grothendieckTopology 📖 | CompOp | 143 mathmath: TopCat.Sheaf.interUnionPullbackCone_snd, AlgebraicGeometry.ProjectiveSpectrum.Proj.awayToSection_apply, AlgebraicGeometry.Scheme.Modules.instFaithfulPresheafOfModulesToPresheafOfModules, AlgebraicGeometry.ΓSpec.locallyRingedSpaceAdjunction_counit_app, AlgebraicGeometry.StructureSheaf.globalSectionsIso_inv, Topology.IsOpenEmbedding.functor_isContinuous, AlgebraicGeometry.StructureSheaf.comap_id, AlgebraicGeometry.Scheme.Hom.instIsContinuousOpensOpensFunctorGrothendieckTopologyCarrierCarrierCommRingCat, AlgebraicGeometry.StructureSheaf.const_mul_rev, AlgebraicGeometry.StructureSheaf.comap_comp, AlgebraicGeometry.Spec.locallyRingedSpaceObj_presheaf_map, AlgebraicGeometry.StructureSheaf.const_self, pretopology_toGrothendieck, AlgebraicGeometry.Proj.pow_apply, AlgebraicGeometry.Spec_presheaf, AlgebraicGeometry.StructureSheaf.toOpen_comp_comap_apply, mayerVietorisSquare_X₃, AlgebraicGeometry.Proj.mul_apply, AlgebraicGeometry.StructureSheaf.comap_id', AlgebraicGeometry.StructureSheaf.const_add, TopologicalSpace.Opens.instIsContinuousCompGrothendieckTopology, AlgebraicGeometry.structureSheafInType.mul_apply, AlgebraicGeometry.StructureSheaf.exists_const, TopCat.Sheaf.pushforward_map, AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.structurePresheafInCommRing_obj_carrier, smoothSheaf.ι_evalHom_apply, AlgebraicGeometry.StructureSheaf.toOpen_comp_comap, AlgebraicGeometry.Spec.locallyRingedSpaceObj_presheaf', TopCat.Sheaf.interUnionPullbackCone_fst, AlgebraicGeometry.Scheme.Modules.toOpen_fromTildeΓ_app, AlgebraicGeometry.StructureSheaf.instIsLocalizedModuleObjOppositeOpensCarrierTopValStructureSheafInTypeOpBasicOpenPowersToOpenₗ, AlgebraicGeometry.Proj.one_apply, AlgebraicGeometry.StructureSheaf.to_basicOpen_epi, TopCat.Sheaf.id_app, AlgebraicGeometry.StructureSheaf.comap_const, AlgebraicGeometry.Proj.sub_apply, AlgebraicGeometry.instIsScalarTowerObjOppositeOpensCarrierTopValStructureSheafInType, smoothSheaf.ι_evalHom_assoc, AlgebraicGeometry.StructureSheaf.comap_apply, AlgebraicGeometry.StructureSheaf.toPushforwardStalkAlgHom_apply, AlgebraicGeometry.Scheme.ΓSpecIso_inv, AlgebraicGeometry.ΓSpec.locallyRingedSpaceAdjunction_counit_app', TopCat.Sheaf.extend_hom_app, AlgebraicGeometry.StructureSheaf.isLocalizedModule_toPushforwardStalkAlgHom_aux, AlgebraicGeometry.StructureSheaf.algebraMap_self_map, AlgebraicGeometry.Spec.map_appLE, pretopology_ofGrothendieck, AlgebraicGeometry.StructureSheaf.IsLocalization.to_basicOpen, TopCat.Sheaf.objSupIsoProdEqLocus_hom_fst, AlgebraicGeometry.StructureSheaf.toOpen_comp_comap_assoc, AlgebraicGeometry.StructureSheaf.const_mul_cancel, AlgebraicGeometry.ΓSpec.toOpen_comp_locallyRingedSpaceAdjunction_homEquiv_app, TopCat.Presheaf.stalk_mono_of_mono, TopCat.Sheaf.interUnionPullbackConeLift_right, AlgebraicGeometry.StructureSheaf.const_one, AlgebraicGeometry.StructureSheaf.globalSectionsIso_hom, AlgebraicGeometry.Scheme.Modules.toOpen_fromTildeΓ_app_assoc, AlgebraicGeometry.StructureSheaf.smul_const, AlgebraicGeometry.ΓSpec.unop_locallyRingedSpaceAdjunction_counit_app', mayerVietorisSquare_X₂, AlgebraicGeometry.StructureSheaf.isLocalizedModule_toPushforwardStalkAlgHom, Topology.IsUpperSet.isSheaf_of_isRightKanExtension, AlgebraicGeometry.StructureSheaf.const_zero, TopCat.Sheaf.comp_app, coe_mayerVietorisSquare_X₁, AlgebraicGeometry.Spec.sheafedSpaceMap_hom_c_app, TopCat.subsheafToTypes_val, AlgebraicGeometry.StructureSheaf.algebraMap_obj_top_bijective, TopCat.Sheaf.pushforward_obj_val, TopCat.Opens.coverDense_inducedFunctor, AlgebraicGeometry.Proj.zero_apply, TopCat.Sheaf.objSupIsoProdEqLocus_inv_snd, AlgebraicGeometry.StructureSheaf.const_algebraMap, compatiblePreserving_opens_map, IsOpenMap.coverPreserving, TopCat.Opens.coverDense_iff_isBasis, TopCat.Sheaf.interUnionPullbackConeLift_left, AlgebraicGeometry.structureSheafInType.add_apply, AlgebraicGeometry.Proj.add_apply, AlgebraicGeometry.stalkMap_toStalk_apply, AlgebraicGeometry.StructureSheaf.comapₗ_const, AlgebraicGeometry.StructureSheaf.algebraMap_germ_assoc, AlgebraicGeometry.StructureSheaf.res_apply, AlgebraicGeometry.instIsIsoModulesSpecOfCarrierFromTildeΓUnitOpensCarrierCarrierCommRingCatRingCatSheaf, AlgebraicGeometry.Scheme.AffineZariskiSite.instIsDenseSubsiteOpensCarrierCarrierCommRingCatGrothendieckTopologyGrothendieckTopologyToOpensFunctor, AlgebraicGeometry.StructureSheaf.algebraMap_germ, TopCat.Sheaf.objSupIsoProdEqLocus_hom_snd, AlgebraicGeometry.StructureSheaf.const_mul_cancel', TopCat.Sheaf.objSupIsoProdEqLocus_inv_eq_iff, TopCat.Presheaf.presieveOfCovering.mem_grothendieckTopology, AlgebraicGeometry.StructureSheaf.toOpenₗ_top_bijective, AlgebraicGeometry.StructureSheaf.comap_id_eq_map, AlgebraicGeometry.ΓSpec.toSpecΓ_of, AlgebraicGeometry.StructureSheaf.toOpen_germ, AlgebraicGeometry.Spec.locallyRingedSpaceObj_presheaf_map', AlgebraicGeometry.Scheme.Modules.instFullPresheafOfModulesToPresheafOfModules, AlgebraicGeometry.StructureSheaf.toPushforwardStalk_comp, TopCat.Sheaf.objSupIsoProdEqLocus_inv_fst, smoothSheaf.ι_evalHom, AlgebraicGeometry.StructureSheaf.toPushforwardStalk_comp_assoc, AlgebraicGeometry.StructureSheaf.toOpenₗ_eq_const, AlgebraicGeometry.StructureSheaf.res_const, mayerVietorisSquare'_toSquare, AlgebraicGeometry.ProjectiveSpectrum.Proj.awayToSection_germ, coe_mayerVietorisSquare_X₄, instIsContinuousOpensCarrierMapGrothendieckTopology, AlgebraicGeometry.StructureSheaf.comap_basicOpen, AlgebraicGeometry.tilde.toOpen_map_app_assoc, toPretopology_grothendieckTopology, AlgebraicGeometry.LocallyRingedSpace.SpecΓIdentity_hom_app, AlgebraicGeometry.instIsQuasicoherentOpensCarrierCarrierCommRingCatSpecTilde, AlgebraicGeometry.Spec.locallyRingedSpaceObj_presheaf, AlgebraicGeometry.structurePresheafInCommRingCat_obj_carrier, AlgebraicGeometry.StructureSheaf.instAwayObjOppositeOpensCarrierTopValStructureSheafInTypeOpBasicOpen, AlgebraicGeometry.Scheme.Modules.instIsRightAdjointPresheafOfModulesToPresheafOfModules, TopCat.Sheaf.eq_of_locally_eq_iff, AlgebraicGeometry.Scheme.AffineZariskiSite.instIsLocallyFullOpensToOpensFunctorGrothendieckTopologyCarrierCarrierCommRingCat, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_app_spec, coverPreserving_opens_map, AlgebraicGeometry.LocallyRingedSpace.toΓSpecCBasicOpens_app, AlgebraicGeometry.Proj.res_apply, TopCat.Presheaf.app_injective_iff_stalkFunctor_map_injective, AlgebraicGeometry.StructureSheaf.comapₗ_eq_localRingHom, AlgebraicGeometry.StructureSheaf.toOpen_res, AlgebraicGeometry.structurePresheafInModuleCat_obj_carrier, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_app_spec_assoc, AlgebraicGeometry.LocallyRingedSpace.toΓSpecCApp_spec, AlgebraicGeometry.StructureSheaf.const_mul, TopCat.Presheaf.isIso_iff_stalkFunctor_map_iso, TopCat.Sheaf.interUnionPullbackCone_pt, AlgebraicGeometry.LocallyRingedSpace.toΓSpecSheafedSpace_hom_c_app, AlgebraicGeometry.StructureSheaf.algebraMap_pushforward_stalk, AlgebraicGeometry.structureSheafInType.smul_apply, TopCat.Presheaf.mono_iff_stalk_mono, Topology.IsOpenEmbedding.compatiblePreserving, AlgebraicGeometry.StructureSheaf.algebraMap_germ_apply, AlgebraicGeometry.instIsIsoModulesSpecOfCarrierFromTildeΓFreeOpensCarrierCarrierCommRingCat, AlgebraicGeometry.Scheme.AffineZariskiSite.instIsCoverDenseOpensToOpensFunctorGrothendieckTopologyCarrierCarrierCommRingCat, AlgebraicGeometry.ΓSpec.toSpecΓ_unop, AlgebraicGeometry.LocallyRingedSpace.toΓSpecCApp_iff, AlgebraicGeometry.Spec.sheafedSpaceObj_presheaf, AlgebraicGeometry.Spec.map_app, AlgebraicGeometry.tilde.toOpen_map_app
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