hom 📖 | CompOp | 707 mathmath: CategoryTheory.Sheaf.cartesianMonoidalCategoryLift_val, CategoryTheory.Grp.mkIso_inv_hom, CategoryTheory.InducedCategory.homMk_hom, CategoryTheory.Grp.Hom.hom_div, CategoryTheory.Grp.comp', CategoryTheory.LeftExactFunctor.ofExact_map, CategoryTheory.InducedCategory.hom_ext_iff, CategoryTheory.Grp.mkIso_hom_hom, CategoryTheory.Grp.instIsIsoHomHomMon, CategoryTheory.Grp.homMk'_hom, CategoryTheory.GrothendieckTopology.yonedaOpCompCoyoneda_hom_app_app_down, TannakaDuality.FiniteGroup.toRightFDRepComp_in_rightRegular, CategoryTheory.CommMon.comp_hom, CategoryTheory.Functor.sheafAdjunctionCocontinuous_homEquiv_apply_hom, LinearMap.id_fgModuleCat_comp, CategoryTheory.eval_app, CategoryTheory.Grp.Hom.hom_hom_zpow, CategoryTheory.ExactFunctor.forget_map, DeltaGenerated.topToDeltaGenerated_map_hom_hom_apply, CategoryTheory.GrothendieckTopology.uliftYonedaIsoYoneda_inv_app_hom_app_down, CategoryTheory.Presheaf.coherentExtensiveEquivalence_inverse_map_hom, CategoryTheory.Functor.mapCommGrpCompIso_inv_app_hom_hom_hom, CategoryTheory.LeftExactFunctor.forget_map, CategoryTheory.Functor.mapCommMonNatIso_inv_app_hom_hom, FGModuleCat.hom_hom_id, CategoryTheory.Equivalence.sheafCongrPrecoherent_unitIso_inv_app_hom_app, HomotopicalAlgebra.weakEquivalence_iff_of_objectProperty, CategoryTheory.Equivalence.sheafCongr.unitIso_inv_app_hom_app, Condensed.hom_ext_iff, CategoryTheory.GrothendieckTopology.yonedaULiftEquiv_apply, CategoryTheory.GrothendieckTopology.yonedaEquiv_symm_app_apply, CategoryTheory.Functor.IsCoverDense.Types.sheafIso_inv_hom, CategoryTheory.ObjectProperty.FullSubcategory.comp_hom_assoc, CategoryTheory.InducedCategory.endEquiv_symm_apply_hom, CategoryTheory.Grp.id', CategoryTheory.InducedCategory.endEquiv_apply, AlgebraicGeometry.SheafedSpace.colimit_exists_rep, CategoryTheory.MonoOver.isIso_left_iff_subobjectMk_eq, CategoryTheory.CommMon.forget_map, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_invApp, CategoryTheory.Functor.FullyFaithful.mapGrp_preimage, CondensedSet.topCatAdjunctionUnit_hom_app_apply, CategoryTheory.InducedCategory.homLinearEquiv_apply, TwoP.hom_ext_iff, CategoryTheory.Functor.sheafPushforwardContinuous_map_hom_app, CategoryTheory.CommGrp.mkIso_inv_hom, LightCondSet.epi_iff_locallySurjective_on_lightProfinite, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_rightUnitor_hom_hom, AlgebraicGeometry.LocallyRingedSpace.homMk_toHom, CategoryTheory.sheafToPresheafCompYonedaCompWhiskeringLeftSheafToPresheaf_inv_app_app, CategoryTheory.Grp.whiskerLeft_hom_hom, CategoryTheory.LaxBraidedFunctor.isoOfComponents_inv_hom_hom_app, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_leftUnitor_inv_hom, CategoryTheory.Functor.mapGrpIdIso_hom_app_hom_hom, SheafOfModules.forgetToSheafModuleCat_map_hom, CategoryTheory.Functor.partialLeftAdjointHomEquiv_comp_symm_assoc, CondensedSet.hom_naturality_apply, CategoryTheory.typeEquiv_functor_map_hom_app, CategoryTheory.sheafificationNatIso_hom_app_hom, CompHausLike.LocallyConstantModule.functor_obj_obj_map_hom_apply_apply, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.counitIso_inv_app_app_hom_hom, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.invApp_app_apply, CategoryTheory.Grp.leftUnitor_hom_hom, AlgebraicGeometry.localRingHom_comp_stalkIso_apply, CategoryTheory.Functor.mapCommMonNatTrans_app_hom_hom, CategoryTheory.Functor.IsCoverDense.Types.sheafIso_hom_hom, CategoryTheory.GrothendieckTopology.overMapPullbackId_inv_app_hom_app, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpaceHom_hom_c, CategoryTheory.Functor.partialRightAdjointHomEquiv_symm_comp, CategoryTheory.CommComon.comp_hom, CategoryTheory.sheafToPresheafCompCoyonedaCompWhiskeringLeftSheafToPresheaf_inv_app_app, LinearMap.comp_id_fgModuleCat, CategoryTheory.CommGrp.id', CategoryTheory.constantCommuteCompose_hom_app_val, CategoryTheory.InducedCategory.homEquiv_apply, CategoryTheory.ObjectProperty.eqToHom_hom, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapComp_inv_toNatTrans_app_hom_app, TopCat.Sheaf.pushforward_map, CategoryTheory.CommGrp.comp', CochainComplex.Plus.mono_iff, CategoryTheory.Sheaf.adjunction_unit_app_hom, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_snd_hom, CategoryTheory.ObjectProperty.tensorHom_def, CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_hom_app_hom_hom_app, CategoryTheory.CommMon.mkIso'_inv_hom_hom, Profinite.NobelingProof.spanFunctorIsoIndexFunctor_hom_app_hom_hom_apply_coe, HomotopicalAlgebra.CofibrantObject.bifibrantResolutionMap_fac', CategoryTheory.LaxBraidedFunctor.comp_hom, AlgebraicGeometry