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Yoneda functorYoneda lemmaEndofunctorMonoidal categoryRepresentable functorFunctor categoryOverfunctorMonadIdentity functorCocompletionOvercategoryUnderlying functorFaithful functorContravariant functorFull functorAdjunctionMorphism setFunctorFormationPseudofunctorAdjointDiagramUnitMonomorphismSmall categoryUniversal morphismProfunctorPrestackAdjoint functorCategorical dualProjectionGraphNatural isomorphismConstant morphismEquivalence of categoriesCartesian closed categoryGroup functorComma categorySurjectionEmbeddingEndobifunctorAdjunctGrothendieck topologyGlobal elementLeft inverseDiscrete categorySketchAnabelioidSiteFree categoryBimonoidalDirect systemDiagonal morphismInverse systemHom-setKan extensionElementary toposIdentity morphismInitial objectEpimorphismBicartesian closed categoryIntersectionOverconeCoendCoconstant morphismBifunctorMorphismCategoryRight inverseGoguen categoryPresheafMulticategoryDirect productSplit epimorphismIsogenyIsomorphismGroup objectKleisli categoryContravarianceInverseCocategoryCartesian natural transformationRelationSchemoidCofunctorInjectionZero morphismBijectionComonadLimitClassifying morphismNatural transformationTricategoryToposDirect limitFibrePregroupoidObjectBimorphismBicategory