unop 📖 | CompOp | 1433 mathmath: CategoryTheory.Comon.tensorObj_comul', CategoryTheory.LocalizerMorphism.LeftResolution.opFunctor_map_f, AlgebraicGeometry.Scheme.Opens.ι_image_basicOpen, CategoryTheory.Limits.pushoutIsoOpPullback_inr_hom_assoc, CategoryTheory.GrothendieckTopology.overMapPullbackId_hom_app_val_app, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_inv_app_eq, SimplicialObject.Splitting.cofan_inj_πSummand_eq_id_assoc, CategoryTheory.Functor.functorHomEquiv_apply_app, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence.functor_obj_hom_right, CategoryTheory.Functor.FullyFaithful.homNatIsoMaxRight_inv_app, CategoryTheory.Adjunction.compUliftCoyonedaIso_hom_app_app_down, CategoryTheory.uliftCoyonedaEquiv_apply, AddCommGrpCat.coyoneda_obj_obj_coe, CategoryTheory.Equivalence.leftOp_unitIso_hom_app, CategoryTheory.Equivalence.sheafCongrPrecoherent_counitIso_hom_app_val_app, HomologicalComplex.evalCompCoyonedaCorepresentableByDoubleId_homEquiv_apply, CategoryTheory.Functor.natTransEquiv_apply_app, CategoryTheory.uliftCoyonedaIsoCoyoneda_hom_app_app, AlgebraicGeometry.Scheme.Modules.pseudofunctor_map_adj, CategoryTheory.Functor.leibnizPullback_obj_map, CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfOppositeRightAction_actionRight_unop, CategoryTheory.kernelUnopOp_inv, CategoryTheory.Pretriangulated.shiftFunctorCompIsoId_op_hom_app, CategoryTheory.Pretriangulated.shift_opShiftFunctorEquivalence_counitIso_inv_app, CategoryTheory.Equivalence.sheafCongr.counitIso_hom_app_val_app, AlgebraicGeometry.Spec.toPresheafedSpace_obj, CategoryTheory.GrothendieckTopology.liftToDiagramLimitObjAux_fac, LightProfinite.proj_comp_transitionMap, TopologicalSpace.Opens.map_id_obj_unop, AddCommMonCat.coyoneda_obj_obj_coe, SSet.stdSimplex.coe_triangle_down_toOrderHom, CategoryTheory.ShortComplex.HomologyData.ofIso_right_p, CategoryTheory.Limits.limitUnopIsoUnopColimit_hom_comp_ι, TopCat.presheafToType_map, CategoryTheory.Functor.leftOpRightOpEquiv_functor_obj_map, CategoryTheory.linearCoyoneda_map_app, CategoryTheory.linearCoyoneda_obj_obj_carrier, AlgebraicGeometry.ProjectiveSpectrum.Proj.awayToSection_apply, CategoryTheory.NatTrans.ofOpSequence_app, CategoryTheory.Limits.pullbackIsoUnopPushout_inv_snd, CategoryTheory.nerve.σ_obj, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_add_unitIso_hom_app_eq, AlgebraicGeometry.ΓSpec.locallyRingedSpaceAdjunction_counit_app, Bicategory.Opposite.op2_unop2, CategoryTheory.Limits.coconeEquivalenceOpConeOp_unitIso, CategoryTheory.GrothendieckTopology.yonedaOpCompCoyoneda_hom_app_app_down, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_map₂, CategoryTheory.Equivalence.sheafCongrPreregular_counitIso_inv_app_val_app, ContinuousMap.yonedaPresheaf'_obj, AlgebraicGeometry.RingedSpace.basicOpen_res, CategoryTheory.Comma.opFunctor_obj, AlgebraicGeometry.LocallyRingedSpace.restrict_presheaf_obj, SimplicialObject.Splitting.IndexSet.epiComp_fst, CategoryTheory.Pretriangulated.Opposite.mem_distinguishedTriangles_iff, CategoryTheory.Square.unop_X₂, CategoryTheory.Localization.isoOfHom_unop, CategoryTheory.Groupoid.invEquivalence_inverse_map, CategoryTheory.Presheaf.compULiftYonedaIsoULiftYonedaCompLan.uliftYonedaEquiv_ι_presheafHom, CategoryTheory.Limits.Cone.unop_ι, CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinsetLimitCone_isLimit_lift, CategoryTheory.Limits.widePushoutShapeUnop_obj, SimplicialObject.Splitting.IndexSet.id_fst, CategoryTheory.MorphismProperty.LeftFractionRel.unop, CategoryTheory.cocones_map_app_app, CategoryTheory.CategoryOfElements.costructuredArrowULiftYonedaEquivalence_unitIso, CategoryTheory.Sieve.functor_obj, TopCat.Presheaf.SheafConditionPairwiseIntersections.coneEquivInverse_obj_π_app, CategoryTheory.Functor.sheafPushforwardContinuousComp'_inv_app_val_app, SSet.Subcomplex.mem_ofSimplex_obj_iff, CategoryTheory.sheafToPresheafCompCoyonedaCompWhiskeringLeftSheafToPresheaf_hom_app_app_val, CategoryTheory.FunctorToTypes.functorHomEquiv_symm_apply_app_app, CategoryTheory.WithInitial.opEquiv_unitIso_inv_app, CategoryTheory.Limits.pushoutIsoOpPullback_inl_hom, skyscraperPresheaf_obj, AlgebraicGeometry.Scheme.restrictFunctorΓ_inv_app, CategoryTheory.Arrow.augmentedCechNerve_hom_app, imageToKernel_unop, CategoryTheory.shrinkYonedaEquiv_symm_map_assoc, CategoryTheory.Limits.ι_comp_colimitOpIsoOpLimit_hom_assoc, CategoryTheory.GrothendieckTopology.diagram_obj, commBialgCatEquivComonCommAlgCat_unitIso_inv_app, CategoryTheory.GrothendieckTopology.yonedaEquiv_symm_app_apply, CategoryTheory.HasLiftingProperty.unop, CategoryTheory.Arrow.mapCechNerve_app, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence.functor_obj_left_hom, CategoryTheory.ShortComplex.unop_X₂, CategoryTheory.GrothendieckTopology.liftToDiagramLimitObjAux_fac_assoc, CategoryTheory.Functor.hom_map, Profinite.Extend.functorOp_map, AlgebraicGeometry.Scheme.Modules.pushforwardCongr_hom_app_app, CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionHomRight, CategoryTheory.ObjectProperty.unop_ofObj, SimplicialObject.Splitting.IndexSet.fac_pull_assoc, CategoryTheory.Comon.MonOpOpToComon_obj, CategoryTheory.Pretriangulated.Opposite.UnopUnopCommShift.iso_inv_app, CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionAssocIso, CategoryTheory.Equivalence.rightOp_counitIso_inv_app, CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_base, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.inv_naturality, CategoryTheory.yoneda_map_app, CategoryTheory.unop_tensorHom, CategoryTheory.typeEquiv_functor_obj_val_obj, AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summand₀', CategoryTheory.Discrete.opposite_functor_obj_as, CategoryTheory.GrothendieckTopology.overMapPullbackId_inv_app_val_app, CategoryTheory.Equivalence.leftOp_unitIso_inv_app, CategoryTheory.Limits.Cone.equiv_inv_pt, CategoryTheory.unopUnop_obj, AlgebraicGeometry.Proj.pow_apply, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence_inverse, CategoryTheory.MonoidalCategory.MonoidalRightAction.oppositeRightAction_actionObj, CategoryTheory.yonedaCommGrpGrpObj_map, CategoryTheory.Square.unop_X₁, CategoryTheory.Pretriangulated.shiftFunctorZero_op_inv_app, HomologicalComplex.unopFunctor_obj, CategoryTheory.Equivalence.leftOp_functor_obj, SimplicialObject.Splitting.PInfty_comp_πSummand_id, LightCondSet.epi_iff_locallySurjective_on_lightProfinite, CategoryTheory.WithTerminal.opEquiv_inverse_obj, CategoryTheory.Limits.opProdIsoCoprod_hom_snd_assoc, CategoryTheory.Iso.unop2_op2, ModuleCat.monoidalClosed_uncurry, CategoryTheory.Functor.FullyFaithful.homNatIsoMaxRight_hom_app_down, CategoryTheory.Functor.leftOpRightOpEquiv_counitIso_inv_app_app, CategoryTheory.Adjunction.compCoyonedaIso_inv_app_app, CategoryTheory.isIso_unop_iff, CategoryTheory.OverPresheafAux.OverArrows.yonedaCollectionPresheafToA_val_fst, CategoryTheory.CosimplicialObject.Augmented.leftOp_right, CategoryTheory.unop_epi_of_mono, CategoryTheory.sheafToPresheafCompYonedaCompWhiskeringLeftSheafToPresheaf_inv_app_app, CategoryTheory.GrothendieckTopology.ι_plusCompIso_hom_assoc, LightCondensed.isoFinYoneda_inv_app, CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheaf_obj, CategoryTheory.linearYoneda_obj_map, smoothSheafCommRing.ι_evalHom_apply, CategoryTheory.Limits.widePullbackShapeUnop_map, CategoryTheory.prodOpEquiv_inverse_map, CategoryTheory.simplicialCosimplicialEquiv_counitIso_inv_app_app, CategoryTheory.Limits.PushoutCocone.unop_π_app, CategoryTheory.Pretriangulated.shiftFunctorCompIsoId_op_inv_app, CategoryTheory.Presheaf.functorToRepresentables_map, CategoryTheory.yonedaMonObjIsoOfRepresentableBy_hom_app_hom_apply, AlgebraicGeometry.Proj.mul_apply, CategoryTheory.Limits.IndObjectPresentation.extend_ι_app_app, CategoryTheory.unop_inv_associator, CategoryTheory.Pretriangulated.opShiftFunctorEquivalenceSymmHomEquiv_left_inv, CategoryTheory.Limits.Fork.unop_ι_app_zero, AlgebraicGeometry.Scheme.Modules.germ_restrictStalkNatIso_inv_app, CategoryTheory.Limits.opCompYonedaSectionsEquiv_symm_apply_coe, CategoryTheory.Yoneda.naturality, CompHausLike.LocallyConstantModule.functorToPresheaves_obj_obj_isModule, SSet.S.equivElements_symm_apply_dim, smoothSheafCommRing.eval_germ, CategoryTheory.Limits.Cocone.unop_π, PresheafOfModules.pushforward_map_app_apply, CategoryTheory.preadditiveYonedaObj_obj_carrier, LightCondensed.finYoneda_map, CategoryTheory.yonedaMonObjIsoOfRepresentableBy_inv_app_hom_apply, CategoryTheory.Functor.cones_map_app, CategoryTheory.Limits.pullbackIsoOpPushout_hom_inr_assoc, CategoryTheory.isCodetector_unop_iff, CategoryTheory.NatTrans.leftOp_app, CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapComp, CategoryTheory.Functor.closedSieves_obj, CategoryTheory.Limits.coyonedaCompLimIsoCones_inv_app, CategoryTheory.Subfunctor.ofSection_eq_range, CategoryTheory.Limits.pushoutIsoUnopPullback_inr_hom, CategoryTheory.unop_mono_iff, CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfOppositeLeftAction_actionAssocIso, CategoryTheory.sheafToPresheafCompCoyonedaCompWhiskeringLeftSheafToPresheaf_inv_app_app, AlgebraicGeometry.structureSheafInType.mul_apply, CategoryTheory.cokernelUnopUnop_inv, CategoryTheory.WithInitial.opEquiv_functor_map, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence.functor_obj_right_as, CategoryTheory.unop_tensor_unop, SimplicialObject.opFunctor_obj_map, CategoryTheory.kernelOpUnop_hom, CategoryTheory.Functor.IsCoverDense.isoOver_hom_app, CategoryTheory.Functor.FullyFaithful.compUliftCoyonedaCompWhiskeringLeft_hom_app_app_down, CategoryTheory.MonoidalCategory.MonoidalRightAction.oppositeRightAction_actionHomRight, CategoryTheory.Coyoneda.objOpOp_inv_app, CategoryTheory.Functor.opComp_inv_app, smoothSheaf.