *4) (|:| |sol?| (|Boolean|))) (|Integer|) *4)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|TranscendentalIntegration| *4 *5))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *1) (|isDomain| *1 (|FortranType|)))) 
(((*1 *2 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|Complex| (|DoubleFloat|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef2| *3) (|:| |resultantReduit| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *1) (|partial| AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *2 *4)) (|ofCategory| *4 (|CancellationAbelianMonoid|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|FreeGroup| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|ListMonoidOps| *2 *4 *5)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 *4))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *3 *4 *4 *5 *4 *4 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (|isDomain| *1 (|IntegrationFunctionsTable|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Symbol|)) (|ofCategory| *6 (|FunctionSpace| *5)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| (|Kernel| *6))) (|isDomain| *1 (|IntegrationTools| *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| *5))) (|ofCategory| *5 (|FiniteAbelianMonoidRing| *4 *6)) (|ofCategory| *6 (|DirectProductCategory| *7 *2)) (|ofType| *7 *2) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|NewtonPolygon| *4 *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|DirectProductCategory| *7 *2)) (|ofType| *7 *2) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *5 *3 *6 *7 *4)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *5 *6)) (|ofCategory| *4 (|ProjectiveSpaceCategory| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|DirectProductCategory| *8 *2)) (|ofType| *8 *2) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *6 *3 *7 *8 *4)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *6 *7)) (|ofCategory| *4 (|ProjectiveSpaceCategory| *6))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|TopLevelDrawFunctionsForCompiledFunctions|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *3 *5) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp19| LSFUN2)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *1) (|isDomain| *1 (|Void|)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *1 (|ParametricPlaneCurve| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *2 *2) (AND (|isDomain| *1 (|ParametricSpaceCurve| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|List| (|Point| *3))))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|ThreeSpaceCategory| *3)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Point| *3))) (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *2 *2 *2 *2) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|CombinatorialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DrawComplex|))))) 
(((*1 *2 *3 *2 *4) (AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|RetractableTo| (|Integer|))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *5 *2)) (|ofCategory| *2 (|FunctionSpace| *5)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *5 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *5 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *5 (|Kernel| $)))))))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerNumberTheoryFunctions|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|List| *8)) (|isDomain| *1 (|ProjectiveAlgebraicSetPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|AlgebraicNumber|)) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|AlgebraicNumber|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessAlgebraicNumber|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *6) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *6)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| *7) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|Join| (|FiniteFieldCategory|) (|ConvertibleTo| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessFinite| *7)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Integer|))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|Fraction| (|Integer|)))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|Field|)) (|ofType| *9 (|Mapping| *6 *4)) (|ofCategory| *7 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *8 (|Mapping| *4 *7)) (|isDomain| *2 (|List| (|Record| (|:| |function| *6) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *4 *5 *6 *7 *8 *9)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *7) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|List| (|GuessOption|))) (|ofCategory| *5 (|Field|)) (|ofType| *10 (|Mapping| *7 *5)) (|ofCategory| *8 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *9 (|Mapping| *5 *8)) (|isDomain| *2 (|List| (|Record| (|:| |function| *7) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *5 *6 *7 *8 *9 *10)) (|ofCategory| *6 (|GcdDomain|)) (|ofCategory| *7 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *8) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| *8) (|:| |order| (|NonNegativeInteger|)))) (|List| *6) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|Field|)) (|ofType| *11 (|Mapping| *8 *6)) (|ofCategory| *9 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *10 (|Mapping| *6 *9)) (|isDomain| *2 (|List| (|Record| (|:| |function| *8) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *6 *7 *8 *9 *10 *11)) (|ofCategory| *7 (|GcdDomain|)) (|ofCategory| *8 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *9) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| *9) (|:| |order| (|NonNegativeInteger|)))) (|List| *7) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|Field|)) (|ofType| *12 (|Mapping| *9 *7)) (|ofCategory| *10 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|ofType| *11 (|Mapping| *7 *10)) (|isDomain| *2 (|List| (|Record| (|:| |function| *9) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|Guess| *7 *8 *9 *10 *11 *12)) (|ofCategory| *8 (|GcdDomain|)) (|ofCategory| *9 (|Join| (|FunctionSpace| (|Integer|)) (|IntegralDomain|) (|RetractableTo| *10) (|RetractableTo| (|Symbol|)) (|RetractableTo| (|Integer|)) (|CombinatorialOpsCategory|) (|PartialDifferentialRing| (|Symbol|)) (CATEGORY |domain| (SIGNATURE * ($ $ $)) (SIGNATURE / ($ $ $)) (SIGNATURE ** ($ $ $)) (SIGNATURE |numerator| ($ $)) (SIGNATURE |denominator| ($ $)) (SIGNATURE |ground?| ((|Boolean|) $))))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Record| (|:| |function| (|Expression| (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessPolynomial|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *4 (|Integer|))))) (|ofType| *4 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *4 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *5 (|Integer|))))) (|isDomain| *4 (|List| (|GuessOption|))) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *5 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *5)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *6 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *6 (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *6 (|Integer|))))) (|ofType| *6 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *6 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *6)))) ((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *4 (|List| (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| *7 (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| *7 (|Integer|)))) (|List| (|GuessOption|))))) (|isDomain| *5 (|List| (|Symbol|))) (|isDomain| *6 (|List| (|GuessOption|))) (|isDomain| *3 (|List| (|Fraction| (|MyUnivariatePolynomial| *7 (|Integer|))))) (|ofType| *7 (|Symbol|)) (|isDomain| *2 (|List| (|Record| (|:| |function| (|MyExpression| *7 (|Integer|))) (|:| |order| (|NonNegativeInteger|))))) (|isDomain| *1 (|GuessUnivariatePolynomial| *7))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Point| *2)) (|isDomain| *1 (|PointPackage| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlottablePlaneCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PlottableSpaceCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|)))))) 
(((*1 *2 *2 *2 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ArrayStack| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Dequeue| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Heap| *4)))) ((*1 *2 *3 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Queue| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Stack| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Integer|))) (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|HeuGcd| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|GcdDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PolynomialCategory| *3 *4 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|GcdDomain|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *2 (|Join| (|FieldOfPrimeCharacteristic|) (CATEGORY |package| (SIGNATURE |coerce| (*2 *4)) (SIGNATURE |lookup| ((|PositiveInteger|) *2)) (SIGNATURE |basis| ((|Vector| *2) (|PositiveInteger|))) (SIGNATURE |Frobenius| (*2 *2))))) (|isDomain| *1 (|FiniteFieldPolynomialPackage2| *2 *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| *5)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|DistinctDegreeFactorize| *4 *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Record| (|:| |factor| *5) (|:| |degree| (|Integer|))))) (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *5))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|AffinePlane| *3)) (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4 *5 *6) (AND (|isDomain| *6 (|PositiveInteger|)) (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Record| (|:| |plist| (|List| *3)) (|:| |modulo| *5))) (|isDomain| *1 (|GeneralHenselPackage| *5 *3)) (|isDomain| *4 (|List| *3))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *3)) (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|ModularHermitianRowReduction| *3))))) 
(((*1 *2 *1 *3 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5)) (|ofCategory| *2 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)))) ((*1 *2 *1 *3 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|EltableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
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(((*1 *1) (|isDomain| *1 (|Color|)))) 
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(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *7)) (|ofCategory| *7 (|PolynomialCategory| *6 *4 *5)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|Ring|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *6)) (|isDomain| *1 (|FactoringUtilities| *4 *5 *6 *7))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|DeRhamComplex| *2 *3)) (|ofCategory| *2 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *3 (|List| (|Symbol|)))))) 
(((*1 *2 *3 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|HexadecimalExpansion|))))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|)))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Vector| *1)) (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| *4 *4)) (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)))) ((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| *5 *5)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|PackageForPoly| *4 *2 *5 *6)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateFormalPowerSeries| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeries| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|)) (|ofType| *4 *2))) ((*1 *1 *1) (AND (|isDomain| *1 (|UnivariateTaylorSeriesCZero| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofType| *3 (|Symbol|))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|Record| (|:| |lcmfij| *5) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *7) (|:| |polj| *7))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|IndexedAggregate| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
(((*1 *1 *2 *3 *3 *4 *5) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *3 (|List| (|Palette|))) (|isDomain| *4 (|List| (|PositiveInteger|))) (|isDomain| *5 (|List| (|DrawOption|))) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *2 *3 *3 *4) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *3 (|List| (|Palette|))) (|isDomain| *4 (|List| (|PositiveInteger|))) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *1 (|GraphImage|)))) ((*1 *1 *1) (|isDomain| *1 (|GraphImage|)))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| *3) (|:| |xpnt| (|Integer|))))) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|)))) ((*1 *2 *3 *4 *4 *4) (AND (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *3))) (|isDomain| *1 (|ChineseRemainderToolsForIntegralBases| *3 *5 *6)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Set| (|Symbol|))) (|isDomain| *1 (|ApplicationProgramInterface|)) (|isDomain| *3 (|Symbol|))))) 
(((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Multiset| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|Ring|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SparseEchelonMatrix| *4 *5)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *1) (|ofCategory| *1 (|IntegerNumberSystem|))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|MachineFloat|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Permutation| *3))) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *3 *4 *4 *3 *4 *4 *3 *3 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|IndexedAggregate| *4 *3)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *4 (|Mapping| (|Boolean|) *2 *2)) (|isDomain| *1 (|UserDefinedPartialOrdering| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|UserDefinedPartialOrdering| *2))))) 
(((*1 *1 *1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 *2) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *1 (|MatrixCategory| *3 *2 *4)) (|ofCategory| *2 (|FiniteLinearAggregate| *3)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|SquareMatrix| *2 *3)) (|ofType| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| *4)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| *4))))))) (|isDomain| *3 (|List| *7)) (|ofCategory| *4 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *7 (|PolynomialCategory| *4 *6 *5)) (|ofCategory| *5 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|ParametricLinearEquations| *4 *5 *6 *7))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *3)) (|ofCategory| *3 (|ConvertibleTo| *2)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *3)) (|ofCategory| *3 (|ConvertibleTo| *2)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Polynomial| *4)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Polynomial| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *4))) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Expression| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *4 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Expression| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *5 (|ConvertibleTo| *2)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|Numeric| *5))))) 
(((*1 *2 *1 *3) (|partial| AND (|isDomain| *3 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternMatchResult| *4 *5)) (|ofCategory| *5 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternFunctions1| *5 *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *6)) (|isDomain| *4 (|Pattern| *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|Type|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PatternFunctions1| *5 *6))))) 
(((*1 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Palette|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *5 (|Symbol|)) (|ofCategory| *6 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|ofCategory| *4 (|Join| (|AlgebraicallyClosedFunctionSpace| *6) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|))) (|isDomain| *2 (|Record| (|:| |particular| *4) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|ConstantLODE| *6 *4 *3)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Record| (|:| |den| (|Integer|)) (|:| |gcdnum| (|Integer|))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PointsOfFiniteOrderTools| *4 *5)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *1 (|FiniteAlgebraicExtensionField| *3)) (|ofCategory| *3 (|Field|))))) 
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(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
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(((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|Mapping| (|SparseUnivariatePolynomial| *3) (|SparseUnivariatePolynomial| *3))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|AlgebraicIntegration| *6 *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|List| (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| *4)) (|SuchThat| (|Symbol|) (|Polynomial| *4)))) (|:| |geneigvec| (|List| (|Matrix| (|Fraction| (|Polynomial| *4)))))))) (|isDomain| *1 (|EigenPackage| *4)) (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *4))))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2)) (|ofCategory| *2 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|))))))) 
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(((*1 *2 *1) (AND (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|Join| (|Ring|) (|PatternMatchable| *3) (|OrderedSet|) (|ConvertibleTo| (|Pattern| *3)))) (|isDomain| *2 (|List| (|RewriteRule| *3 *4 *5))) (|isDomain| *1 (|Ruleset| *3 *4 *5)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|PatternMatchable| *3) (|ConvertibleTo| (|Pattern| *3))))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *1 *1 *2 *3) (AND (|isDomain| *2 (|List| (|Symbol|))) (|isDomain| *3 (|Any|)) (|isDomain| *1 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|XDistributedPolynomial| (|Symbol|) *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|XPolynomial| *3)))) ((*1 *1 *2) (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|XRecursivePolynomial| *3 *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Expression| (|DoubleFloat|))) (|isDomain| *2 (|Expression| (|Fraction| (|Integer|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FileNameCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|UniqueFactorizationDomain|)) (|isDomain| *1 (|ChangeOfVariable| *2 *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|List| (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|)))))) (|isDomain| *1 (|IdealDecompositionPackage| *4 *5)) (|isDomain| *3 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|)))))))) 
(((*1 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|BagAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|Stream| (|Stream| (|Polynomial| *5)))) (|isDomain| *1 (|WeierstrassPreparation| *5)) (|isDomain| *4 (|Stream| (|Polynomial| *5)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerRetractions| *3)) (|ofCategory| *3 (|RetractableTo| (|Integer|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|ofCategory| *2 (|Join| (|FunctionSpace| (|Complex| *4)) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *3 *2)) (|ofCategory| *3 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Tree| *3))) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ComplexCategory&| *3 *4)) (|ofCategory| *3 (|ComplexCategory| *4)))) ((*1 *2) (AND (|ofType| *4 *2) (|ofCategory| *5 (|Type|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DirectProductCategory&| *3 *4 *5)) (|ofCategory| *3 (|DirectProductCategory| *4 *5)))) ((*1 *2) (AND (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FunctionSpace&| *3 *4)) (|ofCategory| *3 (|FunctionSpace| *4)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|IntegerNumberSystem&| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)))) ((*1 *2) (AND (|ofCategory| *1 (|NonAssociativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|OctonionCategory&| *3 *4)) (|ofCategory| *3 (|OctonionCategory| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|QuotientFieldCategory&| *3 *4)) (|ofCategory| *3 (|QuotientFieldCategory| *4)))) ((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|QuaternionCategory&| *3 *4)) (|ofCategory| *3 (|QuaternionCategory| *4)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RealClosedField&| *3)) (|ofCategory| *3 (|RealClosedField|)))) ((*1 *2) (AND (|ofCategory| *1 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|RealNumberSystem&| *3)) (|ofCategory| *3 (|RealNumberSystem|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OrderedVariableList| *3)) (|ofType| *3 (|List| *2)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|QueryEquation|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|SegmentBinding| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Symbol|)))) ((*1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Variable| *3)) (|ofType| *3 *2)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Matrix| *5))) (|isDomain| *4 (|Vector| *5)) (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|RepresentationPackage2| *5))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| *4)))) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |cd| (|String|)) (|:| |name| (|String|)))) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |preimage| (|List| *3)) (|:| |image| (|List| *3)))) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|IntervalCategory| *2)) (|ofCategory| *2 (|Join| (|FloatingPointSystem|) (|TranscendentalFunctionCategory|))))) ((*1 *1 *1 *1) (|ofCategory| *1 (|OrderedAbelianMonoidSup|)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupFactorizationUtilities| *4 *3 *5)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|Join| (|FloatingPointSystem|) (|RetractableTo| *4) (|Field|) (|TranscendentalFunctionCategory|) (|ElementaryFunctionCategory|)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Tree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| (|Polynomial| *4)))) (|ofCategory| *4 (|RealClosedField|)) (|isDomain| *2 (|List| (|Polynomial| *4))) (|isDomain| *1 (|CylindricalAlgebraicDecompositionPackage| *4))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Partition|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *2 *3 *3 *3 *4) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|ofCategory| *1 (|FiniteDivisorCategory| *4 *3 *5 *2)) (|ofCategory| *2 (|FunctionFieldCategory| *4 *3 *5)))) ((*1 *1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *2 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *1 (|FiniteDivisorCategory| *2 *4 *5 *6)) (|ofCategory| *6 (|FunctionFieldCategory| *2 *4 *5)))) ((*1 *1 *2 *2) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|ofCategory| *1 (|FiniteDivisorCategory| *2 *3 *4 *5)) (|ofCategory| *5 (|FunctionFieldCategory| *2 *3 *4)))) ((*1 *1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *2)) (|ofCategory| *2 (|FunctionFieldCategory| *3 *4 *5)))) ((*1 *1 *2) (AND (|isDomain| *2 (|FractionalIdeal| *4 (|Fraction| *4) *5 *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|FiniteDivisorCategory| *3 *4 *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|UniversalSegment| *3)) (|ofCategory| *3 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|TangentExpansions| *2)) (|ofCategory| *2 (|Field|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|SingleInteger|)) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Mapping| (|Boolean|) *9)) (|isDomain| *5 (|Mapping| (|Boolean|) *9 *9)) (|ofCategory| *9 (|RecursivePolynomialCategory| *6 *7 *8)) (|ofCategory| *6 (|IntegralDomain|)) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|ofCategory| *8 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |bas| *1) (|:| |top| (|List| *9)))) (|isDomain| *3 (|List| *9)) (|ofCategory| *1 (|TriangularSetCategory| *6 *7 *8 *9)))) ((*1 *2 *3 *4) (|partial| AND (|isDomain| *4 (|Mapping| (|Boolean|) *8 *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |bas| *1) (|:| |top| (|List| *8)))) (|isDomain| *3 (|List| *8)) (|ofCategory| *1 (|TriangularSetCategory| *5 *6 *7 *8))))) 
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(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|EuclideanDomain|)) (|ofCategory| *3 (|QuotientFieldCategory| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|FractionalIdeal| *2 *3 *4 *5)) (|ofCategory| *5 (|Join| (|FramedAlgebra| *3 *4) (|RetractableTo| *3)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3 *3 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Factored| *3)) (|ofCategory| *3 (|IntegralDomain|))))) 
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(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|))))) 
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(((*1 *1 *1 *2) (AND (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PolynomialNumberTheoryFunctions|))))) 
(((*1 *2 *1 *2) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) *2)) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |op| (|BasicOperator|)) (|:| |w| (|DoubleFloat|)))) (|isDomain| *1 (|d01WeightsPackage|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BalancedBinaryTree| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *5 *4)) (|ofCategory| *5 (|Type|)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 |SortedExponentVector|)))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *1 (|InnerMatrixLinearAlgebraFunctions| *3 *4 *5 *2)) (|ofCategory| *2 (|MatrixCategory| *3 *4 *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RecursiveAggregate| *3)))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|SubSpace| *3 *4))) (|isDomain| *1 (|SubSpace| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |coef1| *1) (|:| |coef2| *1) (|:| |generator| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|ofCategory| *1 (|AffineSpaceCategory| *3))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *3 (|RetractableTo| (|Integer|))) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $)))))))))) 
(((*1 *2 *3 *3 *3 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3 *4 *3) (|partial| AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| *5))) (|:| |coeff| (|Fraction| (|Polynomial| *5))))) (|isDomain| *1 (|RationalFunctionIntegration| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5)))))) 