.Scheme.Modules.toOpen_fromTildeΓ_app, CategoryTheory.Functor.sheafPushforwardContinuousNatTrans_app_hom, CategoryTheory.Grp.rightUnitor_hom_hom_hom, CategoryTheory.Sheaf.cartesianMonoidalCategoryLift_hom, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_app_eq, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_isTerminalTensorUnit_lift_hom, CategoryTheory.Grp.lift_hom, CategoryTheory.ObjectProperty.isoHom_inv_id_hom, lightDiagramToProfinite_map, Condensed.epi_iff_surjective_on_stonean, CategoryTheory.Functor.sheafPushforwardContinuousId'_hom_app_hom_app, CategoryTheory.CommGrp.comp_hom, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_inv_app', CategoryTheory.Grp.hom_mul, CategoryTheory.Functor.sheafAdjunctionCocontinuous_counit_app_val, CategoryTheory.LaxBraidedFunctor.isoOfComponents_hom_hom_app, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_fst_hom, CategoryTheory.RightExactFunctor.whiskeringLeft_map_app, CategoryTheory.MonoOver.mkArrowIso_hom_hom_left, CategoryTheory.GrothendieckTopology.overMapPullbackComp_hom_app_hom_app, TwoP.swapEquiv_functor_map_hom_toFun, CategoryTheory.GrothendieckTopology.overMapPullbackId_hom_app_hom_app, AlgebraicGeometry.SheafedSpace.comp_hom_c_app, CategoryTheory.LaxBraidedFunctor.forget_map, CategoryTheory.Adjunction.sheafPushforwardContinuous_unit_app_hom_app, lightProfiniteToLightDiagram_map, TopCat.Sheaf.id_app, CategoryTheory.Equivalence.sheafCongrPreregular_counitIso_hom_app_hom_app, Profinite.exists_locallyConstant_finite_aux, CategoryTheory.MonoOver.isIso_hom_left_iff_subobjectMk_eq, CategoryTheory.Grp.Hom.hom_zpow, CategoryTheory.RightExactFunctor.whiskeringRight_map_app, Condensed.id_hom, CategoryTheory.Functor.mapCommGrpCompIso_hom_app_hom_hom_hom, CategoryTheory.Grp.ofHom_hom_hom, HomotopicalAlgebra.FibrantObject.homRel_iff_leftHomotopyRel, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.unitIso_inv_app_hom_hom_app, CompHausLike.LocallyConstantModule.functorToPresheaves_map_app, AlgebraicGeometry.Scheme.Opens.germ_stalkIso_inv, CategoryTheory.AdditiveFunctor.ofLeftExact_map, CategoryTheory.RightExactFunctor.ofExact_map_hom, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict_assoc, CategoryTheory.LeftExactFunctor.whiskeringRight_map_app, FGModuleCat.hom_comp, CategoryTheory.MorphismProperty.FunctorsInverting.id_hom, CategoryTheory.Functor.sheafAdjunctionCocontinuous_unit_app_hom, CategoryTheory.Functor.IsCoverDense.sheafIso_hom_hom, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_associator_inv_hom, CategoryTheory.Functor.IsCoverDense.restrictHomEquivHom_naturality_right_symm, SimplexCategory.Truncated.Hom.tr_comp', CategoryTheory.Grp.associator_inv_hom_hom, CategoryTheory.Sheaf.imageι_hom, CategoryTheory.ObjectProperty.ι_map, LightCondensed.comp_hom, CompHausLike.homeoOfIso_symm_apply, CategoryTheory.LeftExactFunctor.whiskeringRight_obj_map, CategoryTheory.Functor.mapCommMonNatIso_hom_app_hom_hom, CategoryTheory.AdditiveFunctor.ofRightExact_map, CategoryTheory.Grp.Hom.hom_hom_div, CategoryTheory.AdditiveFunctor.ofExact_map, CategoryTheory.Grp.leftUnitor_hom_hom_hom, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict, FintypeCat.toProfinite_map_hom_hom_apply, CategoryTheory.CommGrp.instIsIsoMonHomGrp, CategoryTheory.Grp.forget_map, CategoryTheory.sheafBotEquivalence_inverse_map_hom, FGModuleCat.FGModuleCatEvaluation_apply, CategoryTheory.Grp.mkIso_hom_hom_hom, CategoryTheory.LeftExactFunctor.whiskeringLeft_map_app, FintypeCat.comp_hom, CategoryTheory.CommMon.instIsIsoHomHomMon, AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_open, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.sheafedSpace_toSheafedSpace, CategoryTheory.RightExactFunctor.forget_map, CategoryTheory.CommGrp.forget₂CommMon_map_hom, CategoryTheory.Abelian.Preradical.toColon_hom_left_app_colon_ι_app_assoc, UniformSpaceCat.extension_comp_coe, CategoryTheory.CommComon.forget₂Comon_map, CategoryTheory.Presheaf.coherentExtensiveEquivalence_unitIso_hom_app_hom_app, FintypeCat.incl_map, CategoryTheory.InducedCategory.comp_hom_assoc, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_str_comp_hom_app, CategoryTheory.Functor.IsCoverDense.sheafIso_inv_hom, NonemptyFinLinOrd.hom_hom_ofHom, CategoryTheory.plusPlusSheaf_map_hom, CategoryTheory.presheaf_mono_of_mono, CategoryTheory.Grp.rightUnitor_inv_hom_hom, CategoryTheory.Grp.forget₂Mon_map_hom, AlgebraicGeometry.SheafedSpace.comp_base, topCatToSheafCompHausLike_map_hom_app, SheafOfModules.restrictScalars_obj_val, AlgebraicGeometry.SheafedSpace.comp_c_app, FinPartOrd.hom_ofHom, CategoryTheory.Equivalence.sheafCongrPreregular_unitIso_hom_app_hom_app, AlgebraicGeometry.LocallyRingedSpace.coe_toΓSpecSheafedSpace_hom_base_hom_apply_asIdeal, AlgebraicGeometry.SheafedSpace.id_hom_c_app, CategoryTheory.Sheaf.cartesianMonoidalCategorySnd_hom, FinPartOrd.hom_hom_comp, CategoryTheory.InducedCategory.homEquiv_symm_apply_hom, NonemptyFinLinOrd.hom_comp, CategoryTheory.Grp.whiskerRight_hom_hom, CondensedMod.epi_iff_surjective_on_stonean, CategoryTheory.Equivalence.sheafCongrPrecoherent_counitIso_inv_app_hom_app, FGModuleCat.hom_id, AlgebraicGeometry.morphismRestrict_appLE, CategoryTheory.Sheaf.cartesianMonoidalCategorySnd_val, CategoryTheory.Sheaf.