ι_evalHom_apply, CategoryTheory.sheafToPresheafCompYonedaCompWhiskeringLeftSheafToPresheaf_app_app, CategoryTheory.Limits.pushoutIsoUnopPullback_inl_hom_assoc, TopCat.Presheaf.pushforwardToOfIso_app, CategoryTheory.OverPresheafAux.yonedaCollectionPresheaf_map, CategoryTheory.WithInitial.opEquiv_counitIso_hom_app, CategoryTheory.Pretriangulated.shiftFunctorAdd'_op_hom_app, CategoryTheory.CostructuredArrow.unop_left_comp_ofMkLEMk_unop, CategoryTheory.GrothendieckTopology.diagramCompIso_hom_ι, CategoryTheory.unop_tensorUnit, CategoryTheory.Equivalence.sheafCongrPreregular_unitIso_hom_app_val_app, CategoryTheory.Adjunction.compYonedaIso_hom_app_app, PresheafOfModules.freeYonedaEquiv_symm_app, CommRingCat.coyoneda_map_app, TopCat.toSheafCompHausLike_val_obj, AlgebraicGeometry.ProjectiveSpectrum.Proj.toOpen_toSpec_val_c_app_assoc, TopCat.Presheaf.germ_res', AlgebraicGeometry.Scheme.Modules.pseudofunctor_map_l, CategoryTheory.CostructuredArrow.overEquivPresheafCostructuredArrow_inverse_map_toOverCompCoyoneda, TopologicalSpace.Opens.map_comp_obj_unop, CategoryTheory.Limits.pushoutIsoUnopPullback_inr_hom_assoc, Profinite.NobelingProof.spanFunctorIsoIndexFunctor_hom_app_hom_hom_apply_coe, CategoryTheory.Functor.LeibnizAdjunction.adj_unit_app_left, AugmentedSimplexCategory.equivAugmentedSimplicialObject_inverse_map_app, StalkSkyscraperPresheafAdjunctionAuxs.germ_fromStalk, SimplicialObject.Splitting.cofan_inj_eq, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence.functor_obj_left_right, CategoryTheory.Limits.pullbackIsoUnopPushout_hom_inr_assoc, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_app_eq, CategoryTheory.Limits.PullbackCone.unop_inl, CategoryTheory.uliftCoyonedaEquiv_uliftCoyoneda_map, CochainComplex.homotopyUnop_hom_eq, CategoryTheory.uliftYonedaEquiv_symm_apply_app, CategoryTheory.Pretriangulated.TriangleOpEquivalence.functor_map_hom₂, CategoryTheory.Limits.isLimitOfCoconeOfConeRightOp_lift, CategoryTheory.Presheaf.isLocallyInjective_iff_equalizerSieve_mem_imp, CategoryTheory.Limits.colimitYonedaHomIsoLimit'_π_apply, CategoryTheory.Limits.π_comp_colimitLeftOpIsoUnopLimit_inv, AlgebraicGeometry.Proj.one_apply, CategoryTheory.sheafToPresheafCompYonedaCompWhiskeringLeftSheafToPresheaf_hom_app_app_val, CommMonCat.coyonedaType_obj_map, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.isoRestrict_hom_c_app, CategoryTheory.nerve.homEquiv_apply, CategoryTheory.GrothendieckTopology.MayerVietorisSquare.biprodAddEquiv_symm_biprodIsoProd_hom_toBiprod_apply, CategoryTheory.Functor.LeibnizAdjunction.adj_counit_app_left, AlgebraicGeometry.PresheafedSpace.componentwiseDiagram_map, SimpleGraph.componentComplFunctor_obj, CategoryTheory.Limits.compYonedaSectionsEquiv_apply_app, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.inv_naturality, commBialgCatEquivComonCommAlgCat_unitIso_hom_app, CategoryTheory.Limits.Cofork.unop_op_π, CategoryTheory.WithTerminal.opEquiv_counitIso_inv_app, CategoryTheory.HasLiftingProperty.transfiniteComposition.wellOrderInductionData.liftHom_fac_assoc, CategoryTheory.Equivalence.sheafCongrPreregular_inverse_obj_val_map, CategoryTheory.MorphismProperty.RightFractionRel.unop, CategoryTheory.oppositeShiftFunctorAdd_inv_app, CategoryTheory.Presheaf.restrictedULiftYoneda_obj_map, CategoryTheory.Iso.unop2_inv, CategoryTheory.Limits.pushoutIsoUnopPullback_inv_snd, CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinsetObj_obj, CategoryTheory.Comma.opFunctor_map, CategoryTheory.image_ι_op_comp_imageUnopOp_hom, CategoryTheory.Functor.leftOp_obj, CategoryTheory.Limits.coneUnopOfCocone_pt, CategoryTheory.Limits.Cofork.unop_π_app_one, SSet.OneTruncation₂.ofNerve₂.natIso_inv_app_obj_obj, CategoryTheory.Subfunctor.Subpresheaf.ofSection_eq_range', CategoryTheory.Iso.unop_refl, AlgebraicGeometry.SheafedSpace.comp_hom_c_app, Bicategory.Opposite.bicategory_associator_hom_unop2, LightCondSet.topCatAdjunctionUnit_val_app_apply, CommRingCat.coyoneda_obj_map, CategoryTheory.Limits.piConst_map_app, CategoryTheory.Under.mapFunctor_obj, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_inv_naturality_assoc, CategoryTheory.Pretriangulated.Opposite.contractibleTriangleIso_hom_hom₂, SimpleGraph.infinite_iff_in_eventualRange, CategoryTheory.Pretriangulated.Opposite.UnopUnopCommShift.iso_inv_app_assoc, HomologicalComplex.opFunctor_obj, Bicategory.Opposite.unopFunctor_map, CategoryTheory.Functor.FullyFaithful.homNatIso_inv_app_down, CategoryTheory.Limits.pushoutIsoUnopPullback_inv_fst, CategoryTheory.LocalizerMorphism.LeftResolution.unop_X₁, topCatOpToFrm_map, CategoryTheory.MorphismProperty.LeftFraction.unop_X', AlgebraicGeometry.PresheafedSpace.comp_c_app, CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_naturality', CategoryTheory.uliftCoyonedaEquiv_symm_apply_app, CategoryTheory.LocalizerMorphism.RightResolution.unop_X₁, PresheafOfModules.pushforward_map_app_apply', AlgebraicGeometry.Proj.sub_apply, CategoryTheory.Functor.shift_map_op_assoc, CategoryTheory.SimplicialObject.Truncated.trunc_obj_obj, CategoryTheory.GrothendieckTopology.diagramCompIso_hom_ι_assoc, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_hom_naturality, SimplicialObject.Splitting.IndexSet.eqId_iff_len_eq, AddCommMonCat.coyonedaType_obj_map, SimplicialObject.Splitting.IndexSet.ext', CategoryTheory.OverPresheafAux.counitForward_naturality₁, CategoryTheory.linearYoneda_obj_obj_carrier, AlgebraicGeometry.PresheafedSpace.GlueData.snd_invApp_t_app_assoc, CategoryTheory.SimplicialObject.Truncated.rightExtensionInclusion_hom_app, CategoryTheory.Coyoneda.objOpOp_hom_app, CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_symm_map, CategoryTheory.Limits.π_comp_colimitUnopIsoOpLimit_inv, smoothSheaf.ι_evalHom_assoc, CategoryTheory.MorphismProperty.RightFraction.unop_s, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_inv_naturality, HomotopicalAlgebra.instWeakEquivalenceUnopOfOpposite, SSet.stdSimplex.face_eq_ofSimplex, CategoryTheory.Limits.coneOfCoconeRightOp_π, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_str_comp_val_app, CategoryTheory.Pretriangulated.shiftFunctorAdd'_op_inv_app, CompHausLike.LocallyConstant.counitApp_app, CategoryTheory.Functor.const.opObjUnop_hom_app, AlgebraicGeometry.StructureSheaf.comap_apply, CommMonCat.coyoneda_obj_map, CategoryTheory.eHomFunctor_obj_obj, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapComp_inv_toNatTrans_app_val_app, CompHausLike.LocallyConstantModule.functorToPresheaves_map_app, CategoryTheory.StructuredArrow.functor_map, CategoryTheory.Pretriangulated.Opposite.contractibleTriangleIso_hom_hom₁, CategoryTheory.Equivalence.sheafCongrPrecoherent_functor_obj_val_obj, CategoryTheory.Limits.PullbackCone.unop_inr, Subobject.presheaf_obj, AddCommMonCat.coyonedaType_map_app, CategoryTheory.Limits.pullbackIsoUnopPushout_hom_inl, CategoryTheory.Comon.MonOpOpToComon_map_hom, Profinite.Extend.functorOp_obj, TopCat.stalkToFiber_germ, SimpleGraph.end_componentCompl_infinite, CategoryTheory.Over.opEquivOpUnder_inverse_obj, Bicategory.Opposite.bicategory_leftUnitor_hom_unop2, CategoryTheory.Functor.sheafPushforwardContinuous_map_val_app, AlgebraicGeometry.Scheme.ofRestrict_appLE, CategoryTheory.Limits.FormalCoproduct.powerBifunctor_map_app, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso_inv_app_left, AlgebraicGeometry.Scheme.Γ_obj, CategoryTheory.le_of_op_hom, Condensed.finYoneda_map, Locale.coe_of, op_unop, topCatToSheafCompHausLike_map_val_app, CategoryTheory.GrothendieckTopology.yonedaULiftEquiv_naturality', CategoryTheory.Pseudofunctor.presheafHom_obj, CategoryTheory.linearCoyoneda_obj_obj_isAddCommGroup, CategoryTheory.Functor.FullyFaithful.compUliftYonedaCompWhiskeringLeft_inv_app_app_down, CategoryTheory.Functor.leftOpId_hom_app, CategoryTheory.WithTerminal.opEquiv_unitIso_hom_app, SimplicialObject.Splitting.IndexSet.mk_snd_coe, CategoryTheory.Adjunction.compPreadditiveYonedaIso_inv_app_app_apply, CategoryTheory.HasLiftingProperty.transfiniteComposition.wellOrderInductionData.liftHom_fac, CategoryTheory.Functor.leftOpRightOpEquiv_unitIso_inv_app, CategoryTheory.Functor.map_opShiftFunctorEquivalence_unitIso_inv_app_unop, CategoryTheory.WithTerminal.opEquiv_counitIso_hom_app, CategoryTheory.BraidedCategory.unop_tensorμ, CategoryTheory.ComposableArrows.opEquivalence_unitIso_inv_app, TopCat.Presheaf.pushforward_map_app, CategoryTheory.Pretriangulated.TriangleOpEquivalence.functor_map_hom₃, CommGrpCat.coyonedaType_map_app, CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapId, CategoryTheory.uliftYonedaEquiv_symm_map, AlgebraicGeometry.Scheme.Modules.germ_restrictStalkNatIso_hom_app, HomologicalComplex.cyclesOpNatIso_inv_app, CategoryTheory.Functor.cones_obj, CategoryTheory.preadditiveYonedaMap_app, AlgebraicGeometry.ΓSpec.locallyRingedSpaceAdjunction_counit_app', CategoryTheory.Iso.unop_trans, AddCommGrpCat.coyonedaForget_inv_app_app, CategoryTheory.kernelUnopUnop_inv, CategoryTheory.Enriched.FunctorCategory.diagram_map_app, CategoryTheory.Adjunction.compUliftCoyonedaIso_inv_app_app_down, CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence_inverse, CategoryTheory.presheafHom_obj, AlgebraicTopology.DoldKan.