len š | CompOp | 368 mathmath: SSet.OneTruncationā.nerveEquiv_apply, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_id_assoc, SSet.stdSimplex.objMk_bijective, SSet.Truncated.HomotopyCategory.BinaryProduct.iso_inv_toFunctor, Truncated.Ī“ā_two_comp_Ļā_one_assoc, SSet.stdSimplex.coe_triangle_down_toOrderHom, eq_const_of_zero, SimplexCategoryGenRel.toSimplexCategory_len, SSet.Truncated.tensor_map_apply_snd, SSet.oneTruncationā_obj, CategoryTheory.nerve.Ļ_obj, SSet.OneTruncationā.ofNerveā.natIso_hom_app_map, const_eq_id, CategoryTheory.nerve.instFullCatTruncatedOfNatNatNerveFunctorā, SSet.Truncated.sk.full, SSet.Truncated.HomotopyCategory.descOfTruncation_comp, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerve_hom_app, SSet.Truncated.mapHomotopyCategory_homMk, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_comp_assoc, CategoryTheory.Arrow.augmentedCechNerve_hom_app, SSet.instIsDiscreteHomotopyCategoryObjTruncatedOfNatNatTruncationSimplexCategoryStdSimplexMk, SSet.oneTruncationā_map, CategoryTheory.Arrow.mapCechNerve_app, eq_of_one_to_two, SSet.Truncated.Path.mkā_arrow, len_mk, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_map_mkHom_id_homMk, Truncated.Ī“ā_zero_comp_Ļā_zero, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā', SSet.OneTruncationā.nerveHomEquiv_id, CategoryTheory.nerve.functorOfNerveMap_map, SSet.Truncated.StrictSegal.spine_spineToSimplex, CategoryTheory.SimplicialObject.Truncated.whiskering_obj_obj_obj, SimplicialObject.Splitting.PInfty_comp_ĻSummand_id, const_comp, CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_Ļ_0_assoc, toMkā_apply_eq_zero_iff, toTopHomeo_symm_naturality, SSet.Truncated.sk_coreflective, SSet.S.equivElements_symm_apply_dim, SSet.Truncated.Edge.map_fst, Truncated.Hom.tr_comp, CategoryTheory.SimplicialObject.Truncated.whiskering_map_app_app, SSet.Truncated.HomotopyCategory.BinaryProduct.functorCompInverseIso_inv_app, CategoryTheory.SimplicialObject.Truncated.cosk.full, AugmentedSimplexCategory.eqToHom_toOrderHom, SSet.Truncated.Edge.CompStruct.dā, SSet.Truncated.liftOfStrictSegal.hĪ“'ā, SSet.Truncated.HomotopyCategory.BinaryProduct.functorCompInverseIso_hom_app, Truncated.Ī“ā_one_comp_Ļā_one, CategoryTheory.SimplicialObject.instIsRightKanExtensionOppositeTruncatedSimplexCategoryObjCoskAppTruncatedCounitCoskAdjTruncation, toTopHomeo_naturality_apply, SSet.stdSimplex.map_id, SimplicialObject.Splitting.cofan_inj_eq, SSet.Truncated.Path.map_arrow, Truncated.Ī“ā_zero_comp_Ī“ā_two_assoc, CategoryTheory.SimplicialObject.Truncated.cosk.faithful, const_subinterval_eq, CategoryTheory.CosimplicialObject.augment_hom_app, CategoryTheory.nerve.homEquiv_apply, SSet.Truncated.StrictSegal.spineToSimplex_spine, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand_assoc, SSet.Edge.ofTruncated_edge, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_comp_mapHomotopyCategory_fst, SSet.OneTruncationā.ofNerveā.natIso_inv_app_obj_obj, SSet.Truncated.HomotopyCategoryā.mk_surjective, len_le_of_mono, Hom.mk_toOrderHom_apply, CategoryTheory.SimplicialObject.Truncated.trunc_obj_obj, SimplicialObject.Splitting.IndexSet.eqId_iff_len_eq, CategoryTheory.CosimplicialObject.Truncated.whiskering_obj_obj_obj, CategoryTheory.SimplicialObject.Truncated.rightExtensionInclusion_hom_app, const_fac_thru_zero, SSet.Truncated.Edge.CompStruct.tensor_simplex_snd, SSet.stdSimplex.face_eq_ofSimplex, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_comp_mapHomotopyCategory_snd, eq_const_to_zero, Truncated.Hom.tr_comp', Truncated.Ī“ā_zero_eq_const, SSet.Truncated.Edge.id_tensor_id, SSet.prodStdSimplex.objEquiv_naturality, TopCat.toSSetObjāEquiv_symm_apply, toTop_obj, AlgebraicTopology.DoldKan.Īā_obj_p_app, toTop_map, Ī“_one_eq_const, SSet.Truncated.spine_map_subinterval, CategoryTheory.SimplicialObject.Truncated.rightExtensionInclusion_left, CategoryTheory.Arrow.cechNerve_obj, isIso_iff_of_epi, Truncated.Ī“ā_zero_comp_Ļā_zero_assoc, CategoryTheory.Nerve.instIsStrictSegalObjCatTruncatedOfNatNatNerveFunctorā, eq_of_one_to_two', toTopā_map, PartialOrder.mem_nerve_nonDegenerate_iff_injective, congr_toOrderHom_apply, CategoryTheory.nerve.mkā_homEquiv_apply, SSet.Truncated.liftOfStrictSegal.naturalityProperty_eq_top, CategoryTheory.CosimplicialObject.Truncated.whiskering_map_app_app, SSet.Truncated.HomotopyCategory.mk_surjective, ext_iff, SSet.horn_obj, SSet.Truncated.StrictSegal.spine_Ī“_arrow_lt, SSet.OneTruncationā.ofNerveā.natIso_hom_app_obj, toTopā_obj, isIso_iff_of_mono, CategoryTheory.SimplicialObject.isoCoskOfIsCoskeletal_hom, SSet.Truncated.id_app, SimplicialObject.Splitting.Ī¹Summand_comp_d_comp_ĻSummand_eq_zero, SSet.stdSimplex.face_obj, SSet.Truncated.HomotopyCategory.BinaryProduct.left_unitality, SSet.Truncated.spine_map_vertex, id_toOrderHom, SSet.Truncated.Edge.CompStruct.tensor_simplex_fst, classifyingSpaceUniversalCover_map, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerve_inv_app, SSet.Truncated.HomotopyCategory.BinaryProduct.inverseCompFunctorIso_inv_app, SSet.Truncated.Edge.map_associator_hom, len_le_of_epi, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā, SSet.Truncated.Edge.src_eq, SSet.Truncated.rightExtensionInclusion_right_as, toMkā_of_le_castSucc, SSet.stdSimplex.coe_edge_down_toOrderHom, toTopHomeo_symm_naturality_apply, Truncated.morphismProperty_eq_top, eqToHom_toOrderHom, CategoryTheory.SimplicialObject.Truncated.sk.full, SSet.OneTruncationā.nerveEquiv_symm_apply_map, SSet.Truncated.StrictSegal.spine_Ī“_arrow_gt, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_Ī“ā', SSet.stdSimplex.isoNerve_hom_app_apply, SSet.Truncated.StrictSegal.spineInjective, PartialOrder.mem_range_nerve_Ļ_iff, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_inv_Ļ_assoc, SimplicialObject.Splitting.ĻSummand_comp_cofan_inj_id_comp_PInfty_eq_PInfty, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_hom_Ļ_assoc, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_id, SSet.Truncated.HomotopyCategory.BinaryProduct.iso_hom_toFunctor, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_comp, CategoryTheory.SimplicialObject.augment_hom_app, CategoryTheory.SimplicialObject.isCoskeletal_iff, mono_iff_injective, Ī“_zero_eq_const, AlgebraicTopology.DoldKan.Īā.Obj.mapMono_on_summand_id, SimplicialObject.Split.cofan_inj_naturality_symm_assoc, CategoryTheory.CosimplicialObject.Truncated.whiskering_obj_map_app, SSet.Truncated.Edge.map_whiskerLeft, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_map_mkHom_homMk_id, Truncated.Hom.tr_id, SSet.const_app, TopCat.toSSetObjāEquiv_apply, SSet.Truncated.HomotopyCategory.BinaryProduct.mapHomotopyCategory_prod_id_comp_inverse, SSet.Truncated.Edge.map_snd, CategoryTheory.SimplicialObject.instIsIsoAppUnitTruncatedCoskAdj, SSet.StrictSegal.isPointwiseRightKanExtensionAt.fac_auxā, SSet.Truncated.HomotopyCategory.BinaryProduct.functor_comp_inverse, SSet.Truncated.HomotopyCategory.descOfTruncation_map_homMk, AlgebraicTopology.DoldKan.Īā_map_app, rev_map_apply, SSet.Truncated.Edge.exists_of_simplex, Truncated.Ī“ā_zero_comp_Ī“ā_two, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_map_mkHom_homMk_homMk, SSet.Truncated.Edge.map_id, CategoryTheory.SimplicialObject.Truncated.trunc_obj_map, SSet.Truncated.hoFunctorā_naturality, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā'_assoc, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_hom_Ļ, CategoryTheory.SimplicialObject.Truncated.rightExtensionInclusion_right_as, instReflectsIsomorphismsForgetOrderHomFinHAddNatLenOfNat, CategoryTheory.Arrow.mapCechConerve_app, SSet.Truncated.liftOfStrictSegal.hĻ'ā, Truncated.Ī“ā_zero_comp_Ļā_one_assoc, CategoryTheory.Limits.FormalCoproduct.cechFunctor_map_app, SSet.Truncated.StrictSegal.spineToSimplex_vertex, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_zero, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_comp_functor, Truncated.initial_inclusion, toTopHomeo_naturality, SSet.Truncated.StrictSegal.spine_Ī“_vertex_ge, Truncated.Ī“ā_one_eq_const, SSet.Truncated.StrictSegal.spineToSimplex_edge, SSet.Truncated.spine_arrow, SSet.StrictSegal.isPointwiseRightKanExtensionAt.fac_auxā, SSet.Truncated.liftOfStrictSegal.hĪ“'ā, PartialOrder.mem_nerve_nonDegenerate_iff_strictMono, Truncated.Ī“ā_one_comp_Ļā_zero, SSet.Truncated.HomotopyCategory.homToNerveMk_app_one, SSet.prodStdSimplex.objEquiv_map_apply, Truncated.Hom.ext_iff, SSet.Truncated.Edge.mk'_edge, SimplicialObject.Splitting.cofan_inj_comp_app, CategoryTheory.Limits.FormalCoproduct.instHasLimitWidePullbackShapeToTypeSimplexCategoryOrderHomFinHAddNatLenOfNatWideCospanObjInclFromIsTerminalIncl, AlgebraicTopology.DoldKan.Īā.map_app, SSet.Truncated.comp_app_assoc, SSet.Truncated.Edge.map_tensorHom, CategoryTheory.Limits.FormalCoproduct.cech_map, SSet.Truncated.StrictSegal.spineToSimplex_arrow, SSet.horn.edgeā_coe_down, SSet.Truncated.rightExtensionInclusion_left, SimplicialObject.Splitting.Ļ_comp_ĻSummand_id_eq_zero_assoc, SSet.stdSimplex.const_down_toOrderHom, SSet.Truncated.spine_vertex, CategoryTheory.SimplicialObject.Truncated.trunc_map_app, SSet.Truncated.mapHomotopyCategory_obj, SimplexCategoryGenRel.simplicialEvalĻ_of_isAdmissible, SimplicialObject.Splitting.PInfty_comp_ĻSummand_id_assoc, CategoryTheory.nerve_map, SSet.Truncated.Edge.map_edge, SSet.Truncated.Edge.id_edge, Truncated.Ī“ā_two_comp_Ļā_zero, CategoryTheory.nerve.