(((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Vector| (|List| *6))) (|isDomain| *1 (|GenExEuclid| *4 *6)) (|isDomain| *5 (|List| *6))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|WuWenTsunTriangularSet| *3 *4 *5 *6)))) ((*1 *1 *2 *3 *4) (|partial| AND (|isDomain| *2 (|List| *8)) (|isDomain| *3 (|Mapping| (|Boolean|) *8 *8)) (|isDomain| *4 (|Mapping| *8 *8 *8)) (|ofCategory| *8 (|RecursivePolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|WuWenTsunTriangularSet| *5 *6 *7 *8))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|BalancedPAdicRational| *4)) (|ofType| *4 *3) (|isDomain| *3 (|Integer|)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1 *3) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|PAdicRational| *4)) (|ofType| *4 *3) (|isDomain| *3 (|Integer|)))) ((*1 *2 *1 *3) (AND (|ofType| *4 *3) (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|PAdicRationalConstructor| *4 *5)) (|isDomain| *3 (|Integer|)) (|ofCategory| *5 (|PAdicIntegerCategory| *4)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|Fraction| (|Integer|))))) ((*1 *2 *3 *1 *2) (AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *2 *3)) (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *2 *3)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|has| *2 (SIGNATURE ** (*2 *2 *3))) (|has| *2 (SIGNATURE |coerce| (*2 (|Symbol|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *1 (|InnerNormalBasisFieldFunctions| *4))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *6 *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6 *5 *4)) (|isDomain| *1 (|MappingPackage3| *4 *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Union| "nil" "sqfr" "irred" "prime")) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|InfiniteTuple| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|XPolynomialsCat| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|not| (|has| *1 (ATTRIBUTE |arbitraryPrecision|))) (|not| (|has| *1 (ATTRIBUTE |arbitraryExponent|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|OrderedMultisetAggregate| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|OrderedSet|))) ((*1 *1) (|isDomain| *1 (|SingleInteger|)))) 
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(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *1 *1 *1) (|partial| AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *2 *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *3 *3 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *3 "failed") *3 *3 *4)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|ModularField| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *4 *5 *6 *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoid|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionSpace| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|MyExpression| *3 *4)) (|ofType| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|Ring|) (|OrderedSet|) (|IntegralDomain|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *1 *3) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *5 *5)) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *4 *5)) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5 *4 *6 *7) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|String|)) (|isDomain| *6 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp73| PDEF)))) (|isDomain| *7 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp74| BNDY)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPartialDifferentialEquationsPackage|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|Group|))) ((*1 *1 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)))) ((*1 *1 *1) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|PartitionsAndPermutations|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *1 *1) (|isDomain| *1 (|Partition|))) ((*1 *1 *1) (AND (|ofCategory| *1 (|QuaternionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OpenMathErrorKind|)) (|isDomain| *1 (|OpenMathError|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OrdSetInts|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|QueryEquation|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingNode| *2 *3)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *1) (|isDomain| *1 (|OpenMathEncoding|)))) 
(((*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 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|FortranPackage|))))) 
(((*1 *1 *1 *2 *1) (AND (|isDomain| *1 (|BinaryTree| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *1 (|BinaryTree| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|ComplexCategory| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *1) (|partial| |ofCategory| *1 (|IntegralDomain|))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *1) (|partial| |isDomain| *1 (|NonNegativeInteger|))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *4)))) ((*1 *1 *1 *2) (|partial| AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *2 *5 *6)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *4 *2)) (|ofCategory| *6 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *2 *2) (|partial| AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerAlgebraicNumber|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorization| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldFactorizationWithSizeParseBySideEffect| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *7))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|TexFormat|))))) 
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(((*1 *1 *2 *3) (AND (|isDomain| *1 (|FourierSeries| *3 *2)) (|ofCategory| *3 (|Join| (|CommutativeRing|) (|Algebra| (|Fraction| (|Integer|))))) (|ofCategory| *2 (|Join| (|OrderedSet|) (|AbelianGroup|)))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PartialFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Stack| (|String|))) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
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(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|SparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|AlgebraicFunction| *4 *2))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PlottablePlaneCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PlottableSpaceCurveCategory|)) (|isDomain| *2 (|Segment| (|DoubleFloat|)))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)) (|isDomain| *2 (|Void|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *4 (|Field|)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|MatrixCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|FiniteLinearAggregate| *2)) (|ofCategory| *4 (|FiniteLinearAggregate| *2))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ExpressionSpace|)))) ((*1 *1 *1) (|ofCategory| *1 (|ExpressionSpace|))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|PolynomialCategory| *3 *5 *4)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *2)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) (|isDomain| *1 (|ODEIntensityFunctionsTable|))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|MatrixLinearAlgebraFunctions| *3 *4 *5 *6)) (|ofCategory| *6 (|MatrixCategory| *3 *4 *5)))) ((*1 *2 *3 *3) (AND (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|ModularHermitianRowReduction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Vector| *5)) (|ofCategory| *5 (|LinearlyExplicitRingOver| *4)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Vector| *4)) (|isDomain| *1 (|LinearDependence| *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Union| (|NonNegativeInteger|) "arbitrary")) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Vector| *1)) (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *4)) (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|SparseEchelonMatrix| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *2 *1 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|AffineSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|TwoDimensionalArrayCategory| *2 *4 *5)) (|ofCategory| *2 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *2)) (|ofCategory| *5 (|FiniteLinearAggregate| *2)))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 "right") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 "left") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|EltableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *2 (|Any|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *1 (|Library|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 (|UniversalSegment| (|Integer|))) (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|LinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 "value") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|RecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *2) (AND (|isDomain| *1 (|Reference| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|ofCategory| *1 (|TableAggregate| *3 *2)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 "last") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1 *2 *1) (AND (|isDomain| *2 "rest") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *3 "first") (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|UnaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|StreamAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ComplexCategory| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|RealNumberSystem|)) (|ofCategory| *3 (|TranscendentalFunctionCategory|)) (|isDomain| *2 (|Record| (|:| |r| *3) (|:| |phi| *3)))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1 *1) (|ofCategory| *1 (|BitAggregate|)))) 
(((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *1 *2 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *4)) (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|Multiset| *4)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Multiset| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *1 (|SplittingTree| *3 *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *4)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *4 *3 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *5 (|DifferentialVariableCategory| *3)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|DifferentialVariableCategory| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|PositiveInteger|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|FiniteDivisor| *4 *5 *6 *7)) (|ofCategory| *4 (|Join| (|Finite|) (|Field|))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|ofCategory| *7 (|FunctionFieldCategory| *4 *5 *6)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FindOrderFinite| *4 *5 *6 *7)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FieldOfPrimeCharacteristic|)) (|isDomain| *2 (|OnePointCompletion| (|PositiveInteger|))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|InnerTaylorSeries| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|LaurentPolynomial| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1 *3 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1 *3) (AND (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *4 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|FiniteDivisor| *5 *6 *7 *8)) (|ofCategory| *5 (|FunctionSpace| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|ofCategory| *7 (|UnivariatePolynomialCategory| (|Fraction| *6))) (|ofCategory| *8 (|FunctionFieldCategory| *5 *6 *7)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|) (|RetractableTo| (|Integer|)))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PointsOfFiniteOrder| *4 *5 *6 *7 *8)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|FiniteDivisor| (|Fraction| (|Integer|)) *4 *5 *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|ofCategory| *6 (|FunctionFieldCategory| (|Fraction| (|Integer|)) *4 *5)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|PointsOfFiniteOrderRational| *4 *5 *6)))) ((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|FiniteDivisor| *6 *7 *4 *8)) (|isDomain| *5 (|Mapping| *9 *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *7))) (|ofCategory| *8 (|FunctionFieldCategory| *6 *7 *4)) (|ofCategory| *9 (|Join| (|Finite|) (|Field|))) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|ReducedDivisor| *6 *7 *4 *8 *9)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *2 *1 *2) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|))))) 
(((*1 *2 *3 *2 *4 *5) (AND (|isDomain| *2 (|List| *3)) (|isDomain| *5 (|PositiveInteger|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *4 (|EuclideanDomain|)) (|isDomain| *1 (|GeneralHenselPackage| *4 *3))))) 
(((*1 *2 *3 *4 *4 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|Collection| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|InfiniteTuple| *3)))) ((*1 *1 *2 *1) (AND (|isDomain| *2 (|Mapping| (|Boolean|) *3)) (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *1 *3) (|partial| AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *3 *2)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|Tuple| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|CharacteristicZero|)) (|ofCategory| *2 (|EuclideanDomain|)) (|ofCategory| *2 (|GcdDomain|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|QuasiAlgebraicSet| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *4 *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|AlgebraicNumber|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|SimplifyAlgebraicNumberConvertPackage|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ToolsForSign| *4)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SExpressionCategory| *3 *4 *5 *6 *7)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *7 (|SetCategory|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|FloatingPointSystem|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|PositiveInteger|))) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *7 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|MatrixManipulation| *5 *6 *7 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *7))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|TwoDimensionalArrayCategory| *3 *4 *5)) (|ofCategory| *3 (|Type|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3 *4 *5 *5 *6) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|)))) ((*1 *2 *3 *4 *5 *5 *6 *3 *3 *3 *3) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *6 (|Mapping| (|Void|) (|Vector| *5) (|Vector| *5) (|Float|))) (|isDomain| *3 (|Vector| (|Float|))) (|isDomain| *5 (|Float|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|NumericalOrdinaryDifferentialEquations|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|SimpleCell| *3 *2)) (|ofCategory| *3 (|RealClosedField|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
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(((*1 *2) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *2 (|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|)))))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|String|)) (|isDomain| *1 (|d01AgentsPackage|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
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(|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
(((*1 *2 *3 *4 *5 *3 *6 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Complex| (|DoubleFloat|))) (|isDomain| *6 (|String|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Stream| (|List| (|Integer|)))) (|isDomain| *1 (|PartitionsAndPermutations|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|IntegerNumberSystem|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *1 (|Stream| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|PartialFraction| *2)) (|ofCategory| *2 (|EuclideanDomain|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|EuclideanDomain|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *2 (|Record| (|:| |Hermite| *3) (|:| |eqMat| *3))) (|isDomain| *1 (|SmithNormalForm| *4 *5 *6 *3)) (|ofCategory| *3 (|MatrixCategory| *4 *5 *6))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|Segment| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6))))) 
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(((*1 *2 *1) (|partial| AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|OutputForm|))))) 
(((*1 *1 *1 *1 *2) (|partial| AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *3)) (|ofCategory| *3 (|Ring|))))) 
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(((*1 *1) (|isDomain| *1 (|Boolean|)))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
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(((*1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *1 *2 *3) (AND (|ofCategory| *1 (|FreeModuleCat| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|OrderedFreeMonoid| *4)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *1 (|XFreeAlgebra| *4 *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|OpenMathErrorKind|)) (|isDomain| *3 (|List| (|Symbol|))) (|isDomain| *1 (|OpenMathError|))))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *1)) (|isDomain| *4 (|Vector| *1)) (|ofCategory| *1 (|LinearlyExplicitRingOver| *5)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |mat| (|Matrix| *5)) (|:| |vec| (|Vector| *5)))))) ((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *1)) (|ofCategory| *1 (|LinearlyExplicitRingOver| *4)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Matrix| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FourierComponent| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|has| *1 (ATTRIBUTE |arbitraryPrecision|)) (|ofCategory| *1 (|FloatingPointSystem|)) (|isDomain| *2 (|PositiveInteger|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|IndexedBits| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3 *4 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|RegularChain| *5 *6))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Polynomial| *5))) (|isDomain| *4 (|Boolean|)) (|ofCategory| *5 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|RegularChain| *5 *6))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *5 *6 *7)) (|ofType| *6 (|List| (|Symbol|))) (|ofType| *7 (|List| (|Symbol|))))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Polynomial| *4))) (|ofCategory| *4 (|Join| (|OrderedRing|) (|EuclideanDomain|) (|CharacteristicZero|) (|RealConstant|))) (|isDomain| *2 (|List| (|RegularChain| *4 *5))) (|isDomain| *1 (|ZeroDimensionalSolvePackage| *4 *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|List| (|Symbol|)))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranType|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|PolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *5 *6 *2))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *2 *1) (AND (|isDomain| *2 (|XRecursivePolynomial| *3 *4)) (|ofCategory| *1 (|FreeLieAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|CommutativeRing|)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|FreeMonoid| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *2) (|partial| AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (|partial| AND (|isDomain| *1 (|OrderedFreeMonoid| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|XFreeAlgebra| *2 *3)) (|ofCategory| *2 (|OrderedSet|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|LocalPowerSeriesCategory| *2)) (|ofCategory| *2 (|Field|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *3 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagOptimisationPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| *2)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|isDomain| *1 (|IntegralBasisTools| *2 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *2 *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SquareMatrixCategory| *3 *2 *4 *5)) (|ofCategory| *4 (|DirectProductCategory| *3 *2)) (|ofCategory| *5 (|DirectProductCategory| *3 *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Vector| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Record| (|:| |additions| (|Integer|)) (|:| |multiplications| (|Integer|)) (|:| |exponentiations| (|Integer|)) (|:| |functionCalls| (|Integer|)))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
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(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| (|Matrix| *3))) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Mapping| *3 *3)) (|isDomain| *1 (|IncrementingMaps| *3)) (|ofCategory| *3 (|Join| (|Monoid|) (|AbelianSemiGroup|)))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|RoutinesTable|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| (|Integer|)))) (|isDomain| *1 (|PointsOfFiniteOrderTools| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Fraction| *3)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|UnivariatePolynomialCategory| (|Fraction| *2))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|PointsOfFiniteOrderTools| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *4)))))) 
(((*1 *2 *3 *3 *4 *5 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSeriesSummationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| (|Complex| (|Fraction| (|Integer|))))) (|isDomain| *2 (|List| (|Complex| *4))) (|isDomain| *1 (|NumericComplexEigenPackage| *4)) (|ofCategory| *4 (|Join| (|Field|) (|OrderedRing|)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Polynomial| *3))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *2 *2 *3 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|UnivariatePolynomialMultiplicationPackage| *4 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FortranScalarType|))))) 
(((*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 *1 *2 *3) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|isDomain| *3 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Polynomial| *1)) (|ofCategory| *1 (|AlgebraicallyClosedField|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Symbol|)) (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1) (AND (|ofCategory| *1 (|AlgebraicallyClosedFunctionSpace| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|GcdDomain|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *6 *5)) (|isDomain| *4 (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| *5)) (|ofCategory| *5 (|FiniteFieldCategory|)) (|ofType| *6 (|List| (|Symbol|))) (|isDomain| *2 (|DistributedMultivariatePolynomial| *6 (|PseudoAlgebraicClosureOfFiniteField| *5))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *5 *6 *7)) (|ofCategory| *7 (|BlowUpMethodCategory|)))) ((*1 *2 *2 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|ofCategory| *5 (|Field|)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *5 *2 *6 *7 *3)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *5 *6)) (|ofCategory| *3 (|ProjectiveSpaceCategory| *5)))) ((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *1 (|PolynomialPackageForCurve| *4 *2 *5 *6 *3)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *4 *5)) (|ofCategory| *3 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|DirectProductCategory| *6 (|NonNegativeInteger|))) (|ofType| *6 (|NonNegativeInteger|)) (|isDomain| *2 (|Record| (|:| |height| (|Integer|)) (|:| |base| (|Integer|)) (|:| |quotient| (|Integer|)) (|:| |reste| (|Integer|)) (|:| |type| (|Union| "left" "center" "right" "vertical" "horizontal")))) (|isDomain| *1 (|NewtonPolygon| *4 *3 *5 *6)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *5)) (|ofCategory| *5 (|FiniteAbelianMonoidRing| *4 *6)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Record| (|:| |height| (|Integer|)) (|:| |base| (|Integer|)) (|:| |quotient| (|Integer|)) (|:| |reste| (|Integer|)) (|:| |type| (|Union| "left" "center" "right" "vertical" "horizontal")))) (|isDomain| *1 (|NewtonPolygon| *4 *5 *6 *7))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|Mapping| (|Union| (|Record| (|:| |ratpart| *6) (|:| |coeff| *6)) "failed") *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|Record| (|:| |answer| (|IntegrationResult| (|Fraction| *7))) (|:| |a0| *6))) (|isDomain| *1 (|TranscendentalIntegration| *6 *7)) (|isDomain| *3 (|Fraction| *7))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|isDomain| *1 (|HeuGcd| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1 *2 *3 *1) (AND (|isDomain| *2 (|Pattern| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|PatternMatchResult| *4 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|StochasticDifferential| *2)) (|ofCategory| *2 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Permutation| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|List| (|NonNegativeInteger|))) (|isDomain| *1 (|PermutationGroup| *4))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *2 (|PlacesCategory| *5 *8)) (|isDomain| *1 (|LocalParametrizationOfSimplePointPackage| *5 *6 *4 *7 *3 *8 *2)) (|ofCategory| *4 (|PolynomialCategory| *5 *7 (|OrderedVariableList| *6))) (|ofCategory| *3 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *5))))) 
(((*1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1) (|isDomain| *1 (|Float|)))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *2 (|Complex| *5)) (|isDomain| *1 (|InnerTrigonometricManipulations| *4 *5 *3)) (|ofCategory| *5 (|Join| (|FunctionSpace| *4) (|RadicalCategory|) (|TranscendentalFunctionCategory|))) (|ofCategory| *3 (|Join| (|FunctionSpace| (|Complex| *4)) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|List| (|DoubleFloat|))) (|isDomain| *1 (|d01WeightsPackage|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *1 *2 *2 *2) (AND (|isDomain| *1 (|ParametricSurface| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|BinaryExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|DecimalExpansion|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|HexadecimalExpansion|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|QuotientFieldCategory| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|EuclideanDomain|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealNumberSystem|)))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|Integer|)))) (|isDomain| *1 (|CyclotomicPolynomialPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*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 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *3)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6))))) 
(((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Kernel| *6)) (|ofCategory| *6 (|Join| (|FunctionSpace| *5) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| *6)))) (|isDomain| *1 (|GenusZeroIntegration| *5 *6 *7)) (|isDomain| *3 (|SparseUnivariatePolynomial| *6)) (|ofCategory| *7 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)) (|isDomain| *1 (|ModMonic| *3 *2)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MonogenicAlgebra| *3 *2)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *3 *4 *4 *5 *6 *7 *8) (|partial| AND (|isDomain| *4 (|SparseUnivariatePolynomial| *11)) (|isDomain| *6 (|List| *10)) (|isDomain| *7 (|List| (|NonNegativeInteger|))) (|isDomain| *8 (|List| *11)) (|ofCategory| *10 (|OrderedSet|)) (|ofCategory| *11 (|EuclideanDomain|)) (|ofCategory| *9 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|PolynomialCategory| *11 *9 *10)) (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| *5))) (|isDomain| *1 (|MultivariateSquareFree| *9 *10 *11 *5)) (|isDomain| *3 (|SparseUnivariatePolynomial| *5)))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|PseudoAlgebraicClosureOfPerfectFieldCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|ResidueRing| *3 *4 *5 *2 *6)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofType| *6 (|List| *2))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3 *3 *2) (|partial| AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *3 (|Join| (|Monoid|) (|Finite|) (CATEGORY |package| (SIGNATURE ** (*3 *3 (|Integer|)))))) (|isDomain| *1 (|DiscreteLogarithmPackage| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Partition|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SubSpace| *2 *3)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Matrix| (|Fraction| *4)))))) 