Γ₂_obj_p_app, Quiver.Hom.op_unop, CategoryTheory.opEquiv_apply, CategoryTheory.Pretriangulated.TriangleOpEquivalence.unitIso_hom_app, TopCat.Presheaf.presheafEquivOfIso_inverse_obj_map, CategoryTheory.Equivalence.symmEquivInverse_obj_counitIso_hom, ModuleCat.monoidalClosed_curry, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.inv_naturality_assoc, TopCat.presheafToTop_obj, CategoryTheory.simplicialToCosimplicialAugmented_map_left, CategoryTheory.Equivalence.sheafCongrPreregular_functor_obj_val_obj, AddCommGrpCat.coyonedaForget_hom_app_app_hom, CategoryTheory.kernelOpUnop_inv, CategoryTheory.Limits.Fork.unop_ι_app_one, CategoryTheory.Arrow.cechNerve_obj, CategoryTheory.Comon.ComonToMonOpOp_map, CategoryTheory.yonedaMonObj_map, CategoryTheory.Equivalence.sheafCongrPreregular_functor_map_val_app, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_hom_naturality_assoc, CategoryTheory.uliftYonedaEquiv_naturality, CategoryTheory.Limits.opHomCompWhiskeringLimYonedaIsoCocones_hom_app_app_app, SimplicialObject.Splitting.IndexSet.eqId_iff_mono, CategoryTheory.Limits.Fork.unop_op_ι, CategoryTheory.Limits.FormalCoproduct.powerBifunctor_obj, CategoryTheory.Presheaf.equalizerSieve_self_eq_top, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_map_toFunctor_obj_val_obj, unop_eq_iff_eq_op, AlgebraicGeometry.Spec.toLocallyRingedSpace_obj, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence_counitIso, CategoryTheory.Functor.natTransEquiv_symm_apply_app, CategoryTheory.Presheaf.functorEnrichedHomCoyonedaObjEquiv_naturality, CategoryTheory.Limits.piConst_obj_map, CommMonCat.coyonedaForget_inv_app_app, PartialOrder.mem_nerve_nonDegenerate_iff_injective, CategoryTheory.NatTrans.removeUnop_app, AlgebraicGeometry.SheafedSpace.comp_c_app, CategoryTheory.Localization.isoOfHom_op_inv, CategoryTheory.cosimplicialSimplicialEquiv_functor_obj_obj, CategoryTheory.CostructuredArrow.toStructuredArrow'_obj, CategoryTheory.simplicialCosimplicialEquiv_unitIso_hom_app, CategoryTheory.Limits.pullbackIsoOpPushout_inv_fst_assoc, CategoryTheory.nerve.mk₁_homEquiv_apply, CategoryTheory.Functor.sheafPushforwardContinuousCompSheafToPresheafIso_inv_app_app, CategoryTheory.yonedaMon_naturality, CategoryTheory.Limits.colimitYonedaHomIsoLimit_π_apply, CategoryTheory.cokernelUnopOp_hom, CategoryTheory.Equivalence.sheafCongrPreregular_inverse_map_val_app, CategoryTheory.Equivalence.sheafCongrPrecoherent_functor_obj_val_map, CategoryTheory.WithInitial.opEquiv_inverse_obj, CategoryTheory.unop_whiskerRight, CategoryTheory.Limits.coneOfCoconeLeftOp_π_app, CommAlgCat.lift_unop_hom, AlgebraicGeometry.ΓSpec.adjunction_counit_app, CategoryTheory.Equivalence.rightOp_inverse_map, AlgebraicGeometry.Scheme.restrict_presheaf_obj, CategoryTheory.OverPresheafAux.yonedaCollectionPresheafToA_app, CategoryTheory.Limits.SequentialProduct.functorMap_commSq_aux, AugmentedSimplexCategory.equivAugmentedSimplicialObject_inverse_obj_obj, CategoryTheory.OverPresheafAux.counitForward_val_snd, CategoryTheory.Over.opEquivOpUnder_inverse_map, CategoryTheory.Limits.SequentialProduct.cone_π_app_comp_Pi_π_neg_assoc, commBialgCatEquivComonCommAlgCat_functor_obj_unop_X, CommAlgCat.mul_op_of_unop_hom, CategoryTheory.Pretriangulated.Opposite.contractibleTriangleIso_inv_hom₃, CategoryTheory.presheafHom_map_app, Bicategory.Opposite.bicategory_leftUnitor_inv_unop2, CategoryTheory.Equivalence.sheafCongrPreregular_functor_obj_val_map, CategoryTheory.Limits.isColimitOfConeUnopOfCocone_desc, CategoryTheory.Limits.yonedaCompLimIsoCocones_hom_app_app, smoothSheafCommRing.ι_evalHom, CategoryTheory.Subfunctor.ofSection_eq_range', CategoryTheory.simplicialCosimplicialEquiv_counitIso_hom_app_app, CategoryTheory.Limits.ProductsFromFiniteCofiltered.finiteSubproductsCocone_π_app_eq_sum, CategoryTheory.Pretriangulated.Opposite.contractibleTriangleIso_hom_hom₃, CategoryTheory.linearYoneda_map_app, AlgebraicGeometry.Scheme.Modules.restrictFunctorComp_hom_app_app, CommRingCat.moduleCatRestrictScalarsPseudofunctor_map, AlgebraicGeometry.Spec.map_preimage_unop, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_hom_app, SSet.horn_obj, CategoryTheory.preadditiveYonedaObj_obj_isModule, AlgebraicGeometry.Scheme.Modules.restrictFunctorComp_inv_app_app, CategoryTheory.ComposableArrows.opEquivalence_functor_obj_map, CategoryTheory.Equivalence.sheafCongrPrecoherent_inverse_map_val_app, CategoryTheory.Presheaf.restrictedULiftYoneda_map_app, AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.inv_naturality_assoc, CategoryTheory.CosimplicialObject.Augmented.leftOp_left_map, CategoryTheory.Functor.ofOpSequence_obj, SimplicialObject.Splitting.IndexSet.mk_fst, CategoryTheory.Groupoid.invEquivalence_inverse_obj, CategoryTheory.linearYoneda_obj_obj_isAddCommGroup, Set.mem_op, CommAlgCat.fst_unop_hom, smoothSheafCommRing.evalHom_germ, CategoryTheory.cokernel.π_unop, CategoryTheory.GrothendieckTopology.yonedaEquiv_naturality', CategoryTheory.Functor.map_shift_unop, CategoryTheory.LocalizerMorphism.LeftResolution.opFunctor_obj, CategoryTheory.Join.opEquiv_functor_map_op_edge, CategoryTheory.yonedaMonObj_obj_coe, SimplicialObject.Splitting.ιSummand_comp_d_comp_πSummand_eq_zero, CategoryTheory.Presheaf.functorToRepresentables_obj, CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfOppositeLeftAction_actionObj, CategoryTheory.unop_inv_leftUnitor, ContinuousMap.yonedaPresheaf_map, CategoryTheory.Functor.op_commShiftIso_hom_app_assoc, CategoryTheory.Functor.FullyFaithful.compYonedaCompWhiskeringLeftMaxRight_inv_app_app, CategoryTheory.yoneda_obj_obj, CategoryTheory.Join.opEquiv_functor_map_op_inclRight, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_zero_unitIso_inv_app, SSet.stdSimplex.face_obj, CategoryTheory.Pretriangulated.shift_opShiftFunctorEquivalence_counitIso_inv_app_assoc, AlgebraicGeometry.Scheme.kerAdjunction_counit_app, CategoryTheory.Square.unop_X₃, CategoryTheory.Limits.opSpan_hom_app, CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfOppositeLeftAction_actionHom_unop, CategoryTheory.Limits.π_comp_colimitLeftOpIsoUnopLimit_inv_assoc, SSet.stdSimplex.map_apply, HomologicalComplex.unop_X, TopCat.Presheaf.presheafEquivOfIso_unitIso_hom_app_app, HomologicalComplex.opFunctor_map_f, CategoryTheory.LocalizerMorphism.LeftResolution.unop_w, CategoryTheory.FunctorToTypes.rightAdj_map_app, AlgebraicGeometry.ΓSpec.toOpen_comp_locallyRingedSpaceAdjunction_homEquiv_app, AlgebraicGeometry.PresheafedSpace.GlueData.opensImagePreimageMap_app, CategoryTheory.Functor.homObjFunctor_map_app, CategoryTheory.MorphismProperty.LeftFraction.unop_f, CategoryTheory.Limits.limitUnopIsoUnopColimit_inv_comp_π_assoc, CategoryTheory.Limits.pullbackIsoUnopPushout_inv_fst, CategoryTheory.Limits.whiskeringLimYonedaIsoCones_inv_app_app, classifyingSpaceUniversalCover_map, AlgebraicGeometry.AffineSpace.functor_obj_map, CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfOppositeRightAction_actionObj, CategoryTheory.GrothendieckTopology.yonedaOpCompCoyoneda_inv_app_app, CategoryTheory.Functor.leftOpRightOpEquiv_functor_obj_obj, CategoryTheory.Limits.colimitCoyonedaHomIsoLimitUnop_π_apply, CompHausLike.LocallyConstant.functorToPresheaves_map_app, CategoryTheory.factorThruImage_comp_imageUnopOp_inv, CondensedSet.topCatAdjunctionUnit_val_app_apply, CategoryTheory.FunctorToTypes.rightAdj_map_app_app, CategoryTheory.Limits.limitRightOpIsoOpColimit_hom_comp_ι, CategoryTheory.Limits.opProdIsoCoprod_inv_inl, CategoryTheory.Limits.isLimitOfCoconeLeftOpOfCone_lift, CategoryTheory.unop_comp, CategoryTheory.Pretriangulated.Opposite.UnopUnopCommShift.iso_hom_app_assoc, CategoryTheory.Limits.BinaryFan.unop_mk, CategoryTheory.Subobject.functor_obj, AlgebraicGeometry.SheafedSpace.ofRestrict_hom_c_app, finGaloisGroupMap.map_id, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.inv_naturality_assoc, CategoryTheory.Limits.pushoutIsoOpPullback_inv_fst, CategoryTheory.uliftYoneda_obj_map, CategoryTheory.Functor.LeibnizAdjunction.adj_counit_app_right, AlgebraicGeometry.Scheme.Modules.restrictFunctorCongr_inv_app_app, AlgebraicGeometry.Scheme.Hom.map_appLE_assoc, CategoryTheory.ComposableArrows.opEquivalence_functor_map_app, CategoryTheory.Equivalence.sheafCongrPrecoherent_inverse_obj_val_obj, CategoryTheory.GrothendieckTopology.map_yonedaEquiv', AugmentedSimplexCategory.equivAugmentedSimplicialObject_counitIso_inv_app_left_app, AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapComp_hom_τl, TopologicalSpace.OpenNhds.map_id_obj_unop, CategoryTheory.kernelUnopOp_hom, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_hom_app, CategoryTheory.eHomFunctor_map_app, CategoryTheory.Pretriangulated.Opposite.contractibleTriangleIso_inv_hom₁, CategoryTheory.uliftYoneda_obj_obj, CategoryTheory.typeEquiv_counitIso_inv_app_val_app, CategoryTheory.op_id_unop, SSet.stdSimplex.coe_edge_down_toOrderHom, AlgebraicGeometry.PresheafedSpace.GlueData.opensImagePreimageMap_app', CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinset_obj_map, CategoryTheory.yonedaMon_map_app, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompDropIso_hom_app_app, CategoryTheory.yonedaEquiv_naturality', CategoryTheory.OverPresheafAux.restrictedYonedaObj_map, CategoryTheory.CategoryOfElements.costructuredArrowULiftYonedaEquivalence_functor_obj, CategoryTheory.WithTerminal.opEquiv_functor_obj, CategoryTheory.Enriched.Functor.functorHom_whiskerLeft_natTransEquiv_symm_app, CategoryTheory.cokernel.π_op, AlgebraicGeometry.