χ_hom, CategoryTheory.Functor.partialRightAdjointHomEquiv_map, lightProfiniteToLightCondSetIsoTopCatToLightCondSet_inv_app_hom_app_hom_hom, CategoryTheory.GrothendieckTopology.yonedaULiftEquiv_symm_naturality_right, CompHausLike.LocallyConstant.counit_app_hom_app, CategoryTheory.Functor.sheafAdjunctionCocontinuous_counit_app_hom, CategoryTheory.instMonoFunctorOppositeHomFullSubcategoryIsSheafOfHasWeakSheafifyOfSheaf, CategoryTheory.Grp.Hom.hom_hom_inv, CategoryTheory.ObjectProperty.FullSubcategory.comp_def, CondensedSet.epi_iff_surjective_on_stonean, CategoryTheory.LaxBraidedFunctor.isoOfComponents_hom_hom_hom_app, FinPartOrd.ofHom_hom_hom, CategoryTheory.Preadditive.commGrpEquivalenceAux_hom_app_hom_hom_hom, CompactlyGenerated.compactlyGeneratedToTop_map, CategoryTheory.Equivalence.sheafCongrPrecoherent_counitIso_hom_app_hom_app, LightCondensed.isColimitLocallyConstantPresheafDiagram_desc_apply, AlgebraicGeometry.Scheme.Opens.germ_stalkIso_inv_assoc, CategoryTheory.Functor.partialLeftAdjointHomEquiv_map, CategoryTheory.Sheaf.toImage_hom, CategoryTheory.GrothendieckTopology.Point.skyscraperSheafAdjunction_homEquiv_symm_apply, CategoryTheory.Functor.essImage.liftFunctorCompIso_hom_app, CategoryTheory.Sheaf.image_obj, CategoryTheory.equivYoneda'_hom_hom, CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided_map_hom_hom_app, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.unitIso_hom_app_hom_hom_app, CategoryTheory.Grp.snd_hom, CategoryTheory.Abelian.Preradical.toColon_hom_left_colonπ_assoc, CategoryTheory.Functor.toEssImage_map_hom, TopCat.Presheaf.app_surjective_of_injective_of_locally_surjective, CategoryTheory.Functor.mapCommMonFunctor_map_app, CategoryTheory.Functor.mapContAction_map, CategoryTheory.typeEquiv_counitIso_hom_app_hom_app, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.image_preimage_is_empty, FDRep.hom_hom_action_ρ, HomotopicalAlgebra.CofibrantObject.bifibrantResolutionMap_fac, AlgebraicGeometry.Proj.sheafedSpaceMap_hom_base_hom_apply_asHomogeneousIdeal_carrier, CategoryTheory.ExactFunctor.whiskeringLeft_map_app, CategoryTheory.Equivalence.sheafCongr.unitIso_hom_app_hom_app, CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.inverse_map_app, CategoryTheory.Sheaf.cartesianMonoidalCategoryWhiskerLeft_hom, SSet.Truncated.spine_map_vertex, CategoryTheory.Functor.sheafPushforwardContinuousId_hom_app_hom_app, CategoryTheory.Sheaf.Hom.mono_iff_presheaf_mono, TwoP.swapEquiv_unitIso_hom_app_hom_toFun, CategoryTheory.Grp.whiskerLeft_hom, Condensed.isColimitLocallyConstantPresheaf_desc_apply, CategoryTheory.Pseudofunctor.ObjectProperty.map_map_hom, CompHausLike.LocallyConstant.functorToPresheaves_map_app, FGModuleCat.FGModuleCatCoevaluation_apply_one, TwoP.swap_map, CategoryTheory.LeftExactFunctor.ofExact_map_hom, CategoryTheory.LaxBraidedFunctor.comp_hom_assoc, AlgebraicGeometry.SheafedSpace.ofRestrict_hom_c_app, TopCat.Presheaf.stalk_mono_of_mono, AlgebraicGeometry.Scheme.Opens.germ_stalkIso_hom, CategoryTheory.Functor.mapGrpNatIso_hom_app_hom_hom, TopCat.Presheaf.app_surjective_of_stalkFunctor_map_bijective, pointedToTwoPFst_map_hom_toFun, CompHausLike.LocallyConstant.functor_map_hom, CategoryTheory.Functor.mapGrpFunctor_map_app, CategoryTheory.Functor.mapCommMonCompIso_inv_app_hom_hom, CategoryTheory.GrothendieckTopology.map_yonedaEquiv', AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpaceHom_base, Sequential.sequentialToTop_map, CategoryTheory.Functor.mapCommMonIdIso_hom_app_hom_hom, CategoryTheory.Grp.leftUnitor_inv_hom_hom, CategoryTheory.Functor.IsDenseSubsite.sheafifyHomEquivOfIsEquivalence_naturality_right, CategoryTheory.InducedCategory.comp_hom, AlgebraicGeometry.SheafedSpace.id_hom_base, DeltaGenerated.deltaGeneratedToTop_map, CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor_map_hom_app, CategoryTheory.ExactFunctor.whiskeringLeft_obj_map, Condensed.comp_val, CategoryTheory.Functor.mapCommGrpNatIso_inv_app_hom_hom_hom, AlgebraicGeometry.