Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.isUniquelyCodimOneFace
∀ {X : SSet} {A : X.Subcomplex} (P : A.Pairing) [P.IsProper] (x : ↑P.II), (↑x).IsUniquelyCodimOneFace (↑(P.p x)).toS- Cited by
- 12 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.N.toSstatement · cited by 171
- SSet.Subcomplex.Nstatement · cited by 155
- SSet.Subcomplex.N.toNstatement · cited by 126
- SSet.Subcomplex.Pairingstatement and proof · cited by 117
- SSet.Subcomplex.Pairing.IIstatement and proof · cited by 58
- SSet.Subcomplex.Pairing.IsProperstatement and proof · cited by 58
Cited by15
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.leproof · cited by 4
- SSet.Subcomplex.Pairing.RankFunction.Cell.subcomplex_not_le_image_hornproof · cited by 2
- SSet.Subcomplex.Pairing.dim_pproof · cited by 2
- SSet.Subcomplex.Pairing.innerAnodyneExtensionsproof · cited by 2
- SSet.Subcomplex.Pairing.RankFunction.Cell.image_face_index_complproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.Cell.map_app_objEquiv_symm_δ_indexproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.Cell.preimage_filtration_mapproof · cited by 1
- SSet.Subcomplex.Pairing.AncestralRel.dim_leproof · cited by 1
- SSet.Subcomplex.Pairing.IsInner.ne_laststatement · cited by 1
- SSet.Subcomplex.Pairing.IsInner.ne_zerostatement · cited by 1
- SSet.Subcomplex.PairingCore.isProper_pairing_iffproof · cited by 1
- SSet.Subcomplex.Pairing.pairingCoreproof · cited by 0