ΓSpec.locallyRingedSpaceAdjunction_homEquiv_apply', ContinuousMap.yonedaPresheaf_obj, CategoryTheory.cosimplicialSimplicialEquiv_functor_map_app, TopCat.Presheaf.pushforward_obj_obj, CategoryTheory.RanIsSheafOfIsCocontinuous.fac', CategoryTheory.Pretriangulated.commShiftIso_unopUnop_inv_app, CategoryTheory.Limits.opCospan_hom_app, CategoryTheory.Comon.MonOpOpToComonObj_comon_comul, CategoryTheory.yoneda_obj_map, SSet.stdSimplex.isoNerve_hom_app_apply, CategoryTheory.Cat.opFunctorInvolutive_hom_app_toFunctor_map, AlgebraicGeometry.ΓSpec.unop_locallyRingedSpaceAdjunction_counit_app', Condensed.epi_iff_locallySurjective_on_compHaus, CategoryTheory.Cat.opFunctorInvolutive_hom_app_toFunctor_obj, CategoryTheory.Equivalence.sheafCongr.inverse_obj_val_obj, CategoryTheory.isDetector_unop_iff, CategoryTheory.cokernelOpUnop_inv, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_str_id_val_app, CategoryTheory.CategoryOfElements.fromCostructuredArrow_obj_snd, CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheaf_map, LightCondensed.isLocallySurjective_iff_locallySurjective_on_lightProfinite, CategoryTheory.oppositeShiftFunctorZero_inv_app, PresheafOfModules.pushforward_obj_map_apply, CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfOppositeRightAction_actionAssocIso_unop, CategoryTheory.Limits.kernelOrderHom_coe, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_zero_unitIso_hom_app, CategoryTheory.Equivalence.rightOp_inverse_obj, CategoryTheory.Enriched.FunctorCategory.enrichedComp_π_assoc, CategoryTheory.regularTopology.isLocallySurjective_iff, PartialOrder.mem_range_nerve_σ_iff, CategoryTheory.StructuredArrow.toCostructuredArrow_map, CategoryTheory.Abelian.extFunctor_obj, SimplicialObject.Splitting.πSummand_comp_cofan_inj_id_comp_PInfty_eq_PInfty, CategoryTheory.kernel.ι_unop, CategoryTheory.CostructuredArrow.overEquivPresheafCostructuredArrow_functor_map_toOverCompYoneda, CategoryTheory.Comma.unopFunctor_obj, HomologicalComplex.unopSymm_X, CategoryTheory.Functor.functorHom_ext_iff, CategoryTheory.GrothendieckTopology.yonedaEquiv_symm_map, CategoryTheory.CategoryOfElements.costructuredArrowULiftYonedaEquivalence_functor_map, CategoryTheory.unop_neg, CategoryTheory.ObjectProperty.op_iff, SimplicialObject.Splitting.cofan_inj_πSummand_eq_id, CategoryTheory.Abelian.extFunctor_map_app, CategoryTheory.Iso.unop_hom_inv_id_app, CategoryTheory.Coyoneda.naturality, CategoryTheory.Limits.pushoutIsoUnopPullback_inl_hom, CategoryTheory.ComposableArrows.opEquivalence_unitIso_hom_app, CategoryTheory.SimplicialObject.augment_hom_app, CategoryTheory.ShortComplex.unop_X₁, CategoryTheory.Pretriangulated.mem_distTriang_op_iff, TopCat.presheafToTypes_map, AddCommMonCat.coyoneda_map_app, CategoryTheory.Under.mapFunctor_map, CategoryTheory.Limits.coconeOfConeRightOp_ι, AlgebraicGeometry.Scheme.restrictFunctorΓ_hom_app, AlgebraicGeometry.Scheme.Modules.restrictFunctorCongr_hom_app_app, AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapComp_hom_τr, CategoryTheory.Iso.unop_symm, Bicategory.Opposite.bicategory_whiskerRight_unop2, Bicategory.Opposite.homCategory_comp_unop2, CategoryTheory.Functor.sheafPushforwardContinuous_obj_val_map, Set.opEquiv_self_apply_coe, smoothSheafCommRing.ι_forgetStalk_inv_apply, Condensed.lanPresheafNatIso_hom_app, CategoryTheory.Equivalence.symmEquivInverse_obj_functor, AlgebraicGeometry.SheafedSpace.Γ_map, CategoryTheory.Sieve.functorInclusion_app, CategoryTheory.Pretriangulated.shiftFunctorZero_op_hom_app, CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_symm_app_apply, CategoryTheory.OverPresheafAux.yonedaCollectionPresheaf_obj, CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfOppositeRightAction_actionObj_unop, CategoryTheory.Pseudofunctor.presheafHom_map, CategoryTheory.Pretriangulated.opShiftFunctorEquivalenceSymmHomEquiv_apply, CategoryTheory.MonoidalCategory.DayConvolutionUnit.rightUnitorCorepresentingIso_hom_app_app, SimplicialObject.Splitting.IndexSet.fac_pull, AlgebraicGeometry.Scheme.Modules.mapPresheaf_app, SimplicialObject.Split.cofan_inj_naturality_symm_assoc, CommAlgCat.snd_unop_hom, CategoryTheory.Limits.pullbackIsoOpPushout_inv_fst, CategoryTheory.Equivalence.sheafCongr.unitIso_hom_app_val_app, CategoryTheory.Limits.PreservesFiniteLimitsOfIsFilteredCostructuredArrowYonedaAux.isoAux_hom_app, Quiver.Hom.opEquiv_symm_apply, CategoryTheory.Functor.op_commShiftIso_inv_app_assoc, CategoryTheory.CostructuredArrow.toStructuredArrow'_map, CategoryTheory.unop_add, StructureGroupoid.LocalInvariantProp.section_spec, CategoryTheory.Functor.leftOpId_inv_app, CategoryTheory.Limits.pullbackIsoOpPushout_inv_snd, AlgebraicGeometry.Spec.sheafedSpaceMap_hom_c_app, SSet.const_app, RingCat.moduleCatRestrictScalarsPseudofunctor_mapId, AlgebraicGeometry.Spec.toSheafedSpace_obj, CategoryTheory.ShortComplex.unop_X₃, CategoryTheory.sheafToPresheafCompCoyonedaCompWhiskeringLeftSheafToPresheaf_app_app, CategoryTheory.IsPushout.unop, AlgebraicGeometry.Scheme.Hom.appLE_map_assoc, smoothSheaf.obj_eq, CategoryTheory.MorphismProperty.LeftFraction.unop_s, CategoryTheory.Functor.unop_obj, AlgebraicGeometry.PresheafedSpace.comp_c_app_assoc, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_map_left_app, CategoryTheory.Under.opEquivOpOver_functor_obj, CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfOppositeLeftAction_actionHomLeft_unop, AlgebraicGeometry.SheafedSpace.IsOpenImmersion.isoRestrict_hom_hom_c_app, CategoryTheory.eComp_op_eq_assoc, CompHausLike.LocallyConstantModule.functorToPresheaves_obj_map, CategoryTheory.Enriched.Functor.natTransEquiv_symm_app_app_apply, CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionObj, CategoryTheory.unop_mono_of_epi, SheafOfModules.pushforwardPushforwardAdj_unit_app_val_app, CategoryTheory.GrothendieckTopology.uliftYonedaIsoYoneda_hom_app_val_app, CategoryTheory.NatTrans.op_app, AlgebraicTopology.DoldKan.Γ₀_map_app, CategoryTheory.uliftYoneda_obj_map_down, CategoryTheory.Functor.sheafPushforwardContinuousComp_inv_app_val_app, CategoryTheory.Limits.Cone.equiv_inv_π, unop_inj_iff, HomotopicalAlgebra.weakEquivalences_unop_iff, CategoryTheory.SimplicialObject.Truncated.trunc_obj_map, CategoryTheory.Functor.leftOpRightOpEquiv_unitIso_hom_app, CategoryTheory.Presheaf.uliftYonedaAdjunction_homEquiv_app, CategoryTheory.Sieve.uliftNatTransOfLe_app_down_coe, AlgebraicGeometry.Scheme.Γ_map, CategoryTheory.Equivalence.sheafCongrPreregular_counitIso_hom_app_val_app, CategoryTheory.cones_obj_map_app, CategoryTheory.NatTrans.removeRightOp_app, TopCat.Presheaf.germ_res_apply', CategoryTheory.Square.opFunctor_map_τ₁, CategoryTheory.Presheaf.IsLocallyInjective.equalizerSieve_mem, CategoryTheory.Limits.opCospan_inv_app, AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summand₀'_assoc, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso_hom_app_left, CategoryTheory.Limits.limitRightOpIsoOpColimit_hom_comp_ι_assoc, CategoryTheory.Equivalence.sheafCongrPrecoherent_counitIso_inv_app_val_app, CategoryTheory.LocalizerMorphism.RightResolution.unopFunctor_obj, Bicategory.Opposite.unopFunctor_obj, CategoryTheory.Limits.coneOfSectionCompCoyoneda_pt, SimplicialObject.Splitting.IndexSet.id_snd_coe, CategoryTheory.Equivalence.sheafCongr.functor_map_val_app, CategoryTheory.unopHom_apply, CategoryTheory.Functor.sheafPushforwardContinuousComp_hom_app_val_app, CategoryTheory.Adjunction.compPreadditiveYonedaIso_hom_app_app_apply, HomotopicalAlgebra.instFibrationUnopOfCofibrationOpposite, AddCommGrpCat.coyonedaType_obj_map, CategoryTheory.Square.opFunctor_obj, CategoryTheory.Equivalence.symmEquivInverse_obj_counitIso_inv, CategoryTheory.Limits.FormalCoproduct.cechFunctor_map_app, CategoryTheory.Limits.PullbackCone.unop_ι_app, AlgebraicGeometry.Proj.zero_apply, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_inv_naturality_assoc, CategoryTheory.Functor.sheafPushforwardContinuous_obj_val_obj, CategoryTheory.Limits.FormalCoproduct.evalOp_map_app, CategoryTheory.Functor.IsCoverDense.Types.presheafIso_inv_app, CategoryTheory.cosimplicialSimplicialEquiv_unitIso_hom_app, StalkSkyscraperPresheafAdjunctionAuxs.germ_fromStalk_assoc, SimplicialObject.Splitting.cofan_inj_πSummand_eq_zero, CategoryTheory.GrothendieckTopology.diagram_map, CategoryTheory.Sieve.uliftFunctorInclusion_app, CategoryTheory.CategoryOfElements.costructuredArrowULiftYonedaEquivalence_counitIso, CategoryTheory.Equivalence.inverseFunctorObj'_hom_app, AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.one_mem', AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapId_hom_τr, CategoryTheory.Functor.op_commShiftIso_inv_app, CategoryTheory.cocones_obj_map_app, CategoryTheory.isIso_unop, AlgebraicGeometry.Scheme.IdealSheafData.subschemeFunctor_obj, RingCat.moduleCatRestrictScalarsPseudofunctor_map, CategoryTheory.GrothendieckTopology.diagramPullback_app, CategoryTheory.Over.opEquivOpUnder_counitIso, CategoryTheory.Limits.coconeOfConeRightOp_pt, AlgebraicGeometry.PresheafedSpace.GlueData.f_invApp_f_app, CategoryTheory.OverPresheafAux.counitAux_hom, CategoryTheory.Iso.unop2_hom, AugmentedSimplexCategory.equivAugmentedSimplicialObject_counitIso_hom_app_left_app, CategoryTheory.CategoryOfElements.fromCostructuredArrow_map_coe, CategoryTheory.Square.opFunctor_map_τ₂, CategoryTheory.RetractArrow.unop_r_right, CategoryTheory.Pretriangulated.TriangleOpEquivalence.unitIso_inv_app, CategoryTheory.unop_leftUnitor, CategoryTheory.yonedaGrpObj_map, CategoryTheory.eHomFunctor_obj_map, CategoryTheory.unop_braiding, TopCat.Presheaf.pullback_obj_obj_ext_iff, CategoryTheory.Functor.RepresentableBy.homEquiv_unop_comp, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence.functor_map_left_right, AlgebraicGeometry.Scheme.ofRestrict_toLRSHom_c_app, CategoryTheory.yonedaGrpObjIsoOfRepresentableBy_hom, CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfOppositeRightAction_actionHom_unop, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_obj_hom_app, CategoryTheory.Adjunction.compYonedaIso_inv_app_app, PartialOrder.mem_nerve_nonDegenerate_iff_strictMono, CategoryTheory.yonedaGrpObjIsoOfRepresentableBy_inv, SimplicialObject.Splitting.IndexSet.instEpiSimplexCategoryE, CategoryTheory.Functor.hom_obj, CategoryTheory.Coyoneda.colimitCoconeIsColimit_desc, unop_surjective, topCatOpToFrm_obj_coe, SSet.stdSimplex.objEquiv_symm_mem_nonDegenerate_iff_mono, SimplicialObject.Splitting.cofan_inj_comp_app, CategoryTheory.Limits.limitOpIsoOpColimit_inv_comp_π_assoc, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_hom_naturality_assoc, CategoryTheory.Limits.coneOfCoconeRightOp_pt, TopCat.subpresheafToTypes_map_coe, CategoryTheory.OverPresheafAux.unitAuxAux_inv_app_fst, AlgebraicTopology.DoldKan.