Ī“_obj, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_inv_Ļ, SimplicialObject.Splitting.decomposition_id, SSet.Truncated.Path.arrow_src, SSet.spine_map_vertex, CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_Ļ_0, SSet.Truncated.liftOfStrictSegal_app_0, toMkā_apply, SSet.Truncated.HomotopyCategory.BinaryProduct.associativity'Iso_hom_app, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_eq_zero, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_naturality, SSet.horn.spineId_vertex_coe, mk_len, CategoryTheory.nerve_obj, SSet.Truncated.tensor_map_apply_fst, SSet.Truncated.HomotopyCategory.BinaryProduct.functor_obj, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand, SSet.horn.spineId_arrow_coe, CategoryTheory.SimplicialObject.equivalenceRightToLeft_left, CategoryTheory.SimplicialObject.IsCoskeletal.isRightKanExtension, const_apply, AugmentedSimplexCategory.inl'_eval, SSet.Truncated.Edge.tensor_edge, SSet.Truncated.Path.map_vertex, SSet.Truncated.cosk.faithful, SSet.Truncated.StrictSegal.spine_Ī“_arrow_eq, Truncated.Ī“ā_two_comp_Ļā_zero_assoc, SSet.Truncated.spine_surjective, CategoryTheory.SimplicialObject.Truncated.whiskering_obj_obj_map, CategoryTheory.SimplicialObject.Truncated.cosk_reflective, CategoryTheory.CosimplicialObject.equivalenceRightToLeft_right_app, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā_assoc, SSet.Subcomplex.liftPath_arrow_coe, SSet.Truncated.HomotopyCategory.BinaryProduct.square, SSet.Truncated.Pathā.arrow_tgt, SSet.Truncated.HomotopyCategory.BinaryProduct.inverseCompFunctorIso_hom_app, SSet.Truncated.HomotopyCategory.homToNerveMk_app_edge, SimplicialObject.Splitting.ĻSummand_comp_cofan_inj_id_comp_PInfty_eq_PInfty_assoc, SSet.Truncated.StrictSegal.spineToSimplex_interval, SSet.Truncated.hom_ext_iff, Truncated.Ī“ā_one_comp_Ļā_one_assoc, SimplicialObject.Split.natTransCofanInj_app, SSet.OneTruncationā.ofNerveā.natIso_inv_app_map, Truncated.Hom.tr_comp_assoc, toType_apply, SSet.Truncated.Path.arrow_tgt, toCat_obj, CategoryTheory.SimplicialObject.Truncated.sk_coreflective, CategoryTheory.Arrow.cechNerve_map, SSet.Truncated.trunc_spine, concreteCategoryHom_id, skeletalFunctor_obj, CategoryTheory.SimplicialObject.Truncated.sk.faithful, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_zero_assoc, SSet.Truncated.liftOfStrictSegal_app_1, SSet.Truncated.liftOfStrictSegal.hĪ“'ā, SSet.Truncated.cosk.full, CategoryTheory.Arrow.cechConerve_map, SSet.Truncated.HomotopyCategory.BinaryProduct.associativity, SSet.OneTruncationā.nerveEquiv_symm_apply_obj, SSet.Subcomplex.liftPath_vertex_coe, Truncated.Ī“ā_zero_comp_Ļā_one, SimplicialObject.Splitting.comp_PInfty_eq_zero_iff, toMkā_of_castSucc_lt, SSet.OneTruncationā.ofNerveā.natIso_inv_app_obj_map, CategoryTheory.Idempotents.DoldKan.Ī_map_app, SSet.Truncated.HomotopyCategory.BinaryProduct.right_unitality, SSet.Truncated.cosk_reflective, AlgebraicTopology.DoldKan.ĪāNā.natTrans_app_f_app, CategoryTheory.nerve.functorOfNerveMap_nerveFunctorā_map, comp_toOrderHom, CategoryTheory.SimplicialObject.instIsLeftKanExtensionOppositeTruncatedSimplexCategoryObjSkAppTruncatedUnitSkAdjTruncation, SimplicialObject.Splitting.Ļ_comp_ĻSummand_id_eq_zero, CategoryTheory.nerve.ext_of_isThin_iff, SSet.StrictSegal.isPointwiseRightKanExtensionAt.fac_auxā, len_eq_of_isIso, CategoryTheory.Arrow.cechConerve_obj, SSet.Truncated.Path.mkā_vertex, len_lt_of_mono, SSet.Truncated.IsStrictSegal.spine_bijective, SSet.OneTruncationā.nerveHomEquiv_apply, SSet.horn.primitiveEdge_coe_down, SSet.Truncated.HomotopyCategory.BinaryProduct.associativityIso_hom_app, SSet.Truncated.Edge.CompStruct.exists_of_simplex, skeletalFunctor_map, SSet.Truncated.HomotopyCategory.homToNerveMk_app_zero, SSet.Truncated.liftOfStrictSegal.hĻ'ā, SSet.Truncated.Edge.CompStruct.dā, SSet.Truncated.Edge.map_whiskerRight, SSet.Truncated.comp_app, AlgebraicTopology.DoldKan.Īā.Obj.mapMono_on_summand_id_assoc, SSet.Truncated.Edge.CompStruct.map_simplex, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_id, SSet.truncation_spine, CategoryTheory.CosimplicialObject.Truncated.whiskering_obj_obj_map, SSet.OneTruncationā.map_obj, AlgebraicTopology.DoldKan.Īā_map_f_app, SSet.Truncated.HomotopyCategory.homToNerveMk_comp, SSet.Truncated.HomotopyCategory.BinaryProduct.functor_map, CategoryTheory.SimplicialObject.isCoskeletal_iff_isIso, CategoryTheory.nerveMap_app, SSet.Truncated.rightExtensionInclusion_hom_app, CategoryTheory.SimplicialObject.augmentedCechNerve_map_left_app, CategoryTheory.nerve.functorOfNerveMap_obj, SSet.Truncated.Pathā.arrow_src, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_left_map, AugmentedSimplexCategory.inr'_eval, CategoryTheory.nerve.nerveFunctorā_map_functorOfNerveMap, Truncated.Ī“ā_one_comp_Ļā_zero_assoc, SSet.Truncated.Edge.CompStruct.dā, SSet.Truncated.HomotopyCategory.BinaryProduct.id_prod_mapHomotopyCategory_comp_inverse, Truncated.Ī“ā_two_comp_Ļā_one, SSet.OneTruncationā.id_edge, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_left_obj, SSet.Edge.toTruncated_id, toCat_map, eq_of_one_to_one, SSet.Truncated.sk.faithful, CategoryTheory.CosimplicialObject.equivalenceLeftToRight_right, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand', toMkā_apply_eq_one_iff, CategoryTheory.Limits.FormalCoproduct.cech_obj, SSet.stdSimplex.objEquiv_symm_apply, AlgebraicTopology.DoldKan.Īā_obj_termwise_mapMono_comp_PInfty_assoc, SSet.StrictSegal.instIsStrictSegalObjTruncatedHAddNatOfNatTruncationOfIsStrictSegal, SSet.Truncated.StrictSegal.spine_Ī“_vertex_lt, Truncated.Hom.tr_comp'_assoc, SSet.Truncated.HomotopyCategory.descOfTruncation_obj_mk, SimplicialObject.Split.cofan_inj_naturality_symm, II_obj, SimplicialObject.Splitting.cofan_inj_comp_app_assoc, epi_iff_surjective, exists_eq_const_of_zero, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_obj, Truncated.initial_incl, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_naturality_assoc, SSet.StrictSegal.isRightKanExtension, SSet.Truncated.IsStrictSegal.segal, AlgebraicTopology.DoldKan.Īā_obj_termwise_mapMono_comp_PInfty, SimplicialObject.Splitting.cofan_inj_eq_assoc, SSet.Truncated.HomotopyCategory.homToNerveMk_comp_assoc, CategoryTheory.nerve.instFaithfulCatTruncatedOfNatNatNerveFunctorā, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand'_assoc, CategoryTheory.SimplicialObject.equivalenceLeftToRight_left_app, SSet.Truncated.liftOfStrictSegal.spineEquiv_fā_arrow_one, SSet.Truncated.spine_injective, CategoryTheory.SimplicialObject.Truncated.whiskering_obj_map_app, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_hom_app, SSet.Edge.toTruncated_edge, SSet.Truncated.Edge.CompStruct.idCompId_simplex, SimplicialObject.Splitting.IndexSet.eqId_iff_len_le, classifyingSpaceUniversalCover_obj, CategoryTheory.Arrow.augmentedCechConerve_hom_app, SSet.Truncated.Edge.tgt_eq, SSet.stdSimplex.isoNerve_inv_app_apply, SSet.Truncated.liftOfStrictSegal.spineEquiv_fā_arrow_zero, SSet.Truncated.StrictSegal.spineToSimplex_map
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smallCategory š | CompOp | 1369 mathmath: SSet.OneTruncationā.nerveEquiv_apply, AlgebraicTopology.DoldKan.natTransPInfty_app, SSet.op_Ī“, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_id_assoc, CategoryTheory.SimplicialObject.id_left_app, SSet.stdSimplex.objMk_bijective, SSet.Subcomplex.lift_Ī¹, Ī“_comp_Ī“', SSet.Truncated.HomotopyCategory.BinaryProduct.iso_inv_toFunctor, SSet.RelativeMorphism.image_le, CategoryTheory.SimplicialObject.whiskering_obj_map_app, mkOfSucc_eq_id, SSet.Subcomplex.preimage_eq_top_iff, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“_self_assoc, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_counitIso_hom_app_left, Truncated.Ī“ā_two_comp_Ļā_one_assoc, instNonemptyCarrierObjTopCatToTopā, SSet.stdSimplex.mem_nonDegenerate_iff_strictMono, SSet.stdSimplex.coe_triangle_down_toOrderHom, CategoryTheory.SimplicialObject.Ī“_comp_Ī“_self_assoc, SSet.RelativeMorphism.botEquiv_symm_apply_map, SimplexCategoryGenRel.toSimplexCategory_len, CategoryTheory.CosimplicialObject.whiskering_obj_obj_obj, SSet.Truncated.tensor_map_apply_snd, SSet.Subcomplex.prod_top_le_unionProd, eq_id_of_isIso, CategoryTheory.CosimplicialObject.comp_app, SSet.oneTruncationā_obj, SSet.OneTruncationā.ofNerveā.natIso_hom_app_map, instSplitEpiCategory, SSet.PtSimplex.RelStruct.Ī“_map_of_lt, SSet.Subcomplex.toRange_Ī¹, SSet.Homotopy.congr_homologyMap_singularChainComplexFunctor, AlgebraicTopology.DoldKan.Ļ_comp_PInfty_assoc, SimplicialObject.Splitting.IndexSet.epiComp_fst, CategoryTheory.SimplicialObject.Ī“_comp_Ī“''_assoc, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“_self', const_eq_id, SSet.Subcomplex.prodIso_hom, AlgebraicTopology.NormalizedMooreComplex.obj_d, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_of_gt, CategoryTheory.nerve.instFullCatTruncatedOfNatNatNerveFunctorā, SSet.hornāā.desc.multicofork_Ļ_two, SSet.stdSimplex.Ī“_zero_eq_const, SkeletalFunctor.instEssSurjNonemptyFinLinOrdSkeletalFunctor, SimplicialObject.Splitting.IndexSet.id_fst, CategoryTheory.CosimplicialObject.id_right_app, AugmentedSimplexCategory.inr_comp_associator, SSet.Truncated.sk.full, SSet.Ī¹ā_snd_assoc, SSet.Truncated.HomotopyCategory.descOfTruncation_comp, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerve_hom_app, SSet.Subcomplex.mem_ofSimplex_obj_iff, AlgebraicTopology.DoldKan.Nā_map_f, SSet.Edge.CompStruct.exists_of_simplex, CategoryTheory.SimplicialThickening.SimplicialCategory.comp_id, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“''_assoc, SSet.degenerate_eq_top_of_hasDimensionLT, SSet.Subcomplex.mem_unionProd_iff, AlgebraicTopology.DoldKan.HigherFacesVanish.inclusionOfMooreComplexMap, SSet.Truncated.mapHomotopyCategory_homMk, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“_assoc, SSet.modelCategoryQuillen.I_le_monomorphisms, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_comp_assoc, CategoryTheory.SimplicialObject.