Scheme.Modules.toOpen_fromTildeΓ_app_assoc, CondensedMod.hom_naturality_apply, FintypeCat.toLightProfinite_map_hom_hom_apply, AlgebraicGeometry.Spec.toPresheafedSpace_map_op, CategoryTheory.GrothendieckTopology.Point.skyscraperSheafFunctor_map_hom, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_inv_app'_assoc, CategoryTheory.subterminalsEquivMonoOverTerminal_inverse_map, CategoryTheory.Grp.rightUnitor_inv_hom, TopCat.Presheaf.app_bijective_of_stalkFunctor_map_bijective, TwoP.swapEquiv_counitIso_inv_app_hom_toFun, Condensed.epi_iff_locallySurjective_on_compHaus, AlgebraicGeometry.stalkMap_toStalk, CategoryTheory.InducedCategory.homAddEquiv_symm_apply_hom, CategoryTheory.Sheaf.adjunction_counit_app_val, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapId_hom_toNatTrans_app_hom_app, LightCondensed.isLocallySurjective_iff_locallySurjective_on_lightProfinite, CategoryTheory.GrothendieckTopology.yonedaEquiv_comp, LightCondensed.forget_map_hom_app, CategoryTheory.MonoOver.w, CategoryTheory.MorphismProperty.FunctorsInverting.comp_hom_assoc, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor_obj_map_hom_hom, CategoryTheory.Sheaf.ΓObjEquivSections_naturality_symm, CategoryTheory.CommGrp.hom_ext_iff, CategoryTheory.Sheaf.isLocallyInjective_iff_injective, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.counitIso_hom_app_app_hom_hom, CategoryTheory.Grp.Hom.hom_pow, CategoryTheory.Grp.associator_hom_hom_hom, NonemptyFinLinOrd.hom_ext_iff, TopCat.Sheaf.comp_app, CategoryTheory.Abelian.Preradical.toColon_hom_left_colonπ, AlgebraicGeometry.SheafedSpace.Γ_map, CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_symm_app_apply, CategoryTheory.CommMon.mkIso_inv_hom_hom, TopCat.Sheaf.IsFlasque.epi_of_shortExact, CategoryTheory.Grp.braiding_inv_hom, CategoryTheory.SubobjectRepresentableBy.iso_inv_left_π_assoc, CategoryTheory.Grp.mkIso'_hom_hom_hom, CategoryTheory.CommComon.hom_ext_iff, FinPartOrd.dual_map, CategoryTheory.Grp.id_hom, CategoryTheory.Functor.mapGrpCompIso_hom_app_hom_hom, AlgebraicGeometry.Spec.sheafedSpaceMap_hom_c_app, CategoryTheory.Equivalence.sheafCongrPreregular_inverse_map_hom_app, CategoryTheory.Grp.fst_hom, CategoryTheory.Presheaf.coherentExtensiveEquivalence_functor_map_hom, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_hom_hom_c_app, CompHausLike.LocallyConstantModule.functorToPresheaves_obj_map, CategoryTheory.CommGrp.mkIso_inv_hom_hom_hom, CategoryTheory.CommGrp.mkIso'_inv_hom_hom_hom, AlgebraicGeometry.SheafedSpace.fullyFaithfulForgetToPresheafedSpace_preimage_hom, CompHausLike.LocallyConstant.adjunction_left_triangle, CategoryTheory.extensiveTopology.isLocallySurjective_iff, AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_stalk_isLocalHom, TopCat.Sheaf.sections_exact_of_left_exact, CategoryTheory.Sheaf.truth_hom, CategoryTheory.Functor.IsCoverDense.restrictHomEquivHom_naturality_right_assoc, AlgebraicGeometry.AffineScheme.forgetToScheme_map, SheafOfModules.restrictScalars_map_val, CategoryTheory.LaxBraidedFunctor.homMk_hom_hom, CategoryTheory.sheafificationNatIso_inv_app_hom, NonemptyFinLinOrd.ofHom_hom, AlgebraicGeometry.Scheme.LocalRepresentability.yoneda_toGlued_yonedaGluedToSheaf_assoc, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpaceHom_hom_base, CategoryTheory.InducedCategory.homAddEquiv_apply, CategoryTheory.Functor.partialLeftAdjointHomEquiv_map_comp, CategoryTheory.GrothendieckTopology.overMapPullbackComp_inv_app_hom_app, CategoryTheory.typeEquiv_counitIso_inv_app_hom_app, CategoryTheory.typeEquiv_inverse_map, AlgebraicGeometry.SheafedSpace.GlueData.ι_isoPresheafedSpace_inv, CategoryTheory.AdditiveFunctor.forget_map, SheafOfModules.pushforward_map_val, AlgebraicGeometry.Spec.locallyRingedSpaceMap_toHom, CategoryTheory.sheafToPresheafCompYonedaCompWhiskeringLeftSheafToPresheaf_hom_app_app_hom, CategoryTheory.Sheaf.cartesianMonoidalCategoryFst_hom, CategoryTheory.Abelian.Preradical.isIso_toColon_hom_left_app_iff, AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_app_isLocalHom, CpltSepUniformSpace.hom_comp, LightCondSet.topCatAdjunctionUnit_hom_app_apply, FGModuleCat.Iso.conj_eq_conj, CategoryTheory.ObjectProperty.FullSubcategory.id_def, CategoryTheory.Equivalence.sheafCongrPreregular_functor_map_hom_app, CategoryTheory.Sheaf.adjunction_unit_app_val, CategoryTheory.ObjectProperty.ihom_map, SimplexCategory.Truncated.Hom.ext_iff, NonemptyFinLinOrd.hom_hom_id, CategoryTheory.fromSkeleton_map, CategoryTheory.RightExactFunctor.ofExact_map, CategoryTheory.Functor.mapCommMon_map_hom_hom, CategoryTheory.ObjectProperty.isoHom_inv_id_hom_assoc, CategoryTheory