Theorems · Definition · algebraic topology
SSet.Subcomplex.Pairing.AncestralRel
{X : SSet} → {A : X.Subcomplex} → (P : A.Pairing) → ↑P.II → ↑P.II → PropThe ancestrality relation on type (II) simplices.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 92 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.
- DFunLike.coeproof · cited by 62,936
- 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.pproof · cited by 32
Cited by38
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.PairingCore.isRegular_pairing_iffproof · cited by 4
- SSet.Subcomplex.Pairing.RankFunction.ltstatement · cited by 3
- SSet.Subcomplex.PairingCore.rankFunctionEquivproof · cited by 2
- SSet.Subcomplex.PairingCore.weakRankFunctionEquivproof · cited by 2
- SSet.Subcomplex.Pairing.rank'statement and proof · cited by 2
- SSet.Subcomplex.Pairing.AncestralRel.dim_lestatement and proof · cited by 1
- SSet.Subcomplex.Pairing.IsRegular.wfstatement · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.mk.injstatement and proof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.mk.noConfusionstatement and proof · cited by 1
- SSet.Subcomplex.Pairing.rank'_eqstatement and proof · cited by 1
- SSet.Subcomplex.Pairing.rank'_ltstatement and proof · cited by 1
- SSet.Subcomplex.Pairing.WeakRankFunction.mk.injstatement and proof · cited by 1