Ļ_naturality_assoc, CategoryTheory.Arrow.augmentedCechNerve_hom_app, SSet.instIsDiscreteHomotopyCategoryObjTruncatedOfNatNatTruncationSimplexCategoryStdSimplexMk, SSet.oneTruncationā_map, SSet.horn.faceSingletonComplIso_inv_Ī¹_assoc, AlgebraicTopology.DoldKan.MorphComponents.preComp_a, CategoryTheory.SimplicialObject.whiskering_obj_obj_Ļ, CategoryTheory.Arrow.mapCechNerve_app, SSet.degenerate_iff_of_mono, CategoryTheory.SimplicialObject.comp_right, CategoryTheory.SimplicialObject.Augmented.point_map, SSet.stdSimplex.faceSingletonIso_zero_hom_comp_Ī¹_eq_Ī“, SSet.stdSimplex.Ī¹ā_whiskerLeft_toSSetObjI_Ī¼, AugmentedSimplexCategory.inclusion_obj, Ī“_comp_Ī“'', AugmentedSimplexCategory.equivAugmentedCosimplicialObject_inverse_map_app, image_Ī¹_eq, SSet.Ļ_mem_degenerate, SimplicialObject.Splitting.IndexSet.fac_pull_assoc, SSet.ofSimplex_le_skeleton, SSet.Subcomplex.fromPreimage_Ī¹_assoc, SSet.Subcomplex.toSSetFunctor_map, SSet.Subcomplex.unionProd.isPushout, SSet.iSup_subcomplexOfSimplex_prod_eq_top, SSet.Truncated.Path.mkā_arrow, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_map_mkHom_id_homMk, Truncated.Ī“ā_zero_comp_Ļā_zero, AlgebraicTopology.DoldKan.NāĪāToKaroubiIso_inv_app, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā', SSet.stdSimplex.objāEquiv_symm_apply, AugmentedSimplexCategory.whiskerLeft_id_star, SSet.OneTruncationā.nerveHomEquiv_id, SSet.finite_iSup_iff, AlgebraicTopology.DoldKan.identity_Nā, CategoryTheory.Limits.FormalCoproduct.cosimplicialObjectFunctor_obj_obj, CategoryTheory.nerve.functorOfNerveMap_map, SSet.opFunctorCompOpFunctorIso_inv_app_app, SSet.Truncated.StrictSegal.spine_spineToSimplex, CategoryTheory.SimplicialObject.Truncated.whiskering_obj_obj_obj, CategoryTheory.cosimplicialSimplicialEquiv_counitIso_hom_app_app, SimplicialObject.Splitting.PInfty_comp_ĻSummand_id, SSet.modelCategoryQuillen.mono_of_cofibration, SSet.hornāā.exists_desc, AlgebraicTopology.DoldKan.Īā.Obj.map_epi_on_summand_id_assoc, SSet.Subcomplex.range_eq_ofSimplex, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“', const_comp, CategoryTheory.CosimplicialObject.Augmented.leftOp_right, toMkā_apply_eq_zero_iff, SSet.spine_map_subinterval, SSet.PtSimplex.MulStruct.Ī“_map_of_gt, SSet.nonDegenerate_iff_of_mono, CategoryTheory.SimplicialObject.Homotopy.h_last_comp_Ī“_last_assoc, SSet.instHasDimensionLETensorUnitOfNatNat, Ī“_comp_Ļ_of_gt'_assoc, toTopHomeo_symm_naturality, CategoryTheory.SimplicialObject.Homotopy.h_succ_comp_Ī“_castSucc_of_lt, CategoryTheory.simplicialCosimplicialEquiv_counitIso_inv_app_app, SSet.tensorHom_app_apply, CategoryTheory.simplicialCosimplicialEquiv_inverse_map, CategoryTheory.SimplicialObject.Augmented.toArrow_map_right, SimplicialObject.opFunctor_obj_Ļ, SSet.Edge.map_id, SSet.Truncated.sk_coreflective, CategoryTheory.nerve.homEquiv_edgeMk_map_nerveMap, CategoryTheory.nerveFunctor.faithful, SSet.S.equivElements_symm_apply_dim, AugmentedSimplexCategory.inr_comp_inl_comp_associator, SSet.hoFunctor.preservesTerminal', CategoryTheory.Preadditive.DoldKan.equivalence_unitIso, SSet.prodStdSimplex.instHasDimensionLETensorObjObjSimplexCategoryStdSimplexMkHAddNat, SSet.Subcomplex.toImage_Ī¹, instFiniteHom, SSet.Truncated.Edge.map_fst, CategoryTheory.SimplicialObject.augment_left, instHasTerminal, AlgebraicTopology.DoldKan.instIsIsoFunctorSimplicialObjectKaroubiNatTrans, SSet.stdSimplex.objMkā_bijective, SimplexCategoryGenRel.isSplitEpi_toSimplexCategory_map_of_P_Ļ, SimplicialObject.Splitting.cofan_inj_epi_naturality_assoc, SSet.Subcomplex.image_obj, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_functor_obj_left, SSet.horn.yonedaEquiv_Ī¹, Truncated.Hom.tr_comp, instPathConnectedSpaceCarrierObjTopCatToTop, SSet.Subcomplex.range_eq_top, CategoryTheory.SimplicialObject.Homotopy.h_comp_Ļ_castSucc_of_le_assoc, AlgebraicTopology.AlternatingFaceMapComplex.Īµ_app_f_succ, CategoryTheory.SimplicialObject.Truncated.whiskering_map_app_app, SSet.Finite.instIsFinitelyPresentableObjSimplexCategoryStdSimplex, AugmentedSimplexCategory.inr_comp_inl_comp_associator_assoc, Ī“_comp_Ļ_self', CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s_comp_Ī“ā_assoc, SSet.Truncated.HomotopyCategory.BinaryProduct.functorCompInverseIso_inv_app, instIsLeftKanExtensionSimplexCategoryTopCatSSetToTopInvFunctorToTopSimplex, CategoryTheory.SimplicialObject.Truncated.cosk.full, SSet.hornāā.desc.multicofork_Ļ_one, CategoryTheory.SimplicialObject.Homotopy.h_comp_Ļ_castSucc_of_le, SSet.yonedaEquiv_symm_zero, SSet.Subcomplex.topIso_inv_app_coe, SSet.prodStdSimplex.orderHomOfSimplex_coe, SSet.hornāā.Ī¹ā_desc, CategoryTheory.CosimplicialObject.Ļ_naturality_assoc, CategoryTheory.SimplicialObject.Homotopy.h_last_comp_Ī“_last, AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex_inv, SimplicialObject.opFunctor_obj_map, SimplicialObject.Split.forget_obj, CategoryTheory.Arrow.mapAugmentedCechNerve_left, SSet.prodStdSimplex.nonDegenerateEquivā_snd, AugmentedSimplexCategory.eqToHom_toOrderHom, Ī“_comp_Ī“_self', SSet.Subcomplex.homOfLE_refl, CategoryTheory.Preadditive.DoldKan.equivalence_functor, SSet.Truncated.Edge.CompStruct.dā, SSet.opFunctorCompOpFunctorIso_hom_app_app, AlgebraicTopology.DoldKan.HigherFacesVanish.comp_Ļ, SSet.Truncated.liftOfStrictSegal.hĪ“'ā, CategoryTheory.SimplicialObject.Augmented.wā, SSet.Truncated.HomotopyCategory.BinaryProduct.functorCompInverseIso_hom_app, AlgebraicTopology.AlternatingCofaceMapComplex.d_eq_unop_d, SSet.Subcomplex.toRange_app_val, Truncated.Ī“ā_one_comp_Ļā_one, CategoryTheory.SimplicialObject.Ļ_naturality, CategoryTheory.SimplicialObject.instIsRightKanExtensionOppositeTruncatedSimplexCategoryObjCoskAppTruncatedCounitCoskAdjTruncation, SSet.hasDimensionLT_prod, toTopHomeo_naturality_apply, SSet.instIsStableUnderFilteredColimitsMonomorphisms, SSet.StrictSegalCore.map_mkOfSucc_zero_concat, SSet.Subcomplex.toRange_Ī¹_assoc, CategoryTheory.CosimplicialObject.eqToIso_refl, SSet.RelativeMorphism.Homotopy.hā_assoc, SSet.Subcomplex.unionProd.image_Ī²_inv, AugmentedSimplexCategory.equivAugmentedSimplicialObject_inverse_map_app, CategoryTheory.SimplicialObject.Augmented.toArrow_map_left, AlgebraicTopology.alternatingFaceMapComplex_obj_d, instIsLeftAdjointSSetTopCatToTop, revEquivalence_unitIso, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s'_comp_Īµ, SSet.prodStdSimplex.objEquiv_apply_fst, SSet.stdSimplex.map_id, SSet.Subcomplex.lift_Ī¹_assoc, SimplicialObject.Splitting.cofan_inj_eq, SSet.Homotopy.hā_assoc, SSet.Truncated.Path.map_arrow, CategoryTheory.SimplicialObject.Augmented.toArrow_obj_left, Truncated.Ī“ā_zero_comp_Ī“ā_two_assoc, SSet.exists_nonDegenerate, CategoryTheory.Limits.FormalCoproduct.cechIsoAugmentedCechNerve_hom_left, CategoryTheory.SimplicialObject.Truncated.cosk.faithful, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompPointIso_hom_app, SSet.Subcomplex.lift_app_coe, const_subinterval_eq, SimplicialObject.Split.forget_map, SSet.modelCategoryQuillen.fibrations_eq, CategoryTheory.CosimplicialObject.augment_hom_app, SSet.Subcomplex.unionProd.symmIso_inv, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_succ'_assoc, CategoryTheory.SimplicialObject.Ī“_def, SSet.modelCategoryQuillen.cofibrations_eq, Ļ_injective, SimplicialObject.Split.comp_F, SSet.opEquivalence_inverse, SSet.Truncated.StrictSegal.spineToSimplex_spine, II_Ļ, SSet.stdSimplex.objMkā_surjective, SSet.Subcomplex.degenerate_eq_top_iff, AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex_f, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand_assoc, SSet.instFiniteTensorUnit, SSet.Edge.ofTruncated_edge, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_comp_mapHomotopyCategory_fst, Ī“_comp_Ļ_self_assoc, AlgebraicTopology.DoldKan.PInfty_f_naturality_assoc, SSet.hornāā.sq, AlgebraicTopology.DoldKan.instIsIsoFunctorKaroubiSimplicialObjectNatTrans, SSet.iSup_skeleton, SSet.OneTruncationā.ofNerveā.natIso_inv_app_obj_obj, SSet.nonDegenerateEquivOfIso_symm_apply_coe, AlgebraicTopology.DoldKan.Nā_obj_p, SSet.Subcomplex.image_id, SimplicialObject.opFunctor_map_app, CategoryTheory.Limits.FormalCoproduct.cochainComplexFunctor_map_f, CategoryTheory.Preadditive.DoldKan.equivalence_counitIso, SSet.Truncated.HomotopyCategoryā.mk_surjective, SSet.spine_vertex, CategoryTheory.SimplicialObject.Ī“_comp_Ī“_assoc, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.const_s', AlgebraicTopology.DoldKan.comp_P_eq_self_iff, Ī“_zero_mkOfSucc, SSet.Subcomplex.preimage_min, SSet.Subcomplex.eq_top_iff_of_hasDimensionLT, SSet.stdSimplex.ext_iff, SSet.Ī“_naturality_apply, CategoryTheory.SimplicialObject.Truncated.trunc_obj_obj, SSet.mem_degenerate_iff_notMem_nonDegenerate, SimplicialObject.Splitting.IndexSet.eqId_iff_len_eq, SSet.opFunctor_map, SimplicialObject.Splitting.IndexSet.ext', CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_self', SSet.Subcomplex.toImage_Ī¹_assoc, CategoryTheory.CosimplicialObject.Truncated.whiskering_obj_obj_obj, SSet.Subcomplex.topIso_inv_Ī¹, SSet.prodStdSimplex.strictMono_orderHomOfSimplex_iff, CategoryTheory.SimplicialObject.Truncated.rightExtensionInclusion_hom_app, const_fac_thru_zero, sSetTopAdj_homEquiv_stdSimplex_zero, SSet.hornāā.Ī¹ā_desc_assoc, SSet.prod_Ī“_snd, SSet.Subcomplex.ofSimplexProd_eq_range, SSet.Truncated.Edge.CompStruct.tensor_simplex_snd, Ī“_comp_Ļ_succ_assoc, SSet.stdSimplex.face_eq_ofSimplex, SSet.PtSimplex.RelStruct.