.Functor.FullyFaithful.mapCommMon_preimage, CategoryTheory.Equivalence.sheafCongrPreregular_counitIso_inv_app_hom_app, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse_map_hom_hom_app, NonemptyFinLinOrd.dual_map, FGModuleCat.hom_hom_comp, LightCondensed.hom_ext_iff, CategoryTheory.sheafificationIso_inv_hom, CategoryTheory.Preadditive.commGrpEquivalenceAux_inv_app_hom_hom_hom, CategoryTheory.Functor.mapGrp_map_hom_hom, HomotopicalAlgebra.CofibrantObject.bifibrantResolutionMap_fac_assoc, CategoryTheory.MonoOver.isIso_iff_isIso_hom_left, CategoryTheory.CommGrp.forget₂Grp_map_hom, CategoryTheory.GrothendieckTopology.uliftYonedaIsoYoneda_hom_app_hom_app, HomotopicalAlgebra.BifibrantObject.homRel_iff_leftHomotopyRel, CategoryTheory.Grp.comp_hom_hom, CategoryTheory.ObjectProperty.whiskerLeft_def, CategoryTheory.Functor.toSheafify_pullbackSheafificationCompatibility, CategoryTheory.Sheaf.ΓHomEquiv_naturality_right_symm, AlgebraicGeometry.SheafedSpace.comp_hom_c_app', FGModuleCat.hom_ext_iff, CategoryTheory.Grp.braiding_inv_hom_hom, CategoryTheory.Functor.mapCommGrpIdIso_hom_app_hom_hom_hom, CategoryTheory.LaxBraidedFunctor.isoOfComponents_inv_hom_app, HomotopicalAlgebra.CofibrantObject.HoCat.adjCounitIso_inv_app, FintypeCat.comp_hom_assoc, CategoryTheory.CommGrp.mkIso_hom_hom, AlgebraicGeometry.Proj.germ_map_sectionInBasicOpen, LightCondSet.hom_naturality_apply, CategoryTheory.GrothendieckTopology.map_uliftYonedaEquiv', AlgebraicGeometry.Scheme.LocalRepresentability.yoneda_toGlued_yonedaGluedToSheaf, CategoryTheory.Sheaf.cartesianMonoidalCategoryWhiskerRight_val, AlgebraicGeometry.SheafedSpace.comp_hom_base, PresheafOfModules.sheafifyMap_val, Profinite.exists_locallyConstant, CategoryTheory.ObjectProperty.whiskerRight_def, AlgebraicGeometry.stalkMap_toStalk_apply, CategoryTheory.ExactFunctor.whiskeringRight_map_app, CategoryTheory.Grp.Hom.hom_mul, CategoryTheory.Equivalence.sheafCongr.counitIso_inv_app_hom_app, AlgebraicGeometry.LocallyRingedSpace.homOfSheafedSpaceHomOfIsIso_toHom, CategoryTheory.subterminalsEquivMonoOverTerminal_functor_map, TopCat.Sheaf.IsFlasque.structured_arrows_elements_sheaf_chains_bounded, FintypeCat.hom_apply, CategoryTheory.Grp.rightUnitor_hom_hom, CategoryTheory.Preadditive.commGrpEquivalence_counitIso_inv_app_hom_hom_hom, CategoryTheory.Grp.hom_ext_iff, CategoryTheory.sheafCompose_map_hom, CategoryTheory.InducedCategory.id_hom, CategoryTheory.MonoOver.inf_map_app, CategoryTheory.Abelian.Preradical.toColon_hom_left_app_colonπ_app_assoc, CategoryTheory.Grp.homMk''_hom_hom, CategoryTheory.sheafificationIso_hom_hom, CategoryTheory.MonoOver.mkArrowIso_inv_hom_left, CategoryTheory.instIsIsoFunctorOppositeHomFullSubcategoryIsSheafAppSheafCounitSheafificationAdjunction, LightCondMod.hom_naturality_apply, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_leftUnitor_hom_hom, CategoryTheory.GrothendieckTopology.map_yonedaULiftEquiv', SheafOfModules.unitToPushforwardObjUnit_val_app_apply, CategoryTheory.CommMon.id_hom, CompHausLike.homeoOfIso_apply, CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_apply, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_invApp_assoc, CategoryTheory.Functor.essImage.liftFunctorCompIso_inv_app, lightProfiniteToLightCondSetIsoTopCatToLightCondSet_hom_app_hom_app_apply, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.stalk_iso, CategoryTheory.MonoOver.w_assoc, CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyoneda_hom_app_app_down, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.invApp_app, ext_iff, CategoryTheory.Functor.FullyFaithful.mapCommGrp_preimage, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse_obj_X_map, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict_assoc, AlgebraicGeometry.Scheme.Opens.germ_stalkIso_hom_assoc, CategoryTheory.CommGrp.instIsIsoGrpHom, AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace_map, CategoryTheory.Skeleton.comp_hom, CategoryTheory.Functor.mapGrpIdIso_inv_app_hom_hom, AlgebraicGeometry.SheafedSpace.id_hom, CategoryTheory.MonoOver.lift_map_hom, LightDiagram.id_hom_hom_hom_apply, CategoryTheory.toSkeletonFunctor_map_hom, CategoryTheory.Functor.IsDenseSubsite.sheafifyHomEquivOfIsEquivalence_naturality_right_assoc, CategoryTheory.CommGrp.mkIso_hom_hom_hom_hom, CategoryTheory.CommMon.homMk_hom, TwoP.swapEquiv_inverse_map_hom_toFun, AlgebraicGeometry.Proj.sheafedSpaceMap_hom_c_app_hom_apply_coe, CategoryTheory.Grp.leftUnitor_inv_hom, CompHausLike.compHausLikeToTop_map, CategoryTheory.CommGrp.id_hom, LightCondMod.epi_iff_locallySurjective_on_lightProfinite, CategoryTheory.CommMon.mkIso_hom_hom_hom, LightCondensed.ihom_map_val_app, AlgebraicGeometry.SheafedSpace.id_hom_c, AlgebraicGeometry.SheafedSpace.id_c_app, TopCat.Presheaf.app_isIso_of_stalkFunctor_map_iso, CategoryTheory.GrothendieckTopology.overMapPullbackCongr_inv_app_hom_app, CompHausLike.toCompHausLike_map, Condensed.isColimitLocallyConstantPresheafDiagram_desc_apply, FinPartOrd.hom_id, SheafOfModules.toSheaf_map_hom, CategoryTheory.MorphismProperty.FunctorsInverting.comp_hom, CategoryTheory.ObjectProperty.