Γ₀.map_app, CategoryTheory.Comma.opFunctorCompSnd_hom_app, CategoryTheory.WithInitial.opEquiv_counitIso_inv_app, CategoryTheory.Pretriangulated.TriangleOpEquivalence.functor_obj, CategoryTheory.OverPresheafAux.unitAuxAux_inv_app_snd_coe, CategoryTheory.Limits.coneLeftOpOfCocone_π_app, AlgebraicGeometry.Scheme.Modules.pseudofunctor_obj_obj, PresheafOfModules.Elements.fromFreeYoneda_app_apply, CategoryTheory.unop_epi_iff, PresheafOfModules.pushforward_obj_obj, AlgebraicGeometry.Scheme.kerFunctor_map, CategoryTheory.Limits.FormalCoproduct.cech_map, TopCat.Presheaf.pushforward_map_app', SimplicialObject.Splitting.σ_comp_πSummand_id_eq_zero_assoc, CategoryTheory.Functor.RepresentableBy.uniqueUpToIso_hom, CondensedSet.topCatAdjunctionUnit_val_app, CategoryTheory.Functor.sheafPushforwardContinuousId'_inv_app_val_app, CategoryTheory.uliftYoneda_map_app, CompHausLike.LocallyConstantModule.functorToPresheaves_obj_obj_carrier, CategoryTheory.Functor.map_opShiftFunctorEquivalence_counitIso_hom_app_unop, lightProfiniteToLightCondSetIsoTopCatToLightCondSet_hom_app_val_app_apply, CategoryTheory.tensorHom_eComp_op_eq_assoc, CategoryTheory.Iso.unop_inv, SSet.stdSimplex.const_down_toOrderHom, CategoryTheory.Functor.uliftYonedaReprXIso_hom_app, TopCat.Presheaf.pushforward_obj_map, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence_unitIso, CategoryTheory.Limits.opProdIsoCoprod_hom_fst, CategoryTheory.ComposableArrows.opEquivalence_functor_obj_obj, CategoryTheory.equivYoneda_hom_app, TopCat.Presheaf.presheafEquivOfIso_unitIso_inv_app_app, CategoryTheory.Limits.walkingCospanOpEquiv_functor_map, CategoryTheory.Equivalence.symmEquiv_counitIso, CategoryTheory.Functor.map_opShiftFunctorEquivalence_counitIso_inv_app_unop_assoc, CategoryTheory.Limits.pushoutIsoOpPullback_inr_hom, AlgebraicGeometry.structureSheafInType.add_apply, CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfOppositeLeftAction_actionAssocIso_unop, CategoryTheory.Limits.piConst_obj_obj, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_hom_naturality, instIsCommMonObjOppositeCommAlgCatXUnopMonObjCommBialgCatFunctorCommBialgCatEquivComonCommAlgCatOfIsCocommCarrier, CategoryTheory.cosimplicialSimplicialEquiv_unitIso_inv_app, CategoryTheory.yonedaMap_app_apply, CategoryTheory.Equivalence.sheafCongr.functor_obj_val_map, germ_skyscraperPresheafStalkOfSpecializes_hom_assoc, CategoryTheory.SimplicialObject.Truncated.trunc_map_app, AlgebraicGeometry.Proj.ext_iff, SSet.stdSimplex.objEquiv_symm_comp, AlgebraicGeometry.LocallyRingedSpace.Γ_map, CategoryTheory.Equivalence.sheafCongrPrecoherent_unitIso_inv_app_val_app, TopCat.Presheaf.presheafEquivOfIso_functor_obj_obj, AlgebraicGeometry.PresheafedSpace.componentwiseDiagram_obj, AlgebraicGeometry.AffineSpace.functor_obj_obj, ModuleCat.ihom_coev_app, CategoryTheory.CommSq.unop, CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinset_map_app, CategoryTheory.Functor.const.unop_functor_op_obj_map, CategoryTheory.kernelUnopUnop_hom, CategoryTheory.Functor.leftOpComp_inv_app, CategoryTheory.Iso.op2_unop_inv_unop2, smoothSheaf.eval_germ, CategoryTheory.Comma.opFunctorCompFst_hom_app, CommAlgCat.toUnit_unop_hom, Quiver.Hom.unop_inj, CommGrpCat.coyonedaForget_hom_app_app_hom, SimplicialObject.Splitting.PInfty_comp_πSummand_id_assoc, CategoryTheory.GrothendieckTopology.map_uliftYonedaEquiv', CategoryTheory.oppositeShiftFunctorZero_hom_app, CategoryTheory.nerve_map, CategoryTheory.Limits.Fork.op_ι_app, AlgebraicGeometry.AffineSpace.functor_map_app, AlgebraicGeometry.LocallyRingedSpace.restrict_presheaf_map, AlgebraicGeometry.Proj.add_apply, AlgebraicGeometry.PresheafedSpace.Γ_obj, CategoryTheory.Comma.opFunctorCompFst_inv_app, CategoryTheory.CostructuredArrow.toStructuredArrow_obj, Set.unop_mem_unop, CategoryTheory.Limits.coconeUnopOfCone_pt, CategoryTheory.Limits.pullbackIsoOpPushout_hom_inl, CategoryTheory.Comma.unopFunctor_map, CategoryTheory.Limits.walkingCospanOpEquiv_functor_obj, CategoryTheory.nerve.δ_obj, CategoryTheory.tensorHom_eComp_op_eq, CategoryTheory.linearCoyoneda_obj_map, CategoryTheory.simplicialCosimplicialEquiv_functor_map_app, CategoryTheory.Functor.leftOpRightOpEquiv_counitIso_hom_app_app, CategoryTheory.OverPresheafAux.restrictedYonedaObj_obj, CategoryTheory.Limits.isColimitOfConeLeftOpOfCocone_desc, CategoryTheory.Limits.walkingSpanOpEquiv_functor_map, CategoryTheory.Limits.unop_zero, CategoryTheory.CategoryOfElements.costructuredArrowYonedaEquivalence_unitIso, CategoryTheory.ShortComplex.rightHomologyFunctorOpNatIso_hom_app, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_map_toFunctor_map_val_app, CategoryTheory.Functor.opHom_obj, AlgebraicGeometry.PresheafedSpace.GlueData.opensImagePreimageMap_app_assoc, CategoryTheory.yonedaCommGrpGrpObj_obj_coe, CategoryTheory.orderDualEquivalence_counitIso, CategoryTheory.Iso.unop_hom_inv_id_app_assoc, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_hom_app_assoc, CategoryTheory.Presheaf.equalizerSieve_mem, CommAlgCat.one_op_of_unop_hom, op_eq_iff_eq_unop, CategoryTheory.yonedaPairing_map, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_inv_app, AlgebraicGeometry.Spec.toSheafedSpace_map, CategoryTheory.ShortComplex.RightHomologyData.unop_K, CategoryTheory.uliftYoneda_map_app_down, CategoryTheory.isoOpEquiv_symm_apply, SimplicialObject.Splitting.decomposition_id, AlgebraicGeometry.PresheafedSpace.GlueData.snd_invApp_t_app, CategoryTheory.Limits.coneLeftOpOfCocone_pt, CategoryTheory.OverPresheafAux.restrictedYonedaObjMap₁_app, CategoryTheory.Limits.widePullbackShapeUnop_obj, AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.inv_naturality, CategoryTheory.Functor.const.opObjUnop_inv_app, CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_π_0, CategoryTheory.ShortComplex.LeftHomologyData.unop_H, CategoryTheory.Equivalence.rightOp_counitIso_hom_app, CategoryTheory.yonedaPairingExt_iff, AlgebraicGeometry.ΓSpec.locallyRingedSpaceAdjunction_homEquiv_apply, CategoryTheory.Iso.op2_unop_hom_unop2, CategoryTheory.OverPresheafAux.app_unitForward, CategoryTheory.Limits.BinaryCofan.unop_mk, CategoryTheory.unop_rightUnitor, CategoryTheory.Pretriangulated.unop_distinguished, CategoryTheory.typeEquiv_counitIso_hom_app_val_app, CategoryTheory.CategoryOfElements.toCostructuredArrow_obj, CategoryTheory.preadditiveYonedaObj_obj_isAddCommGroup, CategoryTheory.Presheaf.uliftYonedaAdjunction_unit_app_app, CategoryTheory.Functor.opUnopEquiv_unitIso, CategoryTheory.Functor.FullyFaithful.compYonedaCompWhiskeringLeftMaxRight_hom_app_app_down, CategoryTheory.unop_inv, AlgebraicGeometry.StructureSheaf.res_apply, SSet.stdSimplex.yonedaEquiv_map, CategoryTheory.Comon.monoidal_tensorUnit_comon_comul, CategoryTheory.Enriched.Functor.natTransEquiv_symm_whiskerRight_functorHom_app, CategoryTheory.Adjunction.compCoyonedaIso_hom_app_app, CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitorCorepresentingIso_inv_app_app, CategoryTheory.unop_comp_assoc, CategoryTheory.GrothendieckTopology.map_yonedaULiftEquiv', Set.singleton_unop_op, CategoryTheory.Limits.Cofork.unop_π_app_zero, CategoryTheory.ShiftedHom.opEquiv'_zero_add_symm, CategoryTheory.Limits.pullbackIsoUnopPushout_hom_inl_assoc, CategoryTheory.ShortComplex.opFunctor_obj, AddCommMonCat.coyonedaForget_inv_app_app, CategoryTheory.Functor.map_opShiftFunctorEquivalence_unitIso_hom_app_unop_assoc, CategoryTheory.sectionsFunctorNatIsoCoyoneda_hom_app_app, CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyoneda_hom_app_app_down, CategoryTheory.Presheaf.compULiftYonedaIsoULiftYonedaCompLan.uliftYonedaEquiv_presheafHom_uliftYoneda_obj, CommGrpCat.coyoneda_obj_obj_coe, CategoryTheory.Functor.shift_map_op, AlgebraicGeometry.RingedSpace.basicOpen_res_eq, CategoryTheory.nerve_obj, CategoryTheory.Limits.