Ī“_castSucc_map, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_self_assoc, SSet.prod_Ļ_fst, SSet.stdSimplex.objāEquiv_apply, SSet.hornāā.desc.multicofork_pt, AlgebraicTopology.AlternatingFaceMapComplex.map_f, Ī“_comp_Ī“_self, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_comp_mapHomotopyCategory_snd, SSet.skeleton_le_skeletonOfMono, SSet.prodStdSimplex.objEquiv_Ī“_apply, mkOfSucc_subinterval_eq, CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_inv_right, AlgebraicTopology.karoubi_alternatingFaceMapComplex_d, SSet.op_Ļ, Truncated.Hom.tr_comp', AugmentedSimplexCategory.equivAugmentedCosimplicialObject_inverse_obj_map, CategoryTheory.CosimplicialObject.id_app, CategoryTheory.SimplicialObject.hom_ext_iff, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso_inv_app_left, SSet.horn.faceSingletonComplIso_inv_Ī¹, SSet.Subcomplex.toSSetFunctor_obj, Ī“_comp_Ļ_of_gt', AlgebraicTopology.alternatingFaceMapComplex_map_f, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s_comp_Ī“, SSet.hasDimensionLT_subcomplex_top_iff, instSubsingletonHomMkOfNatNat, SSet.stdSimplex.Ī“_zero_toSSetObjI, SSet.Truncated.Edge.id_tensor_id, SSet.hornāā.Ī¹ā_desc_assoc, SSet.Subcomplex.instSubsingletonHomToSSetBot, AugmentedSimplexCategory.instHasInitial, SSet.instBalanced, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_inverse_obj_obj, SSet.Subcomplex.unionProd.image_Ī²_hom, SimplicialObject.Splitting.IndexSet.mk_snd_coe, SSet.prodStdSimplex.objEquiv_naturality, TopCat.toSSetObjāEquiv_symm_apply, CategoryTheory.SimplicialObject.Augmented.const_obj_hom, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompPointIso_inv_app, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompPointIso_hom_app, toTop_obj, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“, SSet.modelCategoryQuillen.instHasLiftingPropertyĪ¹HornHAddNatOfNatOfFibration, CategoryTheory.Idempotents.DoldKan.hĪµ, SSet.stdSimplex.spineId_arrow_apply_zero, SSet.prod_Ī“_fst, SSet.comp_app_assoc, SSet.nonDegenerate_eq_bot_of_hasDimensionLT, CategoryTheory.Limits.FormalCoproduct.cechIsoAugmentedCechNerve_inv_left, AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex_homotopyHomInvId, SimplicialObject.opEquivalence_counitIso, CategoryTheory.CosimplicialObject.comp_right_app, CategoryTheory.SimplicialObject.Augmented.whiskering_map_app_right, AlgebraicTopology.DoldKan.MorphComponents.preComp_b, CategoryTheory.CosimplicialObject.Ļ_naturality, AlgebraicTopology.DoldKan.Īā_obj_p_app, eq_Ļ_comp_of_not_injective, toTop_map, instPathConnectedSpaceCarrierObjTopCatToTopā, SSet.Subcomplex.eqToIso_hom, SSet.yonedaEquiv_symm_comp, SSet.Truncated.spine_map_subinterval, SSet.Subcomplex.eq_top_iff_contains_nonDegenerate, SSet.stdSimplex.range_Ī“, SSet.PtSimplex.RelStruct.Ī“_castSucc_map_assoc, AlgebraicTopology.DoldKan.HigherFacesVanish.comp_Ī“_eq_zero_assoc, AlgebraicTopology.AlternatingFaceMapComplex.d_squared, CategoryTheory.Idempotents.DoldKan.Nā_map_isoĪā_hom_app_f, SSet.PtSimplex.MulStruct.Ī“_succ_succ_map_assoc, CategoryTheory.simplicialToCosimplicialAugmented_map_left, SimplexCategoryGenRel.toSimplexCategory_map_Ļ, CategoryTheory.SimplicialObject.Truncated.rightExtensionInclusion_left, SSet.stdSimplex.objMkā_apply, CategoryTheory.Arrow.cechNerve_obj, isIso_iff_of_epi, SSet.instFiniteElemObjOppositeSimplexCategoryOpMkNonDegenerateOfFinite, SSet.id_app, SSet.spine_arrow, SSet.instFiniteTensorObj, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_self'_assoc, SSet.stdSimplex.Ī“_objEquiv_symm_apply, CategoryTheory.SimplicialObject.Homotopy.h_comp_Ļ_succ_of_lt_assoc, SimplicialObject.Splitting.IndexSet.eqId_iff_mono, SSet.RelativeMorphism.ofSimplexā_map, AlgebraicTopology.DoldKan.map_HĻ, SSet.stdSimplex.toSSetObj_app_const_zero, Truncated.Ī“ā_zero_comp_Ļā_zero_assoc, SSet.stdSimplex.Ī¹ā_whiskerLeft_toSSetObjI_Ī¼_assoc, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_functor_map_left, CategoryTheory.Nerve.instIsStrictSegalObjCatTruncatedOfNatNatNerveFunctorā, PartialOrder.mem_nerve_degenerate_of_eq, AlgebraicTopology.DoldKan.compatibility_ĪāNā_ĪāNā_natTrans, SSet.Augmented.stdSimplex_map_right, SSet.Subcomplex.preimage_range, SSet.Subcomplex.toImage_app_coe, SSet.PtSimplex.MulStruct.Ī“_succ_succ_map, SSet.Subcomplex.homOfLE_comp_assoc, toTopā_map, AugmentedSimplexCategory.inl_comp_inl_comp_associator_assoc, PartialOrder.mem_nerve_nonDegenerate_iff_injective, toMkāEquiv_apply, SSet.prodStdSimplex.objEquiv_apply_snd, SSet.Subcomplex.unionProd.symmIso_hom, SSet.Subcomplex.instEpiToImage, SSet.hoFunctor.unitHomEquiv_eq, AlgebraicTopology.DoldKan.Īā_obj_map, CategoryTheory.cosimplicialSimplicialEquiv_functor_obj_obj, SSet.S.mk_map_eq_iff_of_mono, SSet.Subcomplex.image_le_iff, CategoryTheory.SimplicialObject.Augmented.const_map_left, CategoryTheory.simplicialCosimplicialEquiv_unitIso_hom_app, mkOfSucc_Ī“_lt, AlgebraicTopology.DoldKan.NāĪā_hom_app_f_f, SSet.Augmented.stdSimplex_obj_left, SSet.hom_ext_iff, SSet.instIsStableUnderCoproductsMonomorphismsOfHasCoproductsType, SSet.Edge.exists_of_simplex, SSet.Truncated.liftOfStrictSegal.naturalityProperty_eq_top, SSet.stdSimplex.Ļ_objMkā_of_le, CategoryTheory.SimplicialObject.Augmented.const_obj_right, SSet.S.le_iff, AlgebraicTopology.DoldKan.inclusionOfMooreComplexMap_comp_PInfty_assoc, SSet.hasDimensionLT_iff, CategoryTheory.nerveMap_app_mkā, AugmentedSimplexCategory.equivAugmentedSimplicialObject_inverse_obj_obj, CategoryTheory.SimplicialObject.augmentOfIsTerminal_hom_app, SSet.stdSimplex.faceSingletonIso_zero_hom_comp_Ī¹_eq_Ī“_assoc, CategoryTheory.CosimplicialObject.Truncated.whiskering_map_app_app, CategoryTheory.Idempotents.instIsIdempotentCompleteSimplicialObject, instHasStrongEpiImages, CategoryTheory.Idempotents.DoldKan.equivalence_counitIso, isIso_of_bijective, SSet.instFiniteObjOppositeSimplexCategoryTensorObj, AugmentedSimplexCategory.tensorObj_hom_ext_iff, SSet.hornāā.desc.multicofork_Ļ_two_assoc, eq_id_of_epi, SSet.Ī¹ā_app_snd_apply, AlgebraicTopology.DoldKan.ĪāNāToKaroubiIso_hom_app, SSet.stdSimplex.objMkā_injective, CategoryTheory.simplicialCosimplicialEquiv_counitIso_hom_app_app, AlgebraicTopology.DoldKan.HigherFacesVanish.comp_HĻ_eq_zero, AugmentedSimplexCategory.inr_comp_associator_assoc, CategoryTheory.SimplicialObject.augmentOfIsTerminal_left, CategoryTheory.SimplicialObject.Ī“_naturality, SSet.horn.spineId_map_hornInclusion, SSet.Truncated.HomotopyCategory.mk_surjective, isSkeletonOf, SSet.instFiniteCoprod, SSet.hornāā.desc.multicofork_Ļ_zero_assoc, SSet.Subcomplex.image_monotone, SSet.horn_obj, AugmentedSimplexCategory.instFullSimplexCategoryInclusion, SSet.finite_of_isColimit, instNonemptyCarrierObjTopCatToTop, SSet.Truncated.StrictSegal.spine_Ī“_arrow_lt, CategoryTheory.SimplicialObject.Ļ_def, SSet.leftUnitor_inv_app_apply, SSet.Ī¹ā_fst_assoc, SSet.Ī¹ā_comp, SSet.skeleton_obj_eq_top, SSet.Subcomplex.yonedaEquiv_coe, SSet.Augmented.StandardSimplex.nonempty_extraDegeneracy_stdSimplex, CategoryTheory.hoFunctor.preservesFiniteProducts, CategoryTheory.CosimplicialObject.Augmented.leftOp_left_map, SimplicialObject.Splitting.IndexSet.mk_fst, SSet.OneTruncationā.ofNerveā.natIso_hom_app_obj, SSet.Subcomplex.homOfLE_Ī¹_assoc, AlgebraicTopology.DoldKan.PInfty_comp_map_mono_eq_zero, toTopā_obj, isIso_iff_of_mono, SSet.instFiniteObjOppositeSimplexCategoryOfFinite, CategoryTheory.cosimplicialSimplicialEquiv_inverse_obj, SSet.isIso_of_nonDegenerate, Ī“_comp_Ļ_of_le, CategoryTheory.SimplicialObject.isoCoskOfIsCoskeletal_hom, SSet.RelativeMorphism.le_preimage, SSet.prod_map_fst, CategoryTheory.CosimplicialObject.Ī“_naturality_assoc, SSet.Truncated.id_app, SSet.RelativeMorphism.map_eq_of_mem, SSet.whiskerRight_app_apply, SimplicialObject.Splitting.Ī¹Summand_comp_d_comp_ĻSummand_eq_zero, Ļ_comp_Ļ_assoc, SSet.Subcomplex.unionProd.Ī¹ā_Ī¹, SSet.StrictSegal.spineToSimplex_map, SSet.rightUnitor_inv_app_apply, SSet.stdSimplex.face_obj, SSet.stdSimplex.nonDegenerateEquiv_apply_apply, SSet.Truncated.HomotopyCategory.BinaryProduct.left_unitality, SSet.modelCategoryQuillen.horn_Ī¹_mem_J, CategoryTheory.hoFunctor.isIso_prodComparison_of_stdSimplex, factor_Ī“_spec, SSet.stdSimplex.map_apply, SSet.instHasDimensionLTToSSetBotSubcomplex, AlgebraicTopology.AlternatingFaceMapComplex.Īµ_app_f_zero, rev_map_Ī“, SSet.Truncated.spine_map_vertex, id_toOrderHom, SSet.Ī¹ā_snd, SSet.Truncated.Edge.CompStruct.tensor_simplex_fst, SSet.PtSimplex.MulStruct.Ī“_succ_castSucc_map, SSet.Homotopy.hā, classifyingSpaceUniversalCover_map, CategoryTheory.hoFunctor.instIsLeftAdjointSSetCatHoFunctor, SSet.StrictSegal.spineInjective, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerve_inv_app, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_succ_assoc, SSet.degenerate_le_preimage, SSet.Truncated.HomotopyCategory.BinaryProduct.inverseCompFunctorIso_inv_app, SSet.Subcomplex.mem_nonDegenerate_iff, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso_hom_app_right, toCat.obj_eq_Fin, CategoryTheory.SimplicialObject.instHasLimitsOfShape, SSet.RelativeMorphism.botEquiv_apply, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_of_gt_assoc, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.sā_comp_Ī“ā_assoc, SSet.mem_skeleton_obj_iff_of_nonDegenerate, AlgebraicTopology.inclusionOfMooreComplex_app, SSet.StrictSegal.spineToSimplex_interval, AlgebraicTopology.DoldKan.