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Theorems · Theorem · algebraic topology

SSet.Subcomplex.Pairing.rank_lt

∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} [inst : P.IsRegular] {x y : ↑P.II},
  P.AncestralRel x y → P.rank x < P.rank y
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RankNat
Cited by
0 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SSet.Subcomplex.Pairing.IsRegular
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Around this declaration

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SSet.Subcomplex.Pairing.rankFunction · cited by 2Pairing.rankFunctionSet.Elem · cited by 7166Set.ElemSSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.N · cited by 155Subcomplex.NSSet.Subcomplex.Pairing · cited by 117Subcomplex.PairingSSet.Subcomplex.Pairing.II · cited by 58Pairing.IISSet.Subcomplex.Pairing.AncestralRel · cited by 22Pairing.AncestralRelSSet.Subcomplex.Pairing.IsRegular · cited by 17Pairing.IsRegularSSet.Subcomplex.Pairing.rank · cited by 1Pairing.rankSSet.Subcomplex.Pairing.rank'_lt · cited by 1Pairing.rank'_ltPairing.rank_ltCITED BYCITES

Cites10

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Cited by1

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