ι_comp_colimitOpIsoOpLimit_hom, CategoryTheory.Pretriangulated.shiftFunctor_op_map, CategoryTheory.Limits.limitLeftOpIsoUnopColimit_inv_comp_π, CategoryTheory.SimplicialObject.equivalenceRightToLeft_left, CategoryTheory.CategoryOfElements.costructuredArrowYonedaEquivalenceFunctorProj_hom_app, CategoryTheory.uliftCoyonedaEquiv_naturality, CategoryTheory.Limits.opProdIsoCoprod_hom_fst_assoc, RingCat.moduleCatRestrictScalarsPseudofunctor_obj, CategoryTheory.cokernelUnopUnop_hom, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_add_unitIso_inv_app_eq, CategoryTheory.Functor.IsCoverDense.sheafCoyonedaHom_app, Bicategory.Opposite.unop2_comp, CategoryTheory.simplicialCosimplicialEquiv_unitIso_inv_app, AugmentedSimplexCategory.equivAugmentedSimplicialObject_unitIso_hom_app_app, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_map_toFunctor_obj_val_map, CategoryTheory.GrothendieckTopology.overMapPullbackComp_inv_app_val_app, CategoryTheory.uliftYonedaIsoYoneda_hom_app_app, CategoryTheory.Functor.FullyFaithful.compUliftYonedaCompWhiskeringLeft_hom_app_app_down, CategoryTheory.equivYoneda_inv_app, CategoryTheory.Pretriangulated.TriangleOpEquivalence.inverse_obj, CommMonCat.coyoneda_map_app, CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfOppositeRightAction_actionAssocIso, CategoryTheory.unop_inv_braiding, CategoryTheory.Limits.pullbackIsoUnopPushout_inv_fst_assoc, CategoryTheory.Limits.opProdIsoCoprod_inv_inr, AlgebraicGeometry.Spec.coe_toTop_map_hom_apply_asIdeal, AlgebraicGeometry.Scheme.Opens.toScheme_presheaf_map, CategoryTheory.ShortComplex.leftHomologyFunctorOpNatIso_hom_app, AugmentedSimplexCategory.equivAugmentedSimplicialObject_unitIso_inv_app_app, CategoryTheory.Functor.FullyFaithful.compUliftCoyonedaCompWhiskeringLeft_inv_app_app_down, LightCondensed.lanPresheafNatIso_hom_app, CategoryTheory.Limits.pushoutIsoOpPullback_inl_hom_assoc, smoothSheafCommRing.ι_forgetStalk_hom_apply, AlgebraicGeometry.stalkToFiberRingHom_germ, CategoryTheory.Functor.IsCoverDense.homOver_app, CategoryTheory.MonoidalCategory.DayConvolution.associatorCorepresentingIso_inv_app_app, CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfOppositeLeftAction_actionRight_unop, CategoryTheory.FunctorToTypes.rightAdj_obj_map_app, CategoryTheory.imageUnopOp_hom_comp_image_ι, CategoryTheory.Limits.limitUnopIsoUnopColimit_hom_comp_ι_assoc, CategoryTheory.Equivalence.sheafCongrPrecoherent_inverse_obj_val_map, CategoryTheory.Equivalence.sheafCongrPrecoherent_unitIso_hom_app_val_app, smoothSheafCommRing.ι_forgetStalk_hom_assoc, CategoryTheory.CommSq.LiftStruct.unop_l, CategoryTheory.Groupoid.invEquivalence_counitIso, CategoryTheory.HasLiftingProperty.iff_unop, CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyoneda_app_app, CategoryTheory.Square.opFunctor_map_τ₃, CategoryTheory.Functor.IsCoverDense.Types.presheafIso_hom_app, CategoryTheory.Limits.coconeLeftOpOfCone_ι_app, CategoryTheory.MorphismProperty.RightFraction.unop_f, CategoryTheory.Limits.π_comp_colimitRightOpIsoUnopLimit_inv, CategoryTheory.Limits.ι_comp_colimitUnopIsoOpLimit_hom_assoc, CategoryTheory.yonedaGrpObj_obj_coe, CategoryTheory.LocalizerMorphism.RightResolution.unop_w, CategoryTheory.Functor.leftOpComp_hom_app, CategoryTheory.Functor.RepresentableBy.uniqueUpToIso_inv, RingCat.moduleCatRestrictScalarsPseudofunctor_mapComp, CategoryTheory.Functor.sheafPushforwardContinuousCompSheafToPresheafIso_hom_app_app, CommMonCat.coyoneda_obj_obj_coe, CommRingCat.coyonedaUnique_inv_app_hom_apply, LightCondMod.epi_iff_locallySurjective_on_lightProfinite, TopCat.Presheaf.presheafEquivOfIso_counitIso_inv_app_app, CategoryTheory.Presieve.FamilyOfElements.isAmalgamation_map_localPreimage, AlgebraicGeometry.PresheafedSpace.Γ_map, CategoryTheory.Iso.unop_hom, unop_injective, CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfOppositeLeftAction_actionObj_unop, CategoryTheory.MonoidalClosed.internalHom_map, CategoryTheory.Limits.opProdIsoCoprod_hom_snd, CategoryTheory.Functor.closedSieves_map_coe, CategoryTheory.Functor.unopComp_inv_app, SimplicialObject.Splitting.IndexSet.epiComp_snd_coe, unop_op, CategoryTheory.Limits.PullbackCone.unop_pt, CategoryTheory.simplicialToCosimplicialAugmented_obj, CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionHom, CategoryTheory.MonoidalClosed.internalHom_obj, CategoryTheory.Functor.opComp_hom_app, CategoryTheory.cokernelOpUnop_hom, CategoryTheory.Equivalence.sheafCongrPreregular_inverse_obj_val_obj, CategoryTheory.Limits.widePushoutShapeUnop_map, CategoryTheory.kernel.ι_op, CategoryTheory.GrothendieckTopology.diagramNatTrans_app, AlgebraicGeometry.Scheme.Opens.mem_basicOpen_toScheme, CategoryTheory.prodOpEquiv_inverse_obj, SimplicialObject.Splitting.πSummand_comp_cofan_inj_id_comp_PInfty_eq_PInfty_assoc, CategoryTheory.unopUnop_map, HomotopicalAlgebra.fibration_unop_iff, SheafOfModules.pushforwardNatTrans_app_val_app, CategoryTheory.StructuredArrow.functor_obj, SimplicialObject.Split.natTransCofanInj_app, CategoryTheory.MonoidalCategory.dayConvolutionInternalHomDiagramFunctor_obj_map_app_app, CategoryTheory.Limits.whiskeringLimYonedaIsoCones_hom_app_app_app, CategoryTheory.Pretriangulated.commShiftIso_unopUnop_inv_app_assoc, CategoryTheory.Limits.ProductsFromFiniteCofiltered.finiteSubproductsCone_π_app, CategoryTheory.enrichedNatTransYoneda_obj, CondensedMod.epi_iff_locallySurjective_on_compHaus, CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_α, CategoryTheory.CosimplicialObject.Augmented.leftOp_left_obj, TopCat.Presheaf.germ_res'_assoc, AlgebraicGeometry.Scheme.Opens.ι_app_self, CategoryTheory.ShortComplex.LeftHomologyData.unop_Q, CategoryTheory.MonoidalCategory.MonoidalRightAction.oppositeRightAction_actionHomLeft, AlgebraicGeometry.ΓSpec.toSpecΓ_of, TopCat.toSheafCompHausLike_val_map, CategoryTheory.Functor.map_shift_unop_assoc, CategoryTheory.Functor.IsCoverDense.Types.presheafHom_app, AlgebraicGeometry.Scheme.Hom.naturality, CategoryTheory.Comma.opFunctorCompSnd_inv_app, CategoryTheory.Pretriangulated.Opposite.UnopUnopCommShift.iso_hom_app, CategoryTheory.yonedaCommGrpGrp_map_app, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_hom_app_assoc, CategoryTheory.Equivalence.sheafCongr.inverse_obj_val_map, AlgebraicGeometry.Proj.stalkIso'_germ, Bicategory.Opposite.bicategory_homCategory_id_unop2, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_inv_app_assoc, AlgebraicGeometry.SheafedSpace.Γ_obj, CategoryTheory.Arrow.cechNerve_map, CategoryTheory.LocalizerMorphism.RightResolution.unopFunctor_map_f, AlgebraicGeometry.Scheme.restrict_presheaf_map, CategoryTheory.Comon.MonOpOpToComonObj_X, CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitorCorepresentingIso_hom_app_app, CommGrpCat.coyonedaForget_inv_app_app, CategoryTheory.Sieve.natTransOfLe_app_coe, CommRingCat.coyonedaUnique_hom_app_hom_apply, Condensed.isoFinYoneda_hom_app, CategoryTheory.Pretriangulated.shift_unop_opShiftFunctorEquivalence_counitIso_hom_app, CategoryTheory.Limits.opProdIsoCoprod_inv_inr_assoc, CategoryTheory.MonoidalCategory.DayConvolution.associatorCorepresentingIso_hom_app_app, Bicategory.Opposite.unop2_id, CategoryTheory.Limits.FormalCoproduct.evalOp_obj_map, Profinite.NobelingProof.spanFunctorIsoIndexFunctor_inv_app, CategoryTheory.MonoidalCategory.dayConvolutionInternalHomDiagramFunctor_obj_obj_obj_map, CategoryTheory.Limits.Cofork.op_unop_π, CategoryTheory.Pretriangulated.Opposite.contractibleTriangleIso_inv_hom₂, SimplicialObject.Splitting.cofan_inj_πSummand_eq_zero_assoc, CategoryTheory.Functor.IsCoverDense.isoOver_inv_app, CommMonCat.coyonedaForget_hom_app_app_hom, CategoryTheory.Limits.limitOpIsoOpColimit_inv_comp_π, smoothSheaf.ι_evalHom, CategoryTheory.linearYoneda_obj_obj_isModule, CategoryTheory.Limits.isColimitOfConeOfCoconeRightOp_desc, AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapComp_inv_τl, HomotopicalAlgebra.instCofibrationUnopOfFibrationOpposite, smoothSheafCommRing.ι_evalHom_assoc, CategoryTheory.Limits.Cone.unop_pt, CategoryTheory.PresheafHom.IsSheafFor.app_cond, AddCommGrpCat.coyoneda_map_app, CategoryTheory.Limits.pullbackIsoOpPushout_hom_inr, ContinuousMap.yonedaPresheaf'_map, CategoryTheory.prodOpEquiv_functor_map, CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyoneda_inv_app_app, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompDropIso_inv_app_app, Bicategory.Opposite.bicategory_homCategory_comp_unop2, CategoryTheory.ShortComplex.rightHomologyFunctorOpNatIso_inv_app, CategoryTheory.Enriched.FunctorCategory.diagram_obj_map, CategoryTheory.IsPullback.unop, smoothSheaf.contMDiff_section, CategoryTheory.Limits.coneOfSectionCompCoyoneda_π, commBialgCatEquivComonCommAlgCat_inverse_obj, AlgebraicGeometry.Scheme.LocalRepresentability.yonedaGluedToSheaf_app_comp, SheafOfModules.pushforwardPushforwardEquivalence_unit_app_val_app, CategoryTheory.HasLiftingProperty.transfiniteComposition.sqFunctor_obj, smoothSheafCommRing.ι_forgetStalk_hom, CategoryTheory.GrothendieckTopology.overMapPullbackComp_hom_app_val_app, SimplicialObject.Splitting.comp_PInfty_eq_zero_iff, SSet.OneTruncation₂.ofNerve₂.natIso_inv_app_obj_map, CategoryTheory.Subfunctor.Subpresheaf.family_of_elements_compatible, CategoryTheory.Functor.LeibnizAdjunction.adj_unit_app_right, CategoryTheory.Limits.coconeEquivalenceOpConeOp_inverse_obj, CategoryTheory.OverPresheafAux.unitAuxAux_hom_app, CategoryTheory.simplicialCosimplicialEquiv_functor_obj_obj, TopCat.Presheaf.presheafEquivOfIso_counitIso_hom_app_app, CategoryTheory.Idempotents.DoldKan.Γ_map_app, HomologicalComplex.evalCompCoyonedaCorepresentableBySingle_homEquiv_apply, CategoryTheory.HasLiftingProperty.transfiniteComposition.wellOrderInductionData.map_lift, CategoryTheory.Limits.colimitYonedaHomIsoLimitOp_π_apply, AlgebraicTopology.DoldKan.