Īā_obj_X_map, SimplicialObject.Splitting.toKaroubiNondegComplexIsoNā_inv_f_f, SSet.Subcomplex.image_comp, SSet.Truncated.Edge.map_associator_hom, CategoryTheory.SimplicialObject.augment_right, SSet.stdSimplex.yonedaEquiv_symm_app_objEquiv_symm, CategoryTheory.SimplicialObject.augment_hom_zero, SSet.degenerate_zero, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_of_gt'_assoc, AlgebraicTopology.AlternatingCofaceMapComplex.d_squared, SSet.hornāā.sq, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā, SSet.hornāā.exists_desc, SSet.Truncated.Edge.src_eq, AugmentedSimplexCategory.equivAugmentedSimplicialObject_counitIso_inv_app_left_app, SSet.stdSimplex.mem_face_iff, CategoryTheory.SimplicialObject.Augmented.rightOp_right_map, SSet.hoFunctor.preservesTerminal, SSet.Truncated.rightExtensionInclusion_right_as, CategoryTheory.Idempotents.DoldKan.equivalence_inverse, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_succ'_assoc, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“_self'_assoc, CategoryTheory.SimplicialThickening.functor_map, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_of_le, toMkā_of_le_castSucc, SimplexCategoryGenRel.toSimplexCategory_obj_mk, eq_comp_Ī“_of_not_surjective', SSet.stdSimplex.coe_edge_down_toOrderHom, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.section_app_comp_hom_app, CategoryTheory.SimplicialObject.Ī“_comp_Ī“'_assoc, AlgebraicTopology.DoldKan.NāĪā_inv_app_f_f, SSet.Subcomplex.unionProd.Ī¹ā_Ī¹, toTopHomeo_symm_naturality_apply, SSet.stdSimplex.faceSingletonIso_one_hom_comp_Ī¹_eq_Ī“, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_self', SSet.instIsStableUnderCobaseChangeMonomorphisms, Truncated.morphismProperty_eq_top, CategoryTheory.SimplicialObject.Homotopy.precomp_h, eqToHom_toOrderHom, AlgebraicTopology.DoldKan.inclusionOfMooreComplexMap_comp_PInfty, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompDropIso_hom_app_app, revCompRevIso_inv_app, SSet.Ī¹ā_snd_assoc, SimplicialObject.Splitting.ofIso_isColimit', CategoryTheory.SimplicialObject.Truncated.sk.full, CategoryTheory.CosimplicialObject.Augmented.toArrow_map_right, SSet.horn.edge_coe, AlgebraicTopology.DoldKan.HigherFacesVanish.comp_Ī“_eq_zero, diag_subinterval_eq, CategoryTheory.SimplicialObject.Homotopy.singularChainComplexFunctor_map_homology_eq_of_simplicialHomotopy, CategoryTheory.cosimplicialSimplicialEquiv_functor_map_app, SSet.hornāā.Ī¹ā_desc, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIso_inv_app_right, AlgebraicTopology.DoldKan.NāĪāToKaroubiIso_hom_app, SSet.modelCategoryQuillen.cofibration_of_mono, SSet.OneTruncationā.nerveEquiv_symm_apply_map, SSet.Truncated.StrictSegal.spine_Ī“_arrow_gt, SSet.stdSimplex.isoNerve_hom_app_apply, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“_self, SSet.Subcomplex.mem_degenerate_iff, CategoryTheory.Limits.FormalCoproduct.cechFunctor_obj, AlgebraicTopology.DoldKan.compatibility_Nā_Nā_karoubi, AlgebraicTopology.DoldKan.QInfty_f_naturality_assoc, AlgebraicTopology.DoldKan.MorphComponents.postComp_a, SSet.stdSimplex.faceSingletonComplIso_hom_Ī¹, CategoryTheory.SimplicialObject.Ī“_comp_Ī“', SSet.instHasDimensionLETensorObjHAddNat, SSet.Ī¹ā_app_fst, SSet.skeleton_succ, SSet.Subcomplex.iSup_ofSimplex_nonDegenerate_eq_top, AugmentedSimplexCategory.inl_comp_tensorHom, SSet.Ī¹ā_snd, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompPointIso_inv_app, SSet.Truncated.StrictSegal.spineInjective, CategoryTheory.SimplicialObject.Augmented.hom_ext_iff, PartialOrder.mem_range_nerve_Ļ_iff, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_inv_Ļ_assoc, SimplicialObject.Splitting.ĻSummand_comp_cofan_inj_id_comp_PInfty_eq_PInfty, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_hom_Ļ_assoc, SSet.stdSimplex.objMkā_of_castSucc_lt, SSet.hasDimensionLT_of_isColimit, AlgebraicTopology.DoldKan.map_PInfty_f, CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_inv_left_app, SimplicialObject.Split.toKaroubiNondegComplexFunctorIsoNā_hom_app_f_f, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_id, SSet.Path.map_arrow, SSet.Truncated.HomotopyCategory.BinaryProduct.iso_hom_toFunctor, AugmentedSimplexCategory.id_star_whiskerRight, CategoryTheory.cosimplicialSimplicialEquiv_counitIso_inv_app_app, CategoryTheory.CosimplicialObject.Augmented.toArrow_map_left, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_comp, CategoryTheory.SimplicialObject.augment_hom_app, CategoryTheory.SimplicialObject.isCoskeletal_iff, CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_hom_left_app, AlgebraicTopology.DoldKan.NāĪā_compatible_with_NāĪā, SSet.whiskerLeft_app_apply, mono_iff_injective, CategoryTheory.Limits.FormalCoproduct.cochainComplexFunctor_obj_d, AlgebraicTopology.DoldKan.Īā.Obj.mapMono_on_summand_id, SSet.comp_app, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_succ', AlgebraicTopology.AlternatingFaceMapComplex.obj_d_eq, CategoryTheory.nerveFunctor_map, SSet.stdSimplex.Ļ_objEquiv_symm_apply, skeletal, SSet.Augmented.stdSimplex_obj_right, AlgebraicTopology.normalizedMooreComplex_objD, SimplicialObject.Splitting.IndexSet.fac_pull, CategoryTheory.SimplicialObject.Homotopy.refl_h, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_map_right, SSet.StrictSegal.spineToSimplex_spine, SSet.Subcomplex.prod_obj, SimplicialObject.Split.cofan_inj_naturality_symm_assoc, CategoryTheory.CosimplicialObject.Truncated.whiskering_obj_map_app, SimplicialObject.Splitting.ofIso_Ī¹, image_eq, SkeletalFunctor.isEquivalence, SSet.Truncated.Edge.map_whiskerLeft, SSet.hornāā.Ī¹ā_desc, SSet.comp_const, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_map_mkHom_homMk_id, SimplicialObject.opFunctor_obj_Ī“, CategoryTheory.SimplicialObject.Augmented.const_map_right, CategoryTheory.SimplicialObject.Ļ_comp_Ļ, AlgebraicTopology.DoldKan.whiskerLeft_toKaroubi_NāĪā_hom, Truncated.Hom.tr_id, SSet.const_app, TopCat.toSSetObjāEquiv_apply, SSet.Truncated.HomotopyCategory.BinaryProduct.mapHomotopyCategory_prod_id_comp_inverse, SSet.Truncated.Edge.map_snd, CategoryTheory.SimplicialObject.instIsIsoAppUnitTruncatedCoskAdj, AlgebraicTopology.DoldKan.MorphComponents.id_Ļ, SSet.stdSimplex.instFiniteObjOppositeSimplexCategory, SSet.StrictSegal.isPointwiseRightKanExtensionAt.fac_auxā, CategoryTheory.SimplicialObject.Ī“_comp_Ī“'', AlgebraicTopology.normalizedMooreComplex_map, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_map_left_app, SSet.degenerate_app_apply, CategoryTheory.SimplicialObject.Homotopy.h_comp_Ļ_succ_of_lt, SSet.Subcomplex.preimage_obj, SSet.Subcomplex.image_top, SSet.Truncated.HomotopyCategory.BinaryProduct.functor_comp_inverse, SSet.Truncated.HomotopyCategory.descOfTruncation_map_homMk, AlgebraicTopology.DoldKan.Īā_map_app, CategoryTheory.SimplicialObject.comp_left_app, rev_map_apply, AugmentedSimplexCategory.equivAugmentedSimplicialObject_counitIso_hom_app_right, SSet.Truncated.Edge.exists_of_simplex, SSet.Subcomplex.prod_le_unionProd, Truncated.Ī“ā_zero_comp_Ī“ā_two, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_map_mkHom_homMk_homMk, SSet.Truncated.Edge.map_id, SSet.RelativeMorphism.comm_assoc, SSet.orderEmbeddingN_apply, CategoryTheory.Idempotents.DoldKan.N_obj, AlgebraicTopology.DoldKan.toKaroubiCompNāIsoNā_hom_app, SSet.Subcomplex.instMonoToRange, CategoryTheory.SimplicialObject.Truncated.trunc_obj_map, SSet.Subcomplex.unionProd.Ī¹ā_Ī¹_assoc, Ī“_comp_Ī“_self'_assoc, SimplicialObject.Split.Hom.comm, SSet.modelCategoryQuillen.cofibration_iff, CategoryTheory.SimplicialObject.whiskering_map_app_app, CategoryTheory.SimplicialObject.Augmented.rightOp_right_obj, SSet.Truncated.hoFunctorā_naturality, SSet.instHasDimensionLTTensorObjHAddNat, AlgebraicTopology.DoldKan.QInfty_f_naturality, SSet.hornāā.Ī¹ā_desc, rev_map_Ļ, CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_hom_right, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā'_assoc, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso_hom_app_left, SSet.Subcomplex.homOfLE_Ī¹, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_hom_Ļ, CategoryTheory.SimplicialObject.Truncated.rightExtensionInclusion_right_as, SSet.face_le_horn, SSet.Subcomplex.image_preimage_le, SimplicialObject.Splitting.IndexSet.id_snd_coe, instReflectsIsomorphismsForgetOrderHomFinHAddNatLenOfNat, CategoryTheory.Arrow.mapCechConerve_app, CategoryTheory.SimplicialObject.Ī“_comp_Ī“_self, SSet.Truncated.liftOfStrictSegal.hĻ'ā, CategoryTheory.hoFunctor.preservesBinaryProducts, Ī“_comp_Ļ_of_gt, Truncated.Ī“ā_zero_comp_Ļā_one_assoc, CategoryTheory.Limits.FormalCoproduct.cechFunctor_map_app, SSet.Truncated.StrictSegal.spineToSimplex_vertex, CategoryTheory.CosimplicialObject.Augmented.leftOpRightOpIso_hom_right_app, CategoryTheory.cosimplicialSimplicialEquiv_unitIso_hom_app, AugmentedSimplexCategory.inl_comp_inl_comp_associator, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_zero, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_comp_functor, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_succ', SSet.stdSimplex.objMkā_of_le_castSucc, Truncated.initial_inclusion, AlgebraicTopology.DoldKan.P_f_naturality_assoc, toTopHomeo_naturality, AlgebraicTopology.DoldKan.map_P, CategoryTheory.Arrow.augmentedCechNerve_left, SSet.Subcomplex.image_eq_range, SSet.RelativeMorphism.comm, SSet.Truncated.StrictSegal.spine_Ī“_vertex_ge, SSet.StrictSegal.spineToSimplex_edge, CategoryTheory.Idempotents.DoldKan.Ī·_inv_app_f, CategoryTheory.Limits.FormalCoproduct.cechIsoAugmentedCechNerve_hom_right, CategoryTheory.SimplicialObject.Augmented.whiskering_map_app_left, SSet.PtSimplex.MulStruct.Ī“_map_of_lt, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s_comp_Ļ, SSet.Truncated.StrictSegal.spineToSimplex_edge, SSet.Truncated.spine_arrow, AugmentedSimplexCategory.equivAugmentedSimplicialObject_counitIso_hom_app_left_app, SSet.stdSimplex.instHasDimensionLEObjSimplexCategoryMk, SSet.stdSimplex.monotone_apply, SSet.horn.faceĪ¹_Ī¹, SSet.StrictSegal.isPointwiseRightKanExtensionAt.fac_auxā, AlgebraicTopology.DoldKan.degeneracy_comp_PInfty_assoc, SSet.Truncated.liftOfStrictSegal.hĪ“'ā, AlgebraicTopology.DoldKan.toKaroubiCompNāIsoNā_inv_app, Ī“_comp_Ī“, SSet.S.equivElements_apply_fst, SSet.Subcomplex.ofSimplex_le_iff, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompDropIso_hom_app_app, SSet.N.le_iff_exists_mono, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_obj_hom_app, PartialOrder.mem_nerve_nonDegenerate_iff_strictMono, Truncated.