Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.dim_p
∀ {X : SSet} {A : X.Subcomplex} (P : A.Pairing) [P.IsProper] (x : ↑P.II), (↑(P.p x)).dim = (↑x).dim + 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.S.dimstatement · cited by 162
- 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
Cited by2
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.RankFunction.Cell.range_mapproof · cited by 2
- SSet.Subcomplex.Pairing.RankFunction.mapN_type₁proof · cited by 0