ιOfLE_map, CategoryTheory.subterminalsEquivMonoOverTerminal_unitIso, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_associator_hom_hom, CategoryTheory.CommComon.id_hom, CategoryTheory.CommMon.hom_ext_iff, CategoryTheory.Functor.mapCommGrpFunctor_map, CategoryTheory.Grp.mkIso_inv_hom_hom, CategoryTheory.Grp.snd_hom_hom, CondensedMod.epi_iff_locallySurjective_on_compHaus, CategoryTheory.Functor.mapGrpNatTrans_app_hom_hom, CategoryTheory.Equivalence.sheafCongrPreregular_unitIso_inv_app_hom_app, CategoryTheory.Grp.hom_one, CategoryTheory.Preadditive.commGrpEquivalence_counitIso_hom_app_hom_hom_hom, NonemptyFinLinOrd.hom_hom_comp, CategoryTheory.Functor.mapCommGrpIdIso_inv_app_hom_hom_hom, CategoryTheory.Abelian.Preradical.toColon_hom_left_app_colon_ι_app, CategoryTheory.yonedaCommGrpGrp_map_app, CategoryTheory.Functor.sheafPushforwardContinuousComp_inv_app_hom_app, CategoryTheory.Functor.partialRightAdjointHomEquiv_symm_comp_assoc, CategoryTheory.ObjectProperty.zero_hom, TopCat.toSheafCompHausLike_obj_map, CategoryTheory.Sheaf.cartesianMonoidalCategoryFst_val, CategoryTheory.Sheaf.ΓHomEquiv_naturality_right, CategoryTheory.MonoOver.commSqOfHasStrongEpiMonoFactorisation, CategoryTheory.Equivalence.sheafCongr.functor_map_hom_app, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict, CategoryTheory.GrothendieckTopology.map_uliftYonedaEquiv, CategoryTheory.Presheaf.coherentExtensiveEquivalence_unitIso_inv_app_hom_app, CategoryTheory.Grp.associator_inv_hom, TopCat.Sheaf.eq_app_of_locally_eq, CategoryTheory.subterminalsEquivMonoOverTerminal_counitIso, CategoryTheory.Equivalence.sheafCongrPrecoherent_functor_map_hom_app, AlgebraicGeometry.Spec.sheafedSpaceMap_hom_base, CategoryTheory.Grp.homMk_hom_hom, CategoryTheory.Equivalence.sheafCongrPrecoherent_inverse_map_hom_app, lightDiagramToLightProfinite_map, CategoryTheory.InducedCategory.eqToHom_hom, AlgebraicGeometry.StructureSheaf.toPushforwardStalk_comp, AlgebraicGeometry.SheafedSpace.ofRestrict_hom_base, CategoryTheory.ObjectProperty.FullSubcategory.comp_hom, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpaceHom_c, AlgebraicGeometry.StructureSheaf.toPushforwardStalk_comp_assoc, CategoryTheory.sheafificationAdjunction_counit_app_val, CategoryTheory.Functor.mapGrpNatIso_inv_app_hom_hom, CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_inv_app_hom_hom_app, CategoryTheory.GrothendieckTopology.yonedaULiftEquiv_comp, CategoryTheory.GrothendieckTopology.Point.skyscraperSheafAdjunction_homEquiv_apply_val, AlgebraicGeometry.Scheme.LocalRepresentability.yonedaGluedToSheaf_app_comp, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict_assoc, CompHausLike.isoOfHomeo_inv_hom_hom_apply, LightCondensed.isColimitLocallyConstantPresheaf_desc_apply, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_whiskerRight_hom, CategoryTheory.Functor.mapGrpCompIso_inv_app_hom_hom, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_str_id_hom_app, CategoryTheory.Grp.Hom.hom_inv, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.sigma_ι_isOpenEmbedding, CategoryTheory.Functor.mapCommGrpNatIso_hom_app_hom_hom_hom, AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_preimage, FGModuleCat.FGModuleCatEvaluation_apply', AlgebraicGeometry.SheafedSpace.id_c, CategoryTheory.GrothendieckTopology.overMapPullbackCongr_hom_app_hom_app, LightDiagram.comp_hom_hom_hom_apply, CategoryTheory.GrothendieckTopology.yonedaULiftEquiv_symm_app_apply, LightCondSet.topCatAdjunctionUnit_hom_app, AlgebraicGeometry.Spec.toPresheafedSpace_map, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapComp_hom_toNatTrans_app_hom_app, FinBoolAlg.hasForgetToFinPartOrd_forget₂_map, pointedToTwoPSnd_map_hom_toFun, CategoryTheory.Sheaf.sheafifyCocone_ι_app_val_assoc, TwoP.swapEquiv_counitIso_hom_app_hom_toFun, CategoryTheory.Sheaf.Hom.add_app, CategoryTheory.inducedFunctor_map, CategoryTheory.Grp.braiding_hom_hom, CategoryTheory.Functor.mapCommGrp_map_hom_hom_hom, AlgebraicGeometry.tilde.toOpen_map_app_assoc, CategoryTheory.constantCommuteCompose_hom_app_hom, AlgebraicGeometry.Scheme.Opens.