Γ₂N₁.natTrans_app_f_app, CategoryTheory.WithInitial.opEquiv_functor_obj, CategoryTheory.ShiftedHom.opEquiv_symm_apply, CategoryTheory.prodOpEquiv_counitIso_hom_app, CategoryTheory.Limits.coconeEquivalenceOpConeOp_counitIso, CategoryTheory.prodOpEquiv_functor_obj, CategoryTheory.simplicialToCosimplicialAugmented_map_right, CategoryTheory.Sieve.functor_map_coe, CategoryTheory.Limits.opProdIsoCoprod_inv_inl_assoc, CategoryTheory.CosimplicialObject.Augmented.leftOp_hom_app, CategoryTheory.Presheaf.equalizerSieve_apply, CategoryTheory.Functor.RepresentableBy.equivUliftYonedaIso_apply, CategoryTheory.isoOpEquiv_apply, CategoryTheory.Functor.leftOp_map, SSet.stdSimplex.mem_nonDegenerate_iff_mono, CategoryTheory.OverPresheafAux.yonedaCollectionPresheafMap₁_app, CategoryTheory.oppositeShiftFunctorAdd'_hom_app, SimplicialObject.Splitting.σ_comp_πSummand_id_eq_zero, PresheafOfModules.pushforward_obj_map_apply', CategoryTheory.unop_hom_rightUnitor, CategoryTheory.Limits.walkingSpanOpEquiv_functor_obj, CategoryTheory.Presheaf.coconeOfRepresentable_ι_app, CategoryTheory.Limits.pushoutIsoOpPullback_inv_snd, CategoryTheory.nerve.ext_of_isThin_iff, Set.singleton_unop, HomologicalComplex.cyclesOpNatIso_hom_app, AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.zero_mem', HomotopicalAlgebra.cofibration_unop_iff, CategoryTheory.Under.opEquivOpOver_inverse_obj, CategoryTheory.PresheafHom.IsSheafFor.exists_app, CategoryTheory.CostructuredArrow.overEquivPresheafCostructuredArrow_functor_map_toOverCompCoyoneda, CategoryTheory.Limits.pullbackIsoOpPushout_inv_snd_assoc, CategoryTheory.Iso.unop_inv_hom_id_app, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapComp_hom_toNatTrans_app_val_app, TopCat.Presheaf.presheafEquivOfIso_inverse_obj_obj, CategoryTheory.Coyoneda.fullyFaithful_preimage, LightCondSet.topCatAdjunctionUnit_val_app, SSet.op_map, SimplicialObject.Splitting.IndexSet.eqId_iff_eq, CommGrpCat.coyonedaType_obj_map, CategoryTheory.HasLiftingProperty.transfiniteComposition.sqFunctor_map, CategoryTheory.GrothendieckTopology.yonedaULiftEquiv_symm_app_apply, CategoryTheory.unop_hom_braiding, CategoryTheory.GrothendieckTopology.ι_plusCompIso_hom, CategoryTheory.RetractArrow.unop_i_left, AlgebraicGeometry.Scheme.kerFunctor_obj, SSet.OneTruncation₂.nerveHomEquiv_apply, AlgebraicGeometry.Spec.toPresheafedSpace_map, CategoryTheory.Limits.π_comp_colimitRightOpIsoUnopLimit_inv_assoc, AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapId_hom_τl, commBialgCatEquivComonCommAlgCat_inverse_map_unop_hom, CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence_counitIso, CategoryTheory.unop_zsmul, SheafOfModules.pushforwardPushforwardAdj_counit_app_val_app, CategoryTheory.Presheaf.equalizerSieve_eq_top_iff, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_obj_left_map, AlgebraicGeometry.Scheme.Spec_obj, CategoryTheory.Equivalence.sheafCongr.inverse_map_val_app, CategoryTheory.Limits.isLimitOfCoconeUnopOfCone_lift, CategoryTheory.Under.opEquivOpOver_counitIso, CategoryTheory.MonoidalCategory.DayConvolutionUnit.rightUnitorCorepresentingIso_inv_app_app, CategoryTheory.Functor.opHom_map_app, CategoryTheory.Functor.cocones_map_app, AlgebraicGeometry.Spec.toLocallyRingedSpace_map, CategoryTheory.Functor.map_opShiftFunctorEquivalence_counitIso_inv_app_unop, CategoryTheory.GrothendieckTopology.yonedaULiftEquiv_symm_map, CategoryTheory.Limits.PushoutCocone.unop_pt, CategoryTheory.GrothendieckTopology.overMapPullbackCongr_hom_app_val_app, AddCommMonCat.coyoneda_obj_map, Bicategory.Opposite.bicategory_associator_inv_unop2, CategoryTheory.RetractArrow.unop_i_right, AlgebraicGeometry.Scheme.Modules.pushforwardCongr_inv_app_app, CategoryTheory.cones_map_app_app, CategoryTheory.Limits.limitLeftOpIsoUnopColimit_hom_comp_ι_assoc, CommGrpCat.coyoneda_obj_map, CompHausLike.LocallyConstant.incl_comap, LightCondensed.isoFinYoneda_hom_app, CategoryTheory.Pretriangulated.shiftFunctorCompIsoId_op_hom_app_assoc, CategoryTheory.coyonedaPairingExt_iff, CategoryTheory.Pretriangulated.preadditiveYoneda_shiftMap_apply, CategoryTheory.MonoidalCategory.MonoidalRightAction.oppositeRightAction_actionHom, AlgebraicGeometry.Scheme.Spec_map, CategoryTheory.Functor.map_opShiftFunctorEquivalence_unitIso_inv_app_unop_assoc, CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionHomLeft, AlgebraicGeometry.PresheafedSpace.GlueData.ιInvApp_π, TopCat.Presheaf.presheafEquivOfIso_functor_map_app, CategoryTheory.Equivalence.inverseFunctorObj'_inv_app, CategoryTheory.Enriched.FunctorCategory.enrichedComp_π, CategoryTheory.Equivalence.symmEquivInverse_obj_unitIso_inv, CategoryTheory.Pretriangulated.TriangleOpEquivalence.functor_map_hom₁, CategoryTheory.Iso.unop_op, AlgebraicGeometry.Scheme.Hom.map_appLE, CategoryTheory.Iso.unop_inv_hom_id_app_assoc, LightProfinite.proj_comp_transitionMapLE, CategoryTheory.Limits.π_comp_colimitUnopIsoOpLimit_inv_assoc, SheafOfModules.pushforwardNatTrans_app_val_app_apply, AlgebraicTopology.DoldKan.Γ₂_map_f_app, CategoryTheory.Pretriangulated.commShiftIso_unopUnop_hom_app, AddCommMonCat.coyonedaForget_hom_app_app_hom, CategoryTheory.ShortComplex.leftHomologyFunctorOpNatIso_inv_app, CategoryTheory.Functor.op_commShiftIso_hom_app, CategoryTheory.Groupoid.invEquivalence_unitIso, CategoryTheory.Limits.coconeEquivalenceOpConeOp_inverse_map_hom, CategoryTheory.Over.opEquivOpUnder_functor_map, CategoryTheory.PresheafHom.isAmalgamation_iff, CategoryTheory.Limits.SequentialProduct.functorMap_commSq_succ, CategoryTheory.Comon.monoidal_tensorUnit_comon_counit, CategoryTheory.cokernelUnopOp_inv, CategoryTheory.Limits.Fork.op_unop_ι, CategoryTheory.nerveMap_app, CategoryTheory.Limits.Cocone.unop_pt, CategoryTheory.Limits.ι_comp_colimitLeftOpIsoUnopLimit_hom_assoc, AlgebraicGeometry.LocallyRingedSpace.toΓSpecMapBasicOpen_eq, CategoryTheory.Pretriangulated.opShiftFunctorEquivalenceSymmHomEquiv_left_inv_assoc, CategoryTheory.uliftYonedaMap_app_apply, CategoryTheory.MonoidalCategory.dayConvolutionInternalHomDiagramFunctor_obj_obj_map_app, CategoryTheory.MonoidalCategory.MonoidalRightAction.oppositeRightAction_actionAssocIso, CategoryTheory.opEquiv_symm_apply, CategoryTheory.Limits.pullbackIsoOpPushout_hom_inl_assoc, CategoryTheory.orderDualEquivalence_inverse_obj, TopCat.Presheaf.toPushforwardOfIso_app, lightProfiniteToLightCondSetIsoTopCatToLightCondSet_inv_app_val_app_hom_hom, CategoryTheory.kernelOpOp_hom, AlgebraicGeometry.Scheme.Modules.pseudofunctor_map_r, CategoryTheory.cones_obj_obj, CategoryTheory.Functor.FullyFaithful.homNatIso_hom_app_down, CategoryTheory.SimplicialObject.augmentedCechNerve_map_left_app, CategoryTheory.Square.unop_X₄, CategoryTheory.CostructuredArrow.overEquivPresheafCostructuredArrow_inverse_map_toOverCompYoneda, SkyscraperPresheafFunctor.map'_app, CategoryTheory.Subobject.functor_map, CategoryTheory.Equivalence.sheafCongrPrecoherent_functor_map_val_app, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_left_map, CategoryTheory.Functor.leftOpRightOpEquiv_functor_map_app, CategoryTheory.yonedaGrp_map_app, AlgebraicGeometry.LocallyRingedSpace.toStalk_stalkMap_toΓSpec, CategoryTheory.Pretriangulated.commShiftIso_unopUnop_hom_app_assoc, CategoryTheory.HasLiftingProperty.transfiniteComposition.wellOrderInductionData.lift_f', CategoryTheory.Presheaf.compULiftYonedaIsoULiftYonedaCompLan.coconeApp_naturality, CategoryTheory.sheafHomSectionsEquiv_symm_apply_coe_apply, CategoryTheory.Limits.limitLeftOpIsoUnopColimit_inv_comp_π_assoc, CategoryTheory.ShortComplex.RightHomologyData.unop_H, CategoryTheory.unop_hom_associator, CategoryTheory.Limits.Cofork.unop_ι, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_app_spec, CategoryTheory.Join.opEquiv_functor_map_op_inclLeft, CategoryTheory.map_shrinkYonedaEquiv, SimpleGraph.componentComplFunctor_map, CategoryTheory.WithInitial.opEquiv_inverse_map, CategoryTheory.Equivalence.sheafCongr.functor_obj_val_obj, CategoryTheory.Under.opEquivOpOver_functor_map, CategoryTheory.Equivalence.sheafCongrPreregular_unitIso_inv_app_val_app, CategoryTheory.yonedaEquiv_symm_map, AlgebraicGeometry.Scheme.Hom.appLE_map, AlgebraicGeometry.LocallyRingedSpace.toΓSpecCBasicOpens_app, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_left_obj, CategoryTheory.Limits.pullbackIsoUnopPushout_inv_snd_assoc, AlgebraicGeometry.Proj.res_apply, CategoryTheory.CostructuredArrow.projectQuotient_factors, AlgebraicGeometry.StructureSheaf.comapₗ_eq_localRingHom, CategoryTheory.Sieve.toFunctor_app_coe, CategoryTheory.constantPresheafAdj_counit_app_app, CategoryTheory.Equivalence.sheafCongr.unitIso_inv_app_val_app, CategoryTheory.Limits.