(((*1 *1 *1) (|ofCategory| *1 (|PAdicIntegerCategory| *2)))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
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(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
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(((*1 *1 *1) (|partial| |ofCategory| *1 (|StepThrough|)))) 
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(((*1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
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(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranOutputStackPackage|))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
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(((*1 *2 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
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(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|MergeThing| *3))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Character|))))) 
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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 *1) (AND (|isDomain| *1 (|CartesianTensor| *2 *3 *4)) (|ofType| *2 (|Integer|)) (|ofType| *3 (|NonNegativeInteger|)) (|ofCategory| *4 (|CommutativeRing|))))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
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(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *5 (|Segment| (|DoubleFloat|))) (|isDomain| *2 (|Plot|)) (|isDomain| *1 (|PlotFunctions1| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|isDomain| *2 (|Plot|)) (|isDomain| *1 (|PlotFunctions1| *3)) (|ofCategory| *3 (|ConvertibleTo| (|InputForm|))))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *1 (|Plot|)))) ((*1 *1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|isDomain| *3 (|Segment| (|DoubleFloat|))) (|isDomain| *1 (|Plot|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|isDomain| *1 (|HexadecimalExpansion|))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|Fraction| *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *3 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)))) (|isDomain| *1 (|RationalIntegration| *3 *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|MonogenicLinearOperator| *3)) (|isDomain| *1 (|OppositeMonogenicLinearOperator| *2 *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *2)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|NumberTheoreticPolynomialFunctions| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *6 (|Join| (|IntegralDomain|) (|OrderedSet|))) (|isDomain| *2 (|List| (|Expression| *6))) (|isDomain| *1 (|DegreeReductionPackage| *5 *6)) (|isDomain| *3 (|Expression| *6)) (|ofCategory| *5 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|IntegrationResult| *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedFunctionSpace| *4) (|TranscendentalFunctionCategory|))) (|ofCategory| *4 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|List| *5)) (|isDomain| *1 (|IntegrationResultToFunction| *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *3 (|IntegrationResult| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|List| (|Expression| *4))) (|isDomain| *1 (|IntegrationResultRFToFunction| *4)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentExpansionCategory| *3 *2)) (|ofCategory| *3 (|OrderedRing|)) (|ofCategory| *2 (|StreamAggregate| *3)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|SegmentExpansionCategory| *4 *2)) (|ofCategory| *4 (|OrderedRing|)) (|ofCategory| *2 (|StreamAggregate| *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|XDistributedPolynomial| (|Symbol|) *3)) (|isDomain| *1 (|XPolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|XDistributedPolynomial| *3 *4)) (|isDomain| *1 (|XRecursivePolynomial| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|))))) 
(((*1 *1 *1) (|ofCategory| *1 (|ArcHyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))) 
(((*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 *4 *4 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|GenExEuclid| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|isDomain| *1 (|GeneralHenselPackage| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2 *3) (AND (|ofCategory| *3 (|EuclideanDomain|)) (|ofType| *4 *3) (|ofType| *5 (|Mapping| *3 *3 (|NonNegativeInteger|))) (|isDomain| *1 (|InnerModularGcd| *3 *2 *4 *5)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
(((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *4)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4)) (|has| $ (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *4))))) 
(((*1 *2) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Matrix| (|Fraction| *4)))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ApplicationProgramInterface|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| *3)))) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *1 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|OppositeMonogenicLinearOperator| *2 *3)) (|ofCategory| *2 (|MonogenicLinearOperator| *3))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *3 (|RealClosedField|)) (|isDomain| *1 (|SimpleCell| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2 *3 *3 *4 *5) (AND (|isDomain| *3 (|List| (|Matrix| *6))) (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Integer|)) (|isDomain| *2 (|Matrix| *6)) (|isDomain| *1 (|RepresentationPackage2| *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *6 (|Ring|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|List| (|Matrix| *4))) (|isDomain| *2 (|Matrix| *4)) (|isDomain| *1 (|RepresentationPackage2| *4)) (|ofCategory| *4 (|Field|)) (|ofCategory| *4 (|Ring|)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *3 (|List| (|Matrix| *5))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Matrix| *5)) (|isDomain| *1 (|RepresentationPackage2| *5)) (|ofCategory| *5 (|Field|)) (|ofCategory| *5 (|Ring|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|OutputForm|)) (|isDomain| *1 (|Any|))))) 
(((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|))))) ((*1 *2 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|BrillhartTests| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *2 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|isDomain| *1 (|PackageForPoly| *4 *3 *2 *5)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *4 *2)) (|ofType| *5 (|NonNegativeInteger|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|String|)) (|isDomain| *1 (|NumberFormats|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|BasicOperator|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
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(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
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(((*1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|OpenMathConnection|)) (|isDomain| *4 (|Any|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathServerPackage|))))) 
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(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2) (AND (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *2 (|Switch|)) (|isDomain| *1 (|FortranCode|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|DoubleFloat|))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|RealClosedField|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Float|)) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|GraphImage|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|TwoDimensionalViewport|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|Product| *2 *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *1 *1) (|isDomain| *1 (|Boolean|))) ((*1 *1 *1) (|ofCategory| *1 (|BitAggregate|))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|DivisionRing|)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Group|)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|Monoid|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|SemiGroup|)) (|isDomain| *2 (|PositiveInteger|))))) 
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(((*1 *2 *3 *3 *3 *4 *4 *5 *5 *5 *3 *5 *5 *3 *6 *3 *3 *3) (AND (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Matrix| (|Integer|))) (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *3 *2) (AND (|isDomain| *2 (|Matrix| (|Integer|))) (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1) (AND (|ofCategory| *1 (|MultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|))))) 
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(((*1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|OrderedFreeMonoid| *3)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *1 (|LyndonWord| *3))))) 
(((*1 *2) (AND (|ofCategory| *4 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|FiniteAlgebraicExtensionField&| *3 *4)) (|ofCategory| *3 (|FiniteAlgebraicExtensionField| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|ExtensionField| *3)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *4)) (|isDomain| *1 (|IrredPolyOverFiniteField| *4)) (|ofCategory| *4 (|FiniteFieldCategory|))))) 
(((*1 *2 *1 *3) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *3) (AND (|isDomain| *3 (|BasicStochasticDifferential|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|StochasticDifferential| *4)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|Aggregate|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingNode| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|EuclideanDomain|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *2 (|Mapping| *5 *5)) (|isDomain| *1 (|ODEIntegration| *4 *5)) (|ofCategory| *5 (|Join| (|AlgebraicallyClosedFunctionSpace| *4) (|TranscendentalFunctionCategory|) (|PrimitiveFunctionCategory|)))))) 
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(((*1 *1 *1) (|partial| AND (|isDomain| *1 (|CliffordAlgebra| *2 *3 *4)) (|ofType| *2 (|PositiveInteger|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|QuadraticForm| *2 *3)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *2 (|CommutativeRing|)) (|isDomain| *1 (|EuclideanModularRing| *2 *3 *4 *5 *6 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2)) (|ofCategory| *4 (|AbelianMonoid|)) (|ofType| *5 (|Mapping| *3 *3 *4)) (|ofType| *6 (|Mapping| (|Union| *4 "failed") *4 *4)) (|ofType| *7 (|Mapping| (|Union| *3 "failed") *3 *3 *4)))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1) (|partial| AND (|isDomain| *1 (|ModularRing| *2 *3 *4 *5 *6)) (|ofCategory| *2 (|CommutativeRing|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 (|Mapping| *2 *2 *3)) (|ofType| *5 (|Mapping| (|Union| *3 "failed") *3 *3)) (|ofType| *6 (|Mapping| (|Union| *2 "failed") *2 *2 *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1) (AND (|isDomain| *1 (|MoebiusTransform| *2)) (|ofCategory| *2 (|Field|)))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|MonadWithUnit|))) ((*1 *1 *1) (|partial| |ofCategory| *1 (|Monoid|))) ((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Record| (|:| |num| *3) (|:| |den| *3))) (|isDomain| *1 (|NormalizationPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3)))) ((*1 *2 *2 *1) (|partial| AND (|ofCategory| *1 (|RealRootCharacterizationCategory| *3 *2)) (|ofCategory| *3 (|Join| (|OrderedRing|) (|Field|))) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *2 *2) (|partial| AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|StreamTaylorSeriesOperations| *3))))) 
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(((*1 *2 *1 *3 *4) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TwoDimensionalViewport|))))) 
(((*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) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2) (AND (|isDomain| *2 (|List| (|BasicStochasticDifferential|))) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *1 *2) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|BasicStochasticDifferential|))))) 
(((*1 *1 *2 *2) (AND (|isDomain| *2 (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| (|Switch|)))) (|isDomain| *1 (|Switch|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|EuclideanDomain|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|isDomain| *2 (|Factored| *3)) (|isDomain| *1 (|FiniteFieldSquareFreeDecomposition| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|FiniteLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *1 (|GaloisGroupPolynomialUtilities| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *1 *2 *3) (AND (|isDomain| *2 (|PatternMatchResult| *4 *5)) (|isDomain| *3 (|PatternMatchResult| *4 *6)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|ListAggregate| *5)) (|isDomain| *1 (|PatternMatchListResult| *4 *5 *6))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|FunctionSpace| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|))))) (|isDomain| *1 (|FunctionSpaceUnivariatePolynomialFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *1 *1) (AND (|isDomain| *2 (|Record| (|:| |coef| *3) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| (|NewSparseUnivariatePolynomial| *3)) (|:| |remainder| (|NewSparseUnivariatePolynomial| *3)))) (|isDomain| *1 (|NewSparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *1 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|List| (|Point| (|DoubleFloat|))))) (|isDomain| *2 (|List| (|Segment| (|DoubleFloat|)))) (|isDomain| *1 (|PlotTools|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOption|))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |rnum| *4) (|:| |polnum| *3) (|:| |den| *4)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|SegmentCategory| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *7 (|NonNegativeInteger|))) (|ofType| *7 (|NonNegativeInteger|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|PackageForPoly| *4 *5 *6 *7)) (|ofCategory| *5 (|FiniteAbelianMonoidRing| *4 *6))))) 
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(((*1 *2 *2 *3) (|partial| AND (|ofCategory| *1 (|ModularAlgebraicGcdOperations| *2 *3)) (|ofCategory| *2 (|Type|)) (|ofCategory| *3 (|Type|))))) 
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(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Symbol|)) (|isDomain| *1 (|Kernel| *3)) (|ofCategory| *3 (|OrderedSet|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|OctonionCategory| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|List| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SplittingTree| *3 *4)) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|)))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *1 *1 *1) (AND (|isDomain| *1 (|IndexedBits| *2)) (|ofType| *2 (|Integer|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|TextFile|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *13)) (|ofCategory| *13 (|BlowUpMethodCategory|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *3 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13)) (|ofCategory| *12 (|DesingTreeCategory| *11)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *9 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *10 (|PlacesCategory| *4 *9)) (|ofCategory| *11 (|DivisorCategory| *10)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *4 *5 *6 *7 *8 *9 *10 *11 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)) (|ofCategory| *13 (|DesingTreeCategory| *12)))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *3 *4 *5)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *3) (|Finite|)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| (|PseudoAlgebraicClosureOfFiniteField| *4) (|Finite|)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *3 *4 *5)) (|ofCategory| *3 (|Finite|)) (|ofCategory| *3 (|Field|)) (|ofType| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Integer|))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *4 (|Finite|)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RecursiveAggregate| *3)) (|ofCategory| *3 (|Type|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1 *3 *3) (AND (|isDomain| *3 (|Color|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| (|List| *3))) (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|LinesOpPack| *3))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Record| (|:| |Indices| (|List| *4)) (|:| |Entries| (|List| *5)))) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SparseEchelonMatrix| *4 *5))))) 
(((*1 *2 *3 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Mapping| *2 *6)) (|isDomain| *4 (|Mapping| *6 *5)) (|ofCategory| *5 (|SetCategory|)) (|ofCategory| *6 (|SetCategory|)) (|ofCategory| *2 (|SetCategory|)) (|isDomain| *1 (|MappingPackageInternalHacks3| *5 *6 *2))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *4 (|Integer|)) (|isDomain| *1 (|GaloisGroupUtilities| *2)) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Polynomial| (|Integer|))) (|isDomain| *2 (|FortranCode|)) (|isDomain| *1 (|FortranCodePackage1|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|List| *8))) (|isDomain| *3 (|List| *8)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *2 *1) (|partial| AND (|isDomain| *2 (|BasicStochasticDifferential|)) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3 *3 *3 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|Comparable|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|) (|ConvertibleTo| (|InputForm|)))) (|isDomain| *1 (|RecurrenceOperator| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|AbelianMonoid|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Symbol|)) (|PartialDifferentialRing| (|Symbol|)) (|CombinatorialOpsCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|IntegerBits|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|Float|))))) 
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(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|EuclideanDomain|)) (|isDomain| *2 (|Boolean|))))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|AlgebraicManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|Field|) (|ExpressionSpace|) (CATEGORY |domain| (SIGNATURE |numer| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |denom| ((|SparseMultivariatePolynomial| *3 (|Kernel| $)) $)) (SIGNATURE |coerce| ($ (|SparseMultivariatePolynomial| *3 (|Kernel| $)))))))))) 
(((*1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|GaloisGroupUtilities| *3)) (|ofCategory| *3 (|Ring|))))) 
(((*1 *2 *2) (AND (|isDomain| *1 (|IntegerRoots| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| *3))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FiniteRankNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FiniteRankNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|U32Vector|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|U32VectorPolynomialOperations|))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *4 (|Mapping| *7 *7)) (|isDomain| *5 (|Mapping| (|Union| (|List| *6) "failed") (|Integer|) *6 *6)) (|ofCategory| *6 (|Field|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *6)) (|isDomain| *2 (|Record| (|:| |answer| (|IntegrationResult| (|Fraction| *7))) (|:| |a0| *6))) (|isDomain| *1 (|TranscendentalIntegration| *6 *7)) (|isDomain| *3 (|Fraction| *7))))) 
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(((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3 *4 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|ArrayStack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Dequeue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Heap| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|OrderedSet|)))) ((*1 *2 *3 *1) (AND (|has| *1 (ATTRIBUTE |finiteAggregate|)) (|ofCategory| *1 (|HomogeneousAggregate| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|Permutation| *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PermutationGroup| *4)))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Queue| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SetOfMIntegersInOneToN| *4 *5)) (|ofType| *4 *3) (|ofType| *5 *3))) ((*1 *2 *3 *1) (AND (|has| $ (ATTRIBUTE |finiteAggregate|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Stack| *3)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1) (|isDomain| *1 (|CharacterClass|))) ((*1 *1 *1) (|isDomain| *1 (|Character|))) ((*1 *1 *1) (|ofCategory| *1 (|StringAggregate|)))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|StringAggregate|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4 *3 *3 *4 *4 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *1 *1) (|ofCategory| *1 (|LiouvillianFunctionCategory|))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|LiouvillianFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|) (|TranscendentalFunctionCategory|)))))) 
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(|GuessOption|)))) (|isDomain| *1 (|GuessUnivariatePolynomial| *4)) (|ofType| *4 *3)))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *1 *1) (AND (|ofCategory| *2 (|FiniteFieldCategory|)) (|ofCategory| *2 (|Ring|)) (|isDomain| *1 (|ModMonic| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|FileCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *2 (|String|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|Expression| *5))) (|isDomain| *1 (|RadicalSolvePackage| *5)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Fraction| (|Polynomial| *5)))) (|isDomain| *4 (|List| (|Symbol|))) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|))) (|isDomain| *2 (|List| (|List| (|Expression| *5)))) (|isDomain| *1 (|RadicalSolvePackage| *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |poly| *6) (|:| |eq| *3)))) (|isDomain| *1 (|PrimitiveRatRicDE| *5 *6 *3 *7)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *6)) (|ofCategory| *7 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *6))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| (|List| *5) *6)) (|ofCategory| *5 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| (|Record| (|:| |poly| *6) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))))) (|isDomain| *1 (|RationalRicDE| *5 *6)) (|isDomain| *3 (|LinearOrdinaryDifferentialOperator2| *6 (|Fraction| *6)))))) 
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(((*1 *2 *3 *4 *4 *5 *4 *6 *4 *5) (AND (|isDomain| *3 (|String|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *6 (|Matrix| (|Integer|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagLapack|))))) 
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(((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|QuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *3 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *4 *5 *6 *7 *8)) (|ofCategory| *8 (|RegularTriangularSetCategory| *4 *5 *6 *7))))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3))) ((*1 *1 *2 *3 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3))) ((*1 *1 *1 *1) (AND (|isDomain| *1 (|ThreeDimensionalMatrix| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|FileName|)) (|isDomain| *1 (|FortranTemplate|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|FileName|)) (|isDomain| *1 (|FortranTemplate|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
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(((*1 *1 *1) (|partial| |ofCategory| *1 (|CharacteristicNonZero|))) ((*1 *1 *1) (|ofCategory| *1 (|FiniteFieldCategory|))) ((*1 *1 *1) (|partial| AND (|ofCategory| *1 (|CharacteristicNonZero|)) (|ofCategory| *1 (|PolynomialFactorizationExplicit|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|Color|))))) 
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(((*1 *2 *1 *3) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OpenMathConnection|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Symbol|)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|OrderedSet|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|IntegrationResult| *3)) (|isDomain| *1 (|FunctionSpaceComplexIntegration| *5 *3)) (|ofCategory| *3 (|Join| (|TranscendentalFunctionCategory|) (|AlgebraicallyClosedFunctionSpace| *5)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|None|)) (|isDomain| *1 (|Any|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Stream| *3)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|))))) 
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(((*1 *1 *1) (AND (|ofCategory| *1 (|FiniteSetAggregate| *2)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|Finite|))))) 
(((*1 *1) (|isDomain| *1 (|TwoDimensionalViewport|)))) 
(((*1 *2 *3 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagMatrixOperationsPackage|))))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|BasicOperator|)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|String|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|FunctionSpaceAssertions| *4 *2)) (|ofCategory| *2 (|FunctionSpace| *4)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|String|)) (|isDomain| *2 (|Expression| (|Integer|))) (|isDomain| *1 (|PatternMatchAssertions|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|String|)) (|ofCategory| *1 (|FileCategory| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *4 *6 (|OrderedVariableList| *5))) (|ofCategory| *6 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *4)) (|ofCategory| *9 (|PlacesCategory| *4 *8)) (|ofCategory| *10 (|InfinitlyClosePointCategory| *4 *5 *3 *6 *7 *8 *9 *2 *12)) (|ofCategory| *12 (|BlowUpMethodCategory|)) (|ofCategory| *2 (|DivisorCategory| *9)) (|isDomain| *1 (|GeneralPackageForAlgebraicFunctionField| *4 *5 *3 *6 *7 *8 *9 *2 *10 *11 *12)) (|ofCategory| *11 (|DesingTreeCategory| *10)))) ((*1 *2 *3 *3 *4 *5) (AND (|isDomain| *4 (|List| *13)) (|isDomain| *5 (|List| *9)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *6)) (|ofCategory| *13 (|DesingTreeCategory| *12)) (|ofCategory| *6 (|Field|)) (|ofCategory| *12 (|InfinitlyClosePointCategory| *6 *7 *3 *8 *9 *10 *11 *2 *14)) (|ofCategory| *14 (|BlowUpMethodCategory|)) (|ofType| *7 (|List| (|Symbol|))) (|ofCategory| *3 (|PolynomialCategory| *6 *8 (|OrderedVariableList| *7))) (|ofCategory| *8 (|DirectProductCategory| (|#| *7) (|NonNegativeInteger|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *6)) (|ofCategory| *11 (|PlacesCategory| *6 *10)) (|ofCategory| *2 (|DivisorCategory| *11)) (|isDomain| *1 (|IntersectionDivisorPackage| *6 *7 *3 *8 *9 *10 *11 *2 *12 *13 *14)))) ((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *4)) (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionFieldOverFiniteField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| *5 *4)) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *2 (|Divisor| (|Places| *4))) (|isDomain| *1 (|PackageForAlgebraicFunctionField| *4 *5 *6)) (|ofCategory| *6 (|BlowUpMethodCategory|))))) 
