Theorems · Definition · algebraic topology
SSet.Subcomplex.Pairing.RankFunction.toWeakRankFunction
{X : SSet} →
{A : X.Subcomplex} →
(P : A.Pairing) → (α : Type v) → [inst : PartialOrder α] → P.RankFunction α → P.WeakRankFunction αThe weak rank function attached to a rank function.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.N.toSproof · cited by 171
- SSet.S.dimproof · cited by 162
- SSet.Subcomplex.N.toNproof · cited by 126
- SSet.Subcomplex.Pairingstatement and proof · cited by 117
- SSet.Subcomplex.Pairing.RankFunctionstatement and proof · cited by 68
- SSet.Subcomplex.Pairing.IIproof · cited by 58
- SSet.Subcomplex.Pairing.AncestralRelproof · cited by 22
- SSet.Subcomplex.Pairing.RankFunction.rankproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.RankFunction.toWeakRankFunction_rankstatement and proof · cited by 0