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Bounded inverse theoremDualityDistributive propertyQuadratic reciprocityHurewicz theoremFrobenius algebraRepresentation theoremIsomorphism theoremsFenchel's duality theoremTranspose of a linear mapMutual recursionDarboux's theoremFrobenius inner productDualEquivalence relationLimitImplicit function theoremInverse elementPreorderConvex conjugateEquivariant mapInverse function ruleMorphismSchur product theoremClosed-subgroup theoremEquivalenceRecursive definitionCoequalizerRelation algebraPentagonal number theoremClosed graph theoremTensor contractionConvolution theoremIsomorphismIsometryAdjoint functorsRepresentationKleene's recursion theoremPartial equivalence relationEquivalence of categoriesArtin reciprocity lawConjugacy classPolynomial expansionSchwarz reflection principleTransfinite inductionResolvent formalismNoether's second theoremDirichlet convolutionDual systemImageFormal derivativeMorita equivalenceRing homomorphismPrime number theoremGalois connectionSum of two squares theoremUniversal propertyMultinomial theoremSemidirect productQuotientRecurrence relationModular latticeRepresentation theoryOrthogonalityIncidence algebraDivisor functionReciprocal ruleSperner's lemmaFubini's theoremLinear extensionProkhorov's theoremCovering relationAxiom of extensionalityQuotient ruleCartan decompositionDual latticeGeometric transformationFredholm alternativeMatroidBiproductFrobenius methodHilbert's basis theoremEven and odd functionsLefschetz fixed-point theoremMeasurable functionFibrationRamanujan's master theoremTychonoff's theoremEuler's criterionDerivationCayley's theoremIntersection theoryDual spaceTensor product of hilbert spacesCompact convergenceGroup isomorphismAdjunction formulaTotally bounded spaceChain ruleMinimax theorem