(((*1 *1 *1 *2 *3 *1) (AND (|ofCategory| *1 (|FiniteAbelianMonoidRing| *2 *3)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoid|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Point| *3) (|Point| *3))) (|isDomain| *1 (|CoordinateSystems| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|)))))) 
(((*1 *2 *3 *1) (AND (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|ofCategory| *3 (|Join| (|EuclideanDomain|) (CATEGORY |domain| (SIGNATURE |squareFree| ((|Factored| $) $))))) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|FunctionFieldIntegralBasis| *3 *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4)))) ((*1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|NumberFieldIntegralBasis| *4 *5)) (|ofCategory| *5 (|FramedAlgebra| *3 *4)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|PAdicWildFunctionFieldIntegralBasis| *4 *3 *5 *6)) (|ofCategory| *6 (|MonogenicAlgebra| *3 *5)))) ((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *3)) (|isDomain| *2 (|Record| (|:| |basis| (|Matrix| *3)) (|:| |basisDen| *3) (|:| |basisInv| (|Matrix| *3)))) (|isDomain| *1 (|WildFunctionFieldIntegralBasis| *4 *3 *5 *6)) (|ofCategory| *6 (|FramedAlgebra| *3 *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Expression| (|DoubleFloat|))) (|isDomain| *1 (|d03AgentsPackage|))))) 
(((*1 *2 *2 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|RandomIntegerDistributions|))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|Record| (|:| |radicand| (|Fraction| *5)) (|:| |deg| (|NonNegativeInteger|)))) (|isDomain| *1 (|ChangeOfVariable| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Fraction| *5)))))) 
(((*1 *1) (|isDomain| *1 (|ThreeDimensionalViewport|)))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *3 *3) (AND (|isDomain| *3 (|UnivariatePolynomial| *5 *4)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *4 (|OrderedIntegralDomain|)) (|ofType| *5 (|Symbol|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|SturmHabichtPackage| *4 *5))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|CartesianTensor| *3 *4 *5)) (|ofType| *3 (|Integer|)) (|ofType| *4 (|NonNegativeInteger|)) (|ofCategory| *5 (|CommutativeRing|))))) 
(((*1 *2 *2 *3) (|partial| AND (|isDomain| *2 (|Fraction| (|Polynomial| *4))) (|isDomain| *3 (|Symbol|)) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|RetractableTo| (|Integer|)) (|CharacteristicZero|))) (|isDomain| *1 (|RationalFunctionIntegration| *4))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |mat| (|Matrix| *5)) (|:| |vec| (|Vector| (|List| (|PositiveInteger|)))))) (|isDomain| *1 (|AssociatedEquations| *5 *3)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *5))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|QuasiComponentPackage| *3 *4 *5 *6 *7)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *3 *4 *5 *6 *7))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|Complex| (|DoubleFloat|))) (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|DoubleFloatSpecialFunctions|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|FunctionalSpecialFunction| *3 *2)) (|ofCategory| *2 (|FunctionSpace| *3)))) ((*1 *1 *1 *1) (|ofCategory| *1 (|SpecialFunctionCategory|)))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1) (AND (|ofCategory| *1 (|TriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *4 *5)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *5 (|SetCategory|))))) 
(((*1 *1 *1 *1) (|ofCategory| *1 (|Logic|))) ((*1 *1 *1 *1) (|isDomain| *1 (|SingleInteger|)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef1| *3) (|:| |coef2| *3) (|:| |discriminant| *4))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
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(((*1 *1 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|Factored| *2)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|EuclideanDomain|)) (|ofCategory| *6 (|FiniteLinearAggregate| *5)) (|ofCategory| *4 (|FiniteLinearAggregate| *5)) (|isDomain| *2 (|Record| (|:| |particular| (|Union| *4 "failed")) (|:| |basis| (|List| *4)))) (|isDomain| *1 (|SmithNormalForm| *5 *6 *4 *3)) (|ofCategory| *3 (|MatrixCategory| *5 *6 *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|InfinitlyClosePointCategory| *3 *4 *5 *6 *7 *8 *9 *10 *11)) (|ofCategory| *3 (|Field|)) (|ofCategory| *5 (|PolynomialCategory| *3 *6 (|OrderedVariableList| *4))) (|ofCategory| *6 (|DirectProductCategory| (|#| *4) (|NonNegativeInteger|))) (|ofCategory| *7 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *8 (|LocalPowerSeriesCategory| *3)) (|ofCategory| *9 (|PlacesCategory| *3 *8)) (|ofCategory| *10 (|DivisorCategory| *9)) (|ofCategory| *11 (|BlowUpMethodCategory|)) (|isDomain| *2 (|AffinePlane| *3))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Complex| (|Integer|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaussianFactorizationPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| *5 (|NonNegativeInteger|)) (|OrderedVariableList| *4) (|DistributedMultivariatePolynomial| *4 (|Fraction| (|Integer|))))) (|ofType| *4 (|List| (|Symbol|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IdealDecompositionPackage| *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IntegerPrimesPackage| *3)) (|ofCategory| *3 (|IntegerNumberSystem|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|UniqueFactorizationDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|isDomain| *1 (|OrthogonalPolynomialFunctions| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Union| (|:| |nullBranch| "null") (|:| |assignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |arrayIndex| (|List| (|Polynomial| (|Integer|)))) (|:| |rand| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |arrayAssignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |rand| (|OutputForm|)) (|:| |ints2Floats?| (|Boolean|)))) (|:| |conditionalBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |thenClause| (|FortranCode|)) (|:| |elseClause| (|FortranCode|)))) (|:| |returnBranch| (|Record| (|:| |empty?| (|Boolean|)) (|:| |value| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |blockBranch| (|List| (|FortranCode|))) (|:| |commentBranch| (|List| (|String|))) (|:| |callBranch| (|String|)) (|:| |forBranch| (|Record| (|:| |range| (|SegmentBinding| (|Polynomial| (|Integer|)))) (|:| |span| (|Polynomial| (|Integer|))) (|:| |body| (|FortranCode|)))) (|:| |labelBranch| (|SingleInteger|)) (|:| |loopBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |body| (|FortranCode|)))) (|:| |commonBranch| (|Record| (|:| |name| (|Symbol|)) (|:| |contents| (|List| (|Symbol|))))) (|:| |printBranch| (|List| (|OutputForm|))))) (|isDomain| *1 (|FortranCode|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|PolynomialSetCategory| *3 *4 *5 *6)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 *5 *5)) (|ofCategory| *5 (|UnivariateTaylorSeriesCategory| *4)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *2 (|Mapping| (|Stream| *4) (|Stream| *4) (|Stream| *4))) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *5))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Cell| *4)) (|ofCategory| *4 (|RealClosedField|)))) ((*1 *2 *1) (AND (|ofCategory| *3 (|RealClosedField|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SimpleCell| *3 *4)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|VectorCategory| *3)) (|ofCategory| *3 (|Type|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Matrix| *3))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Record| (|:| |sub| (|List| (|OutputForm|))) (|:| |sup| (|List| (|OutputForm|))) (|:| |presup| (|List| (|OutputForm|))) (|:| |presub| (|List| (|OutputForm|))) (|:| |args| (|List| (|OutputForm|))))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *3 *4 *4 *5) (|partial| AND (|isDomain| *4 (|Kernel| *3)) (|isDomain| *5 (|List| *3)) (|ofCategory| *3 (|Join| (|FunctionSpace| *6) (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|RetractableTo| (|Integer|)) (|OrderedSet|) (|CharacteristicZero|) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Record| (|:| |mainpart| *3) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| *3) (|:| |logand| *3)))))) (|isDomain| *1 (|PureAlgebraicIntegration| *6 *3 *7)) (|ofCategory| *7 (|SetCategory|))))) 
(((*1 *1 *1) (|isDomain| *1 (|Boolean|)))) 
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(((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1) (|ofCategory| *1 (|RadicalCategory|))) ((*1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Fraction| (|Integer|))) (|ofCategory| *1 (|RealClosedField|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RealClosedField|)) (|isDomain| *2 (|NonNegativeInteger|)))) ((*1 *1 *1) (|ofCategory| *1 (|RealClosedField|)))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d01AgentsPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *3 *4 *5 *6))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|OrderedVariableList| *5))) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| *5 *6))) (|:| |coords| (|List| (|Integer|))))) (|isDomain| *1 (|GroebnerSolve| *5 *6 *7)) (|isDomain| *3 (|List| (|DistributedMultivariatePolynomial| *5 *6))) (|ofCategory| *7 (|GcdDomain|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *3 (|Field|)) (|isDomain| *1 (|EllipticFunctionsUnivariateTaylorSeries| *3 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *3))))) 
(((*1 *2 *3 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|Record| (|:| |coef| *4) (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|PseudoRemainderSequence| *4 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |coef| *3) (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|BinaryRecursiveAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|LyndonWord| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (AND (|isDomain| *1 (|Magma| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|OutputForm|)))) ((*1 *2 *1) (AND (|ofCategory| *2 (|Join| (|OrderedRing|) (|Field|))) (|isDomain| *1 (|RightOpenIntervalRootCharacterization| *2 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|AlgebraicallyClosedField|)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Integer|)) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|isDomain| *2 (|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5)))) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorFactorizer| *4 *5)) (|isDomain| *3 (|LinearOrdinaryDifferentialOperator1| (|Fraction| *5)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|OrderedCompletion| *3))) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *5))) (|ofCategory| *5 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|Union| (|OrderedCompletion| *3) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| *3) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| *3) "failed"))) "failed")) (|isDomain| *1 (|PowerSeriesLimitPackage| *5 *3)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Equation| *3)) (|isDomain| *5 (|String|)) (|ofCategory| *3 (|Join| (|AlgebraicallyClosedField|) (|TranscendentalFunctionCategory|) (|FunctionSpace| *6))) (|ofCategory| *6 (|Join| (|GcdDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)) (|LinearlyExplicitRingOver| (|Integer|)))) (|isDomain| *2 (|OrderedCompletion| *3)) (|isDomain| *1 (|PowerSeriesLimitPackage| *6 *3)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|OrderedCompletion| (|Polynomial| *5)))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| *5))) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| *5))) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| *5))) "failed"))) "failed")) (|isDomain| *1 (|RationalFunctionLimitPackage| *5)) (|isDomain| *3 (|Fraction| (|Polynomial| *5))))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|Equation| (|Fraction| (|Polynomial| *5)))) (|isDomain| *3 (|Fraction| (|Polynomial| *5))) (|ofCategory| *5 (|GcdDomain|)) (|isDomain| *2 (|Union| (|OrderedCompletion| *3) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| *3) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| *3) "failed"))) "failed")) (|isDomain| *1 (|RationalFunctionLimitPackage| *5)))) ((*1 *2 *3 *4 *5) (|partial| AND (|isDomain| *4 (|Equation| (|Fraction| (|Polynomial| *6)))) (|isDomain| *5 (|String|)) (|isDomain| *3 (|Fraction| (|Polynomial| *6))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|OrderedCompletion| *3)) (|isDomain| *1 (|RationalFunctionLimitPackage| *6))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|List| (|SparseUnivariatePolynomial| (|Integer|)))) (|isDomain| *1 (|CyclotomicPolynomialPackage|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Point| *3)) (|ofCategory| *3 (|Join| (|Field|) (|TranscendentalFunctionCategory|) (|RadicalCategory|))) (|isDomain| *1 (|CoordinateSystems| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) (AND (|isDomain| *3 (|Mapping| (|Float|) (|Float|))) (|isDomain| *4 (|Float|)) (|isDomain| *2 (|Record| (|:| |value| *4) (|:| |error| *4) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|)))) (|isDomain| *1 (|NumericalQuadrature|)) (|isDomain| *5 (|Integer|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|String|))) (|isDomain| *3 (|String|)) (|isDomain| *2 (|Exit|)) (|isDomain| *1 (|ErrorFunctions|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *2 (|OrderedSet|)) (|isDomain| *1 (|BasicOperatorFunctions1| *2))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|AffineSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|AffineSpaceCategory| *4)) (|ofCategory| *4 (|Field|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *3)) (|ofCategory| *3 (|Field|)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|ProjectiveSpaceCategory| *4)) (|ofCategory| *4 (|Field|))))) 
(((*1 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|AlgebraPackage| *3 *4)) (|ofCategory| *4 (|FramedNonAssociativeAlgebra| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|XFreeAlgebra| *3 *4)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|XPolynomialRing| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedMonoid|))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|DrawOption|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|isDomain| *2 (|List| (|Vector| *5))) (|isDomain| *1 (|InterpolateFormsPackage| *5 *6 *7 *8 *9 *10 *11 *3)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *3 (|DivisorCategory| *11))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *5)) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *5 *7)) (|isDomain| *1 (|BlowUpPackage| *5 *6 *2 *7 *4)) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *4 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|isDomain| *2 (|List| (|Record| (|:| C (|Matrix| *5)) (|:| |g| (|Vector| *5))))) (|isDomain| *1 (|PseudoLinearNormalForm| *5)) (|isDomain| *3 (|Matrix| *5)) (|isDomain| *4 (|Vector| *5))))) 
(((*1 *2) (AND (|isDomain| *2 (|Table| (|StochasticDifferential| *3) (|StochasticDifferential| *3))) (|isDomain| *1 (|StochasticDifferential| *3)) (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Mapping| *5 *5)) (|ofCategory| *1 (|FunctionFieldCategory| *4 *5 *6)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *5 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| (|Fraction| *5))) (|isDomain| *2 (|Record| (|:| |num| (|Matrix| *5)) (|:| |den| *5)))))) 
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(((*1 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Plot|))))) 
(((*1 *2 *3 *4 *2 *3 *2 *3) (AND (|isDomain| *2 (|PrimitiveArray| (|DoubleFloat|))) (|isDomain| *3 (|SingleInteger|)) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
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(((*1 *2 *2 *2 *2 *2 *2) (AND (|ofCategory| *2 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *2)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *2))))) 
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(((*1 *1 *2 *1 *3) (AND (|isDomain| *2 (|Vector| (|Expression| *4))) (|isDomain| *3 (|SquareMatrix| (|#| *5) (|Expression| *4))) (|ofCategory| *4 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *5 (|List| (|Symbol|))) (|isDomain| *1 (|DeRhamComplex| *4 *5))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|))) ((*1 *2 *1 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PermutationGroup| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
(((*1 *2 *3) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|)) (|isDomain| *3 (|Integer|))))) 
(((*1 *2 *3 *3 *4 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *1) (|partial| AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|Record| (|:| |goodPols| (|List| *7)) (|:| |badPols| (|List| *7)))) (|isDomain| *1 (|PolynomialSetUtilitiesPackage| *4 *5 *6 *7)) (|isDomain| *3 (|List| *7))))) 
(((*1 *2 *3 *4 *5) (AND (|isDomain| *3 (|Vector| *6)) (|isDomain| *4 (|Vector| (|Integer|))) (|isDomain| *5 (|Integer|)) (|ofCategory| *6 (|SetCategory|)) (|isDomain| *2 (|Mapping| *6)) (|isDomain| *1 (|RandomDistributions| *6))))) 
(((*1 *1 *2 *3 *4) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| (|NonNegativeInteger|))) (|isDomain| *4 (|Integer|)) (|ofCategory| *1 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *5 (|Field|))))) 
(((*1 *2 *1 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |coef| *1) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| *1))) (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|List| *1)) (|ofCategory| *1 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3 *1 *4) (AND (|isDomain| *4 (|Mapping| (|Boolean|) *3 *3)) (|ofCategory| *1 (|TriangularSetCategory| *5 *6 *7 *3)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FiniteFieldCategory|)) (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Table| (|PositiveInteger|) (|NonNegativeInteger|)))))) 
(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|MonadWithUnit|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|Monoid|)) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *3) (|partial| AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|NumberFormats|))))) 
(((*1 *2 *2 *3) (AND (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $))))) (|ofCategory| *5 (|IntegralDomain|)) (|isDomain| *1 (|MPolyCatRationalFunctionFactorizer| *4 *3 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Fraction| (|Polynomial| *5)) *4 *3)))) ((*1 *2 *2 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|isDomain| *1 (|PushVariables| *4 *5 *3 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *3)))) ((*1 *2 *2 *3) (AND (|isDomain| *3 (|List| *6)) (|ofCategory| *6 (|Join| (|OrderedSet|) (CATEGORY |domain| (SIGNATURE |convert| ((|Symbol|) $)) (SIGNATURE |variable| ((|Union| $ "failed") (|Symbol|)))))) (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *1 (|PushVariables| *4 *5 *6 *2)) (|ofCategory| *2 (|PolynomialCategory| (|Polynomial| *4) *5 *6))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|Character|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| (|Polynomial| *4)))) (|ofCategory| *4 (|RealClosedField|)) (|isDomain| *2 (|List| (|Polynomial| *4))) (|isDomain| *1 (|CylindricalAlgebraicDecompositionPackage| *4))))) 
(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Boolean|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|List| (|Mapping| *4 (|List| *4)))) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|BasicOperatorFunctions1| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|BasicOperator|)) (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *4 (|SetCategory|)) (|isDomain| *1 (|BasicOperatorFunctions1| *4)))) ((*1 *2 *3) (|partial| AND (|isDomain| *3 (|BasicOperator|)) (|isDomain| *2 (|List| (|Mapping| *4 (|List| *4)))) (|isDomain| *1 (|BasicOperatorFunctions1| *4)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
(((*1 *1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
(((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *4 *3 *5)) (|ofCategory| *4 (|UniqueFactorizationDomain|)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *4)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *3))) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *3) (AND (|ofCategory| *1 (|FunctionFieldCategory| *3 *4 *5)) (|ofCategory| *3 (|UniqueFactorizationDomain|)) (|ofCategory| *4 (|UnivariatePolynomialCategory| *3)) (|ofCategory| *5 (|UnivariatePolynomialCategory| (|Fraction| *4))) (|isDomain| *2 (|Boolean|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3)) (|isDomain| *2 (|List| (|List| *3))))) ((*1 *2 *1) (AND (|ofCategory| *1 (|RectangularMatrixCategory| *3 *4 *5 *6 *7)) (|ofCategory| *5 (|Ring|)) (|ofCategory| *6 (|DirectProductCategory| *4 *5)) (|ofCategory| *7 (|DirectProductCategory| *3 *5)) (|isDomain| *2 (|List| (|List| *5))))) ((*1 *2 *1) (AND (|isDomain| *2 (|List| (|List| *3))) (|isDomain| *1 (|Tableau| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|AttributeButtons|))))) 
(((*1 *2 *1 *1 *3) (AND (|ofCategory| *4 (|Ring|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *3 (|OrderedSet|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|PolynomialCategory| *4 *5 *3)))) ((*1 *2 *1 *1) (AND (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|ArrayStack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|ofCategory| *1 (|BagAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|BinarySearchTree| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|BinaryTournament| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Dequeue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|ExtensibleLinearAggregate| *2)) (|ofCategory| *2 (|Type|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Heap| *2)) (|ofCategory| *2 (|OrderedSet|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) (|isDomain| *1 (|IntegrationFunctionsTable|)))) ((*1 *1 *2 *1 *3) (AND (|isDomain| *3 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultiDictionary| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) (|isDomain| *1 (|ODEIntensityFunctionsTable|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Queue| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *1 *2 *1) (AND (|isDomain| *1 (|Stack| *2)) (|ofCategory| *2 (|SetCategory|)))) ((*1 *2 *3 *4) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
(((*1 *2) (AND (|isDomain| *2 (|ThreeSpace| (|DoubleFloat|))) (|isDomain| *1 (|TopLevelThreeSpace|))))) 
(((*1 *2 *3 *4 *3 *4 *3 *5 *5) (AND (|isDomain| *3 (|SingleInteger|)) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|List| (|PrimitiveArray| *5))) (|isDomain| *1 (|BlasLevelOne|)) (|isDomain| *4 (|PrimitiveArray| *5))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *3 (|Mapping| (|Boolean|) *4 *4)) (|ofCategory| *4 (|Type|)) (|isDomain| *1 (|FiniteLinearAggregateSort| *4 *2)) (|ofCategory| *2 (|Join| (|FiniteLinearAggregate| *4) (CATEGORY |package| (ATTRIBUTE |shallowlyMutable|))))))) 
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(((*1 *2 *2) (AND (|isDomain| *1 (|IntegerPrimesPackage| *2)) (|ofCategory| *2 (|IntegerNumberSystem|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|Complex| (|DoubleFloat|))) (|isDomain| *2 (|DoubleFloat|)) (|isDomain| *1 (|BlasLevelOne|))))) 
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(((*1 *2 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *3 (|Boolean|)) (|isDomain| *1 (|SymmetricGroupCombinatoricFunctions|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|)))) ((*1 *2 *3 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|AttributeButtons|))))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|Integer|))) (|isDomain| *2 (|PermutationGroup| (|Integer|))) (|isDomain| *1 (|PermutationGroupExamples|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Record| (|:| |integrand| *3) (|:| |intvar| *3)))) (|isDomain| *1 (|IntegrationResult| *3)) (|ofCategory| *3 (|Field|))))) 
(((*1 *1 *1 *2) (AND (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *2)) (|ofCategory| *2 (|PolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *1) (AND (|ofCategory| *2 (|Field|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *2 *3 *4 *5)) (|ofCategory| *5 (|PolynomialCategory| *2 *3 *4))))) 
(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *1)) (|ofCategory| *1 (|RealClosedField|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Vector| (|Vector| (|Integer|)))) (|isDomain| *3 (|PositiveInteger|)) (|isDomain| *1 (|GrayCode|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GaloisGroupFactorizer| *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| (|Integer|)))))) 
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(((*1 *2 *1) (AND (|isDomain| *1 (|TubePlot| *2)) (|ofCategory| *2 (|PlottableSpaceCurveCategory|))))) 
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(((*1 *1 *2) (AND (|isDomain| *2 (|UnivariatePuiseuxSeries| *3 *4 *5)) (|ofCategory| *3 (|Join| (|Field|) (|OrderedSet|))) (|ofType| *4 (|Symbol|)) (|ofType| *5 *3) (|isDomain| *1 (|ExponentialOfUnivariatePuiseuxSeries| *3 *4 *5)))) ((*1 *2 *3) (AND (|isDomain| *2 (|Mapping| (|Float|))) (|isDomain| *1 (|RandomFloatDistributions|)) (|isDomain| *3 (|Float|))))) 
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(((*1 *1 *1) (AND (|ofCategory| *1 (|DivisorCategory| *2)) (|ofCategory| *2 (|SetCategory|))))) 
(((*1 *2 *3 *4 *4 *4 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *5 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *2 *2) (AND (|isDomain| *2 (|SymmetricPolynomial| (|Fraction| (|Integer|)))) (|isDomain| *1 (|CycleIndicators|))))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|FiniteFieldCategory|)) (|ofCategory| *5 (|FiniteAlgebraicExtensionField| *4)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|List| *3)) (|isDomain| *1 (|NormRetractPackage| *4 *5 *6 *3 *7)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *6)) (|ofType| *7 (|PositiveInteger|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Pattern| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *1 (|ModularDistinctDegreeFactorizer| *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DisplayPackage|)))) ((*1 *2 *3) (AND (|isDomain| *3 (|List| (|String|))) (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|DisplayPackage|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Integer|))) (|isDomain| *1 (|RadixExpansion| *3)) (|ofType| *3 (|Integer|))))) 
