Theorems · Definition · algebraic topology
SSet.Subcomplex.Pairing.rank
{X : SSet} → {A : X.Subcomplex} → (P : A.Pairing) → [P.IsRegular] → ↑P.II → ℕThe rank function with values in ℕ relative to the well founded
ancestrality relation of a regular pairing.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemstatement and proof · cited by 7,166
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.Nstatement · cited by 155
- SSet.Subcomplex.Pairingstatement and proof · cited by 117
- SSet.Subcomplex.Pairing.IIstatement and proof · cited by 58
- SSet.Subcomplex.Pairing.IsRegularstatement and proof · cited by 17
- SSet.Subcomplex.Pairing.rank'proof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.rankFunctionproof · cited by 2
- SSet.Subcomplex.Pairing.rank_ltstatement · cited by 0