ι_appLE, AlgebraicGeometry.SheafedSpace.isOpenImmersion_iff_hom, CategoryTheory.Sheaf.adjunction_counit_app_hom, LightCondensed.id_val, CategoryTheory.sheafToPresheafCompCoyonedaCompWhiskeringLeftSheafToPresheaf_hom_app_app_hom, AlgebraicGeometry.SheafedSpace.id_base, CompHausLike.LocallyConstant.incl_comap, CategoryTheory.ObjectProperty.hom_ext_iff, CategoryTheory.Sheaf.hom_ext_iff, AlgebraicGeometry.SheafedSpace.congr_hom_app, CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_symm_naturality_right, CategoryTheory.Grp.associator_hom_hom, Condensed.comp_hom, CategoryTheory.Functor.sheafPushforwardContinuousComp'_inv_app_hom_app, CategoryTheory.Preadditive.commGrpEquivalence_inverse_map, CategoryTheory.Functor.sheafPushforwardContinuousId'_inv_app_hom_app, CategoryTheory.GrothendieckTopology.yoneda_map_hom, CategoryTheory.SubobjectRepresentableBy.iso_inv_hom_left_comp, CategoryTheory.Functor.mapCommGrpNatTrans_app_hom_hom_hom, AlgebraicGeometry.Proj.localRingHom_comp_stalkIso_apply, SimplexCategory.skeletalFunctor.coe_map, CategoryTheory.Functor.mapCommMonIdIso_inv_app_hom_hom, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_tensorProductIsBinaryProduct_lift_hom, CategoryTheory.RightExactFunctor.whiskeringLeft_obj_map, AlgebraicGeometry.SheafedSpace.is_presheafedSpace_iso, CondensedSet.toTopCatMap_hom_apply, CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_inv_app_hom_hom, CategoryTheory.Functor.IsCoverDense.restrictHomEquivHom_naturality_right_symm_assoc, LightCondensed.comp_val, LightCondensed.id_hom, CategoryTheory.LaxBraidedFunctor.id_hom, CategoryTheory.Equivalence.sheafCongrPrecoherent_unitIso_hom_app_hom_app, TannakaDuality.FiniteGroup.map_mul_toRightFDRepComp, CategoryTheory.AdditiveFunctor.ofExact_map_hom, TopCat.Presheaf.generateEquivalenceOpensLe_functor'_map, CategoryTheory.LaxBraidedFunctor.hom_ext_iff, CompHausLike.isoOfHomeo_hom_hom_hom_apply, CategoryTheory.yonedaGrp_map_app, AlgebraicGeometry.LocallyRingedSpace.toStalk_stalkMap_toΓSpec, LightCondensed.underlying_map, CategoryTheory.subterminalInclusion_map, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_app_spec, Condensed.underlying_map, CategoryTheory.Adjunction.sheafPushforwardContinuous_counit_app_hom_app, CategoryTheory.CommGrp.mkIso'_hom_hom_hom_hom, FinPartOrd.hom_comp, CategoryTheory.Grp.whiskerRight_hom, CategoryTheory.GrothendieckTopology.map_yonedaEquiv, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_whiskerLeft_hom, CategoryTheory.coherentTopology.isLocallySurjective_iff, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_app_spec_assoc, AlgebraicGeometry.SheafedSpace.congr_app, CategoryTheory.Sheaf.ΓObjEquivSections_naturality, HomotopicalAlgebra.BifibrantObject.HoCat.ιCofibrantObject_map_toHoCat_map, CategoryTheory.Grp.tensorHom_hom, LightCondSet.toTopCatMap_hom_apply, HomotopicalAlgebra.BifibrantObject.homRel_iff_rightHomotopyRel, CondensedSet.epi_iff_locallySurjective_on_compHaus, AlgebraicGeometry.SheafedSpace.instEpiTopCatBaseHomPresheafedSpaceπ, CategoryTheory.Functor.sheafPushforwardContinuousComp'_hom_app_hom_app, AlgebraicGeometry.LocallyRingedSpace.isLocalHom_stalkMap_congr, TopCat.Presheaf.isIso_iff_stalkFunctor_map_iso, CategoryTheory.GrothendieckTopology.uliftYoneda_map_hom_app_down, Profinite.exists_locallyConstant_finite_nonempty, CategoryTheory.CommMon.mkIso'_hom_hom_hom, CategoryTheory.Grp.Hom.hom_one, CategoryTheory.Functor.partialLeftAdjointHomEquiv_comp_symm, CategoryTheory.ExactFunctor.whiskeringRight_obj_map, CategoryTheory.Functor.essImage.liftFunctor_map, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_hom_c_app, CategoryTheory.Functor.sheafAdjunctionCocontinuous_homEquiv_apply_val, CondensedSet.topCatAdjunctionUnit_hom_app, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.invApp_app_assoc, CategoryTheory.ObjectProperty.isoInv_hom_id_hom_assoc, CategoryTheory.Presheaf.coherentExtensiveEquivalence_counitIso_inv_app_hom_app, HomotopicalAlgebra.CofibrantObject.instWeakEquivalenceHomFullSubcategoryCofibrantObjectsIBifibrantResolutionObj, CategoryTheory.Grp.fst_hom_hom, TopCat.Sheaf.isLocallySurjective_iff_epi, CategoryTheory.LeftExactFunctor.whiskeringLeft_obj_map, FinBoolAlg.dual_map, AlgebraicGeometry.SheafedSpace.isColimit_exists_rep, SimplexCategory.Truncated.Hom.tr_comp'_assoc, CategoryTheory.Functor.EssImageSubcategory.lift_def, FGModuleCat.Iso.conj_hom_eq_conj, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.inv_invApp, CategoryTheory.Grp.mkIso'_inv_hom_hom, CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_hom_app_hom_hom, UniformSpaceCat.extension_comp_hom, CategoryTheory.InducedCategory.homLinearEquiv_symm_apply_hom, Profinite.exists_locallyConstant_fin_two, CategoryTheory.Sheaf.cartesianMonoidalCategoryWhiskerLeft_val, CategoryTheory.Sheaf.