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(((*1 *2 *2) (|partial| AND (|ofCategory| *1 (|PartialTranscendentalFunctions| *2)) (|ofCategory| *2 (|TranscendentalFunctionCategory|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|InnerSparseUnivariatePowerSeries| *2)) (|ofCategory| *2 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *2 (|Ring|))))) 
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(((*1 *2 *3 *3 *4 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagIntegrationPackage|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| *5)) (|isDomain| *4 (|PositiveInteger|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *2 (|OneDimensionalArray| (|List| (|LyndonWord| *5)))) (|isDomain| *1 (|LyndonWord| *5))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|GuessOption|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GuessOptionFunctions0|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|OnePointCompletion| (|DoubleFloat|))) (|isDomain| *1 (|DoubleFloatSpecialFunctions|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) (|isDomain| *2 (|List| (|Matrix| (|Expression| (|Integer|))))) (|isDomain| *1 (|RadicalEigenPackage|)) (|isDomain| *3 (|Expression| (|Integer|)))))) 
(((*1 *2 *3 *3 *3 *3 *4 *5) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagRootFindingPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Fraction| (|Polynomial| *4)))) (|ofCategory| *4 (|GcdDomain|)) (|isDomain| *2 (|List| (|Union| (|Fraction| (|Polynomial| *4)) (|SuchThat| (|Symbol|) (|Polynomial| *4))))) (|isDomain| *1 (|EigenPackage| *4))))) 
(((*1 *1 *2 *1) (AND (|isDomain| *1 (|BinarySearchTree| *2)) (|ofCategory| *2 (|OrderedSet|))))) 
(((*1 *2 *1 *1) (AND (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *1) (|:| |remainder| *1))) (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *3)))) ((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Automorphism| *5)) (|ofCategory| *5 (|IntegralDomain|)) (|ofCategory| *5 (|Ring|)) (|isDomain| *2 (|Record| (|:| |quotient| *3) (|:| |remainder| *3))) (|isDomain| *1 (|UnivariateSkewPolynomialCategoryOps| *5 *3)) (|ofCategory| *3 (|UnivariateSkewPolynomialCategory| *5))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|Mapping| *5 *5)) (|ofCategory| *5 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE ** ($ $ (|Fraction| (|Integer|))))))) (|isDomain| *2 (|Record| (|:| |solns| (|List| *5)) (|:| |maps| (|List| (|Record| (|:| |arg| *5) (|:| |res| *5)))))) (|isDomain| *1 (|PolynomialSolveByFormulas| *3 *5)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|RetractableTo| (|Integer|))) (|ofCategory| *1 (|ExpressionSpace|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|ofCategory| *1 (|IntegerNumberSystem|)) (|isDomain| *2 (|Boolean|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|Permutation| *3)) (|ofCategory| *3 (|SetCategory|))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|DivisorCategory| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| *3))))) 
(((*1 *2 *3 *4 *4 *4 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagEigenPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *4 *5)) (|ofCategory| *3 (|Field|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|PolynomialIdeals| *3 *4 *5 *6))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| *2)) (|ofCategory| *2 (|FunctionSpace| *4)) (|isDomain| *1 (|FunctionalSpecialFunction| *4 *2)) (|ofCategory| *4 (|Join| (|OrderedSet|) (|IntegralDomain|)))))) 
(((*1 *2 *2 *2) (AND (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|DirectProductCategory| *5 (|NonNegativeInteger|))) (|ofType| *5 (|NonNegativeInteger|)) (|isDomain| *1 (|PackageForPoly| *3 *2 *4 *5)) (|ofCategory| *2 (|FiniteAbelianMonoidRing| *3 *4))))) 
(((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|QuasiComponentPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6)))) ((*1 *2) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *6 (|RecursivePolynomialCategory| *3 *4 *5)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|SquareFreeQuasiComponentPackage| *3 *4 *5 *6 *7)) (|ofCategory| *7 (|RegularTriangularSetCategory| *3 *4 *5 *6))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1) (AND (|ofCategory| *3 (|GcdDomain|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| *6)) (|isDomain| *1 (|QuasiAlgebraicSet| *3 *4 *5 *6)) (|ofCategory| *6 (|PolynomialCategory| *3 *5 *4))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PrimitiveRatDE| *4 *2 *3 *5)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *2))))) ((*1 *2 *3 *4) (AND (|ofCategory| *2 (|UnivariatePolynomialCategory| *4)) (|isDomain| *1 (|PrimitiveRatDE| *4 *2 *5 *3)) (|ofCategory| *4 (|Join| (|Field|) (|CharacteristicZero|) (|RetractableTo| (|Fraction| (|Integer|))))) (|ofCategory| *5 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *3 (|LinearOrdinaryDifferentialOperatorCategory| (|Fraction| *2)))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Matrix| *8)) (|ofCategory| *8 (|PolynomialCategory| *5 *7 *6)) (|ofCategory| *5 (|Join| (|EuclideanDomain|) (|CharacteristicZero|))) (|ofCategory| *6 (|Join| (|OrderedSet|) (|ConvertibleTo| (|Symbol|)))) (|ofCategory| *7 (|OrderedAbelianMonoidSup|)) (|isDomain| *2 (|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| *8) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| *8))))) (|isDomain| *1 (|ParametricLinearEquations| *5 *6 *7 *8)) (|isDomain| *4 (|NonNegativeInteger|))))) 
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(((*1 *1 *1 *1 *1) (|ofCategory| *1 (|IntegerNumberSystem|)))) 
(((*1 *1 *1 *1) (AND (|isDomain| *1 (|NewSparseUnivariatePolynomial| *2)) (|ofCategory| *2 (|IntegralDomain|)) (|ofCategory| *2 (|Ring|)))) ((*1 *2 *2 *2) (AND (|ofCategory| *3 (|IntegralDomain|)) (|isDomain| *1 (|PseudoRemainderSequence| *3 *2)) (|ofCategory| *2 (|UnivariatePolynomialCategory| *3)))) ((*1 *1 *1 *1) (AND (|ofCategory| *1 (|RecursivePolynomialCategory| *2 *3 *4)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *4 (|OrderedSet|)) (|ofCategory| *2 (|IntegralDomain|)))) ((*1 *2 *3 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *1)))) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3))))) 
(((*1 *1 *1) (|isDomain| *1 (|DoubleFloat|))) ((*1 *1 *1) (|isDomain| *1 (|Float|))) ((*1 *1) (|isDomain| *1 (|Float|)))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *2 (|Expression| (|Float|))) (|isDomain| *1 (|ExpertSystemToolsPackage|))))) 
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(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| *6)) (|ofCategory| *5 (|UniqueFactorizationDomain|)) (|ofCategory| *6 (|UnivariatePolynomialCategory| *5)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *3) (|:| |radicand| *6))) (|isDomain| *1 (|ChangeOfVariable| *5 *6 *7)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *7 (|UnivariatePolynomialCategory| *3))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|LinearOrdinaryDifferentialOperatorCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|)))) ((*1 *2 *2 *2 *3) (AND (|isDomain| *3 (|Mapping| *4 *4)) (|ofCategory| *4 (|Field|)) (|isDomain| *1 (|LinearOrdinaryDifferentialOperatorsOps| *4 *2)) (|ofCategory| *2 (|LinearOrdinaryDifferentialOperatorCategory| *4))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|BlowUpMethodCategory|)) (|isDomain| *2 (|Integer|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Mapping| *2 *2)) (|ofCategory| *2 (|UnivariateTaylorSeriesCategory| *4)) (|isDomain| *1 (|UnivariateTaylorSeriesODESolver| *4 *2)) (|ofCategory| *4 (|Algebra| (|Fraction| (|Integer|))))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|OutputForm|)))) ((*1 *1 *1) (|isDomain| *1 (|OutputForm|)))) 
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(((*1 *2 *1) (|partial| AND (|isDomain| *2 (|Kernel| *1)) (|ofCategory| *1 (|ExpressionSpace|))))) 
(((*1 *1 *1) (AND (|isDomain| *1 (|SplittingTree| *2 *3)) (|ofCategory| *2 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *3 (|Join| (|SetCategory|) (|Aggregate|)))))) 
(((*1 *1 *1 *1) (AND (|ofCategory| *1 (|UnivariateSkewPolynomialCategory| *2)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *2 (|Field|))))) 
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(((*1 *2 *3 *1) (|partial| AND (|isDomain| *3 (|Mapping| (|Boolean|) *2)) (|ofCategory| *1 (|Collection| *2)) (|ofCategory| *2 (|Type|))))) 
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(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|OpenMathPackage|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
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(((*1 *1) (|isDomain| *1 (|RoutinesTable|)))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) (|isDomain| *3 (|List| (|DrawOption|))) (|isDomain| *1 (|DrawOptionFunctions0|)))) ((*1 *1 *2) (AND (|isDomain| *2 (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) (|isDomain| *1 (|DrawOption|)))) ((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| (|HomogeneousDistributedMultivariatePolynomial| *5 *6))) (|isDomain| *3 (|HomogeneousDistributedMultivariatePolynomial| *5 *6)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *6 (|GcdDomain|)) (|isDomain| *2 (|Vector| *6)) (|isDomain| *1 (|LinGroebnerPackage| *5 *6))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|isDomain| *1 (|ContinuedFraction| *3)) (|ofCategory| *3 (|EuclideanDomain|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|LazyStreamAggregate| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|ofCategory| *1 (|MultivariateTaylorSeriesCategory| *3 *4)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|OrderedSet|)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|PAdicIntegerCategory| *3)) (|isDomain| *2 (|Integer|)))) ((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| *3)) (|ofCategory| *1 (|PointCategory| *3)) (|ofCategory| *3 (|Ring|)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|isDomain| *3 (|List| *7)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|isDomain| *3 (|List| *7)) (|ofCategory| *7 (|RecursivePolynomialCategory| *4 *5 *6)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *7)))) ((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)))) ((*1 *2 *3 *1) (AND (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *4 *5 *6)) (|isDomain| *2 (|List| *1)) (|ofCategory| *1 (|RegularTriangularSetCategory| *4 *5 *6 *3)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|TriangularSetCategory| *3 *4 *5 *2)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *4 (|OrderedAbelianMonoidSup|)) (|ofCategory| *5 (|OrderedSet|)) (|ofCategory| *2 (|RecursivePolynomialCategory| *3 *4 *5)))) ((*1 *1 *1 *2) (AND (|ofCategory| *1 (|UnivariatePowerSeriesCategory| *3 *2)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *2 (|OrderedAbelianMonoid|))))) 
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(((*1 *2) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|TabulatedComputationPackage| *3 *4)) (|ofCategory| *3 (|SetCategory|)) (|ofCategory| *4 (|SetCategory|))))) 
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(((*1 *2 *3 *4 *4 *4 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagInterpolationPackage|))))) 
(((*1 *2 *3 *3 *3 *4 *5 *5 *3) (AND (|isDomain| *3 (|Integer|)) (|isDomain| *5 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|DoubleFloat|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagFittingPackage|))))) 
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(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *2 *3) (AND (|isDomain| *2 (|Matrix| *4)) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *4)))) ((*1 *2 *2 *3) (AND (|isDomain| *2 (|List| (|Matrix| *4))) (|isDomain| *3 (|PositiveInteger|)) (|ofCategory| *4 (|Ring|)) (|isDomain| *1 (|RepresentationPackage1| *4))))) 
(((*1 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|GraphicsDefaults|))))) 
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(((*1 *2 *1) (AND (|ofCategory| *1 (|ThreeSpaceCategory| *3)) (|ofCategory| *3 (|Ring|)) (|isDomain| *2 (|NonNegativeInteger|))))) 
(((*1 *2 *3) (|partial| AND (|ofCategory| *5 (|RetractableTo| (|AlgebraicNumber|))) (|ofCategory| *4 (|Join| (|IntegralDomain|) (|OrderedSet|) (|RetractableTo| (|Integer|)))) (|ofCategory| *5 (|FunctionSpace| *4)) (|isDomain| *2 (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|)))) (|isDomain| *1 (|FunctionSpaceUnivariatePolynomialFactor| *4 *5 *3)) (|ofCategory| *3 (|UnivariatePolynomialCategory| *5))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|FiniteRankNonAssociativeAlgebra| *2)) (|ofCategory| *2 (|CommutativeRing|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OnePointCompletion| *3)) (|ofCategory| *3 (|SetCategory|)))) ((*1 *2 *1) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|OrderedCompletion| *3)) (|ofCategory| *3 (|SetCategory|))))) 
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(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1) (AND (|ofCategory| *1 (|MultiDictionary| *3)) (|ofCategory| *3 (|SetCategory|)) (|isDomain| *2 (|List| (|Record| (|:| |entry| *3) (|:| |count| (|NonNegativeInteger|)))))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|DeRhamComplex| *3 *4)) (|ofCategory| *3 (|Join| (|Ring|) (|OrderedSet|))) (|ofType| *4 (|List| (|Symbol|)))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| (|Record| (|:| |val| *3) (|:| |tower| *4)))) (|isDomain| *1 (|RegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2) (AND (|ofCategory| *4 (|CommutativeRing|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Polynomial| *4))) (|isDomain| *1 (|FramedNonAssociativeAlgebra&| *3 *4)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4)))) ((*1 *2) (AND (|ofCategory| *1 (|FramedNonAssociativeAlgebra| *3)) (|ofCategory| *3 (|CommutativeRing|)) (|ofCategory| *3 (|Field|)) (|isDomain| *2 (|SparseUnivariatePolynomial| (|Polynomial| *3))))) ((*1 *2) (AND (|isDomain| *2 (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| *3)))) (|isDomain| *1 (|GenericNonAssociativeAlgebra| *3 *4 *5 *6)) (|ofCategory| *3 (|IntegralDomain|)) (|ofCategory| *3 (|CommutativeRing|)) (|ofType| *4 (|PositiveInteger|)) (|ofType| *5 (|List| (|Symbol|))) (|ofType| *6 (|Vector| (|Matrix| *3)))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|String|)) (|isDomain| *1 (|OutputForm|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|isDomain| *2 (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) *5)) (|isDomain| *1 (|BlowUpPackage| *5 *6 *3 *7 *4)) (|ofCategory| *3 (|FiniteAbelianMonoidRing| *5 *7)) (|ofCategory| *4 (|BlowUpMethodCategory|))))) 
(((*1 *2 *3 *4 *5 *4) (AND (|isDomain| *3 (|Matrix| (|DoubleFloat|))) (|isDomain| *4 (|Integer|)) (|isDomain| *5 (|Boolean|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagPolynomialRootsPackage|))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|)))))) 
(((*1 *2 *1 *2) (AND (|isDomain| *2 (|List| (|String|))) (|isDomain| *1 (|ScriptFormulaFormat|))))) 
(((*1 *2 *3 *4) (AND (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|ofCategory| *3 (|RecursivePolynomialCategory| *5 *6 *7)) (|isDomain| *2 (|List| *4)) (|isDomain| *1 (|SquareFreeRegularTriangularSetGcdPackage| *5 *6 *7 *3 *4)) (|ofCategory| *4 (|RegularTriangularSetCategory| *5 *6 *7 *3))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *2 (|Mapping| *6 *5)) (|isDomain| *1 (|MakeUnaryCompiledFunction| *4 *5 *6)) (|ofCategory| *4 (|ConvertibleTo| (|InputForm|))) (|ofCategory| *5 (|Type|)) (|ofCategory| *6 (|Type|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|DoubleFloat|)) (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|Result|)) (|isDomain| *1 (|NagSpecialFunctionsPackage|))))) 
(((*1 *1 *2) (AND (|isDomain| *2 (|List| (|PositiveInteger|))) (|isDomain| *1 (|SetOfMIntegersInOneToN| *3 *4)) (|ofType| *3 (|PositiveInteger|)) (|ofType| *4 (|PositiveInteger|))))) 
(((*1 *1) (AND (|isDomain| *1 (|ListMonoidOps| *2 *3 *4)) (|ofCategory| *2 (|SetCategory|)) (|ofCategory| *3 (|AbelianMonoid|)) (|ofType| *4 *3)))) 
(((*1 *2 *3) (AND (|ofCategory| *4 (|IntegralDomain|)) (|isDomain| *2 (|NonNegativeInteger|)) (|isDomain| *1 (|AlgebraPackage| *4 *3)) (|ofCategory| *3 (|FramedNonAssociativeAlgebra| *4))))) 
(((*1 *1 *1) (AND (|ofCategory| *1 (|DifferentialPolynomialCategory| *2 *3 *4 *5)) (|ofCategory| *2 (|Ring|)) (|ofCategory| *3 (|OrderedSet|)) (|ofCategory| *4 (|DifferentialVariableCategory| *3)) (|ofCategory| *5 (|OrderedAbelianMonoidSup|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|List| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| *4)))) (|ofCategory| *4 (|Field|)) (|ofType| *5 (|List| (|Symbol|))) (|ofCategory| *7 (|DirectProductCategory| (|#| *5) (|NonNegativeInteger|))) (|isDomain| *2 (|Union| (|List| *8) "failed" "Infinite" (|Integer|))) (|isDomain| *1 (|AffineAlgebraicSetComputeWithResultant| *4 *5 *6 *7 *8)) (|ofCategory| *6 (|PolynomialCategory| *4 *7 (|OrderedVariableList| *5))) (|ofCategory| *8 (|ProjectiveSpaceCategory| *4))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|IntegralDomain|))) (|isDomain| *1 (|ElementaryFunction| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|RadicalCategory|))))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateTaylorSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariateLaurentSeries| *3 *4 *2)) (|ofCategory| *2 (|UnivariateLaurentSeriesConstructorCategory| *3 *4)))) ((*1 *2 *2) (AND (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|ofCategory| *4 (|UnivariateLaurentSeriesCategory| *3)) (|isDomain| *1 (|ElementaryFunctionsUnivariatePuiseuxSeries| *3 *4 *2 *5)) (|ofCategory| *2 (|UnivariatePuiseuxSeriesConstructorCategory| *3 *4)) (|ofCategory| *5 (|PartialTranscendentalFunctions| *4)))) ((*1 *1 *1) (AND (|isDomain| *1 (|FortranExpression| *2 *3 *4)) (|ofType| *2 (|List| (|Symbol|))) (|ofType| *3 (|List| (|Symbol|))) (|ofCategory| *4 (|FortranMachineTypeCategory|)))) ((*1 *1 *1) (|ofCategory| *1 (|HyperbolicFunctionCategory|))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctionsNonCommutative| *3)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Stream| *3)) (|ofCategory| *3 (|Algebra| (|Fraction| (|Integer|)))) (|isDomain| *1 (|StreamTranscendentalFunctions| *3))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *4 (|List| *7)) (|ofCategory| *7 (|PolynomialCategory| *5 *8 (|OrderedVariableList| *6))) (|ofCategory| *8 (|DirectProductCategory| (|#| *6) (|NonNegativeInteger|))) (|ofCategory| *5 (|Field|)) (|ofType| *6 (|List| (|Symbol|))) (|ofCategory| *10 (|LocalPowerSeriesCategory| *5)) (|ofCategory| *11 (|PlacesCategory| *5 *10)) (|isDomain| *2 (|List| (|Vector| *5))) (|isDomain| *1 (|InterpolateFormsPackage| *5 *6 *7 *8 *9 *10 *11 *3)) (|ofCategory| *9 (|ProjectiveSpaceCategory| *5)) (|ofCategory| *3 (|DivisorCategory| *11))))) 
(((*1 *2 *2) (AND (|ofCategory| *3 (|Join| (|OrderedSet|) (|GcdDomain|))) (|isDomain| *1 (|TranscendentalManipulations| *3 *2)) (|ofCategory| *2 (|Join| (|FunctionSpace| *3) (|TranscendentalFunctionCategory|)))))) 
(((*1 *1 *1 *2) (AND (|isDomain| *2 (|List| (|OutputForm|))) (|isDomain| *1 (|Symbol|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|List| (|Expression| (|DoubleFloat|)))) (|isDomain| *4 (|NonNegativeInteger|)) (|isDomain| *2 (|Matrix| (|DoubleFloat|))) (|isDomain| *1 (|e04AgentsPackage|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Void|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|FlexibleArray| *3)) (|ofCategory| *3 (|Type|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|IndexedFlexibleArray| *3 *4)) (|ofCategory| *3 (|Type|)) (|ofType| *4 (|Integer|))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|Void|)) (|isDomain| *1 (|OpenMathDevice|))))) 
(((*1 *2 *1 *3) (AND (|isDomain| *3 (|Integer|)) (|ofCategory| *1 (|FreeAbelianMonoidCategory| *4 *2)) (|ofCategory| *4 (|SetCategory|)) (|ofCategory| *2 (|CancellationAbelianMonoid|))))) 
(((*1 *2 *3 *4) (AND (|isDomain| *3 (|Fraction| (|Integer|))) (|ofCategory| *5 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|OrderedSet|)) (|ofCategory| *7 (|IntegralDomain|)) (|ofCategory| *8 (|PolynomialCategory| *7 *5 *6)) (|isDomain| *2 (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| *9) (|:| |radicand| *9))) (|isDomain| *1 (|PolynomialRoots| *5 *6 *7 *8 *9)) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *9 (|Join| (|Field|) (CATEGORY |domain| (SIGNATURE |numer| (*8 $)) (SIGNATURE |denom| (*8 $)) (SIGNATURE |coerce| ($ *8)))))))) 
(((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|List| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *2 *2 *3 *3) (AND (|isDomain| *3 (|Segment| (|PositiveInteger|))) (|ofCategory| *4 (|Field|)) (|ofCategory| *5 (|FiniteLinearAggregate| *4)) (|ofCategory| *6 (|FiniteLinearAggregate| *4)) (|isDomain| *1 (|MatrixManipulation| *4 *5 *6 *2)) (|ofCategory| *2 (|MatrixCategory| *4 *5 *6)))) ((*1 *1 *1 *2 *2 *2 *2) (AND (|isDomain| *2 (|Integer|)) (|ofCategory| *1 (|MatrixCategory| *3 *4 *5)) (|ofCategory| *3 (|Ring|)) (|ofCategory| *4 (|FiniteLinearAggregate| *3)) (|ofCategory| *5 (|FiniteLinearAggregate| *3))))) 
(((*1 *2 *1) (AND (|isDomain| *2 (|List| (|Polynomial| (|Integer|)))) (|isDomain| *1 (|FortranType|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Matrix| (|DoubleFloat|))) (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|NAGLinkSupportPackage|)))) ((*1 *2 *3 *4) (AND (|isDomain| *3 (|Symbol|)) (|isDomain| *4 (|Matrix| (|Integer|))) (|isDomain| *2 (|SExpression|)) (|isDomain| *1 (|NAGLinkSupportPackage|))))) 
(((*1 *2 *3 *4 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |totdeg| (|NonNegativeInteger|)) (|:| |pol| *3)))) (|isDomain| *4 (|NonNegativeInteger|)) (|ofCategory| *3 (|PolynomialCategory| *5 *6 *7)) (|ofCategory| *5 (|GcdDomain|)) (|ofCategory| *6 (|OrderedAbelianMonoidSup|)) (|ofCategory| *7 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *5 *6 *7 *3))))) 
(((*1 *2 *2) (|partial| AND (|isDomain| *2 (|SparseUnivariatePolynomial| *3)) (|ofCategory| *3 (|FiniteFieldCategory|)) (|isDomain| *1 (|FiniteFieldPolynomialPackage| *3))))) 
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(((*1 *2 *3 *1) (AND (|isDomain| *3 (|SplittingNode| *4 *5)) (|ofCategory| *4 (|Join| (|SetCategory|) (|Aggregate|))) (|ofCategory| *5 (|Join| (|SetCategory|) (|Aggregate|))) (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|SplittingTree| *4 *5))))) 
(((*1 *2 *3 *2) (AND (|isDomain| *2 (|List| (|Record| (|:| |lcmfij| *3) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| *6) (|:| |polj| *6)))) (|ofCategory| *3 (|OrderedAbelianMonoidSup|)) (|ofCategory| *6 (|PolynomialCategory| *4 *3 *5)) (|ofCategory| *4 (|GcdDomain|)) (|ofCategory| *5 (|OrderedSet|)) (|isDomain| *1 (|GroebnerInternalPackage| *4 *3 *5 *6))))) 
(((*1 *2 *3 *3 *4) (AND (|isDomain| *4 (|Integer|)) (|isDomain| *2 (|List| (|U32Vector|))) (|isDomain| *1 (|U32VectorPolynomialOperations|)) (|isDomain| *3 (|U32Vector|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|String|)) (|isDomain| *2 (|Any|)) (|isDomain| *1 (|TemplateUtilities|))))) 
(((*1 *1 *1 *1) (AND (|has| *1 (ATTRIBUTE |shallowlyMutable|)) (|ofCategory| *1 (|DoublyLinkedAggregate| *2)) (|ofCategory| *2 (|Type|))))) 
(((*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 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|)))) ((*1 *2) (AND (|isDomain| *2 (|Float|)) (|isDomain| *1 (|ThreeDimensionalViewport|))))) 
(((*1 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|)))) ((*1 *2 *2) (AND (|isDomain| *2 (|PositiveInteger|)) (|isDomain| *1 (|ViewDefaultsPackage|))))) 
(((*1 *2 *3) (AND (|isDomain| *3 (|Matrix| (|Expression| (|DoubleFloat|)))) (|isDomain| *2 (|Float|)) (|isDomain| *1 (|d02AgentsPackage|))))) 
(((*1 *2 *2) (AND (|isDomain| *2 (|Boolean|)) (|isDomain| *1 (|CardinalNumber|))))) 
