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MonadComonoidBimonadAdjointCocategoryContramoduleCoendAdjunctComma categorySemigroupoidBimonoidBimonoidalContravarianceIntersectionComoduleAdjoint functorCategoryMonoidInverse systemCoslice categoryOverconeCategorical dualInverseCounitConstant morphismAnticommutationUnitSplit monomorphismMonomorphismProfunctorMonoidal categoryOppositeUniversal morphismDirect sumDirect systemCoconstant morphismCooperadCofunctorCoconeSectionOvercategoryOverfunctorGroupoidTerminal objectEquivalence of categoriesColimitBicategoryBicartesian closed categoryBicommutantAnabelioidCommutative algebraMulticategoryTomonoidDiscrete categoryMulticommutatorSmall categoryContravariant functorFunctor categoryAdjunctionMonodromyIsomorphismBifunctorUnderlying functorCartesian squareKleisli categoryEndobifunctorGroup objectSubgroupoidAbstract nonsenseContactomorphismCombinatorial commutative algebraComatrixCartesian closed categoryGroup functorTricategoryProperadPregroupoidObjectEndofunctorCommutantPseudomonoidPseudofunctorPreradicalAntidomainComassConcomitantComdagInitial objectRelationFree categoryDiagonal morphismAnticommutativityCoinversionSketchCohomotopyCopresheafConeFree monoidFormationDirect limit