Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.AncestralRel.dim_le
∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} [P.IsProper] {x y : ↑P.II}, P.AncestralRel x y → (↑x).dim ≤ (↑y).dim- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- 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 and proof · cited by 171
- SSet.S.dimstatement and proof · cited by 162
- SSet.Subcomplex.Nstatement · cited by 155
- SSet.Subcomplex.N.toNstatement and proof · 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
- SSet.Subcomplex.Pairing.AncestralRelstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.WeakRankFunction.wf_ancestralRelproof · cited by 1