Ī“ā_one_comp_Ļā_zero, SimplicialObject.Splitting.IndexSet.instEpiSimplexCategoryE, SSet.N.mk'_surjective, CategoryTheory.SimplicialObject.Augmented.drop_obj, SSet.Subcomplex.image_ofSimplex, SSet.Truncated.HomotopyCategory.homToNerveMk_app_one, SSet.stdSimplex.Ī“_one_toSSetObjI, CategoryTheory.SimplicialObject.equivalenceRightToLeft_right, SSet.prodStdSimplex.objEquiv_map_apply, SSet.Subcomplex.le_iff_of_hasDimensionLT, Truncated.Hom.ext_iff, SSet.stdSimplex.objEquiv_symm_mem_nonDegenerate_iff_mono, SSet.Truncated.Edge.mk'_edge, SimplicialObject.Splitting.cofan_inj_comp_app, rev_obj, CategoryTheory.CosimplicialObject.augmentOfIsInitial_hom_app, AlgebraicTopology.NormalizedMooreComplex.d_squared, CategoryTheory.Limits.FormalCoproduct.instHasLimitWidePullbackShapeToTypeSimplexCategoryOrderHomFinHAddNatLenOfNatWideCospanObjInclFromIsTerminalIncl, instIsRightAdjointSSetTopCatToSSet, CategoryTheory.CosimplicialObject.augment_hom_zero, CategoryTheory.CosimplicialObject.Augmented.toArrow_obj_right, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.sā_comp_Ī“ā, instBalanced, SSet.nonDegenerate_iff_of_isIso, CategoryTheory.SimplicialObject.cechNerve_obj, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_of_le, AlgebraicTopology.DoldKan.Īā.map_app, AugmentedSimplexCategory.instFaithfulSimplexCategoryInclusion, CategoryTheory.hoFunctor.isIso_prodComparison_stdSimplex, instEpiĻ, AlgebraicTopology.DoldKan.natTransP_app, CategoryTheory.CosimplicialObject.Augmented.toArrow_obj_hom, SSet.Truncated.comp_app_assoc, SSet.Subcomplex.homOfLE_comp, SSet.Truncated.Edge.map_tensorHom, CategoryTheory.Limits.FormalCoproduct.cech_map, SSet.Truncated.StrictSegal.spineToSimplex_arrow, SSet.horn.edgeā_coe_down, AlgebraicTopology.DoldKan.Nā_obj_X, SSet.Truncated.rightExtensionInclusion_left, SimplicialObject.Splitting.Ļ_comp_ĻSummand_id_eq_zero_assoc, AlgebraicTopology.map_alternatingFaceMapComplex, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_self, CategoryTheory.SimplicialThickening.SimplicialCategory.assoc, SSet.stdSimplex.const_down_toOrderHom, SSet.Subcomplex.topIso_inv_Ī¹_assoc, CategoryTheory.Limits.FormalCoproduct.cochainComplexFunctor_obj_X, SSet.hornāā.isPushout, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_of_gt_assoc, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s_comp_Ī“_assoc, AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex_comp_inclusionOfMooreComplexMap, SSet.Subcomplex.fromPreimage_app_coe, AlgebraicTopology.DoldKan.MorphComponents.preComp_Ļ, SSet.horn_eq_iSup, AlgebraicTopology.DoldKan.HigherFacesVanish.comp_P_eq_self_assoc, SSet.Subcomplex.homOfLE_app_val, SSet.Subcomplex.unionProd.Ī¹ā_Ī¹_assoc, AlgebraicTopology.DoldKan.Īā_obj_obj, CategoryTheory.cosimplicialSimplicialEquiv_unitIso_inv_app, AlgebraicTopology.DoldKan.Q_f_naturality_assoc, SSet.Truncated.spine_vertex, SSet.yonedaEquiv_const, revCompRevIso_hom_app, SSet.stdSimplex.objāEquiv_symm_mem_face_iff, SimplicialObject.opFunctorCompOpFunctorIso_hom_app_app, SSet.prodStdSimplex.nonDegenerateEquivā_fst, SSet.range_eq_iSup_sigma_Ī¹, SSet.Subcomplex.BicartSq.isPushout, CategoryTheory.Arrow.augmentedCechNerve_right, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_succ, SSet.Subcomplex.range_comp, SSet.Subcomplex.PairingCore.nonDegenerateā, CategoryTheory.SimplicialObject.Truncated.trunc_map_app, SSet.prodStdSimplex.instFiniteTensorObjObjSimplexCategoryStdSimplexMk, SSet.stdSimplex.objEquiv_symm_comp, CategoryTheory.SimplicialObject.Augmented.wā_assoc, CategoryTheory.SimplicialObject.cechNerve_map, SSet.Subcomplex.eqToIso_inv, Ī“_injective, CategoryTheory.SimplicialObject.whiskering_obj_obj_obj, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s_comp_Ļ_assoc, AlgebraicTopology.DoldKan.HigherFacesVanish.comp_P_eq_self, Ī“_comp_Ī“_self_assoc, SimplicialObject.opEquivalence_unitIso, CategoryTheory.Idempotents.DoldKan.Ī_obj_map, SSet.Truncated.mapHomotopyCategory_obj, SimplexCategoryGenRel.simplicialEvalĻ_of_isAdmissible, SSet.Subcomplex.prod_monotone, SSet.Ī¹ā_comp_assoc, SimplicialObject.Splitting.PInfty_comp_ĻSummand_id_assoc, SSet.Subcomplex.instMonoĪ¹, CategoryTheory.nerve_map, CategoryTheory.SimplicialObject.Augmented.const_obj_left, SSet.Truncated.Edge.map_edge, SSet.hornāā.Ī¹ā_desc_assoc, CategoryTheory.CosimplicialObject.Ļ_comp_Ļ, CategoryTheory.SimplicialObject.augmentOfIsTerminal_right, SSet.skeletonOfMono_zero, AugmentedSimplexCategory.tensor_id, SSet.Truncated.Edge.id_edge, CategoryTheory.SimplicialObject.Ī“_naturality_assoc, CategoryTheory.simplicialCosimplicialEquiv_inverse_obj, Truncated.Ī“ā_two_comp_Ļā_zero, SSet.Ī¹ā_comp, AlgebraicTopology.DoldKan.natTransPInfty_f_app, CategoryTheory.Idempotents.DoldKan.Ī_obj_obj, SSet.hornāā.desc.multicofork_Ļ_zero_assoc, CategoryTheory.simplicialCosimplicialEquiv_functor_map_app, SSet.Homotopy.hā_assoc, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_succ, SSet.IsStrictSegal.segal, CategoryTheory.SimplicialObject.Homotopy.ToChainHomotopy.hom_eq_zero, AlgebraicTopology.NormalizedMooreComplex.map_f, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“'', SSet.opEquivalence_unitIso, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_of_gt'_assoc, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_of_gt, AlgebraicTopology.DoldKan.ĪāNāToKaroubiIso_inv_app, AlgebraicTopology.DoldKan.instMonoChainComplexNatInclusionOfMooreComplexMap, CategoryTheory.Limits.FormalCoproduct.cechIsoCechNerveApp_inv_Ļ, SSet.Augmented.stdSimplex_obj_hom_app, CategoryTheory.SimplicialObject.whiskering_obj_obj_map, CategoryTheory.Abelian.DoldKan.equivalence_inverse, SSet.horn.faceĪ¹_Ī¹_assoc, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_unitIso_inv_app_app, SSet.Homotopy.hā, SSet.stdSimplex.Ī“_objMkā_of_le, SimplicialObject.Splitting.decomposition_id, SSet.Truncated.Path.arrow_src, SSet.spine_map_vertex, SSet.prodStdSimplex.le_orderHomOfSimplex, SSet.RelativeMorphism.Homotopy.hā_assoc, SSet.Subcomplex.prodIso_inv, SSet.Truncated.liftOfStrictSegal_app_0, CategoryTheory.nerveFunctor.full, AlgebraicTopology.DoldKan.MorphComponents.postComp_b, SSet.hasDimensionLT_iSup_iff, SSet.Subcomplex.unionProd.preimage_Ī²_inv, toMkā_apply, SSet.Truncated.HomotopyCategory.BinaryProduct.associativity'Iso_hom_app, SSet.Subcomplex.le_iff_contains_nonDegenerate, AugmentedSimplexCategory.inclusion_map, eq_Ļ_comp_of_not_injective', SimplexCategoryGenRel.toSimplexCategory_map_Ī“, SSet.stdSimplex.yonedaEquiv_map, CategoryTheory.SimplicialObject.Homotopy.h_castSucc_comp_Ī“_succ_of_lt_assoc, SSet.RelativeMorphism.Homotopy.ofEq_h, instHasStrongEpiMonoFactorisations, SSet.horn_obj_zero, AlgebraicTopology.DoldKan.instReflectsIsomorphismsSimplicialObjectKaroubiChainComplexNatNā, AlgebraicTopology.DoldKan.hĻ'_eq, CategoryTheory.SimplicialObject.eqToIso_refl, SSet.mem_skeleton, AlgebraicTopology.DoldKan.MorphComponents.id_a, SSet.horn.spineId_vertex_coe, CategoryTheory.CosimplicialObject.Ī“_comp_Ī“'_assoc, SSet.rightUnitor_hom_app_apply, SSet.iSup_skeletonOfMono, Ī“_one_mkOfSucc, CategoryTheory.SimplicialObject.instHasColimitsOfShape, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso_inv_app_right, revEquivalence_functor, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s'_comp_Īµ_assoc, CategoryTheory.CosimplicialObject.whiskering_obj_map_app, CategoryTheory.nerve_obj, SSet.Truncated.tensor_map_apply_fst, rev_map_rev_map, SSet.Truncated.HomotopyCategory.BinaryProduct.functor_obj, CategoryTheory.SimplicialObject.Homotopy.congr_homologyMap_singularChainComplexFunctor, AlgebraicTopology.DoldKan.PInfty_f_naturality, SSet.horn.multicoequalizerDiagram, mkOfSucc_Ī“_gt, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand, SSet.horn.spineId_arrow_coe, CategoryTheory.SimplicialObject.equivalenceRightToLeft_left, SSet.skeletonOfMono_obj_eq_top, Ī“_comp_Ļ_of_gt_assoc, AlgebraicTopology.DoldKan.HigherFacesVanish.of_comp, SimplicialObject.opFunctorCompOpFunctorIso_inv_app_app, SSet.iSup_range_eq_top_of_isColimit, CategoryTheory.SimplicialObject.IsCoskeletal.isRightKanExtension, SSet.stdSimplex.objEquiv_toOrderHom_apply, AugmentedSimplexCategory.tensorHom_id, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.s_comp_Ī“ā, SSet.Ī¹ā_fst, SSet.const_comp, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.const_s, CategoryTheory.simplicialCosimplicialEquiv_unitIso_inv_app, CategoryTheory.CosimplicialObject.Ļ_comp_Ļ_assoc, AugmentedSimplexCategory.equivAugmentedSimplicialObject_unitIso_hom_app_app, SSet.hornāā.desc.multicofork_Ļ_three_assoc, SSet.Truncated.Edge.tensor_edge, SSet.Edge.map_edge, SSet.Edge.CompStruct.map_simplex, AugmentedSimplexCategory.equivAugmentedSimplicialObject_counitIso_inv_app_right, AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex_homotopyInvHomId, SSet.Truncated.Path.map_vertex, SSet.PtSimplex.MulStruct.Ī“_castSucc_castSucc_map_assoc, SSet.Ī¹ā_app_snd_apply, SSet.Truncated.cosk.faithful, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.section_app_comp_hom_app_assoc, SSet.hornāā.desc.multicofork_Ļ_zero, AugmentedSimplexCategory.equivAugmentedSimplicialObject_unitIso_inv_app_app, CategoryTheory.Preadditive.DoldKan.equivalence_inverse, SSet.mem_nonDegenerate_iff_notMem_degenerate, Ī“_comp_Ļ_succ', SSet.finite_subcomplex_top_iff, SSet.Truncated.StrictSegal.spine_Ī“_arrow_eq, Truncated.