Theorems · Definition · algebraic topology
SSet.S.IsUniquelyCodimOneFace
{X : SSet} → X.S → X.S → PropThe property that a simplex is uniquely a 1-codimensional face of another simplex
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Quiver.Hom.opproof · cited by 1,948
- SSetstatement and proof · cited by 1,283
- CategoryTheory.Monoproof · cited by 893
- ExistsUniqueproof · cited by 268
- SSet.S.dimproof · cited by 162
- SSet.S.simplexproof · cited by 111
- SSet.Sstatement and proof · cited by 69
Cited by24
Results whose statement or proof uses this declaration.
- SSet.S.IsUniquelyCodimOneFace.indexstatement and proof · cited by 14
- SSet.Subcomplex.Pairing.isUniquelyCodimOneFacestatement · cited by 12
- SSet.S.IsUniquelyCodimOneFace.δ_indexstatement and proof · cited by 7
- SSet.S.IsUniquelyCodimOneFace.dim_eqstatement and proof · cited by 6
- SSet.S.IsUniquelyCodimOneFace.δ_eq_iffstatement and proof · cited by 3
- SSet.S.IsUniquelyCodimOneFace.caststatement and proof · cited by 2
- SSet.S.IsUniquelyCodimOneFace.existsUnique_δ_cast_simplexstatement and proof · cited by 2
- SSet.S.IsUniquelyCodimOneFace.lestatement and proof · cited by 2
- SSet.S.IsUniquelyCodimOneFace.of_isostatement and proof · cited by 2
- SSet.Subcomplex.PairingCore.isUniquelyCodimOneFacestatement · cited by 2
- SSet.Subcomplex.PairingCore.IsProper.isUniquelyCodimOneFacestatement · cited by 1
- SSet.Subcomplex.Pairing.IsProper.isUniquelyCodimOneFacestatement · cited by 1