((|generalizedContinuumHypothesisAssumed| . 1580132) (|sparsityIF| . 1579989) (|var2StepsDefault| . 1579799) (|viewDeltaYDefault| . 1579619) (|chebyshevT| . 1579306) (|setprevious!| . 1579165) (|interpretString| . 1579054) (|extendedgcd| . 1578879) (|critMonD1| . 1578513) (|nodeOf?| . 1578266) (|bat| . 1578095) (|lineColorDefault| . 1577921) (|csubst| . 1577593) (|open?| . 1577461) (|s17ajf| . 1577302) (|s17dgf| . 1577098) (|OMgetEndError| . 1577016) (|shuffle| . 1576860) (|showScalarValues| . 1576783) (|mulbyscalar| . 1576619) (|presub| . 1576569) (|escape| . 1576526) (|OMsetEncoding| . 1576404) (|placesAbove| . 1575056) (|cond| . 1574888) (|script| . 1574524) (|declare!| . 1573765) (|lazyEvaluate| . 1573671) (|cyclicCopy| . 1573587) (|sec| . 1572392) (|adaptive3D?| . 1572318) (|decomposeFunc| . 1572103) (|outputArgs| . 1571731) (|changeMeasure| . 1571616) (|expenseOfEvaluation| . 1571266) (|setOrder| . 1570948) (|hasPredicate?| . 1570833) (|meatAxe| . 1569751) (|rightOne| . 1569631) (|associatorDependence| . 1569232) (|clearFortranOutputStack| . 1569130) (|bat1| . 1568953) (|filterUntil| . 1568699) (|schema| . 1568485) (|predicate| . 1568284) (|iipolygamma| . 1568082) (|typeLists| . 1567872) (|zeroDimensional?| . 1567419) (|gethi| . 1566933) (|blockSplit| . 1565563) (|denom| . 1564320) (|f02bbf| . 1564111) (|linearlyDependentOverZ?| . 1563925) (|algebraicCoefficients?| . 1563639) (|palgextint0| . 1562554) (|polyRDE| . 1562091) (|e01bgf| . 1561909) (|mapDown!| . 1561618) (|prevPrime| . 1561510) (|iisec| . 1561314) (|subs2ndVar| . 1561056) (|projectivePoint| . 1560315) (|realEigenvalues| . 1560110) (|nextNormalPoly| . 1559934) (|updatF| . 1559561) (|dimensionsOf| . 1559127) (|subMatrix| . 1558317) (|qroot| . 1557753) (|nthCoef| . 1557564) (|OMputError| . 1557482) (|shrinkable| . 1557221) (|showRegion| . 1557099) (|linearMatrix| . 1556899) (|argscript| . 1556807) (|sec2cos| . 1556592) (|basisOfInterpolateForms| . 1556031) (|sinh| . 1554656) (|affineAlgSetLocal| . 1554139) (|separant| . 1553892) (|weakBiRank| . 1553700) (|makeUnit| . 1553551) (|setOfMinN| . 1553367) (|s17acf| . 1553208) (|unaryFunction| . 1552966) (|stoseInvertibleSet| . 1552604) (|setFormula!| . 1552503) (|iitan| . 1552307) (|c02aff| . 1552104) (|polyRingToBlUpRing| . 1551706) (|message| . 1551626) (|elements| . 1551442) (|rightRankPolynomial| . 1550675) (|toseSquareFreePart| . 1550283) (|proj| . 1550094) (|duplicates| . 1549907) (|iiexp| . 1549711) (|quasiRegular?| . 1549408) (|totalDegree| . 1548695) (|infinite?| . 1548447) (|perspective| . 1548325) (|rightNorm| . 1548208) (|anfactor| . 1547787) (|numberOfComposites| . 1547655) (|printTypes| . 1547470) (|nonSingularModel| . 1546762) (|clipPointsDefault| . 1546594) (|symmetricTensors| . 1546260) (|OMputEndAtp| . 1546178) (|semiDiscriminantEuclidean| . 1545947) (|symFunc| . 1545641) (|e02gaf| . 1545433) (|e01saf| . 1545257) (|dscal| . 1545076) (|clearTable!| . 1544910) (|draw| . 1536880) (|comment| . 1536712) (|An| . 1536544) (|rationalApproximation| . 1536011) (|internalLastSubResultant| . 1535085) (|normalizedAssociate| . 1534771) (|imagj| . 1534669) (|curryRight| . 1534426) (|leftRank| . 1534234) (|moebiusMu| . 1534135) (|shiftRight| . 1533990) (|OMgetEndObject| . 1533908) (|makeMulti| . 1533690) (|effective?| . 1533565) (|interiorProduct| . 1533307) (|generator| . 1532223) (|lazy?| . 1532101) (|reshape| . 1531372) (|npcoef| . 1530735) (|clikeUniv| . 1530517) (|truncatedmultiplication| . 1530378) (|firstUncouplingMatrix| . 1530115) (|iiAiryBi| . 1529941) (|subspace| . 1529477) (|write| . 1528832) (|compile| . 1528711) (|isOp| . 1528351) (|prefix?| . 1528260) (|dotview| . 1528154) (|factor| . 1516325) (|mapBivariate| . 1515962) (|principalSubResultantSet| . 1515727) (|printCode| . 1515648) (|suppOfPole| . 1515523) (|cSec| . 1515363) (|setVariableOrder| . 1515101) (|f04adf| . 1514896) (|blankSeparate| . 1514803) (|substring?| . 1514681) (|range| . 1514469) (|moreAlgebraic?| . 1513776) (|ref| . 1513694) (|binaryFunction| . 1513418) (|outputForm| . 1512475) (|numberOfMonomials| . 1511980) (|hitherPlane| . 1511859) (|plenaryPower| . 1511713) (|f02aff| . 1511548) (|principalIdeal| . 1511382) (|getRef| . 1511213) (|s17adf| . 1511054) (|pole?| . 1510735) (|cosh| . 1509360) (|distinguishedRootsOf| . 1508964) (|loopPoints| . 1508747) (|setParam!| . 1508548) (NOT . 1508293) (|drawStyle| . 1508171) (|minPol| . 1507511) (|subResultantsChain| . 1507307) (|integers| . 1507139) (|deriv| . 1507008) (|chineseRemainder| . 1506089) (|s17dhf| . 1505885) (|integrate| . 1492975) (|primitiveElement| . 1491035) (|totolex| . 1490753) (|false| . 1490712) (|removeCosSq| . 1490497) (|split| . 1488424) (|kernels| . 1488325) (|interReduce| . 1488038) (|prinshINFO| . 1487774) (|lprop| . 1487626) (|ef2edf| . 1487471) (|getlo| . 1486985) (|btwFact| . 1486604) (|ParCond| . 1486096) (|solveLinearlyOverQ| . 1485873) (Y . 1485436) (|e| . 1485250) (|makeprod| . 1485123) (|factorByRecursion| . 1484427) (|display| . 1483155) (|unvectorise| . 1482550) (|localUnquote| . 1482202) (|linearBezier| . 1482049) (|evenInfiniteProduct| . 1481163) (|pointPlot| . 1480497) (|debug3D| . 1480420) (|constantToUnaryFunction| . 1480267) (|iisinh| . 1480071) (|write!| . 1479937) (|discreteLog| . 1479714) (|d02bhf| . 1479329) (|dimensionOfIrreducibleRepresentation| . 1479191) (|randomR| . 1478468) (|divisorAtDesingTree| . 1477803) (|print| . 1477617) (|coordinate| . 1477221) (|addiag| . 1477049) (|f2st| . 1476929) (|generate| . 1476447) (|curry| . 1476247) (|superscript| . 1476155) (|orthonormalBasis| . 1475963) (|affineRationalPoints| . 1475072) (|replaceKthElement| . 1474915) (|leadingSupport| . 1474769) (|characteristicSet| . 1474103) (|e02bcf| . 1473898) (|setButtonValue| . 1473668) (|leftPower| . 1473482) (|currentSubProgram| . 1473401) (|setAttributeButtonStep| . 1473316) (|desingTree| . 1471347) (|charpol| . 1471082) (|isTimes| . 1470148) (|c02agf| . 1469945) (|coefOfFirstNonZeroTerm| . 1469845) (|extend| . 1467606) (|coord| . 1466976) (|showTheRoutinesTable| . 1466929) (|critM| . 1466659) (|OMputInteger| . 1466546) (|OMreadStr| . 1466437) (|stoseLastSubResultant| . 1466032) (|find| . 1465891) (|badValues| . 1465705) (|copy| . 1464609) (|reverseLex| . 1464402) (|curveColor| . 1464245) (|hypergeometric0F1| . 1464026) (|rightRemainder| . 1463888) (|updateStatus!| . 1463712) (|mainKernel| . 1463612) (|irreducibleFactors| . 1463246) (|localAbs| . 1462183) (|saturate| . 1461693) (|setfirst!| . 1461550) (|coefficient| . 1458527) (|extract| . 1458365) (|infClsPt?| . 1458272) (|collectUnder| . 1458026) (|setUnion| . 1457912) (|rewriteSetByReducingWithParticularGenerators| . 1457490) (|anticoord| . 1457194) (|copyfirst| . 1457033) (|degreeSubResultant| . 1456825) (|subSet| . 1456676) (|nullSpace| . 1454969) (|c06gbf| . 1454797) (|region| . 1454638) (|operation| . 1454140) (|derivationCoordinates| . 1453856) (|radix| . 1453703) (|rightMinimalPolynomial| . 1453499) (|evalRec| . 1453058) (|rootOf| . 1451562) (|tubePoints| . 1451334) (|normalDeriv| . 1451024) (|linear?| . 1450466) (|makeVariable| . 1449680) (|precision| . 1449269) (|taylorRep| . 1449093) (|droot| . 1448868) (|cCoth| . 1448708) (|OMgetAtp| . 1448626) (|makeTerm| . 1448471) (|vspace| . 1448390) (|positiveSolve| . 1446902) (|hspace| . 1446821) (|inf| . 1446671) (|outputAsFortran| . 1445799) (|iprint| . 1445684) (|dark| . 1445608) (|complexLimit| . 1444639) (|getOp| . 1444252) (|pushucoef| . 1443835) (|integral?| . 1443019) (|hexDigit| . 1442971) (|OMputEndObject| . 1442889) (|normal| . 1442755) (|child?| . 1442597) (|limitedIntegrate| . 1442157) (|tanh| . 1440782) (|unit?| . 1440695) (^= . 1440645) (|e01sef| . 1440425) (|inRadical?| . 1440166) (|dasum| . 1439988) (|dzasum| . 1439798) (|selectPDERoutines| . 1439748) (|ground| . 1439513) (|contract| . 1438731) (|opeval| . 1438453) (|weighted| . 1438243) (|inverse| . 1436514) (|rank| . 1434035) (|hodgeStar| . 1433825) (|getShiftRec| . 1433335) (|conjug| . 1433055) (|chiSquare1| . 1432923) (|zeroDimPrime?| . 1432551) (|rightZero| . 1432435) (|last| . 1431847) (|rightQuotient| . 1431709) (|complexElementary| . 1430436) (|plot| . 1428553) (|update| . 1428390) (|rombergo| . 1428090) (|hMonic| . 1427851) (|conditionP| . 1427530) (|qelt| . 1426923) (|level| . 1426766) (|coerce| . 1386249) (|outputList| . 1386135) (|nthExpon| . 1385515) (|cAcos| . 1385355) (|getBadValues| . 1385235) (|asecIfCan| . 1385094) (|solveRetract| . 1384762) (|stronglyReduced?| . 1384200) (|fortranReal| . 1384155) (|returnType!| . 1383612) (|series| . 1377504) (|head| . 1377064) (|variablesOf| . 1376940) (|getCode| . 1376854) (|qinterval| . 1376701) (|karatsubaDivide| . 1376488) (|basisOfCentroid| . 1376299) (|gradient| . 1375944) (|retractIfCan| . 1368248) (|laurentIfCan| . 1368061) (|bracket| . 1367924) (|ode1| . 1367696) (|transCoord| . 1367603) (|symmetricProduct| . 1367235) (|rootPoly| . 1366834) (|univariatePolynomials| . 1366463) (|df2ef| . 1366323) (|log2| . 1366200) (|lastSubResultant| . 1365345) (|addmod| . 1365281) (|argument| . 1364925) (|ParCondList| . 1364324) (|indicialEquation| . 1363571) (|definingEquations| . 1363310) (|OMputEndError| . 1363228) (|stopTable!| . 1362553) (|subs1stVar| . 1362295) (|iiBeta| . 1362093) (|groebnerIdeal| . 1361837) (|f02abf| . 1361669) (|supp| . 1361544) (|even?| . 1361203) (|mapSolve| . 1360819) (|monicRightDivide| . 1360291) (|insertRoot!| . 1360193) (|eigenvalues| . 1359937) (|c05adf| . 1359699) (|radicalEigenvector| . 1359461) (|Ei4| . 1359336) (|displayAsGF| . 1359203) (|setsubmult!| . 1358674) (|LyndonWordsList1| . 1358451) (|d01gaf| . 1358280) (|lieAlgebra?| . 1357940) (|cCsc| . 1357780) (|atanhIfCan| . 1357639) (|norm| . 1354126) (|translate| . 1353103) (|minusInfinity| . 1352914) (|roughSubIdeal?| . 1352603) (|exptMod| . 1352225) (|wholeRagits| . 1352102) (|sayLength| . 1351872) (|number?| . 1351718) (|linears| . 1351556) (|inR?| . 1351441) (|normFactors| . 1351098) (|cup| . 1350972) (|e01bhf| . 1350758) (|divOfPole| . 1350661) (|logGamma| . 1350262) (|exponential| . 1349899) (|euclideanGroebner| . 1349005) (|socf2socdf| . 1348812) (|f01bsf| . 1348510) (|getCurve| . 1348406) (|incrementKthElement| . 1348252) (|f04qaf| . 1347935) (|useSingleFactorBound| . 1347777) (|nextSubsetGray| . 1347637) (|mainValue| . 1347517) (|quotient| . 1347058) (|notelem| . 1346892) (|cyclicGroup| . 1346590) (|removeSinSq| . 1346375) (|supDimElseRittWu?| . 1345682) (|distinguishedCommonRootsOf| . 1345444) (|increase| . 1345220) (|setrest!| . 1344967) (|nextLatticePermutation| . 1344818) (|guessHP| . 1337351) (|dcabs1| . 1337220) (|primeFrobenius| . 1337045) (|putColorInfo| . 1336892) (|nextPrime| . 1336784) (~= . 1335959) (|pointValue| . 1335712) (|stronglyReduce| . 1335456) (|semiIndiceSubResultantEuclidean| . 1335180) (|bipolar| . 1334971) (|vector| . 1334747) (|irreducible?| . 1334138) (|quadraticBezier| . 1333982) (|factorPolynomial| . 1333525) (|GospersMethod| . 1333051) (|s18aef| . 1332892) (|iteratedInitials| . 1332677) (|addPointLast| . 1332482) (|prinb| . 1332190) (|weight| . 1331286) (|quickSort| . 1331028) (|drot| . 1330804) (|createThreeSpace| . 1330699) (|insert!| . 1327729) (|monicDivide| . 1327306) (|resetAttributeButtons| . 1327225) (|listOfLists| . 1326632) (|singular?| . 1326091) (|slash| . 1326041) (|prefixRagits| . 1325918) (|derivative| . 1325359) (|f02wef| . 1325142) (|discriminantSet| . 1324901) (|ord| . 1324821) (|previous| . 1324725) (|pushdown| . 1323621) (|ScanFloatIgnoreSpacesIfCan| . 1323502) (|one?| . 1323087) (|e02akf| . 1322876) (|tableForDiscreteLogarithm| . 1322715) (|reduced?| . 1321924) (|cot2tan| . 1321709) (|OMputString| . 1321597) (|lazyPremWithDefault| . 1321019) (|monomial2series| . 1320809) (|rdHack1| . 1320576) (|quasiMonicPolynomials| . 1320205) (|exactQuotient!| . 1319754) (|subscript| . 1319662) (|rightUnit| . 1319501) (|prefix| . 1319405) (|e02baf| . 1319229) (|dihedral| . 1319078) (|cAsec| . 1318918) (<= . 1318536) (|lieDerivative| . 1318278) (|Lazard2| . 1318067) (|aQuartic| . 1317824) (|rationalPlaces| . 1316573) (|daxpy| . 1316386) (|setMinPoints| . 1316311) (|rur| . 1314691) (|hash| . 1313611) (|integralDerivationMatrix| . 1313265) (|copyDrift| . 1313053) (|companionBlocks| . 1312812) (|biringToPolyRing| . 1312414) (|polygon?| . 1312293) (|basisOfInterpolateFormsForFact| . 1311732) (|tubeRadius| . 1311524) (|constant?| . 1311109) (|basisOfLeftNucleus| . 1310931) (|removeConjugate| . 1310356) (|constantOpIfCan| . 1310176) (|error| . 1309698) (|iflist2Result| . 1309430) (|asimpson| . 1309127) (|s17akf| . 1308968) (|cylindrical| . 1308784) (|cyclotomicDecomposition| . 1308618) (|limit| . 1306401) (|factor1| . 1305921) (|left| . 1305340) (|pseudoDivide| . 1304611) (|sn| . 1304436) (|OMgetAttr| . 1304354) (|genericPosition| . 1303936) (|removeRoughlyRedundantFactorsInContents| . 1303614) (|functionIsOscillatory| . 1303311) (|leftNorm| . 1303194) (|sqrt| . 1302528) (|monomial| . 1299631) (|test| . 1299587) (|palglimint| . 1299016) (|scripts| . 1298660) (|outerProduct| . 1298511) (|hasDimension?| . 1298189) (|stFunc2| . 1297891) (|roughUnitIdeal?| . 1297583) (|code| . 1296340) (|legendreP| . 1296130) (|prime?| . 1295394) (|integralAtInfinity?| . 1295122) (|localPointV| . 1294580) (|diophantineSystem| . 1294235) (|quasiMonic?| . 1294020) (|nilFactor| . 1293898) (|difference| . 1293707) (|numberOfPlacesOfDegree| . 1292298) (|unit| . 1291964) (|setClipValue| . 1291878) (|pointColor| . 1291721) (|splitConstant| . 1291318) (|taylorQuoByVar| . 1291213) (|factorset| . 1290868) (|setPrologue!| . 1290679) (|accuracyIF| . 1290272) (|cCot| . 1290112) (|numberOfPrimitivePoly| . 1289960) (|totalfract| . 1289524) (|empty| . 1288554) (|isamax| . 1288420) (|sin| . 1286950) (|removeSuperfluousCases| . 1286165) (|invmultisect| . 1285536) (|lazyGintegrate| . 1285286) (|f04axf| . 1285054) (|generalTwoFactor| . 1284779) (|sncndn| . 1284535) (|returns| . 1283899) (|cCos| . 1283739) (|interpolate| . 1282450) (|sumOfSquares| . 1282334) (|s20adf| . 1282175) (|bumprow| . 1281886) (|baseRDE| . 1281556) (|degOneCoef| . 1281262) (|initTable!| . 1281096) (|elliptic| . 1280336) (|fullOut| . 1279206) (|complete| . 1278634) (|coHeight| . 1278313) (|viewpoint| . 1276388) (|zerosOf| . 1275310) (|setAdaptive| . 1275235) (|hasoln| . 1274788) (|lBasis| . 1272444) (|atanIfCan| . 1272303) (|guessRec| . 1265250) (|innerSolve| . 1264931) (|f02bjf| . 1264691) (|algebraicVariables| . 1264410) (|oddintegers| . 1264242) (|separate| . 1263556) (|localParamV| . 1263021) (|rightGcd| . 1262883) (|origin| . 1262791) (|convert| . 1254217) (|setProperty| . 1254103) (|s19adf| . 1253944) (|maxLevel| . 1253666) (|iicsch| . 1253470) (|initiallyReduced?| . 1252450) (|highCommonTerms| . 1252246) (|homogeneous| . 1251974) (|sh| . 1251610) (|selectODEIVPRoutines| . 1251560) (|any?| . 1250365) (|mdeg| . 1250139) (|radicalSolve| . 1247874) (|c06ecf| . 1247699) (|classNumber| . 1246411) (|compactFraction| . 1246312) (|cyclic| . 1246161) (|rootNormalize| . 1245801) (|factorGroebnerBasis| . 1245079) (|dmp2rfi| . 1243915) (|deepestTail| . 1243728) (|diagonals| . 1243606) (|linearDependenceOverZ| . 1243399) (|removeSquaresIfCan| . 1243112) (|exponents| . 1243021) (|repSq| . 1242831) (|getMeasure| . 1242719) (|rationalPoint?| . 1242117) (|rroot| . 1241594) (|hconcat| . 1241454) (|discriminantEuclidean| . 1241206) (|\\/| . 1241109) (|startStats!| . 1240913) (|headReduced?| . 1239893) (|polygamma| . 1239360) (|algebraicSort| . 1238673) (|associatedSystem| . 1238356) (|infieldIntegrate| . 1238097) (|reindex| . 1237889) (|SturmHabichtMultiple| . 1237642) (|besselK| . 1237187) (|viewport3D| . 1237129) (|radPoly| . 1236787) (|ridHack1| . 1236681) (|subscriptedVariables| . 1236575) (|localIntegralBasis| . 1235116) (|purelyTranscendental?| . 1234830) (|prolateSpheroidal| . 1234621) (|pomopo!| . 1234468) (|intersectionDivisor| . 1232402) (|reopen!| . 1232241) (|assert| . 1231822) (|acoshIfCan| . 1231681) (|lieAdmissible?| . 1231341) (|f01qcf| . 1231162) (|viewport2D| . 1231106) (|complement| . 1230977) (|basisOfRightNucloid| . 1230788) (|partialDenominators| . 1230657) (|pushuconst| . 1230286) (|obj| . 1230215) (|excepCoord| . 1230122) (|internalIntegrate0| . 1229713) (|OMbindTCP| . 1229587) (|deleteRow!| . 1229403) (|outputAsScript| . 1229159) (|and| . 1229014) (|theCurve| . 1227820) (|numberOfHues| . 1227739) (|rk4f| . 1227452) (|log10| . 1227146) (|charthRoot| . 1226894) (|desingTreeWoFullParam| . 1225614) (|basisOfRightNucleus| . 1225436) (|bipolarCylindrical| . 1225227) (|processTemplate| . 1225053) (|plus| . 1224614) (|startTable!| . 1223867) (|explimitedint| . 1223312) (|perfectNthPower?| . 1223142) (|constantLeft| . 1222902) (|UnVectorise| . 1222734) (|LagrangeInterpolation| . 1222539) (|legendre| . 1222266) (|s19abf| . 1222107) (|f07aef| . 1221870) (|tanAn| . 1221690) (|removeRoughlyRedundantFactorsInPol| . 1221400) (|laguerreL| . 1221090) (|parts| . 1219944) (|algSplitSimple| . 1219572) (|guessADE| . 1212519) (|associates?| . 1212429) (|bivariate?| . 1212142) (|skewSFunction| . 1211979) (|setlocalParam!| . 1211441) (|cyclicSubmodule| . 1211195) (|mkcomm| . 1211067) (|denominators| . 1210936) (|rotatez| . 1210795) (|useSingleFactorBound?| . 1210640) (|complexNumericIfCan| . 1207585) (|discriminant| . 1206208) (|fullInfClsPt| . 1205760) (|diag| . 1205557) (|isPower| . 1204709) (|polyRicDE| . 1203730) (|radicalRoots| . 1203166) (|iomode| . 1203008) (|hadamard| . 1202845) (|meshPar1Var| . 1202515) (|frobenius| . 1202335) (|OMputAttr| . 1202253) (|laurent| . 1199106) (|mapExpon| . 1198612) (LT . 1198394) (|fortranDoubleComplex| . 1198349) (|makeEq| . 1198032) (|kroneckerDelta| . 1197867) (|replaceDiffs| . 1197444) (|guessExpRat| . 1190391) (|groebner| . 1188640) (|equation| . 1187905) (|fresnelC| . 1187517) (|diagonalMatrix| . 1186244) (|d01amf| . 1186000) (|suffix?| . 1185909) (|upperCase| . 1185767) (|member?| . 1184298) (|e02aef| . 1184099) (|overbar| . 1184052) (|remove!| . 1182802) (|tanintegrate| . 1182403) (|vectoraddmul| . 1182233) (|leftAlternative?| . 1181893) (|rightCharacteristicPolynomial| . 1181726) (|approxSqrt| . 1181626) (|sizePascalTriangle| . 1181497) (|rootSplit| . 1181092) (|odd?| . 1180751) (|subCase?| . 1179922) (|complexRoots| . 1179404) (|nlde| . 1179177) (|sizeLess?| . 1179086) (|horizSplit| . 1178222) (|symbol| . 1177973) (|s21bdf| . 1177805) (|checkForZero| . 1176914) (|augment| . 1175723) (|outputSpacing| . 1175611) (|bitLength| . 1175529) (|insertTop!| . 1175348) (|drawComplexVectorField| . 1175115) (|rightMult| . 1174960) (|makeViewport2D| . 1174765) (|rowEchelon| . 1172857) (|listVariable| . 1172577) (|se2rfi| . 1172168) (|completeEchelonBasis| . 1172002) (|middle| . 1171809) (|getEq| . 1171456) (|integralMatrixAtInfinity| . 1171172) (|smaller?| . 1171086) (|f02awf| . 1170915) (|alterDrift!| . 1170725) (|nthRootIfCan| . 1170542) (|OMgetEndBVar| . 1170460) (|overset?| . 1170047) (|zeroVector| . 1169880) (|jordanAdmissible?| . 1169540) (|pascalTriangle| . 1169377) (|postfix| . 1169327) (|cos2sec| . 1169112) (|iicoth| . 1168916) (|comp| . 1168660) (|f02aef| . 1168486) (|consRow!| . 1168247) (|reduceRow| . 1168125) (|colorDef| . 1168001) (|irreducibleFactor| . 1167879) (|leaves| . 1167758) (|LPolynomial| . 1164878) (|readLine!| . 1164800) (|lquo| . 1163892) (|uncorrelated?| . 1163302) (|clipSurface| . 1163180) (|padicallyExpand| . 1163028) (|Or| . 1162892) (|untab| . 1162712) (|partialFraction| . 1162069) (|monomials| . 1161275) (|OMgetBind| . 1161193) (|reducedDiscriminant| . 1160908) (|conditions| . 1160704) (|rationalIfCan| . 1159304) (|laplacian| . 1158979) (|setDifference| . 1158865) (|imagi| . 1158763) (|collect| . 1158423) (|diagonal| . 1158219) (|functionIsContinuousAtEndPoints| . 1157598) (|quotValuation| . 1157505) (|OMputEndAttr| . 1157423) (|foundPlaces| . 1157255) (|fixedPoint| . 1156923) (|char| . 1156767) (|symbolIfCan| . 1156645) (|arg1| . 1156497) (|blowUpWithExcpDiv| . 1155807) (|polar| . 1155623) (>= . 1155490) (|divergence| . 1155165) (|rotate| . 1154918) (|incrementBy| . 1154763) (|conditionsForIdempotents| . 1153539) (|canonicalIfCan| . 1153392) (|imag| . 1152652) (|listAllMonoExp| . 1152341) (|high| . 1152251) (|remainder| . 1151892) (|checkExtraValues| . 1151680) (|calcRanges| . 1151515) (|lazyPseudoDivide| . 1150608) (|qfactor| . 1150238) (|makeResult| . 1149964) (|reverse| . 1149562) (|Yun| . 1149351) (|euclideanSize| . 1149252) (AND . 1149034) (|convertIfCan| . 1148927) (|copyBSD| . 1148803) (|adaptive?| . 1148731) (|bernoulli| . 1148420) (|points| . 1148261) (|guessHolo| . 1143926) (|recip| . 1141942) (|palgLODE0| . 1140679) (|keys| . 1139828) (|univariate| . 1136881) (|useNagFunctions| . 1136459) (|coefChoose| . 1136152) (|e01baf| . 1135973) (|diff| . 1135561) (|empty?| . 1134465) (|freeOf?| . 1134054) (|generateIrredPoly| . 1133856) (|transcendenceDegree| . 1133535) (|lyndonIfCan| . 1133395) (|cschIfCan| . 1133254) (|incr| . 1133042) (|torsion?| . 1132197) (|removeDuplicates!| . 1131969) (|nextColeman| . 1131809) (|e02agf| . 1131535) (|preprocess| . 1130680) (^ . 1130080) (|symmetricGroup| . 1129778) (|selectfirst| . 1129654) (|key| . 1129391) (/ . 1125298) (|f04mbf| . 1124878) (|curveV| . 1124280) (|tubeRadiusDefault| . 1124072) (|mainDefiningPolynomial| . 1123952) (|doubleFloatFormat| . 1123871) (|factorial| . 1123523) (|d01akf| . 1123279) (|halfExtendedResultant2| . 1123038) (|desingTreeAtPoint| . 1122374) (|rationalFunction| . 1121932) (|subst| . 1121487) (|repeatUntilLoop| . 1121403) (|rubiksGroup| . 1121290) (|sub| . 1121240) (|purelyAlgebraicLeadingMonomial?| . 1120954) (|nextIrreduciblePoly| . 1120778) (|crushedSet| . 1120491) (|OMsend| . 1120336) (|invmod| . 1120275) (|close!| . 1120103) (|connect| . 1119944) (|s21bcf| . 1119779) (|pi| . 1119310) (|qqq| . 1119047) (|sech2cosh| . 1118832) (|checkOptions| . 1118702) (|nonLinearPart| . 1118587) (|minPoly| . 1118129) (|binary| . 1117939) (|minimumDegree| . 1117047) (|setFoundZeroes| . 1116926) (|roughBasicSet| . 1116529) (|subHeight| . 1116448) (|selectMultiDimensionalRoutines| . 1116398) (|iiacot| . 1116202) (|stoseInvertibleSetreg| . 1115840) (|heap| . 1115729) (|infix| . 1115583) (|f01rdf| . 1115347) (|iiBesselK| . 1115145) (|redPo| . 1114816) (|leaf?| . 1114384) (|numFunEvals| . 1114312) (|solid?| . 1114216) (|expressIdealMember| . 1114110) (|enterInCache| . 1113836) (|c06ekf| . 1113658) (|viewWriteAvailable| . 1113563) (|lfextlimint| . 1113053) (|setchildren!| . 1112887) (|nary?| . 1112803) (|isQuotient| . 1112504) (|prime| . 1112365) (|dflist| . 1112144) (|gnuDraw| . 1111285) (|e01sff| . 1111065) (|ShiftC| . 1110819) (|asechIfCan| . 1110678) (|coerceP| . 1110472) (|ZetaFunction| . 1107562) (|ran| . 1107305) (|critBonD| . 1106939) (|primintfldpoly| . 1106670) (|prepareSubResAlgo| . 1106266) (|orbit| . 1105122) (|representationType| . 1104996) (|genericRightDiscriminant| . 1104687) (|leftDivide| . 1103953) (|bringDown| . 1103414) (|OMputEndBVar| . 1103332) (|extDegree| . 1103207) (|sincos| . 1102968) (|constantCoefficientRicDE| . 1102474) (|showArrayValues| . 1102397) (|indiceSubResultantEuclidean| . 1102104) (|OMconnOutDevice| . 1102008) (|basis| . 1100378) (|FormatRoman| . 1100259) (|OMgetBVar| . 1100177) (|minColIndex| . 1099710) (|iiacoth| . 1099514) (|FormatArabic| . 1099395) (|inGroundField?| . 1099277) (|pseudoQuotient| . 1099134) (|firstExponent| . 1098879) (|brillhartTrials| . 1098561) (|domainOf| . 1098484) (|areEquivalent?| . 1097812) (|fortranLiteralLine| . 1097702) (|separe| . 1097517) (|op| . 1097361) (|modularFactor| . 1097150) (|summary| . 1097058) (|inverseIntegralMatrix| . 1096774) (|every?| . 1095579) (|generalizedContinuumHypothesisAssumed?| . 1095497) (|reduction| . 1094947) (|e02bbf| . 1094745) (|mainVariable| . 1093982) (|asinh| . 1092787) (|expand| . 1090895) (|eulerE| . 1090680) (|extractIfCan| . 1090526) (|po| . 1090370) (|infieldint| . 1090116) (|branchPointAtInfinity?| . 1089847) (|hex| . 1089743) (|plotPolar| . 1089114) (|oddlambert| . 1088621) (|subResultantGcdEuclidean| . 1088379) (|airyAi| . 1087936) (|iiasech| . 1087740) (|lazyPquo| . 1087360) (|leviCivitaSymbol| . 1087195) (|infinityNorm| . 1086881) (|solveLinear| . 1086357) (|subResultantChain| . 1086102) (|s18aff| . 1085943) (|f02xef| . 1085714) (|upperCase?| . 1085634) (|invertible?| . 1085016) (|mergeDifference| . 1084896) (|makeViewport3D| . 1084540) (|scale| . 1084058) (|chebyshevU| . 1083745) (|back| . 1083490) (|scaleRoots| . 1083327) (|f02adf| . 1083156) (|constantRight| . 1082916) (|reverse!| . 1082457) (|romberg| . 1082157) (|minimalPolynomial| . 1081402) (|e01bef| . 1081229) (|e02dcf| . 1080922) (|mapmult| . 1080788) (|linSolve| . 1080337) (|popFortranOutputStack| . 1080247) (|recur| . 1079888) (|e04mbf| . 1079655) (|makeop| . 1079349) (|subResultantGcd| . 1078819) (|routines| . 1078772) (|univcase| . 1078493) (|constantIfCan| . 1078322) (|ratPoly| . 1077867) (|swap| . 1077567) (|rightFactorIfCan| . 1077300) (|Is| . 1076083) (|poisson| . 1075941) (|nextItem| . 1075881) (|numberOfImproperPartitions| . 1075772) (|jacobian| . 1075206) (|graphCurves| . 1074606) (|prem| . 1074226) (|coerceS| . 1074005) (|subPolSet?| . 1073256) (|rightLcm| . 1073118) (|initial| . 1072871) (|patternMatch| . 1068746) (|d02cjf| . 1068254) (|antiAssociative?| . 1067914) (|continue| . 1067826) (|s13acf| . 1067667) (|expenseOfEvaluationIF| . 1067260) (|genericRightMinimalPolynomial| . 1066917) (|car| . 1066668) (|rightUnits| . 1066041) (|squareFreePolynomial| . 1065584) (|factorSFBRlcUnit| . 1064857) (= . 1063706) (|size| . 1061767) (|diffHP| . 1048543) (|expint| . 1048162) (|iisin| . 1047966) (|pol| . 1047768) (|gcdBasis| . 1047563) (|c06eaf| . 1047391) (|cons| . 1047232) (|deepestInitial| . 1047045) (|shufflein| . 1046889) (|unravel| . 1046693) (|complexSolve| . 1045600) (|prologue| . 1045417) (|psolve| . 1038749) (|isMult| . 1038528) (|LazardQuotient2| . 1038256) (|shiftRoots| . 1038093) (|solveLinearPolynomialEquationByFractions| . 1037836) (|zoom| . 1037307) (|traverse| . 1037138) (|cdr| . 1036889) (|resetBadValues| . 1036802) (|monomRDEsys| . 1036351) (|firstSubsetGray| . 1036214) (|unrankImproperPartitions1| . 1036065) (|d| . 1035898) (|fprindINFO| . 1035498) (|generalInfiniteProduct| . 1034494) (|subNodeOf?| . 1034198) (|removeConstantTerm| . 1033994) (|complexEigenvectors| . 1033657) (|powers| . 1033522) (|pmComplexintegrate| . 1032943) (|pointColorDefault| . 1032769) (|createLowComplexityNormalBasis| . 1032485) (|polyRing2UPUP| . 1032047) (|extendedint| . 1031701) (|Musser| . 1031490) (|validExponential| . 1031081) (|variationOfParameters| . 1030854) (|increasePrecision| . 1030682) (|OMputBVar| . 1030600) (|traceMatrix| . 1029976) (|tableau| . 1029852) (|reduceLODE| . 1029439) (|distribute| . 1029331) (|quadTransform| . 1028911) (|writeObj| . 1028758) (|Somos| . 1028486) (|units| . 1027859) (|merge!| . 1027388) (|light| . 1027312) (|shade| . 1027123) (|wordInGenerators| . 1026941) (|algebraicOf| . 1026653) (|f04faf| . 1026466) (|quartic| . 1025939) (|integralBasis| . 1024207) (|realZeros| . 1021936) (BY . 1021815) (|setGcdMode| . 1021628) (|additive?| . 1021475) (|makeCos| . 1021267) (|partialNumerators| . 1021136) (|printHeader| . 1020842) (|transcendent?| . 1020724) (|call| . 1020643) (RF2UTS . 1020303) (|cycleEntry| . 1020205) (|id| . 1020110) (|positiveRemainder| . 1020049) (|properties| . 1019937) (|rootRadius| . 1019551) (|isobaric?| . 1019276) (|unitVector| . 1018549) (|complexNumeric| . 1014862) (|f04maf| . 1014612) (|dnrm2| . 1014434) (|clipWithRanges| . 1014140) (|mpsode| . 1013838) (|lexico| . 1013482) (|extendedSubResultantGcd| . 1012862) (|selectSumOfSquaresRoutines| . 1012812) (|explicitEntries?| . 1012690) (|changeName| . 1012571) (|printInfo!| . 1012372) (|eyeDistance| . 1012251) (|div| . 1012201) (|simpsono| . 1011901) (|deepExpand| . 1011690) (|BasicMethod| . 1011543) (|rk4qc| . 1010757) (|evenlambert| . 1010264) (|stoseIntegralLastSubResultant| . 1009859) (|deleteProperty!| . 1009773) (|linkToFortran| . 1008926) (|palgLODE| . 1008323) (|makeRecord| . 1008146) (|stopTableGcd!| . 1007453) (|gcdBasisAdd| . 1007245) (|trace2PowMod| . 1007032) (|bitTruth| . 1006919) (|taylorIfCan| . 1006733) (|product| . 1005640) (|setIntersection| . 1005526) (|mathieu22| . 1005263) (|coercePreimagesImages| . 1005135) (|setnext!| . 1004994) (|idealiserMatrix| . 1004684) (|froot| . 1004129) (|ptree| . 1003947) (|numer| . 1002684) (|graphs| . 1002407) (|complexNormalize| . 1001134) (|leadingMonomial| . 1000042) (|smith| . 999794) (|triangularSystems| . 999546) (|polygon| . 999026) (|laplace| . 998640) (|setClosed| . 998505) (|wordsForStrongGenerators| . 998352) (|permutationRepresentation| . 997583) (|En| . 997395) (|shift| . 996864) (|innerEigenvectors| . 996413) (|f01qef| . 996198) (|f02akf| . 996021) (|s17aef| . 995862) (|divOfZero| . 995765) (|evalIfCan| . 991678) (|iitanh| . 991482) (|pushFortranOutputStack| . 991243) (|quotientByP| . 991181) (|integralMatrix| . 990897) (|parent| . 990779) (|cyclePartition| . 990658) (|shanksDiscLogAlgorithm| . 990428) (|cAsinh| . 990268) (|lift| . 988367) (|internalInfRittWu?| . 987618) (|Ci| . 987323) (|univariate?| . 987036) (|monicDecomposeIfCan| . 986754) (|cyclotomicFactorization| . 986584) (|fractionPart| . 985970) (|surface| . 985874) (|rightRank| . 985682) (|exprHasAlgebraicWeight| . 