Ī“ā_two_comp_Ļā_zero_assoc, SSet.Truncated.spine_surjective, SSet.Subcomplex.preimage_max, Ī“_comp_Ļ_self, Ļ_comp_toMkā_of_lt, SSet.Subcomplex.mem_ofSimplex_obj, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_self, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_of_gt', SSet.Subcomplex.unionProd.preimage_Ī²_hom, SSet.Subcomplex.N.mk_surjective, SSet.Subcomplex.image_le_range, AlgebraicTopology.DoldKan.map_Q, CategoryTheory.SimplicialObject.Truncated.whiskering_obj_obj_map, CategoryTheory.SimplicialObject.Truncated.cosk_reflective, CategoryTheory.CosimplicialObject.equivalenceRightToLeft_right_app, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summandā_assoc, SSet.Subcomplex.liftPath_arrow_coe, CategoryTheory.CosimplicialObject.hom_ext_iff, AlgebraicTopology.DoldKan.Nā_obj_p_f, SSet.Truncated.HomotopyCategory.BinaryProduct.square, SSet.hornāā.isPushout, SSet.stdSimplex.ofSimplex_yonedaEquiv_Ī“, AlgebraicTopology.DoldKan.Ļ_comp_PInfty, AlgebraicTopology.NormalizedMooreComplex.obj_X, SSet.mem_skeletonOfMono_obj_iff_of_nonDegenerate, SSet.Truncated.Pathā.arrow_tgt, SSet.S.equivElements_apply_snd, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_self_assoc, AlgebraicTopology.NormalizedMooreComplex.objX_add_one, SimplicialObject.Splitting.IndexSet.epiComp_snd_coe, AlgebraicTopology.DoldKan.Nā_obj_X_X, SimplicialObject.Split.Hom.comm_assoc, SSet.HasDimensionLT.degenerate_eq_top, SSet.Truncated.HomotopyCategory.BinaryProduct.inverseCompFunctorIso_hom_app, CategoryTheory.Idempotents.DoldKan.isoNā_hom_app_f, AlgebraicTopology.DoldKan.NāĪā_hom_app, SSet.prodStdSimplex.nonDegenerate_iff_injective_objEquiv, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIso_inv_app_left, TopCat.toSSet_map_const, SSet.Quasicategory.hornFilling, SSet.prodStdSimplex.nonDegenerate_max_dim_iff, AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex_comp_inclusionOfMooreComplexMap_assoc, SSet.stdSimplex.instFiniteObjSimplexCategory, Ī“_comp_Ļ_of_le_assoc, SSet.Subcomplex.prod_le_top_prod, SSet.stdSimplex.objMk_apply, SSet.hornāā.desc.multicofork_Ļ_three, SSet.Truncated.HomotopyCategory.homToNerveMk_app_edge, SSet.Subcomplex.PairingCore.notMemā, Ī“_comp_toMkā_of_le, AlgebraicTopology.DoldKan.MorphComponents.postComp_Ļ, CategoryTheory.SimplicialObject.Augmented.rightOp_hom_app, SimplicialObject.Splitting.ĻSummand_comp_cofan_inj_id_comp_PInfty_eq_PInfty_assoc, SSet.Truncated.StrictSegal.spineToSimplex_interval, SSet.Truncated.hom_ext_iff, SSet.N.mk_surjective, Truncated.Ī“ā_one_comp_Ļā_one_assoc, CategoryTheory.SimplicialObject.Augmented.point_obj, SimplicialObject.Split.natTransCofanInj_app, CategoryTheory.Limits.FormalCoproduct.cosimplicialObjectFunctor_obj_map, AlgebraicTopology.DoldKan.Īā.obj_map, SSet.OneTruncationā.ofNerveā.natIso_inv_app_map, CategoryTheory.SimplicialObject.Ī“_comp_Ī“_self', Truncated.Hom.tr_comp_assoc, CategoryTheory.CosimplicialObject.Augmented.leftOp_left_obj, toType_apply, AugmentedSimplexCategory.id_tensorHom, SSet.RelativeMorphism.Homotopy.hā, CategoryTheory.SimplicialObject.Augmented.rightOp_left, CategoryTheory.CosimplicialObject.Augmented.leftOpRightOpIso_inv_right_app, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.section_app_op_mk_zero, iso_eq_iso_refl, SSet.Truncated.Path.arrow_tgt, SSet.hornāā.Ī¹ā_desc_assoc, SSet.mem_degenerate_iff, SSet.nonDegenerateEquivOfIso_apply_coe, SSet.S.le_iff_nonempty_hom, SSet.modelCategoryQuillen.boundary_Ī¹_mem_I, toCat_obj, CategoryTheory.CosimplicialObject.whiskering_map_app_app, CategoryTheory.SimplicialObject.Truncated.sk_coreflective, SSet.Augmented.stdSimplex_map_left, CategoryTheory.Arrow.cechNerve_map, SSet.Truncated.trunc_spine, SSet.stdSimplex.faceSingletonComplIso_hom_Ī¹_assoc, SSet.RelativeMorphism.Homotopy.precomp_h, concreteCategoryHom_id, SSet.Finite.exists_epi_from_isCardinalPresentable, CategoryTheory.Idempotents.DoldKan.equivalence_functor, SSet.mono_of_nonDegenerate, SSet.N.le_iff, AlgebraicTopology.NormalizedMooreComplex.objX_zero, SSet.Ī¹ā_fst, skeletalFunctor_obj, CategoryTheory.SimplicialObject.Truncated.sk.faithful, AlgebraicTopology.DoldKan.Nā_obj_X_d, CategoryTheory.SimplicialObject.Augmented.toArrow_obj_hom, SimplicialObject.opEquivalence_inverse, SimplicialObject.Splitting.cofan_inj_ĻSummand_eq_zero_assoc, SSet.Truncated.liftOfStrictSegal_app_1, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIso_hom_app_left, SSet.stdSimplex.Ī“_one_eq_const, SSet.Truncated.liftOfStrictSegal.hĪ“'ā, SSet.S.mk_surjective, CategoryTheory.CosimplicialObject.Augmented.whiskering_map_app_right, SSet.associator_hom_app_apply, CategoryTheory.Abelian.DoldKan.equivalence_functor, SSet.Truncated.cosk.full, CategoryTheory.SimplicialObject.Homotopy.h_zero_comp_Ī“_zero_assoc, CategoryTheory.SimplicialObject.Ļ_comp_Ļ_assoc, CategoryTheory.SimplicialObject.Homotopy.whiskerRight_h, CategoryTheory.Arrow.cechConerve_map, SSet.Truncated.HomotopyCategory.BinaryProduct.associativity, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_obj_right, SSet.OneTruncationā.nerveEquiv_symm_apply_obj, AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompDropIso_inv_app_app, SSet.image_degenerate_le, AlgebraicTopology.DoldKan.karoubi_PInfty_f, SSet.Subcomplex.liftPath_vertex_coe, SSet.modelCategoryQuillen.J_le_monomorphisms, Truncated.Ī“ā_zero_comp_Ļā_one, CategoryTheory.hoFunctor.instIsIsoCatProdComparisonSSetHoFunctorNerve, SSet.boundary_eq_iSup, SSet.Subcomplex.unionProd.bicartSq, SSet.prod_Ļ_snd, SSet.RelativeMorphism.Homotopy.hā, SimplicialObject.Splitting.comp_PInfty_eq_zero_iff, toMkā_of_castSucc_lt, SSet.stdSimplex.spineId_vertex, toMkā_surjective, SSet.OneTruncationā.ofNerveā.natIso_inv_app_obj_map, toMkā_bijective, SSet.Subcomplex.range_tensorHom, CategoryTheory.simplicialCosimplicialEquiv_functor_obj_obj, SSet.stdSimplex.objMkā_apply_eq_zero_iff, CategoryTheory.Idempotents.DoldKan.Ī_map_app, SSet.Truncated.HomotopyCategory.BinaryProduct.right_unitality, SSet.Truncated.cosk_reflective, CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.section_comp_hom, AlgebraicTopology.DoldKan.ĪāNā.natTrans_app_f_app, CategoryTheory.SimplicialObject.id_right, CategoryTheory.hoFunctor.preservesBinaryProduct, SSet.degenerate_eq_iUnion_range_Ļ, CategoryTheory.nerve.functorOfNerveMap_nerveFunctorā_map, comp_toOrderHom, CategoryTheory.SimplicialObject.instIsLeftKanExtensionOppositeTruncatedSimplexCategoryObjSkAppTruncatedUnitSkAdjTruncation, SSet.RelativeMorphism.Homotopy.postcomp_h, CategoryTheory.simplicialToCosimplicialAugmented_map_right, AlgebraicTopology.DoldKan.degeneracy_comp_PInfty, SSet.stdSimplex.Ļ_objMkā_of_lt, CategoryTheory.CosimplicialObject.whiskering_obj_obj_map, CategoryTheory.CosimplicialObject.Augmented.leftOp_hom_app, SSet.S.equivElements_symm_apply_simplex, SSet.stdSimplex.face_inter_face, CategoryTheory.nerveFunctor_obj, SSet.stdSimplex.mem_nonDegenerate_iff_mono, SimplicialObject.Splitting.Ļ_comp_ĻSummand_id_eq_zero, SSet.hornāā.desc.multicofork_pt, SSet.prodStdSimplex.strictMono_orderHomOfSimplex, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_counitIso_hom_app_right_app, SSet.StrictSegal.isPointwiseRightKanExtensionAt.fac_auxā, Ļ_comp_toMkā_of_le, SSet.N.nonDegenerate, CategoryTheory.Arrow.cechConerve_obj, SSet.Subcomplex.mono_homOfLE, SSet.Truncated.Path.mkā_vertex, SSet.hornāā.isPushout, eq_id_of_mono, AlgebraicTopology.DoldKan.NāĪā_inv_app, SSet.prodStdSimplex.nonDegenerate_iff_strictMono_objEquiv, SSet.yonedaEquiv_comp, SSet.Truncated.IsStrictSegal.spine_bijective, SSet.op_map, SimplicialObject.Splitting.IndexSet.eqId_iff_eq, SkeletalFunctor.instFaithfulNonemptyFinLinOrdSkeletalFunctor, SSet.stdSimplex.spineId_arrow_apply_one, AlgebraicTopology.DoldKan.HigherFacesVanish.comp_HĻ_eq, SSet.Quasicategory.hornFilling', CategoryTheory.SimplicialObject.Homotopy.h_succ_comp_Ī“_castSucc_succ_assoc, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_functor_obj_right_map, CategoryTheory.cosimplicialToSimplicialAugmented_map, SSet.OneTruncationā.nerveHomEquiv_apply, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIso_hom_app_right, SSet.Subcomplex.instEpiToRange, SSet.StrictSegalCore.map_mkOfSucc_zero_spineToSimplex, SSet.instFiniteSigmaObjOfFinite, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_obj_left_map, SSet.RelativeMorphism.Homotopy.rel, SSet.horn.primitiveEdge_coe_down, CategoryTheory.Abelian.DoldKan.comparisonN_hom_app_f, SSet.Truncated.HomotopyCategory.BinaryProduct.associativityIso_hom_app, AugmentedSimplexCategory.inr_comp_tensorHom, SSet.stdSimplex.faceSingletonIso_one_hom_comp_Ī¹_eq_Ī“_assoc, factorThruImage_eq, SSet.Truncated.Edge.CompStruct.exists_of_simplex, SSet.StrictSegal.spineToSimplex_arrow, CategoryTheory.SimplicialObject.Augmented.drop_map, SSet.Subcomplex.range_eq_top_iff, SimplicialObject.Split.toKaroubiNondegComplexFunctorIsoNā_inv_app_f_f, skeletalFunctor_map, SSet.StrictSegal.spine_spineToSimplex, SSet.Truncated.HomotopyCategory.homToNerveMk_app_zero, SSet.Truncated.liftOfStrictSegal.hĻ'ā, SSet.Truncated.Edge.CompStruct.dā, SSet.Truncated.Edge.map_whiskerRight, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_functor_map_right_app, SSet.Truncated.comp_app, AlgebraicTopology.DoldKan.Īā.Obj.mapMono_on_summand_id_assoc, SSet.Subcomplex.preimage_iSup, SSet.Subcomplex.fromPreimage_Ī¹, CategoryTheory.cosimplicialSimplicialEquiv_inverse_map, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_of_le_assoc, CategoryTheory.SimplicialObject.Ī“_comp_Ī“, SSet.Path.map_vertex, SSet.Truncated.Edge.CompStruct.map_simplex, revEquivalence_inverse, SSet.stdSimplex.face_le_face_iff, SSet.Finite.instIsFinitelyPresentable, AugmentedSimplexCategory.inl_comp_tensorHom_assoc, AlgebraicTopology.DoldKan.Īā_obj_X_obj, SSet.RelativeMorphism.Homotopy.refl_h, AlgebraicTopology.DoldKan.