ι_comp_colimitLeftOpIsoUnopLimit_hom, AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapComp_inv_τr, CategoryTheory.Functor.reprW_hom_app, CategoryTheory.uliftCoyonedaEquiv_symm_map, CategoryTheory.Limits.Cone.extensions_app, CategoryTheory.imageUnopOp_inv_comp_op_factorThruImage, AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summand', CategoryTheory.Limits.limitLeftOpIsoUnopColimit_hom_comp_ι, CategoryTheory.Functor.map_opShiftFunctorEquivalence_counitIso_hom_app_unop_assoc, CategoryTheory.Equivalence.leftOp_functor_map, CondensedSet.epi_iff_locallySurjective_on_compHaus, CategoryTheory.Limits.FormalCoproduct.cech_obj, CategoryTheory.Functor.leibnizPullback_map_app, CategoryTheory.unop_tensorObj, HomologicalComplex.unopFunctor_map_f, Bicategory.Opposite.homCategory_id_unop2, CategoryTheory.StructuredArrow.toCostructuredArrow'_map, CategoryTheory.Square.opFunctor_map_τ₄, SSet.stdSimplex.objEquiv_symm_apply, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_hom_c_app, CategoryTheory.OverPresheafAux.OverArrows.map_val, CategoryTheory.RetractArrow.unop_r_left, CommRingCat.moduleCatRestrictScalarsPseudofunctor_obj, CategoryTheory.Equivalence.symmEquivInverse_obj_inverse, CategoryTheory.CostructuredArrow.unop_left_comp_underlyingIso_hom_unop, AlgebraicGeometry.StructureSheaf.const_apply, CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinset_obj_obj, CategoryTheory.Subfunctor.family_of_elements_compatible, CategoryTheory.GrothendieckTopology.uliftYoneda_obj_val_obj, CategoryTheory.uliftYonedaEquiv_symm_map_assoc, CategoryTheory.StructuredArrow.toCostructuredArrow'_obj, commBialgCatEquivComonCommAlgCat_counitIso_hom_app, Bicategory.Opposite.op2_id_unbop, CategoryTheory.Limits.pullbackIsoUnopPushout_hom_inr, CategoryTheory.Limits.opSpan_inv_app, CategoryTheory.unop_inv_rightUnitor, CategoryTheory.Limits.SequentialProduct.cone_π_app_comp_Pi_π_neg, AlgebraicGeometry.ProjectiveSpectrum.Proj.toOpen_toSpec_val_c_app, CategoryTheory.Limits.coyonedaCompLimIsoCones_hom_app_app, CategoryTheory.Functor.sheafPushforwardContinuousId'_hom_app_val_app, TopCat.subpresheafToTypes_obj, TopCat.Presheaf.submonoidPresheafOfStalk_obj, Condensed.isoFinYoneda_inv_app, CategoryTheory.Limits.FormalCoproduct.evalOp_obj_obj, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapId_inv_toNatTrans_app_val_app, CategoryTheory.unop_sub, SimplicialObject.Split.cofan_inj_naturality_symm, finGaloisGroupMap.map_comp, CommGrpCat.coyoneda_map_app, CategoryTheory.cocones_obj_obj, commBialgCatEquivComonCommAlgCat_functor_map_unop_hom, CategoryTheory.WithInitial.opEquiv_unitIso_hom_app, CategoryTheory.Abelian.subobjectIsoSubobjectOp_symm_apply, CategoryTheory.unop_hom_leftUnitor, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence_functor, CategoryTheory.Pretriangulated.TriangleOpEquivalence.inverse_map, CategoryTheory.Functor.CorepresentableBy.coyoneda_homEquiv, CategoryTheory.GrothendieckTopology.uliftYoneda_obj_val_map_down, equivToOpposite_symm_coe, SimplicialObject.Splitting.cofan_inj_comp_app_assoc, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_hom_app_eq, AlgebraicGeometry.structureSheafInType.smul_apply, CategoryTheory.prodOpEquiv_counitIso_inv_app, CategoryTheory.unop_associator, CategoryTheory.eComp_op_eq, CategoryTheory.Subfunctor.sieveOfSection_apply, CategoryTheory.Comon.MonOpOpToComonObj_comon_counit, CategoryTheory.GrothendieckTopology.pseudofunctorOver_mapId_hom_toNatTrans_app_val_app, CategoryTheory.preadditiveCoyoneda_obj, CategoryTheory.cosimplicialSimplicialEquiv_functor_obj_map, CategoryTheory.oppositeShiftFunctorAdd_hom_app, CategoryTheory.Limits.IsZero.unop, AlgebraicGeometry.Spec.toTop_obj_carrier, AlgebraicGeometry.PresheafedSpace.GlueData.snd_invApp_t_app', CategoryTheory.Pretriangulated.shift_unop_opShiftFunctorEquivalence_counitIso_inv_app, CategoryTheory.Pretriangulated.shift_opShiftFunctorEquivalenceSymmHomEquiv_unop, CategoryTheory.WithTerminal.opEquiv_unitIso_inv_app, CategoryTheory.Limits.PushoutCocone.unop_snd, CategoryTheory.isCoseparator_unop_iff, SheafOfModules.pushforwardPushforwardEquivalence_counit_app_val_app, CategoryTheory.MorphismProperty.RightFraction.unop_Y', AlgebraicGeometry.Scheme.IdealSheafData.subschemeFunctor_map, CategoryTheory.Limits.colimitCoyonedaHomIsoLimitLeftOp_π_apply, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_inv_app, AugmentedSimplexCategory.equivAugmentedSimplicialObject_inverse_obj_map, Condensed.locallyConstantIsoFinYoneda_hom_app, CategoryTheory.Functor.leibnizPullback_obj_obj, CategoryTheory.linearCoyoneda_obj_obj_isModule, CategoryTheory.ShortComplex.opFunctor_map, CategoryTheory.Functor.sheafPushforwardContinuousComp'_hom_app_val_app, CategoryTheory.GrothendieckTopology.overMapPullbackCongr_inv_app_val_app, CategoryTheory.Limits.limitUnopIsoUnopColimit_inv_comp_π, CategoryTheory.Subfunctor.Subpresheaf.ofSection_eq_range, CategoryTheory.Equivalence.sheafCongr.counitIso_inv_app_val_app, CategoryTheory.unop_whiskerLeft, CategoryTheory.Limits.opHomCompWhiskeringLimYonedaIsoCocones_inv_app_app, AlgebraicGeometry.LocallyRingedSpace.comp_c_app, CompHausLike.LocallyConstantModule.functorToPresheaves_obj_obj_isAddCommGroup, CategoryTheory.eqToHom_unop, TopCat.Presheaf.presheafEquivOfIso_functor_obj_map, AlgebraicGeometry.LocallyRingedSpace.toΓSpec_preimage_basicOpen_eq, CategoryTheory.unop_sum, CategoryTheory.Functor.map_opShiftFunctorEquivalence_unitIso_hom_app_unop, CategoryTheory.Sieve.toUliftFunctor_app_down_coe, CategoryTheory.Functor.homObjFunctor_obj, CategoryTheory.Functor.op_obj, CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionUnitIso, CategoryTheory.oppositeShiftFunctorAdd'_inv_app, CategoryTheory.Equivalence.symmEquivInverse_obj_unitIso_hom, CategoryTheory.Under.opEquivOpOver_inverse_map, SimplicialObject.Splitting.cofan_inj_eq_assoc, CategoryTheory.GrothendieckTopology.uliftYoneda_map_val_app_down, CategoryTheory.Presheaf.imageSieve_mem, TopCat.Presheaf.presheafEquivOfIso_inverse_map_app, CategoryTheory.Limits.Cocone.extensions_app, CategoryTheory.Comon.monoidal_tensorObj_comon_counit, CategoryTheory.orderDualEquivalence_inverse_map, CompHausLike.LocallyConstant.functorToPresheaves_obj_map, CategoryTheory.op_comp_unop, CategoryTheory.WithTerminal.opEquiv_functor_map, AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapId_inv_τl, CategoryTheory.CostructuredArrow.projectQuotient_mk, AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summand'_assoc, Quiver.Hom.unop_mk, Bicategory.Opposite.bicategory_rightUnitor_hom_unop2, CategoryTheory.CostructuredArrow.toStructuredArrow_map, CategoryTheory.Functor.unopComp_hom_app, CategoryTheory.OverPresheafAux.counitForward_val_fst, CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfOppositeRightAction_actionHomLeft_unop, commBialgCatEquivComonCommAlgCat_counitIso_inv_app, CategoryTheory.SimplicialObject.equivalenceLeftToRight_left_app, CategoryTheory.Limits.Fork.unop_π, AlgebraicGeometry.Scheme.Modules.pseudofunctor_mapId_inv_τr, CategoryTheory.presheafHom_map_app_op_mk_id, CategoryTheory.cokernelOpOp_inv, SSet.stdSimplex.face_singleton_compl, CategoryTheory.CategoryOfElements.fromCostructuredArrow_obj_fst, CategoryTheory.Limits.PushoutCocone.unop_fst, CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence.functor_obj_left_left_as, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_obj_left_obj, germ_skyscraperPresheafStalkOfSpecializes_hom, CategoryTheory.MonoidalCategory.dayConvolutionInternalHomDiagramFunctor_obj_obj_obj_obj, CategoryTheory.shrinkYonedaEquiv_symm_map, Bicategory.Opposite.bicategory_whiskerLeft_unop2, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_hom_app, CategoryTheory.CommSq.HasLift.iff_unop, CategoryTheory.unop_id, AddCommGrpCat.coyonedaType_map_app, CategoryTheory.Over.opEquivOpUnder_functor_obj, ModuleCat.ihom_ev_app, Bicategory.Opposite.bicategory_rightUnitor_inv_unop2, CategoryTheory.Yoneda.obj_map_id, SimplicialObject.Splitting.IndexSet.eqId_iff_len_le, CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyoneda_inv_app_app_val_app, AlgebraicGeometry.ΓSpec.toSpecΓ_unop, CategoryTheory.map_yonedaEquiv', CommMonCat.coyonedaType_map_app, CategoryTheory.CategoryOfElements.toCostructuredArrow_map, CategoryTheory.MonoidalCategory.MonoidalRightAction.oppositeRightAction_actionUnitIso, CategoryTheory.CategoryOfElements.costructuredArrowYonedaEquivalenceFunctorProj_inv_app, CategoryTheory.Pretriangulated.shift_opShiftFunctorEquivalenceSymmHomEquiv_unop_assoc, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_inv_naturality, CategoryTheory.simplicialCosimplicialEquiv_functor_obj_map, CategoryTheory.Pretriangulated.preadditiveCoyoneda_homologySequenceδ_apply, CategoryTheory.StructuredArrow.toCostructuredArrow_obj, classifyingSpaceUniversalCover_obj, CategoryTheory.ObjectProperty.unop_singleton, skyscraperPresheaf_map, CategoryTheory.isSeparator_unop_iff, StalkSkyscraperPresheafAdjunctionAuxs.toSkyscraperPresheaf_app, CategoryTheory.Pretriangulated.opShiftFunctorEquivalenceSymmHomEquiv_apply_assoc, CategoryTheory.Presheaf.compULiftYonedaIsoULiftYonedaCompLan.coconeApp_naturality_assoc, CategoryTheory.Limits.coconeLeftOpOfCone_pt, CategoryTheory.shrinkYonedaEquiv_shrinkYoneda_map, CategoryTheory.enrichedNatTransYoneda_map_app, CategoryTheory.yonedaGrp_naturality, CategoryTheory.WithTerminal.opEquiv_inverse_map, Subobject.presheaf_map, CategoryTheory.Equivalence.symmEquivInverse_map_app, CategoryTheory.Pretriangulated.shiftFunctorCompIsoId_op_inv_app_assoc, CategoryTheory.ShiftedHom.opEquiv'_add_symm, CategoryTheory.Functor.functorHomEquiv_symm_apply_app_app, SSet.stdSimplex.isoNerve_inv_app_apply, CategoryTheory.colimitYonedaHomEquiv_π_apply, CategoryTheory.Enriched.FunctorCategory.diagram_obj_obj, AlgebraicGeometry.PresheafedSpace.ofRestrict_c_app, CategoryTheory.Limits.SequentialProduct.functorMap_commSq, CategoryTheory.Comon.monoidal_tensorObj_comon_comul, CategoryTheory.uliftCoyonedaEquiv_comp, CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinsetObj_map, CategoryTheory.yonedaEquiv_symm_app_apply, AlgebraicGeometry.LocallyRingedSpace.Γ_obj, CategoryTheory.Limits.ι_comp_colimitUnopIsoOpLimit_hom, CategoryTheory.Functor.op_map, CategoryTheory.preadditiveYonedaObj_map, CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_inv_app_assoc, CategoryTheory.MonoidalCategory.dayConvolutionInternalHomDiagramFunctor_map_app_app_app, CategoryTheory.OverPresheafAux.counitForward_naturality₂, AddCommGrpCat.coyoneda_obj_map
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