ΓRes_naturality, CategoryTheory.Presheaf.coherentExtensiveEquivalence_counitIso_hom_app_hom_app, CategoryTheory.AdditiveFunctor.ofLeftExact_map_hom, CategoryTheory.ObjectProperty.homMk_hom, CategoryTheory.Functor.sheafPushforwardContinuousComp_hom_app_hom_app, TopCat.Presheaf.generateEquivalenceOpensLe_inverse'_map, AlgebraicGeometry.localRingHom_comp_stalkIso, CategoryTheory.Preadditive.commGrpEquivalence_functor_map_hom_hom_hom, HomotopicalAlgebra.CofibrantObject.HoCat.adjCounit'_app, AlgebraicGeometry.Proj.localRingHom_comp_stalkIso, CategoryTheory.Sheaf.sheafifyCocone_ι_app_val, CategoryTheory.Functor.pushforwardContinuousSheafificationCompatibility_hom_app_val, CategoryTheory.equivYoneda'_inv_hom, ContAction.res_map, CategoryTheory.Functor.IsCoverDense.restrictHomEquivHom_naturality_right, Condensed.id_val, TopCat.Presheaf.mono_iff_stalk_mono, CategoryTheory.Grp.braiding_hom_hom_hom, FDRep.hom_action_ρ, CategoryTheory.SubobjectRepresentableBy.iso_inv_left_π, CategoryTheory.GrothendieckTopology.map_yonedaULiftEquiv, FinPartOrd.ofHom_hom, CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyoneda_inv_app_app_hom_app, FinPartOrd.hom_hom_id, CategoryTheory.Functor.sheafPushforwardContinuousId_inv_app_hom_app, CategoryTheory.Functor.sheafAdjunctionCocontinuous_unit_app_val, CompHausLike.LocallyConstantModule.functor_map_hom_app_hom_apply_apply, SheafOfModules.pushforward_obj_val, AlgebraicGeometry.Scheme.LocalRepresentability.yonedaGluedToSheaf_app_toGlued, CategoryTheory.GrothendieckTopology.Point.skyscraperSheafAdjunction_homEquiv_apply_hom, CategoryTheory.CommMon.forget₂Mon_map_hom, CategoryTheory.Functor.mapCochainComplexPlus_map_hom_f, CategoryTheory.Skeleton.comp_hom_assoc, CompHausLike.LocallyConstant.functorToPresheaves_obj_map, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_tensorHom_hom, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_map_toFunctor_map_hom_app, HomotopicalAlgebra.CofibrantObject.instCofibrationHomFullSubcategoryCofibrantObjectsIBifibrantResolutionObj, CategoryTheory.ObjectProperty.ihom_map_hom, CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_comp, CategoryTheory.Pseudofunctor.ObjectProperty.map₂_app_hom, CategoryTheory.ObjectProperty.isoInv_hom_id_hom, CategoryTheory.Functor.partialRightAdjointHomEquiv_map_comp, CategoryTheory.ObjectProperty.FullSubcategory.id_hom, CategoryTheory.Functor.pushforwardContinuousSheafificationCompatibility_hom_app_hom, HomotopicalAlgebra.instWeakEquivalenceHomFullSubcategory, CategoryTheory.GrothendieckTopology.yonedaEquiv_apply, CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor_map_app_hom_hom, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict_assoc, CategoryTheory.Grp.comp_hom, FinPartOrd.hom_hom_ofHom, CategoryTheory.Grp.id_hom_hom, CategoryTheory.AdditiveFunctor.ofRightExact_map_hom, CategoryTheory.Abelian.Preradical.toColon_hom_left_app_colonπ_app, HomotopicalAlgebra.CofibrantObject.homRel_iff_rightHomotopyRel, CategoryTheory.yoneda'_map_hom, CategoryTheory.shrinkYonedaGrp_map_app_shrinkYonedaObjObjEquiv_symm, CategoryTheory.Equivalence.sheafCongr.inverse_map_hom_app, CategoryTheory.GrothendieckTopology.yonedaEquiv_symm_naturality_right, AlgebraicGeometry.SheafedSpace.Γ_map_op, AlgebraicGeometry.SheafedSpace.GlueData.ι_jointly_surjective, NonemptyFinLinOrd.hom_id, CategoryTheory.SubobjectRepresentableBy.iso_inv_hom_left_comp_assoc, HomotopicalAlgebra.CofibrantObject.bifibrantResolutionMap_fac'_assoc, NonemptyFinLinOrd.hom_ofHom, TwoP.swapEquiv_unitIso_inv_app_hom_toFun, CategoryTheory.RightExactFunctor.whiskeringRight_obj_map, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapId_inv_toNatTrans_app_hom_app, AlgebraicGeometry.SheafedSpace.comp_c_app', AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict, CategoryTheory.Sheaf.cartesianMonoidalCategoryWhiskerRight_hom, CategoryTheory.MonoOver.isIso_iff_isIso_left, CategoryTheory.CommGrp.forget_map, FinPartOrd.hom_ext_iff, HomotopicalAlgebra.BifibrantObject.HoCat.ιFibrantObject_map_toHoCat_map, CategoryTheory.Sheaf.isTerminalTerminal_from_hom, CategoryTheory.CartesianMonoidalCategory.fullSubcategory_rightUnitor_inv_hom, CategoryTheory.MonoOver.instIsIsoLeftDiscretePUnitHomFullSubcategoryOverIsMono, CategoryTheory.Functor.mapCommMonCompIso_hom_app_hom_hom, CategoryTheory.Equivalence.sheafCongr.counitIso_hom_app_hom_app, CategoryTheory.MorphismProperty.FunctorsInverting.hom_ext_iff, AlgebraicGeometry.tilde.toOpen_map_app
|