Theorems · Theorem · algebraic topology
SSet.Subcomplex.PairingCore.isUniquelyCodimOneFace
∀ {X : SSet} {A : X.Subcomplex} (h : A.PairingCore) [h.IsProper] (s : h.ι),
(h.type₂ s).IsUniquelyCodimOneFace (h.type₁ s).toS- Cited by
- 2 results in Mathlib
- Foundations
- Depth 40 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.
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.N.toSstatement · cited by 171
- SSet.Subcomplex.N.toNstatement · cited by 126
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- SSet.Subcomplex.PairingCore.ιstatement and proof · cited by 42
- SSet.S.IsUniquelyCodimOneFacestatement · cited by 19
- SSet.Subcomplex.PairingCore.type₁statement · cited by 13
- SSet.Subcomplex.PairingCore.type₂statement · cited by 12
- SSet.Subcomplex.PairingCore.IsProperstatement and proof · cited by 10
- SSet.Subcomplex.PairingCore.IsProper.isUniquelyCodimOneFaceproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.PairingCore.isUniquelyCodimOneFace_indexstatement and proof · cited by 1
- SSet.Subcomplex.PairingCore.isUniquelyCodimOneFace_index_coestatement · cited by 0