Īā.Obj.Termwise.mapMono_id, mkOfSucc_Ī“_eq, SSet.hornāā.Ī¹ā_desc, SSet.truncation_spine, SSet.PtSimplex.RelStruct.Ī“_succ_map, CategoryTheory.CosimplicialObject.Truncated.whiskering_obj_obj_map, CategoryTheory.CosimplicialObject.Ī“_naturality, SSet.OneTruncationā.map_obj, SSet.stdSimplex.Ī“_objMkā_of_lt, SSet.Ļ_naturality_apply, AlgebraicTopology.DoldKan.Īā_map_f_app, SSet.Truncated.HomotopyCategory.homToNerveMk_comp, SSet.Truncated.HomotopyCategory.BinaryProduct.functor_map, CategoryTheory.SimplicialObject.Homotopy.h_zero_comp_Ī“_zero, skeletalFunctor.coe_map, AugmentedSimplexCategory.inr_comp_tensorHom_assoc, AlgebraicTopology.DoldKan.decomposition_Q, revEquivalence_counitIso, AlgebraicTopology.DoldKan.Ļ_comp_P_eq_zero, SSet.S.mk_map_le, SSet.S.IsUniquelyCodimOneFace.existsUnique_Ī“_cast_simplex, CategoryTheory.SimplicialObject.isCoskeletal_iff_isIso, AlgebraicTopology.DoldKan.Īā.obj_obj, CategoryTheory.nerveMap_app, CategoryTheory.SimplicialThickening.functor_id, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_right, SSet.Subcomplex.top_prod_le_unionProd, SSet.modelCategoryQuillen.fibration_iff, Ī“_comp_Ļ_succ'_assoc, SSet.Truncated.rightExtensionInclusion_hom_app, CategoryTheory.SimplicialObject.augmentedCechNerve_map_left_app, AlgebraicTopology.AlternatingFaceMapComplex.obj_X, CategoryTheory.nerve.functorOfNerveMap_obj, SSet.N.iSup_subcomplex_eq_top, AlgebraicTopology.DoldKan.ĪāNā_inv, SSet.Truncated.Pathā.arrow_src, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_left_map, AlgebraicTopology.DoldKan.instReflectsIsomorphismsKaroubiSimplicialObjectChainComplexNatNā, SSet.hasDimensionLE_prod, AlgebraicTopology.DoldKan.Q_f_naturality, SSet.Ī¹ā_fst_assoc, CategoryTheory.nerve.nerveFunctorā_map_functorOfNerveMap, Truncated.Ī“ā_one_comp_Ļā_zero_assoc, SimplicialObject.opEquivalence_functor, AlgebraicTopology.DoldKan.Īā.Obj.map_epi_on_summand_id, SSet.Truncated.Edge.CompStruct.dā, SSet.Subcomplex.N.mk'_surjective, AlgebraicTopology.DoldKan.identity_Nā_objectwise, SSet.stdSimplex.objMkā_apply_eq_one_iff, SSet.Truncated.HomotopyCategory.BinaryProduct.id_prod_mapHomotopyCategory_comp_inverse, SSet.Subcomplex.PairingCore.notMemā, Truncated.Ī“ā_two_comp_Ļā_one, SSet.Subcomplex.topIso_hom, SSet.OneTruncationā.id_edge, AlgebraicTopology.inclusionOfMooreComplexMap_f, CategoryTheory.Idempotents.DoldKan.hĪ·, SSet.stdSimplex.toSSetObj_app_const_one, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_left_obj, SSet.Edge.toTruncated_id, SSet.horn.Ī¹_Ī¹_assoc, AlgebraicTopology.DoldKan.NāĪā_inv_app_f_f, toCat_map, AlgebraicTopology.alternatingFaceMapComplex_obj_X, eq_of_one_to_one, SSet.Truncated.sk.faithful, SSet.opEquivalence_counitIso, CategoryTheory.CosimplicialObject.equivalenceLeftToRight_right, SSet.leftUnitor_hom_app_apply, SimplicialObject.Splitting.toKaroubiNondegComplexIsoNā_hom_f_f, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand', toMkā_apply_eq_one_iff, SimplicialObject.Split.id_F, Ļ_comp_Ļ, hom_zero_zero, CategoryTheory.Limits.FormalCoproduct.cech_obj, SSet.RelativeMorphism.comp_map, SSet.prod_map_snd, SSet.hornāā.desc.multicofork_Ļ_zero, CategoryTheory.Limits.FormalCoproduct.cosimplicialObjectFunctor_map_app, SSet.stdSimplex.objEquiv_symm_apply, AlgebraicTopology.DoldKan.Īā_obj_termwise_mapMono_comp_PInfty_assoc, SSet.StrictSegal.instIsStrictSegalObjTruncatedHAddNatOfNatTruncationOfIsStrictSegal, SSet.hornāā.desc.multicofork_Ļ_three_assoc, instEpiFactorThruImage, AlgebraicTopology.DoldKan.map_hĻ', AlgebraicTopology.DoldKan.Nā_map_f_f, SSet.Subcomplex.PairingCore.nonDegenerateā, SSet.hornāā.desc.multicofork_Ļ_one_assoc, SSet.KanComplex.hornFilling, SSet.PtSimplex.RelStruct.Ī“_map_of_gt, CategoryTheory.SimplicialObject.instHasLimits, SSet.Truncated.StrictSegal.spine_Ī“_vertex_lt, eq_comp_Ī“_of_not_surjective, SSet.nondegenerate_zero, AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompDropIso_inv_app_app, Truncated.Hom.tr_comp'_assoc, AlgebraicTopology.DoldKan.P_f_naturality, SSet.Truncated.HomotopyCategory.descOfTruncation_obj_mk, SSet.S.IsUniquelyCodimOneFace.iff, AlgebraicTopology.DoldKan.MorphComponents.id_b, CategoryTheory.SimplicialObject.Homotopy.postcomp_h, SimplicialObject.Split.cofan_inj_naturality_symm, AlgebraicTopology.DoldKan.factors_normalizedMooreComplex_PInfty, II_obj, SSet.associator_inv_app_apply, SSet.stdSimplex.nonDegenerateEquiv_symm_apply_coe, AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex_hom, CategoryTheory.SimplicialObject.Homotopy.map_homology_eq, SSet.horn.Ī¹_Ī¹, SimplicialObject.Splitting.cofan_inj_comp_app_assoc, AlgebraicTopology.DoldKan.NāĪā_app, CategoryTheory.SimplicialObject.Homotopy.h_castSucc_comp_Ī“_succ_of_lt, SSet.Subcomplex.prod_le_prod_top, CategoryTheory.hoFunctor.isIso_prodComparison, SSet.hornāā.Ī¹ā_desc, CategoryTheory.cosimplicialSimplicialEquiv_functor_obj_map, CategoryTheory.SimplicialThickening.functor_obj_as, SSet.instIsRegularEpiCategory, CategoryTheory.SimplicialObject.Homotopy.ToChainHomotopy.hom_eq, epi_iff_surjective, CategoryTheory.Idempotents.DoldKan.N_map, CategoryTheory.SimplicialObject.Ī“_comp_Ļ_succ_assoc, SSet.RelativeMorphism.map_coe, SSet.Truncated.HomotopyCategory.BinaryProduct.inverse_obj, SSet.Subcomplex.N.notMem, CategoryTheory.SimplicialObject.Homotopy.h_succ_comp_Ī“_castSucc_succ, CategoryTheory.instIsIsoSSetProdComparisonCatCompNerveFunctorHoFunctorOf, SSet.PtSimplex.MulStruct.Ī“_succ_castSucc_map_assoc, AugmentedSimplexCategory.equivAugmentedSimplicialObject_inverse_obj_map, Truncated.initial_incl, AlgebraicTopology.DoldKan.hĻ'_naturality, AlgebraicTopology.DoldKan.P_add_Q_f, SSet.horn.const_val_apply, SSet.hornāā.desc.multicofork_Ļ_three, CategoryTheory.nerveAdjunction.isIso_counit, AlgebraicTopology.DoldKan.hĻ'_eq', SSet.StrictSegal.isRightKanExtension, SSet.hornāā.Ī¹ā_desc_assoc, SSet.Truncated.IsStrictSegal.segal, AlgebraicTopology.DoldKan.HigherFacesVanish.induction, AlgebraicTopology.DoldKan.Īā_obj_termwise_mapMono_comp_PInfty, CategoryTheory.nerveMap_app_mkā, SSet.hornāā.sq, CategoryTheory.SimplicialThickening.SimplicialCategory.id_comp, SSet.Subcomplex.image_iSup, SimplicialObject.Splitting.cofan_inj_eq_assoc, CategoryTheory.SimplicialObject.whiskering_obj_obj_Ī“, SSet.instFinitePullback, CategoryTheory.Abelian.DoldKan.comparisonN_inv_app_f, II_Ī“, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_functor_obj_hom_app, SkeletalFunctor.instFullNonemptyFinLinOrdSkeletalFunctor, SSet.Truncated.HomotopyCategory.homToNerveMk_comp_assoc, CategoryTheory.SimplicialThickening.functor_comp, SSet.horn.primitiveTriangle_coe, CategoryTheory.nerve.instFaithfulCatTruncatedOfNatNatNerveFunctorā, AlgebraicTopology.DoldKan.Īā.Obj.map_on_summand'_assoc, Ī“_comp_Ļ_succ, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_functor_obj_right_obj, SSet.stdSimplex.Ī¹ā_whiskerLeft_toSSetObjI_Ī¼, CategoryTheory.SimplicialObject.equivalenceLeftToRight_left_app, SSet.degenerate_iff_of_isIso, SSet.Truncated.liftOfStrictSegal.spineEquiv_fā_arrow_one, SSet.stdSimplex.face_singleton_compl, SSet.Ī¹ā_app_fst, SSet.hornāā.Ī¹ā_desc_assoc, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_of_gt', SSet.Truncated.spine_injective, AugmentedSimplexCategory.tensorHom_comp_tensorHom, CategoryTheory.SimplicialObject.Truncated.whiskering_obj_map_app, AugmentedSimplexCategory.equivAugmentedSimplicialObject_functor_obj_left_obj, CategoryTheory.SimplicialObject.augmentedCechNerve_obj_hom_app, SimplicialObject.Splitting.cofan_inj_epi_naturality, Ī“_comp_toMkā_of_lt, instMonoĪ“, SSet.Edge.toTruncated_edge, SSet.Truncated.Edge.CompStruct.idCompId_simplex, SimplexCategoryGenRel.isSplitMono_toSimplexCategory_map_of_P_Ī“, CategoryTheory.SimplicialObject.augmentedCechNerve_map_right, SimplicialObject.Splitting.IndexSet.eqId_iff_len_le, CategoryTheory.Arrow.mapAugmentedCechNerve_right, AlgebraicTopology.DoldKan.ĪāNā_inv, SSet.stdSimplex.Ī¹ā_whiskerLeft_toSSetObjI_Ī¼_assoc, SSet.range_eq_iSup_of_isColimit, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_counitIso_inv_app_right_app, CategoryTheory.Idempotents.DoldKan.Ī·_hom_app_f, AlgebraicTopology.normalizedMooreComplex_obj, SSet.Subcomplex.preimage_iInf, SSet.Subcomplex.instIsIsoToRangeOfMono, CategoryTheory.simplicialCosimplicialEquiv_functor_obj_map, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_counitIso_inv_app_left, SSet.S.le_def, CategoryTheory.SimplicialObject.Homotopy.h_succ_comp_Ī“_castSucc_of_lt_assoc, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_self'_assoc, classifyingSpaceUniversalCover_obj, SSet.Ī¹ā_comp_assoc, AlgebraicTopology.DoldKan.natTransQ_app, SSet.skeletonOfMono_succ, CategoryTheory.Arrow.augmentedCechConerve_hom_app, AugmentedSimplexCategory.equivAugmentedCosimplicialObject_unitIso_hom_app_app, CategoryTheory.SimplicialObject.Ī“_comp_Ī“_self'_assoc, AlgebraicTopology.DoldKan.ĪāNā.natTrans_app_f_app, SSet.PtSimplex.RelStruct.Ī“_succ_map_assoc, CategoryTheory.SimplicialObject.instHasColimits, CategoryTheory.SimplicialObject.equivalenceLeftToRight_right, SSet.opEquivalence_functor, Ī“_comp_Ļ_self'_assoc, CategoryTheory.Idempotents.DoldKan.equivalence_unitIso, SSet.StrictSegal.spineToSimplex_vertex, SSet.Truncated.Edge.tgt_eq, SSet.stdSimplex.isoNerve_inv_app_apply, SSet.Truncated.liftOfStrictSegal.spineEquiv_fā_arrow_zero, SSet.instFiniteInitial, SSet.Truncated.StrictSegal.spineToSimplex_map, SSet.PtSimplex.MulStruct.Ī“_castSucc_castSucc_map, SSet.RelativeMorphism.Homotopy.rel_assoc, toMkā_injective, SSet.skeleton_zero, CategoryTheory.CosimplicialObject.Ī“_comp_Ļ_of_le_assoc, morphismProperty_eq_top
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