985353) (|explogs2trigs| . 984960) (|title| . 984514) (|exp1| . 984433) (|pointToPlace| . 983972) (|leastMonomial| . 983785) (|wordInStrongGenerators| . 983603) (|drift| . 983474) (|addMatch| . 983302) (|gcdprim| . 983159) (|primintegrate| . 982740) (|slope| . 981794) (|translateToOrigin| . 980666) (|mainPrimitivePart| . 980447) (|aLinear| . 980213) (|zeroOf| . 979542) (|wronskianMatrix| . 979081) (|doubleComplex?| . 978993) (|karatsuba| . 978774) (|genericLeftTrace| . 978462) (|complexEigenvalues| . 978230) (|c06frf| . 978019) (|doubleDisc| . 977784) (|polyred| . 977568) (|deleteRoutine!| . 977482) (|genericLeftTraceForm| . 977167) (|increment| . 977015) (|basisOfLeftNucloid| . 976826) (|adjoint| . 975791) (|mathieu11| . 975528) (|numberOfOperations| . 975240) (|diagonalProduct| . 974732) (|csc2sin| . 974517) (|e04ycf| . 974301) (|posExpnPart| . 974201) (|OMputFloat| . 974084) (|rquo| . 973176) (|real| . 972236) (|jacobiIdentity?| . 971896) (|setleft!| . 971752) (|toScale| . 971540) (|redPol| . 971270) (|external?| . 971188) (D . 969633) (|triangSolve| . 968551) (|And| . 968415) (|decreasePrecision| . 968243) (|sin?| . 968120) (|functionName| . 967910) (|drawToScale| . 967742) (|reducedSystem| . 967345) (|primlimitedint| . 966804) (|omError| . 966671) (|monom| . 966220) (|groebnerFactorize| . 964773) (|length| . 963253) (|nil| . 963179) (|coefficientSet| . 962947) (|semicolonSeparate| . 962854) (|fortranCarriageReturn| . 962774) (|simplifyLog| . 962559) (|expandTrigProducts| . 962158) (|true| . 962117) (|parabolic| . 961933) (|positive?| . 961456) (|indicialEquationAtInfinity| . 960816) (|extractProperty| . 960652) (|retractable?| . 959841) (|expextendedint| . 959335) (|iExquo| . 959186) (|mainForm| . 959085) (|choosemon| . 958820) (|resultant| . 957937) (|generalSqFr| . 957662) (|columns| . 957084) (|completeHermite| . 956773) (|padicFraction| . 956674) (|viewSizeDefault| . 956466) (|repeating| . 956359) (|acsch| . 955164) (|fi2df| . 955024) (|floor| . 954824) (|permutations| . 954680) (|s17dlf| . 954438) (|guessBinRat| . 947385) (|nthRoot| . 947011) (|commaSeparate| . 946799) (|rewriteIdealWithRemainder| . 946488) (|factorsOfCyclicGroupSize| . 946335) (|dequeue| . 945938) (|createHN| . 945725) (UTS2UP . 945412) (|goppaCode| . 944112) (|iiacsc| . 943916) (|has?| . 943802) (|suchThat| . 941870) (|balancedFactorisation| . 941399) (|stablePol| . 941248) (|fortranLiteral| . 941138) (|elliptic?| . 940608) (|rk4| . 940031) (|maxRowIndex| . 939564) (|vertSplit| . 938942) (|safeFloor| . 938779) (|pair?| . 938502) (|acosh| . 937307) (|direction| . 937167) (|simplify| . 936487) (|powmod| . 936423) (|select| . 935605) (|finite?| . 935275) (|trapezoidal| . 934975) (|f07fdf| . 934789) (|completeHensel| . 934555) (|order| . 929930) (|remove| . 928964) (|iiatan| . 928768) (|Si| . 928473) (|nor| . 928375) (|polarCoordinates| . 928127) (|explicitlyFinite?| . 928009) (|setelt| . 925607) (|allIndices| . 925451) (|leftRegularRepresentation| . 925131) (|maxShift| . 924853) (|linearDependence| . 924631) (|noKaratsuba| . 924457) (|diagonal?| . 924003) (|normalizedDivide| . 923453) (|iFTable| . 922858) (|wholeRadix| . 922735) (|definingInequation| . 922502) (|paren| . 922229) (|vertConcat| . 921771) (|setTower!| . 921657) (|baseRDEsys| . 921348) (|xRange| . 921119) (|inrootof| . 920900) (|useEisensteinCriterion| . 920742) (|HermiteIntegrate| . 919985) (|reduceLineOverLine| . 919866) (|meshPar2Var| . 918835) (|nextPartition| . 918499) (|showFortranOutputStack| . 918397) (|normalize| . 917298) (|assoc| . 917083) (|OMgetVariable| . 916999) (|iter| . 916812) (|numberOfFractionalTerms| . 916685) (|inverseIntegralMatrixAtInfinity| . 916401) (|singleFactorBound| . 915678) (|upDateBranches| . 914395) (|setsymbName!| . 913858) (|OMwrite| . 912527) (|lexTriangular| . 912222) (|expt| . 912036) (|roman| . 911874) (|makeSin| . 911666) (|cAtanh| . 911506) (|tex| . 911418) (|dfRange| . 911285) (|iidsum| . 911087) (|ellipticCylindrical| . 910878) (|s18adf| . 910719) (|degreeSubResultantEuclidean| . 910426) (|integral| . 909441) (|dequeue!| . 909186) (|factorSquareFreePolynomial| . 908997) (|sinhcosh| . 908756) (|mapMatrixIfCan| . 908354) (|nsqfree| . 907829) (|euler| . 907559) (|binomThmExpt| . 907332) (|clearTheIFTable| . 907241) (|seriesSolve| . 903171) (|removeCoshSq| . 902956) (|pile| . 902863) (|node?| . 902705) (|OMgetApp| . 902623) (|prinpolINFO| . 902331) (|factorUsingYun| . 901907) (|trueEqual| . 901813) (|singularAtInfinity?| . 901544) (|exquo| . 900044) (|binaryTree| . 899861) (|setLegalFortranSourceExtensions| . 899768) (|aColumn| . 899488) (|fracPart| . 899188) (|OMencodingBinary| . 899138) (|value| . 898714) (|errorKind| . 898620) (|conjugate| . 897590) (|d03eef| . 897213) (|OMputVariable| . 897101) (|transcendentalDecompose| . 895186) (|subNode?| . 894930) (|ground?| . 894344) (|zeroDim?| . 893804) (|exQuo| . 892837) (|makeYoungTableau| . 892680) (|jordanAlgebra?| . 892340) (|min| . 891851) (|s20acf| . 891692) (|iiAiryAi| . 891518) (|setright!| . 891374) (|iiasin| . 891178) (|fortranCompilerName| . 891090) (|trunc| . 890747) (|filterWhile| . 890493) (|flagFactor| . 890313) (|usingTable?| . 890144) (|OMcloseConn| . 890058) (|twist| . 889815) (|represents| . 888686) (|qPot| . 888507) (|multivariate| . 886838) (|approximate| . 885707) (|csch2sinh| . 885492) (|medialSet| . 884826) (|tablePow| . 884552) (|extendedIntegrate| . 884171) (|truncatedmuladd| . 884004) (|rootPower| . 883447) (|df2fi| . 883307) (|label| . 883257) (|displayKind| . 883176) (|affinePoint| . 883053) (|lepol| . 882786) (|leftExtendedGcd| . 882566) (|children| . 882286) (|generalizedInverse| . 882030) (|packExps| . 881823) (|rightRegularRepresentation| . 881503) (|balancedBinaryTree| . 881363) (|exprHasWeightCosWXorSinWX| . 880993) (|setmult!| . 880464) (|fixedDivisor| . 880303) (|setValue!| . 880124) (|makeObject| . 875653) (|whileLoop| . 875569) (|separateDegrees| . 875314) (|sturmSequence| . 875125) (|numerator| . 874748) (|outputAsTex| . 874504) (|relativeApprox| . 873944) (|nthExponent| . 873822) (|OMgetEndBind| . 873740) (|s14baf| . 873575) (|intensity| . 873454) (|minimize| . 873173) (|insert| . 872928) (|cAsech| . 872768) (|s17ahf| . 872609) (|basicSet| . 871754) (|goto| . 871666) (|sizeMultiplication| . 870757) (|innerSolve1| . 870226) (|cSech| . 870066) (|reduceRowOnList| . 869913) (|mul| . 869777) (|Not| . 869647) (|condition| . 869471) (|subtractIfCan| . 869394) (|genusTree| . 868676) (|filename| . 868582) (|packageCall| . 868433) (|kernel| . 867916) (|linearlyDependent?| . 867706) (|graphStates| . 867257) (|newton| . 867077) (|pToHdmp| . 866854) (|extractClosed| . 866708) (|imagE| . 866606) (|oddInfiniteProduct| . 865720) (|rename| . 865626) (|divideExponents| . 865471) (|d02gbf| . 865065) (* . 856486) (|axesColorDefault| . 856312) (|showAllElements| . 856168) (|puiseux| . 852992) (|setMaxPoints| . 852917) (|chvar| . 852529) (|tanSum| . 852410) (|hasHi| . 852293) (|divisor| . 850795) (|youngGroup| . 850499) (|sechIfCan| . 850358) (|projectionSet| . 850117) (|vconcat| . 849977) (|OMgetInteger| . 849892) (|square?| . 849438) (|iicsc| . 849242) (|cyclicEqual?| . 849127) (|iiacos| . 848931) (|rootBound| . 848589) (|sup| . 848377) (|coleman| . 848217) (|listRepresentation| . 848044) (|OMgetSymbol| . 847914) (|stoseInvertible?reg| . 847503) (|standardBasisOfCyclicSubmodule| . 847268) (|variable| . 846577) (|characteristic| . 844891) (|removeSinhSq| . 844676) (|cothIfCan| . 844535) (|child| . 844375) (|arity| . 844270) (|cyclicParents| . 844149) (|aRow| . 843869) (|cSinh| . 843709) (F2FG . 843347) (|e02bdf| . 843180) (|integer?| . 842681) (|sts2stst| . 842454) (|extract!| . 841952) (|primaryDecomp| . 841400) (|lo| . 841310) (|d01aqf| . 841063) (|goodPoint| . 840823) (|writable?| . 840734) (|Ei| . 840317) (|triangular?| . 840009) (|numericalOptimization| . 839419) (|rotate!| . 839164) (|findOrderOfDivisor| . 837366) (|edf2efi| . 837196) (|unexpand| . 836880) (|setTopPredicate| . 836727) (|ScanRoman| . 836608) (|rules| . 836252) (|internalSubQuasiComponent?| . 835539) (|heapSort| . 835281) (|generalizedEigenvectors| . 834930) (|OMmakeConn| . 834835) (|algint| . 834452) (|d03edf| . 834214) (|curve?| . 834093) (|pade| . 833178) (|iifact| . 833008) (|logical?| . 832920) (|string?| . 832643) (|numberOfDivisors| . 832544) (|copies| . 832429) (|maxrow| . 832135) (|cot2trig| . 831920) (|setRow!| . 831174) (|computeCycleEntry| . 831033) (|initializeGroupForWordProblem| . 830760) (|symbolTable| . 830617) (|tube| . 830213) (|determinant| . 829226) (|measure2Result| . 828780) (|pivots| . 828569) (EQ . 828351) (|pToDmp| . 828139) (|truncate| . 827781) (|inspect| . 827279) (|Ei1| . 827154) (|hasTopPredicate?| . 827039) (|normInvertible?| . 826648) (|resultantSet| . 826407) (|eval| . 815419) (|cAtan| . 815259) (E1 . 815102) (|measure| . 810192) (|basisOfNucleus| . 810014) (|mr| . 809710) (|solve| . 792892) (|evalat| . 792753) (|coordinates| . 790627) (|algebraicDecompose| . 789679) (|perfectSquare?| . 789551) (|toseInvertibleSet| . 789199) (|maxDerivative| . 788921) (|OMencodingXML| . 788871) (|nextsousResultant2| . 788699) (|symmetricDifference| . 788602) (|quote| . 788515) (|output| . 787993) (|denominator| . 787606) (|top| . 787264) (|numberPlacesDegExtDeg| . 785846) (|slex| . 785687) (|changeWeightLevel| . 785066) (|viewDefaults| . 784982) (|lfunc| . 784899) (|idealSimplify| . 784666) (|interpolateForms| . 782636) (|createNormalElement| . 782505) (|create| . 780900) (|primeFactor| . 780778) (|listAllMono| . 780496) (|linearAssociatedExp| . 780309) (|mix| . 779987) (|constDsolve| . 779459) (|unitsColorDefault| . 779285) (|satisfy?| . 778678) (|numeric| . 777101) (|maxColIndex| . 776634) (|redpps| . 776136) (|transpose| . 775284) (|largest| . 774937) (|overlabel| . 774887) (|parabolicCylindrical| . 774703) (|entry?| . 774469) (|lazyPseudoRemainder| . 774364) (|mask| . 774306) (|e02zaf| . 774121) (|generators| . 773728) (|base| . 773285) (|sortedPurge!| . 773086) (|monicModulo| . 772794) (|members| . 771762) (|getDomains| . 771630) (|factorList| . 771068) (GF2FG . 770675) (|makeGraphImage| . 770073) (|alphanumeric?| . 769993) (|index?| . 769834) (|critpOrder| . 769449) (|lagrange| . 768956) (|iiasinh| . 768760) (|mapExponents| . 768290) (|reduceBasisAtInfinity| . 768016) (|digit| . 767968) (|toint| . 767850) (|toseLastSubResultant| . 767455) (|exteriorDifferential| . 767308) (|lowerPolynomial| . 766979) (|rationalPoints| . 764664) (|f02fjf| . 763877) (|setTex!| . 763786) (|ffactor| . 763479) (|dot| . 762724) (|const| . 762558) (|yellow| . 762519) (|complexZeros| . 761818) (|leftTraceMatrix| . 761312) (|e02bef| . 761020) (|listOfTerms| . 760371) (|deepCopy| . 760253) (|probablyZeroDim?| . 759938) (|getGraph| . 759803) (|intPatternMatch| . 759129) (|itsALeaf!| . 758961) (|RittWuCompare| . 758733) (|cLog| . 758573) (|innerint| . 757933) (|eulerPhi| . 757834) (|rhs| . 757324) (|fibonacci| . 757225) (|patternMatchTimes| . 756755) (|c06gqf| . 756580) (|d01alf| . 756287) (|movedPoints| . 756049) (|d01bbf| . 755883) (|denomRicDE| . 755505) (|geometric| . 755363) (|expr| . 755114) (|segment| . 754820) (|B1solve| . 754116) (|var1StepsDefault| . 753926) (|close| . 753651) (|showClipRegion| . 753529) (|antisymmetricTensors| . 753109) (|getExplanations| . 752987) (|destruct| . 752502) (|remainder!| . 752341) (|tubePointsDefault| . 752151) (|sort| . 751427) (|closed?| . 751202) (|clipParametric| . 750624) (|chiSquare| . 750480) (|antisymmetric?| . 750026) (|normalizeAtInfinity| . 749752) (|expIfCan| . 749611) (|alternative?| . 749271) (|credits| . 749179) (|systemCommand| . 749066) (|complexForm| . 748381) (|stoseInternalLastSubResultant| . 747435) (|symbolTableOf| . 747316) (|wholePart| . 746892) (|DiffC| . 746646) (|palgRDE0| . 745547) (|ldf2lst| . 745124) (|factorOfDegree| . 743703) (|realElementary| . 743022) (|cRationalPower| . 742840) (|operator| . 740922) (|factorSquareFree| . 738958) (+ . 736263) (|checkPrecision| . 736174) (|index| . 735639) (|contractSolve| . 734983) (|bits| . 734631) (|OMputBind| . 734549) (|standardDotHeader| . 734465) (|columnSpace| . 734210) (|ptFunc| . 733866) (|filterUpTo| . 733735) (|d01gbf| . 733437) (|rightRecip| . 733214) (|printStats!| . 733048) (|dom| . 732970) (|iicos| . 732774) (|projection| . 732676) (|polyPart| . 732485) (|clip| . 731143) (|computeBasis| . 730930) (|leftGcd| . 730636) (|tValues| . 730537) (|showTypeInOutput| . 730436) (|OMencodingUnknown| . 730386) (|clearDenominator| . 729497) (|stop| . 729452) (|squareFreeFactors| . 729133) (|lookup| . 728865) (|bit?| . 728770) (|doubleRank| . 728578) (|stoseSquareFreePart| . 728176) (|rootsOf| . 727365) (|Ei2| . 727240) (|qsetelt!| . 726828) (|rowEchLocal| . 726683) (|HenselLift| . 726378) (|setlocalPoint!| . 725833) (|basisOfCommutingElements| . 725655) (|separateFactors| . 725104) (|rootOfIrreduciblePoly| . 724692) (|content| . 723993) (|count| . 721528) (|aCubic| . 721288) (|yRange| . 721059) (|xCoord| . 720945) (|resize| . 720682) (|supRittWu?| . 720464) (|guess| . 708965) (|algebraicSet| . 708561) (|sumOfDivisors| . 708462) (|rootKerSimp| . 707826) (|setImagSteps| . 707744) (|iipow| . 707546) (|sqfrFactor| . 707424) (|moebius| . 707325) (|curve| . 706616) (|powerSum| . 706465) (|void| . 706427) (|e04gcf| . 706168) (|recolor| . 705903) (|powerAssociative?| . 705761) (|multiplicity| . 704804) (|vark| . 704570) (|fTable| . 703451) (|f07fef| . 703256) (|atrapezoidal| . 702953) (|eq| . 702673) (|nthFactor| . 701826) (|s18acf| . 701667) (|acothIfCan| . 701526) (|epilogue| . 701343) (|coth2trigh| . 701128) (|imagK| . 700925) (|status| . 700453) (|definingField| . 700262) (|semiResultantReduitEuclidean| . 699993) (|f01ref| . 699766) (|f02aaf| . 699601) (|fortranCharacter| . 699556) (|ipow| . 699358) (|cAcsch| . 699198) (|maxTower| . 699081) (|expintfldpoly| . 698757) (|polynomialZeros| . 698489) (|coerceL| . 698268) (|cycleElt| . 698120) (|allDegrees| . 697908) (|algDsolve| . 697373) (|stirling2| . 697254) (|pack!| . 697118) (|e04ucf| . 696574) (|showTheIFTable| . 696514) (|height| . 695580) (|mainContent| . 695361) (|acot| . 694163) (|third| . 694065) (|leader| . 693818) (|scalarTypeOf| . 693684) (|ramifiedAtInfinity?| . 693415) (|blockConcat| . 693137) (|check| . 692381) (|OMencodingSGML| . 692331) (|stiffnessAndStabilityOfODEIF| . 691855) (|directory| . 691767) (|pushdterm| . 691365) (|OMUnknownCD?| . 691277) (|fullPartialFraction| . 691054) (|cosIfCan| . 690913) (|equality| . 690778) (|fmecg| . 689713) (|credPol| . 689443) (|reduceByQuasiMonic| . 689187) (|multiEuclideanTree| . 689062) (|oneDimensionalArray| . 688811) (|simplifyPower| . 688654) (|save| . 688609) (|graphImage| . 688565) (|rowEchWoZeroLinesWOVectorise| . 688450) (|shallowExpand| . 688239) (|differentiate| . 683883) (|clearCache| . 683770) (|s17agf| . 683611) (|createPrimitiveElement| . 683556) (|lazyIntegrate| . 683325) (|powern| . 683117) (|startTableGcd!| . 682352) (|summation| . 681741) (|rdregime| . 681119) (|sPol| . 680765) (|less?| . 679549) (|singularPointsWithRestriction| . 679142) (|limitPlus| . 678302) (|pointInIdeal?| . 677924) (|binarySearchTree| . 677801) (|library| . 677722) (|iisqrt3| . 677529) (|symbNameV| . 676995) (|localParam| . 676824) (|removeZero| . 676568) (|structuralConstants| . 675352) (|extension| . 675264) (|formula| . 675166) (|fintegrate| . 674602) (|multMonom| . 674123) (|rowEchelonLocal| . 673975) (|OMgetEndApp| . 673893) (|debug| . 673609) (|f01rcf| . 673418) (|trapezoidalo| . 673118) (|depth| . 672497) (|acotIfCan| . 672356) (|stoseInvertible?| . 671586) (|ode| . 671321) (|getOrder| . 671142) (|printInfo| . 668237) (|mapdiv| . 668075) (|setMinPoints3D| . 667998) (|errorInfo| . 667906) (|hdmpToP| . 667683) (|midpoint| . 667414) (|headReduce| . 666971) (|setCondition!| . 666792) (|createZechTable| . 666581) (|simplifyExp| . 666366) (|semiLastSubResultantEuclidean| . 666132) (|newTypeLists| . 666046) (|primitivePart!| . 665827) (|eigenMatrix| . 665634) (|blue| . 665595) (|stopTableInvSet!| . 664902) (|noncommutativeJordanAlgebra?| . 664562) (|palgextint| . 664078) (|listOfMonoms| . 663860) (|OMputApp| . 663778) (|s15adf| . 663619) (|cCosh| . 663459) (|box| . 663276) (|rotatex| . 663135) (|degreeOfMinimalForm| . 662881) (|unrankImproperPartitions0| . 662732) (|times| . 662484) (|imaginary| . 662386) (|someBasis| . 662242) (|element| . 661959) (|divideIfCan!| . 661615) (|firstNumer| . 661516) (|horizJoin| . 661385) (|sort!| . 661030) (|localize| . 660441) (|e04naf| . 660032) (|guessPade| . 655697) (|factorFraction| . 655480) (|controlPanel| . 655241) (|alphabetic| . 655193) (|resultantnaif| . 655027) (|att2Result| . 654130) (|swap!| . 653929) (|parametric?| . 653854) (|variableName| . 653644) (|cycleSplit!| . 653504) (|readLineIfCan!| . 653416) (|bandedHessian| . 653019) (|lyndon?| . 652861) (|toseInvertible?| . 652111) (|parse| . 652032) (|column| . 651559) (|palgintegrate| . 651063) (|multiServ| . 650952) (|distance| . 650828) (|encode| . 650711) (|pdf2ef| . 650556) (|lazyIrreducibleFactors| . 650190) (|vectorise| . 649896) (|OMreadFile| . 649787) (|objects| . 649509) (|affineSingularPoints| . 648149) (|zag| . 648099) (|fullDisplay| . 647492) (|distFact| . 646850) (|f04asf| . 646666) (|symmetricRemainder| . 646605) (|int| . 645955) (|c06gcf| . 645783) (|newElement| . 645202) (|univariateSolve| . 642961) (|bfEntry| . 642720) (|dioSolve| . 642400) (|initParLocLeaves| . 641710) (|multiple| . 641434) (|logIfCan| . 641293) (|removeRedundantFactorsInPols| . 640971) (|rename!| . 640877) (|dmpToP| . 640665) (|normalElement| . 640353) (|Zero| . 640052) (|setFoundPlacesToEmpty| . 639884) (|getPickedPoints| . 639768) (|singularPoints| . 638155) (|pattern| . 637838) (|rewriteIdealWithHeadRemainder| . 637527) (|Beta| . 636880) (|reseed| . 636766) (|unitNormal| . 636622) (|atom?| . 636345) (|iCompose| . 636237) (|csc| . 635042) (|harmonic| . 634902) (|ddFact| . 634668) (|characteristicPolynomial| . 632723) (GT . 632505) (|showTheSymbolTable| . 632457) (|fffg| . 632016) (|listSD| . 631830) (|alternatingGroup| . 631528) (|interval| . 631040) (|sequences| . 630734) (|enumerate| . 630465) (|expPot| . 630277) (|genus| . 627815) (|torsionIfCan| . 626838) (|completeEval| . 626447) (|setlast!| . 626304) (|palglimint0| . 625045) (|fullOutput| . 622270) (|clearTheSymbolTable| . 622085) (|assign| . 617623) (|bernoulliB| . 617408) (|mirror| . 616764) (|variableOf| . 616586) (|float?| . 616309) (|lambert| . 615816) (|csch| . 614624) (|compose| . 614339) (|infinity| . 614148) (|OMputObject| . 614066) (|zero?| . 613136) (|halfExtendedSubResultantGcd2| . 612584) (|tail| . 612209) (|squareTop| . 612020) (|sech| . 610828) (|failed| . 610521) (|mainMonomial| . 610334) (|numFunEvals3D| . 610260) (|outputFixed| . 610081) (|exponentialOrder| . 609858) (|iisech| . 609662) (|swapRows!| . 609439) (|denomLODE| . 608616) (|OMputSymbol| . 608501) (|optAttributes| . 607997) (|collectQuasiMonic| . 607744) (|d01anf| . 607494) (|iiperm| . 607296) (|yCoord| . 607182) (|ldf2vmf| . 607030) (|asech| . 605835) (|squareFreeLexTriangular| . 605374) (|RemainderList| . 604988) (|intermediateResultsIF| . 604581) (|inconsistent?| . 603823) (|mantissa| . 603651) (|checkRur| . 603206) (|c05nbf| . 602923) (|coshIfCan| . 602782) (|build| . 602303) (|splitSquarefree| . 602023) (|rarrow| . 601973) (|rk4a| . 601680) (|reductum| . 599645) (|intersect| . 597849) (|invertibleElseSplit?| . 597541) (|exists?| . 597452) (|findCycle| . 597201) (|makeCrit| . 596742) (|affineAlgSet| . 595831) (|groebSolve| . 595466) (|modTree| . 595341) (|coerceListOfPairs| . 595213) (|dilog| . 594918) (|setRealSteps| . 594836) (|leastAffineMultiple| . 594670) (|hue| . 594410) (|seed| . 594324) (|s17def| . 594085) (|push!| . 593731) (|complex?| . 593643) (|setLabelValue| . 593555) (|quasiAlgebraicSet| . 593291) (|linearPart| . 593176) (|compBound| . 592954) (|dimensions| . 592601) (|f04mcf| . 592360) (|primlimintfrac| . 591959) (|integerDecode| . 591868) (|mapGen| . 591240) (|nand| . 591142) (|paraboloidal| . 590958) (|isExpt| . 589332) (|s21baf| . 589170) (|inBetweenExcpDiv| . 588508) (|gcdcofactprim| . 588365) (|genericLeftNorm| . 588053) (|linearAssociatedLog| . 587675) (|hasSolution?| . 587086) (|e04fdf| . 586827) (|pastel| . 586751) (|unparse| . 586672) (|excpDivV| . 586167) (|bottom!| . 585992) (|exprToXXP| . 585432) (|commutator| . 585329) (|sortConstraints| . 584996) (|identitySquareMatrix| . 584829) (|lifting1| . 584126) (|fractRagits| . 584001) (|One| . 583556) (|cAcsc| . 583396) (|clearTheFTable| . 583306) (|approxNthRoot| . 583164) (|graphState| . 582911) (|leftDiscriminant| . 582495) (|minGbasis| . 582228) (|acos| . 580847) (|rightScalarTimes!| . 580706) (|continuedFraction| . 579777) (|perfectNthRoot| . 579445) (|directSum| . 579077) (|simpleBounds?| . 578934) (|lllp| . 578785) (|factorials| . 578262) (|cTanh| . 578102) (|cSin| . 577942) (|withPredicates| . 577819) (|phiCoord| . 577705) (|extendedResultant| . 577413) (|maxMixedDegree| . 577179) (|retractToGrn| . 577011) (|ocf2ocdf| . 576842) (|resultantReduitEuclidean| . 576556) (|quadraticNorm| . 576242) (|lists| . 576016) (|showIntensityFunctions| . 575441) (|rischDEsys| . 574746) (|zCoord| . 574632) (|palgRDE| . 574138) (|digits| . 573517) (|swapColumns!| . 573294) (|d02bbf| . 572904) (|extractSplittingLeaf| . 572718) (|qcoerce| . 572546) (|listLoops| . 572382) (|mainMonomials| . 572167) (|delete!| . 571887) (|OMsupportsSymbol?| . 571771) (|LyndonBasis| . 571477) (|cubic| . 570953) (|xor| . 570805) (|conical| . 570593) (|quo| . 570434) (|iroot| . 570198) (|leftRankPolynomial| . 569431) (|rightAlternative?| . 569091) (|genusNeg| . 567242) (|maxPower| . 566970) (|mat| . 566777) (|quadratic?| . 566643) (|palgint0| . 565628) (|center| . 565087) (|realEigenvectors| . 564789) (|makeCell| . 564468) (|makeFloatFunction| . 564030) (|atoms| . 563804) (|iicosh| . 563608) (|primitive?| . 563325) (|PollardSmallFactor| . 563200) (|cExp| . 563040) (|multiplyCoefficients| . 562592) (|front| . 562337) (|allRootsOf| . 561295) (|pop!| . 560953) (|linGenPos| . 560609) (|rightExactQuotient| . 560461) (~ . 560370) (|/\\| . 560273) (|sylvesterSequence| . 560081) (|digamma| . 559638) (|solveLinearPolynomialEquation| . 558650) (|rule| . 557988) (|semiSubResultantGcdEuclidean1| . 557763) (|whatInfinity| . 557632) (< . 557124) (|elRow2!| . 556826) (|spherical| . 556642) (|factors| . 555955) (|squareFreeBasis| . 555750) (|leadingIdeal| . 555522) (|cAsin| . 555362) (|s18def| . 555123) (|multiplyExponents| . 554645) (|getStream| . 554467) (|parametrize| . 551184) (|rowEchWoZeroLines| . 551069) (|d02ejf| . 550491) (|evalADE| . 550050) (|squareFree| . 547537) (|resetVariableOrder| . 547445) (|leftScalarTimes!| . 547304) (|c06fqf| . 547096) (|gcdPolynomial| . 546548) (|indicialEquations| . 544755) (|differentialVariables| . 544480) (|chainSubResultants| . 544286) (|applyTransform| . 543979) (|ddot| . 543795) (|printStatement| . 543701) (|lazyPseudoQuotient| . 543596) (|createIrreduciblePoly| . 543394) (|f02ajf| . 543223) (|cycle| . 543094) (|computePowers| . 542905) (|fractRadix| . 542779) (|presuper| . 542729) (|optional| . 542453) (|cot| . 541258) (|fullParamInit| . 540568) (|multiEuclidean| . 540467) (|cycleLength| . 540330) (|internalZeroSetSplit| . 539569) (|createMultiplicationMatrix| . 539335) (|cTan| . 539175) (|rational| . 537855) (|leftCharacteristicPolynomial| . 537688) (|nextPrimitivePoly| . 537512) (|tower| . 537413) (|rangePascalTriangle| . 537155) (|testModulus| . 536944) (|mapUnivariate| . 536283) (|commonDenominator| . 535424) (|OMserve| . 535298) (|elt| . 526078) (|mainVariableOf| . 525963) (|yCoordinates| . 525651) (|orderIfNegative| . 525513) (|map!| . 524298) (|or| . 524153) (|zeroSetSplit| . 520455) (|birth| . 520337) (|normalDenom| . 520115) (|selectIntegrationRoutines| . 520065) (|position!| . 519975) (|complexExpand| . 519327) (|pfaffian| . 519100) (|pointDominateBy| . 517346) (|predicates| . 517226) (|numberOfValuesNeeded| . 516800) (|drotg| . 516653) (|topFortranOutputStack| . 516561) (|systemSizeIF| . 516154) (|normalized?| . 515134) (|exprHasLogarithmicWeights| . 514828) (|OMputAtp| . 514746) (|topPredicate| . 514579) (|laurentRep| . 514402) (|numberOfCycles| . 514272) (|squareMatrix| . 514117) (|complexIntegrate| . 513398) (|s21bbf| . 513233) (|iiGamma| . 513059) (|multiplicative?| . 512906) (|LiePoly| . 512736) (|power!| . 512550) (|coef| . 511950) (|leadingIndex| . 511477) (|rightFactorCandidate| . 511281) (|repeating?| . 511109) (|replace| . 510994) (|OMlistSymbols| . 510873) (|name| . 510230) (|Gamma| . 509320) (|returnTypeOf| . 509153) (|appendRow!| . 508914) (|fullDesTree| . 508466) (|expintegrate| . 508033) (|null?| . 507756) (|specialise| . 507499) (|selectOptimizationRoutines| . 507449) (|d02raf| . 507013) (|lflimitedint| . 506488) (|findCoef| . 506357) (|imagk| . 506255) (|maxSubst| . 505983) (|lp| . 505852) (|insertionSort!| . 505309) (|tensorMap| . 505148) (|OMgetFloat| . 505059) (|getMultiplicationMatrix| . 504402) (|functionNames| . 504312) (|lowerCase!| . 504258) (|possiblyInfinite?| . 504140) (|setEpilogue!| . 503951) (|variables| . 501735) (|allPairsAmong| . 501189) (|convergents| . 501045) (|pointLists| . 500932) (|flatten| . 500886) (LODO2FUN . 500572) (|setEmpty!| . 500396) (|homogenize| . 498591) (|viewWriteDefault| . 498401) (|match?| . 498277) (|sinh2csch| . 498062) (|infLex?| . 497757) (|lazyVariations| . 497461) (|bezoutMatrix| . 497167) (|getMultiplicationTable| . 496389) (|nextPrimitiveNormalPoly| . 496213) (|ricDsolve| . 492754) (|double| . 492568) (|comparison| . 492433) (|decimal| . 492333) (|midpoints| . 492046) (|minRowIndex| . 491579) (|subsInVar| . 491290) (|inv| . 490084) (|halfExtendedResultant1| . 489843) (|datalist| . 489728) (|df2mf| . 489596) (|component| . 489078) (|max| . 488511) (|minset| . 488157) (|setScreenResolution3D| . 488080) (|asinhIfCan| . 487939) (|optimize| . 486703) (|getButtonValue| . 486588) (|createMultiplicationTable| . 486334) (|viewZoomDefault| . 486154) (|arrayStack| . 486036) (|factorCantorZassenhaus| . 485536) (|leftExactQuotient| . 485222) (|sample| . 484493) (|leftTrace| . 484376) (F2EXPRR . 484186) (|setCurve| . 482983) (|certainlySubVariety?| . 482665) (|tanh2trigh| . 482450) (|root?| . 482304) (|e01bff| . 482122) (|primitiveMonomials| . 481916) (|symbol?| . 481527) (|pointData| . 481371) (SEGMENT . 481101) (|optional?| . 480986) (|lhs| . 480476) (|union| . 479880) (|changeVar| . 479102) (|scan| . 477108) (|quotVecSpaceBasis| . 476983) (|exponent| . 476199) (|rischDE| . 475467) (|primitivePart| . 474300) (|icamax| . 