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ContravarianceContravariant functorProfunctorBifunctorFunctorOverfunctorUnderlying functorPseudofunctorAnafunctorAdjointCounitAdjoint functorFunctor categoryCovariantInverse systemRepresentable functorCoaugmentationEndobifunctorContravariantPresheafContramoduleConcomitantAdjunctComonadComma categoryMonoidal categoryEndofunctorFull functorGroup functorCoinvariantUnitAnticommutatorOvercategoryMonadFrobenius covariantFaithful functorAdjunctionCoconeCovectorCubicovariantTraciatorInverseOverconeCofibrationForgetful functorReciprocantIdentity functorCofiberCanonizantPreradicalInverse limitVarianceBicommutantCohomologyCocharacterCocategoryProvectorYoneda functorBijectionCartesian squareCoconstant morphismCotranslationBimonadConnexEvectorCooperadColimitUniversal morphismHyperconifoldCoequalizerFixpointSemicovariantEquivalence of categoriesEvectantQuadricovariantCocompletionMonomorphismConstant morphismAntisetQuarticovariantDiagramCohomotopyFormationCokerMulticommutatorSemigroup homomorphismAnticommutationCoendComonoidZero tensorNatural transformationCombinatorComatrixHermitian conjugateTransfiniteInverse semigroupMicrosupportBicartesian closed categoryAntiunitaryCartesian natural transformation