474154) (|zaxpy| . 473943) (|e02ddf| . 473678) (|rightTraceMatrix| . 473172) (|janko2| . 472909) (|critT| . 472527) (|goodnessOfFit| . 472189) (|jacobi| . 472087) (|d02kef| . 471247) (|cAcosh| . 471087) (|bumptab| . 470867) (|setMaxPoints3D| . 470790) (|crest| . 470569) (|alternating| . 470418) (|Ei6| . 470293) (|say| . 470069) (|numberOfChildren| . 469912) (|Ei3| . 469787) (|replaceVarByZero| . 469501) (|leadingTerm| . 469323) (|functionIsFracPolynomial?| . 469005) (|realRoots| . 468541) (|color| . 468354) (|atan| . 466883) (|atanh| . 465688) (|primextintfrac| . 465361) (|iicot| . 465165) (|entry| . 464076) (|realSolve| . 461975) (|imagI| . 461772) (|startTableInvSet!| . 461007) (|outlineRender| . 460885) (|contains?| . 460704) (|uncouplingMatrices| . 460460) (|morphism| . 460094) (|brace| . 459750) (|rightDivide| . 459240) (|point?| . 459119) (|charClass| . 458942) (|readable?| . 458853) (|bezoutResultant| . 458516) (|expandPower| . 458301) (|leadingExponent| . 457828) (|setErrorBound| . 457635) (|leftFactorIfCan| . 457410) (|exactQuotient| . 456959) (|setAdaptive3D| . 456882) (|pointSizeDefault| . 456692) (|quadraticForm| . 456529) (|algebraic?| . 456130) (|countable?| . 456045) (|semiSubResultantGcdEuclidean2| . 455820) (|stepBlowUp| . 455063) (|input| . 454811) (|hi| . 454721) (|rationalPower| . 454503) (|factorAndSplit| . 454344) (|leadingCoefficientRicDE| . 453881) (|consnewpol| . 453381) (|dimension| . 451899) (|revert| . 451406) (|symmetric?| . 450952) (|ratDenom| . 449265) (|fillPascalTriangle| . 449150) (|flexibleArray| . 448889) (|listYoungTableaus| . 448726) (|maxPoints| . 448489) (|nextSublist| . 448095) (|row| . 447383) (|node| . 447277) (|green| . 447238) (|setchart!| . 446730) (|changeThreshhold| . 446615) (|generalPosition| . 446222) (|basisOfRightAnnihilator| . 446041) (|beauzamyBound| . 445699) (|factorUsingMusser| . 445275) (|triangulate| . 444598) (|list?| . 444321) (|f04jgf| . 444096) (|sorted?| . 443769) (|roughBase?| . 443461) (|pdf2df| . 443315) (|reportInstantiations| . 443192) (|integralRepresents| . 442915) (|expandLog| . 442700) (|matrixGcd| . 442348) (|string| . 441898) (|infiniteProduct| . 441012) (|subresultantVector| . 440812) (|cAcot| . 440652) (|interpolateFormsForFact| . 438642) (|lastSubResultantElseSplit| . 438340) (|aspFilename| . 438249) (|suppOfZero| . 438124) (|top!| . 437949) (|nextsubResultant2| . 437716) (|coth| . 436524) (|unitNormalize| . 436433) (|limitedint| . 436013) (|partitions| . 435578) (|makingStats?| . 435409) (|iidprod| . 435211) (|log| . 432877) (|finiteBasis| . 432577) (|elem?| . 432458) (|countRealRootsMultiple| . 432214) (|bumptab1| . 432043) (|vectorcombination| . 431870) (|printingInfo?| . 431701) (|badNum| . 431175) (|isAbsolutelyIrreducible?| . 430767) (|asinIfCan| . 430626) (|append| . 430546) (|finiteSeries2Vector| . 430326) (|f04arf| . 430142) (|dihedralGroup| . 429840) (|univariatePolynomialsGcds| . 429174) (|df2st| . 428805) (|pr2dmp| . 428454) (|localReal?| . 428230) (UP2UTS . 427959) (|trim| . 427771) (|cosSinInfo| . 427637) (|maxdeg| . 427346) (|factorSqFree| . 426761) (|lSpaceBasis| . 426461) (|LiePolyIfCan| . 426088) (|dAndcExp| . 425861) (|leftRecip| . 425638) (|conjugates| . 425522) (|sign| . 423104) (|integer| . 422727) (|splitDenominator| . 421136) (|tanIfCan| . 420995) (|possiblyNewVariety?| . 420640) (|tanhIfCan| . 420499) (|LyndonWordsList| . 420300) (|multiset| . 420017) (|OMUnknownSymbol?| . 419929) (|zeroSetSplitIntoTriangularSystems| . 419570) (|retract| . 410362) (|bag| . 409692) (|dznrm2| . 409502) (|e02daf| . 409231) (|argumentList!| . 408820) (|dominantTerm| . 408146) (|join| . 408015) (|cos| . 406545) (|s19aaf| . 406386) (|initiallyReduce| . 405943) (|moduloP| . 405847) (|red| . 405808) (|rectangularMatrix| . 405608) (|rangeIsFinite| . 405049) (|character?| . 404961) (|physicalLength| . 404678) (|block| . 404583) (|rowEch| . 404441) (|infRittWu?| . 403196) (|maxint| . 403016) (|fortranInteger| . 402971) (|drawComplex| . 402707) (|rightTrace| . 402590) (|Lazard| . 402382) (|basisOfLeftAnnihilator| . 402201) (|machineFraction| . 402106) (|setPredicates| . 401983) (|cn| . 401808) (|createPrimitiveNormalPoly| . 401606) (|distdfact| . 401289) (|antiCommutative?| . 400949) (|tan| . 399571) (|applyQuote| . 398917) (|monomial?| . 398001) (|palginfieldint| . 397536) (|solveInField| . 396599) (|fixedPointExquo| . 396405) (|BumInSepFFE| . 396042) (|zeroMatrix| . 395515) (|sturmVariationsOf| . 395253) (|linearPolynomials| . 394882) (|tan2cot| . 394667) (> . 394534) (|copy!| . 394396) (|d02gaf| . 394074) (|options| . 393653) (|mainCoefficients| . 393438) (|principal?| . 393130) (|fixPredicate| . 392832) (|htrigs| . 392617) (|failed?| . 392248) (|iiatanh| . 392052) (|showAttributes| . 390953) (|quatern| . 390840) (|extractPoint| . 390693) (|bright| . 390410) (|random| . 389157) (|hclf| . 388968) (|genericLeftDiscriminant| . 388659) (|hyperelliptic| . 388105) (|writeLine!| . 387949) (|coerceImages| . 387830) (|specialTrigs| . 387544) (|e02ahf| . 387330) (|match| . 385988) (|binomial| . 385414) (|mkIntegral| . 385105) (|var2Steps| . 384877) (|useEisensteinCriterion?| . 384722) (|nodes| . 384601) (|reset| . 383718) (|cscIfCan| . 383577) (|euclideanNormalForm| . 383295) (|bfKeys| . 383205) (|regularRepresentation| . 382799) (|subQuasiComponent?| . 381360) (|any| . 381254) (|pseudoRemainder| . 381148) (|addBadValue| . 380876) (|resultantEuclidean| . 380628) (|digit?| . 380548) (|neglist| . 380415) (|cardinality| . 380276) (|rem| . 380117) (|idealiser| . 379497) (|setref| . 379412) (|nullity| . 378236) (|setelt!| . 377896) (|radicalSimplify| . 377558) (F . 377411) (|virtualDegree| . 377133) (|dot2eps| . 377030) (|t| . 376886) (|rewriteIdealWithQuasiMonicGenerators| . 376510) (|fortranTypeOf| . 376394) (|computeCycleLength| . 376217) (|queue| . 376104) (|map| . 350696) (LE . 350478) (|fixedPoints| . 350331) (|table| . 350003) (|solve1| . 349737) (|createGenericMatrix| . 349558) (|cap| . 349391) (|e04dgf| . 349048) (|acscIfCan| . 348907) (|univariatePolynomial| . 348031) (|DiffAction| . 347807) (|writeDotGraph| . 347662) (|pointToCell| . 347450) (|init| . 347219) (|replaceVarByOne| . 346933) (|homogeneous?| . 346615) (|gcdPrimitive| . 345811) (|iilog| . 345615) (|linearAssociatedOrder| . 345431) (|getGoodPrime| . 345160) (|externalList| . 345070) (|generalInterpolation| . 343103) (|infix?| . 343022) (|placesOfDegree| . 340779) (|mvar| . 340352) (|pointColorPalette| . 340218) (|iidigamma| . 340044) (|numberOfFactors| . 339667) (|graeffe| . 339474) (|extractTop!| . 339299) (|multiple?| . 339184) (|getDatabase| . 338975) (|edf2fi| . 338820) (|round| . 338765) (|divideIfCan| . 338509) (|fortranLogical| . 338464) (|bandMatrix| . 337902) (|s14aaf| . 337743) (|patternVariable| . 337592) (|cyclicEntries| . 337471) (|lex| . 337340) (|bivariatePolynomials| . 336969) (|finiteBound| . 336784) (|coefficients| . 335701) (|mainCharacterization| . 335437) (|sinhIfCan| . 335296) (|tanQ| . 334925) (|outputGeneral| . 334746) (|axes| . 334311) (|rational?| . 332501) (|normalForm| . 331914) (|inHallBasis?| . 331797) (|bsolve| . 330954) (|inc| . 330896) (|trailingCoefficient| . 330739) (|getZechTable| . 330118) (|startPolynomial| . 329849) (|primPartElseUnitCanonical!| . 329625) (|strongGenerators| . 329485) (|terms| . 328869) (|quoted?| . 328754) (|magnitude| . 328600) (|numericalIntegration| . 327975) (|mapUnivariateIfCan| . 327614) (|elementary| . 327463) (|lazyPrem| . 327083) (|selectFiniteRoutines| . 327033) (|lfintegrate| . 326630) (|enterPointData| . 326457) (|typeList| . 326215) (|radicalEigenvalues| . 326034) (|removeDuplicates| . 325874) (|redmat| . 325496) (|characteristicSerie| . 324722) (|enqueue!| . 324458) (|rest| . 323682) (|SturmHabichtCoefficients| . 323467) (|quoByVar| . 323362) (|ratpart| . 323271) (|createRandomElement| . 323104) (|stosePrepareSubResAlgo| . 322690) (|recoverAfterFail| . 322563) (|lcm| . 322248) (|initials| . 321967) (|appendPoint| . 321844) (|eq?| . 321189) (|nthFractionalTerm| . 321059) (|pow| . 320659) (|endSubProgram| . 320578) (|stoseInvertible?sqfreg| . 320167) (|c05pbf| . 319880) (|ruleset| . 319524) (|acsc| . 318326) (|compiledFunction| . 317802) (|nthFlag| . 317625) (|listConjugateBases| . 317120) (|concat| . 316011) (|totalDifferential| . 315830) (|polynomial| . 315033) (|groebgen| . 314701) (|super| . 314651) (|associatedEquations| . 314250) (|raisePolynomial| . 313921) (|aromberg| . 313618) (|Nul| . 313525) (|genusTreeNeg| . 312775) (|numberOfIrreduciblePoly| . 312623) (|setFieldInfo| . 312381) (|common| . 312261) (|branchPoint?| . 311720) (|maximumExponent| . 311560) (|zRange| . 311444) (|backOldPos| . 311082) (|rows| . 310504) (|deref| . 310422) (|myDegree| . 310007) (|alphanumeric| . 309959) (|combineFeatureCompatibility| . 309751) (|var1Steps| . 309523) (|minus!| . 309247) (|changeBase| . 308920) (|numberRatPlacesExtDeg| . 307511) (|mulbybinomial| . 307189) (|safety| . 306955) (|normalise| . 306839) (|besselJ| . 306384) (|chartCoord| . 306291) (|normal?| . 305765) (|removeZeroes| . 304466) (|SturmHabichtSequence| . 304223) (|is?| . 303119) (|frst| . 303025) (|insertMatch| . 302853) (|objectOf| . 302776) (|option?| . 302625) (|f01qdf| . 302401) (|closedCurve| . 301881) (|perfectSqrt| . 301771) (|rightTrim| . 301583) (GE . 301365) (|ceiling| . 301165) (|axServer| . 301002) (|blowUp| . 300310) (|cyclic?| . 300080) (|eigenvector| . 299763) (|#| . 298382) (|setsubMatrix!| . 298156) (|constantOperator| . 297986) (|leadingBasisTerm| . 297724) (|logpart| . 297460) (|previousTower| . 297377) (|copyslice| . 297213) (|submod| . 297149) (|e02adf| . 296973) (|oblateSpheroidal| . 296764) (|knownInfBasis| . 296457) (|exprToGenUPS| . 295578) (|divisors| . 295442) (|monicLeftDivide| . 294914) (|OMgetObject| . 294832) (|next| . 294736) (|c06fuf| . 294522) (|negAndPosEdge| . 294228) (|trigs2explogs| . 293785) (|e04jaf| . 293520) (|construct| . 289200) (|resultantEuclideannaif| . 288952) (|matrix| . 287935) (|cPower| . 287772) (|branchIfCan| . 286783) (|boundOfCauchy| . 286588) (|subTriSet?| . 285895) (|composites| . 285774) (|d01asf| . 285527) (|Frobenius| . 284938) (|shallowCopy| . 284820) (|resetNew| . 284749) (|defineProperty| . 284531) (|dcopy| . 284379) (|matrixConcat3D| . 284244) (|evaluateInverse| . 283966) (|minPoints3D| . 283892) (|safetyMargin| . 283550) (|leftFactor| . 283383) (|rightDiscriminant| . 282967) (|selectAndPolynomials| . 282541) (|symmetricSquare| . 282396) (|parametersOf| . 282306) (|real?| . 281557) (|show| . 281398) (|ideal| . 280496) (|subMultV| . 279970) (|scalarMatrix| . 279538) (|ode2| . 279304) (|first| . 278336) (|dn| . 278161) (|tanh2coth| . 277946) (|complementaryBasis| . 277672) (|decompose| . 274812) (|prod| . 274668) (|newLine| . 274587) (|primitiveRowEchelon| . 274257) (|exprex| . 274036) (|basisOfCenter| . 273858) (|genericRightTraceForm| . 273543) (|stFunc1| . 273262) (|collectUpper| . 273016) (|evaluate| . 272025) (|lowerCase| . 271883) (|thetaCoord| . 271769) (|size?| . 270880) (|mapUp!| . 270598) (|explicitlyEmpty?| . 270476) (|internalIntegrate| . 269752) (|f02axf| . 269575) (|factorsOfDegree| . 269316) (|generic| . 267630) (|simpson| . 267330) (|integralBasisAtInfinity| . 267059) (|createNormalPoly| . 266857) (|ratDsolve| . 265050) (|divide!| . 264886) (|lllip| . 264727) (|llprop| . 264570) (|leftMinimalPolynomial| . 264366) (|setcurve!| . 263765) (|cycleTail| . 263667) (|mulmod| . 263603) (|removeSuperfluousQuasiComponents| . 262916) (|maxrank| . 262348) (|minIndex| . 262187) (|createNormalPrimitivePoly| . 261985) (|palgint| . 261536) (|newSubProgram| . 261427) (|figureUnits| . 261273) (|modifyPoint| . 260675) (|f01mcf| . 260457) (|shellSort| . 260199) (|decrease| . 259975) (|problemPoints| . 259473) (|d01ajf| . 259229) (|bitCoef| . 259144) (|more?| . 258088) (|lifting| . 257507) (|bivariateSLPEBR| . 257110) (|isPlus| . 256169) (|reduce| . 249584) (|rootProduct| . 249027) (|nonQsign| . 248904) (|implies| . 248857) (|outputMeasure| . 248737) (|tryFunctionalDecomposition| . 248579) (|stripCommentsAndBlanks| . 248492) (|lastNonNul| . 248365) (|wreath| . 248239) (|setleaves!| . 248110) (|modifyPointData| . 247767) (|normDeriv2| . 247442) (|newtonPolygon| . 247040) (|copyInto!| . 246868) (|commutativeEquality| . 246685) (|sum| . 244008) (|internalSubPolSet?| . 243259) (|viewThetaDefault| . 243079) (|stack| . 242966) (|samplePoint| . 242702) (|tab1| . 242525) (|UP2ifCan| . 242061) (|leftOne| . 241941) (|updatD| . 241575) (|matrixDimensions| . 241423) (|meshFun2Var| . 241009) (|second| . 240911) (|operators| . 240808) (|monicRightFactorIfCan| . 240544) (|acschIfCan| . 240403) (|headRemainder| . 240063) (|leftLcm| . 239769) (|besselY| . 239314) (|squareFreePart| . 238479) (|cartesian| . 238295) (|moduleSum| . 237909) (|setSingularPoints| . 236660) (|times!| . 236519) (|setProperties| . 236404) (|copyQuadVar| . 236192) (|e01sbf| . 235933) (|addMatchRestricted| . 235758) (|setColumn!| . 235522) (|horizConcat| . 235064) (|antiCommutator| . 235005) (|substitute| . 234900) (|trigs| . 234292) (|scanOneDimSubspaces| . 234040) (|delay| . 233791) (|interpret| . 233596) (|elRow1!| . 233301) (|numerators| . 233170) (|exp| . 230903) (|OMreceive| . 230776) (|reducedContinuedFraction| . 230642) (|putGraph| . 230479) (|groebner?| . 230223) (|removeRedundantFactorsInContents| . 229901) (|rightPower| . 229715) (|exprToUPS| . 228836) (|permutation| . 228479) (|extensionDegree| . 227791) (|identity| . 227653) (|zeta| . 227570) (|vedf2vef| . 227393) (|gcd| . 224973) (|invertIfCan| . 224665) (|mapCoef| . 224470) (|qShiftC| . 224221) (FG2F . 223859) (** . 218015) (|removeFirstZeroes| . 217915) (|solveid| . 217680) (|intcompBasis| . 217418) (|flush| . 217262) (|maxIndex| . 217101) (|safeCeiling| . 216938) (|prindINFO| . 216541) (|Vectorise| . 216373) (|LowTriBddDenomInv| . 216112) (|squareFreePrim| . 215836) (|quadratic| . 215315) (|mathieu23| . 215052) (|nrows| . 214399) (|multV| . 213873) (|one| . 213661) (|setpoint!| . 213153) (|autoReduced?| . 212814) (|regime| . 211897) (|SturmHabicht| . 211682) (|split!| . 211511) (|mindeg| . 211223) (|scripted?| . 211146) (|OMread| . 211029) (|makeFR| . 210520) (|space| . 210233) (|float| . 209761) (|symmetricPower| . 209315) (|internalAugment| . 208054) (|setDegree!| . 207847) (|mesh?| . 207726) (|flexible?| . 207386) (|iiacsch| . 207190) (|partialQuotients| . 207059) (|lintgcd| . 206888) (|e02ajf| . 206671) (|s17aff| . 206512) (|upperCase!| . 206458) (OR . 206240) (|changeNameToObjf| . 206124) (|brillhartIrreducible?| . 205822) (|getMatch| . 205643) (|mindegTerm| . 205445) (|firstDenom| . 205314) (|airyBi| . 204871) (|list| . 204457) (|pmintegrate| . 203326) (|finiteSeries2LinSys| . 203076) (|findTerm| . 202878) (|secIfCan| . 202737) (|tensorProduct| . 202222) (|ODESolve| . 201785) (|maxDegree| . 201507) (|izamax| . 201321) (|getSmgl| . 201214) (|alterQuadVar!| . 201021) (|removeRedundantFactors| . 199531) (|pureLex| . 199324) (|corrPoly| . 198764) (|mainVariable?| . 198490) (|primes| . 198351) (|setPosition| . 198228) (|sumSquares| . 198092) (|reorder| . 197452) (|LazardQuotient| . 197183) (|cache| . 197067) (|getVariableOrder| . 196908) (|OMopenString| . 196784) (|refine| . 195012) (|modulus| . 193862) (|argumentListOf| . 193739) (|sumOfKthPowerDivisors| . 193598) (|henselFact| . 193025) (|multinomial| . 192878) (|hermite| . 192472) (|result| . 192228) (|selectPolynomials| . 191811) (|cubicBezier| . 191652) (|radicalOfLeftTraceForm| . 191474) (|createPrimitivePoly| . 191272) (|mainSquareFreePart| . 191053) (|mesh| . 189765) (|permanent| . 189545) (|integerBound| . 189326) (|toroidal| . 189117) (|edf2ef| . 188962) (|OMgetString| . 188878) (|radical| . 188534) (|statusIto| . 188377) (|Ei5| . 188252) (|guessAlg| . 183917) (|rotatey| . 183776) (|OMgetEndAttr| . 183694) (|permutationGroup| . 183554) (|actualExtensionV| . 183049) (|s13aaf| . 182890) (|guessPRec| . 175837) (|identification| . 175576) (|pquo| . 175196) (|quasiComponent| . 174865) (|numericIfCan| . 173497) (|reducedQPowers| . 173262) (|randnum| . 173090) (|qnew| . 172488) (|cycles| . 172350) (|generic?| . 172235) (|tab| . 172073) (|foundZeroes| . 171955) (|alphabetic?| . 171875) (|pleskenSplit| . 171391) (|semiResultantEuclideannaif| . 171160) (|doubleResultant| . 170844) (|minPoints| . 170607) (|isList| . 170470) (|drawCurves| . 169992) (|transform| . 169728) (|removeIrreducibleRedundantFactors| . 169359) (|idamax| . 169219) (|SFunction| . 169059) (|gramschmidt| . 168934) (|basisOfMiddleNucleus| . 168756) (|rCoord| . 168642) (|ramifMult| . 168549) (|hexDigit?| . 168469) (|initializeParamOfPlaces| . 167057) (|musserTrials| . 166731) (|universe| . 166605) (|overlap| . 166167) (|shiftHP| . 152943) (|karatsubaOnce| . 152769) (|OMReadError?| . 152681) (|rspace| . 152597) (|forLoop| . 152316) (|kovacic| . 151523) (|zeroSquareMatrix| . 151356) (|double?| . 151268) (|OMsupportsCD?| . 151155) (|erf| . 150860) (|messagePrint| . 150755) (|set| . 150545) (|intChoose| . 149952) (|partition| . 149750) (|ramified?| . 149209) (|Aleph| . 149113) (|listBranches| . 148852) (|lfinfieldint| . 148480) (|d01fcf| . 148185) (|OMgetType| . 148101) (|generalLambert| . 147472) (|approximants| . 147328) (|extendedEuclidean| . 147049) (|monicCompleteDecompose| . 146809) (|guessRat| . 139756) (|indiceSubResultant| . 139548) (|relationsIdeal| . 139149) (|maxPoints3D| . 139075) (|s15aef| . 138916) (|plusInfinity| . 138727) (|newtonPolySlope| . 138275) (|extractBottom!| . 138100) (|cross| . 137795) (|directProduct| . 137666) (|iiBesselY| . 137464) (|acoth| . 136269) (|solveLinearPolynomialEquationByRecursion| . 135555) (|option| . 135072) (|sampleDotGraph| . 134988) (|function| . 134279) (|cAcoth| . 134119) (|PDESolve| . 133562) (|supersub| . 133466) (|fortran| . 133254) (|d03faf| . 132915) (|iiabs| . 132741) (|monomialIntegrate| . 132387) (|zero| . 131995) (|relerror| . 131916) (|d01apf| . 131663) (|xn| . 131456) (|taylor| . 127605) (|userOrdered?| . 127474) (|sinIfCan| . 127333) (|elimZeroCols!| . 127180) (|dswap| . 126968) (|definingPolynomial| . 125724) (|lowerCase?| . 125644) (|weights| . 125054) (|delete| . 124794) (|minordet| . 124060) (|numberOfComputedEntries| . 123927) (|subset?| . 123802) (|imagJ| . 123599) (|hcrf| . 123410) (|belong?| . 121702) (|orbits| . 121571) (|qShiftAction| . 121344) (|setPoly| . 121206) (|OMgetError| . 121124) (|binaryTournament| . 121001) (|singularitiesOf| . 120136) (|leftTrim| . 119948) (|iiBesselJ| . 119746) (|irreducibleRepresentation| . 119217) (|cycleRagits| . 119094) (|root| . 118845) (|monic?| . 118445) (|packModulus| . 118179) (|radicalEigenvectors| . 117881) (|bombieriNorm| . 117217) (|ignore?| . 116860) (|f01brf| . 116524) (|chartV| . 116019) (|tan2trig| . 115804) (|OMgetEndAtp| . 115722) (|ReduceOrder| . 115305) (|cylindricalDecomposition| . 114861) (|shiftLeft| . 114716) (|mathieu24| . 114453) (|mergeFactors| . 114310) (|stFuncN| . 114011) (|gderiv| . 113834) (|setStatus| . 113551) (|absolutelyIrreducible?| . 112961) (|noLinearFactor?| . 112810) (|minimumExponent| . 112650) (|fresnelS| . 112262) (|fill!| . 111887) (|schwerpunkt| . 111675) (|quasiRegular| . 111428) (|commutative?| . 111088) (|s17dcf| . 110849) (|MPtoMPT| . 110600) (|stirling1| . 110481) (|subresultantSequence| . 110238) (|critB| . 109962) (|fglmIfCan| . 109545) (|cyclotomic| . 109073) (|unmakeSUP| . 108920) (|leftZero| . 108804) (|ScanArabic| . 108685) (|doublyTransitive?| . 108531) (|colorFunction| . 108150) (|setScreenResolution| . 108075) (|entries| . 106803) (|integerIfCan| . 106662) (|splitLinear| . 106556) (|numberOfNormalPoly| . 106404) (|repack1| . 106178) (|closedCurve?| . 106057) (|zeroDimPrimary?| . 105685) (|semiResultantEuclidean2| . 105454) (|delta| . 105268) (|eisensteinIrreducible?| . 105110) (|makeSketch| . 104909) (|setStatus!| . 104702) (|select!| . 104370) (|e02def| . 104188) (|OMunhandledSymbol| . 104075) (|ShiftAction| . 103851) (|asec| . 102653) (|ncols| . 102000) (|gbasis| . 101699) (|rightExtendedGcd| . 101479) (|cotIfCan| . 101338) (|tomodpa| . 101146) (|adjunctionDivisor| . 99290) (|s18dcf| . 99051) (|setexcpDiv!| . 98543) (|complex| . 98439) (|s13adf| . 98280) (|sqfree| . 97963) (|quotedOperators| . 97617) (|addPoint2| . 97467) (|totalLex| . 97260) (|pivot| . 97040) (|uniform| . 96606) (|create3Space| . 96392) (|selectsecond| . 96268) (|restorePrecision| . 96182) (|purge!| . 95983) (|laguerre| . 95822) (|hdmpToDmp| . 95573) (|lazyResidueClass| . 95047) (|endOfFile?| . 94968) (|integralLastSubResultant| . 94573) (|OMopenFile| . 94446) (|f01maf| . 94141) (|s19acf| . 93982) (|critMTonD1| . 93619) (|mathieu12| . 93356) (|f07adf| . 93197) (|sylvesterMatrix| . 92903) (|roughEqualIdeals?| . 92592) (|iiacosh| . 92396) (|polCase| . 92049) (|cfirst| . 91828) (|linear| . 91310) (|dim| . 91051) (|seriesToOutputForm| . 90698) (|divisorCascade| . 90116) (|purelyAlgebraic?| . 89550) (|unitCanonical| . 89497) (|OMclose| . 89415) (|normalizeIfCan| . 89025) (|modularGcd| . 88763) (|gcdcofact| . 88620) (|OMputEndApp| . 88538) (|dec| . 88480) (|associator| . 88418) (|elColumn2!| . 88120) (|getAncestors| . 87988) (|e01daf| . 87809) (|reciprocalPolynomial| . 87616) (|genericLeftMinimalPolynomial| . 87273) (|aQuadratic| . 87036) (|primPartElseUnitCanonical| . 86812) (|latex| . 86009) (|divide| . 85050) (|testDim| . 84742) (|computeInt| . 84319) (|makeSeries| . 84074) (|dictionary| . 83848) (|completeSmith| . 83513) (|screenResolution3D| . 83439) (|nullary?| . 83355) (|leftUnits| . 82728) (|tryFunctionalDecomposition?| . 82573) (|leftMult| . 82418) (|stoseInvertibleSetsqfreg| . 82056) (|lighting| . 81929) (|width| . 81626) (|lexGroebner| . 81454) (|curveColorPalette| . 81320) (|type| . 81181) (|signAround| . 80437) (|UpTriBddDenomInv| . 80176) (|fortranLinkerArgs| . 80088) (|asin| . 78707) (|point| . 77691) (|countRealRoots| . 77479) (|finiteSeries2LinSysWOVectorise| . 77229) (|minrank| . 76661) (|screenResolution| . 76424) (|iiBesselI| . 76222) (|fortranComplex| . 76177) (|ranges| . 75730) (|ksec| . 75491) (|plus!| . 75350) (|rootSimp| . 74793) (|iiasec| . 74597) (|unary?| . 74513) (|iibinom| . 74315) (|over| . 74265) (|closeComponent| . 74065) (|tanNa| . 73943) (|null| . 73838) (|e02dff| . 73647) (|setvalue!| . 73509) (|central?| . 73328) (|selectNonFiniteRoutines| . 73278) (|nextNormalPrimitivePoly| . 73102) (|kmax| . 72896) (|lyndon| . 72766) (|open| . 72477) (|mkPrim| . 72229) (|composite| . 71776) (|nthr| . 71244) (|pushup| . 70140) (|stiffnessAndStabilityFactor| . 69928) (|ScanFloatIgnoreSpaces| . 69819) (|superHeight| . 69738) (|tracePowMod| . 69525) (|clipBoolean| . 69391) (|lcmCoef| . 69250) (|negative?| . 68773) (|internal?| . 68627) (|weierstrass| . 68420) (|genericRightNorm| . 68108) (|associative?| . 67768) (|rischNormalize| . 67307) (|padecf| . 67002) (|lastNonNull| . 66875) (|degreePartition| . 66371) (|primextendedint| . 65879) (|showAll?| . 65741) (|bandedJacobian| . 65341) (|viewPosDefault| . 65127) (|f04atf| . 64940) (|leadingCoefficient| . 62916) (|extractIndex| . 62759) (|pseudoRem| . 62619) (|modularGcdPrimitive| . 62357) (|applyRules| . 61597) (|createLowComplexityTable| . 61347) (|prepareDecompose| . 60320) (- . 57500) (|module| . 56839) (|adaptive| . 56462) (|compdegd| . 56076) (|trivialIdeal?| . 55805) (|numberOfComponents| . 55064) (|merge| . 54113) (|semiResultantEuclidean1| . 53882) (|showTheFTable| . 53823) (|tubePlot| . 52532) (|read!| . 52401) (|mainVariables| . 52130) (|selectOrPolynomials| . 51704) (|abs| . 50774) (|removeRoughlyRedundantFactorsInPols| . 50166) (|components| . 50045) (|generalizedEigenvector| . 49277) (|new| . 47987) (|sbt| . 47884) (|splitNodeOf!| . 47376) (|hessian| . 47021) (|tRange| . 46840) (|uniform01| . 46750) (|stopMusserTrials| . 46424) (|monomRDE| . 46023) (|low| . 45933) (|fortranDouble| . 45888) (|optpair| . 45751) (|exponential1| . 45661) (|KrullNumber| . 44806) (|minimalForm| . 43882) (|iisqrt2| . 43689) (|pointV| . 43184) (|position| . 42302) (|multisect| . 41673) (|search| . 41526) (|c06fpf| . 41318) (|c06ebf| . 41146) (|f02agf| . 40975) (|OMlistCDs| . 40884) (|Hausdorff| . 40619) (|s14abf| . 40460) (|OMconnInDevice| . 40364) (|unprotectedRemoveRedundantFactors| . 40074) (|edf2df| . 39928) (|outputFloating| . 39749) (|constantKernel| . 39588) (|LyndonCoordinates| . 39294) (|wrregime| . 38641) (|lastSubResultantEuclidean| . 38390) (|coth2tanh| . 38175) (|degree| . 33361) (|rst| . 33267) (|normal01| . 33177) (|nullary| . 33051) (|makeSUP| . 32898) (|copyIto| . 32762) (|duplicates?| . 32635) (|localParamOfSimplePt| . 32113) (|right| . 31532) (|cosh2sech| . 31317) (|s01eaf| . 31146) (|viewPhiDefault| . 30966) (|OMconnectTCP| . 30810) (|reducedForm| . 30709) (|introduce!| . 30599) (|acosIfCan| . 30458) (|eigenvectors| . 30071) (|pdct| . 29991) (|newReduc| . 29771) (|identityMatrix| . 29603) (|power| . 29441) (|lfextendedint| . 29003) (|solid| . 28904) (|totalGroebner| . 28732) (|insertBottom!| . 28551) (|style| . 28341) (|resultantReduit| . 28143) (|constant| . 27177) (|besselI| . 26722) (|mightHaveRoots| . 26498) (|internalDecompose| . 23523) (|genericRightTrace| . 23211) (|sin2csc| . 22996) (|element?| . 22737) (|f2df| . 22612) (|generalCoefficient| . 22214) (|twoFactor| . 21908) (|sdf2lst| . 21479) (|integralCoordinates| . 21167) (|octon| . 20918) (|indexName| . 20708) (|semiDegreeSubResultantEuclidean| . 20432) (|tree| . 19768) (|factorSquareFreeByRecursion| . 19072) (|listexp| . 18739) (|leftRemainder| . 18445) (|singRicDE| . 17352) (|trace| . 16535) (|algintegrate| . 16039) (|physicalLength!| . 15781) (|mkAnswer| . 15436) (|c06gsf| . 15261) (|bubbleSort!| . 14718) (|numberOfVariables| . 13863) (|readIfCan!| . 13590) (|particularSolution| . 12578) (|lambda| . 12487) (|indices| . 12331) (|monomialIntPoly| . 12073) (|OMputEndBind| . 11991) (|inverseColeman| . 11831) (|invertibleSet| . 11545) (|property| . 11424) (|leftUnit| . 11263) (|OMParseError?| . 11175) (|rewriteSetWithReduction| . 10802) (|key?| . 10637) (|allSimpleCells| . 10158) (|randomLC| . 9805) (|in?| . 9183) (|inverseLaplace| . 8752) (|arg2| . 8604) (|halfExtendedSubResultantGcd1| . 8052) (|extendIfCan| . 7786) (|move| . 7517) (|leastPower| . 7198) (|declare| . 7080) (|li| . 6785) (|apply| . 6042) (|addPoint| . 5447) (|varList| . 4072) (|leftQuotient| . 3778) (|not| . 3595) (|dmpToHdmp| . 3346) (|varselect| . 3140) (|cCsch| . 2980) (|fractionFreeGauss!| . 2682) (|concat!| . 2061) (|bezoutDiscriminant| . 1727) (|shiftInfoRec| . 1157) (|hermiteH| . 1002) (|curryLeft| . 759) (|abelianGroup| . 598) (|viewDeltaXDefault| . 418) (|ravel| . 222) (|biRank| . 30))