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Theorems · Theorem · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.wf_ancestralRel

∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {α : Type v} [inst : PartialOrder α] [WellFoundedLT α]
  (f : P.RankFunction α), WellFounded P.AncestralRel
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Rank
Cited by
1 results in Mathlib
Foundations
Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderWellFoundedLT
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.Subcomplex.Pairing.RankFunction.isRegular · cited by 2RankFunction.isRegularSet.Elem · cited by 7166Set.ElemPartialOrder · cited by 6410PartialOrderSSet · cited by 1283SSetWellFoundedLT · cited by 491WellFoundedLTSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.N · cited by 155Subcomplex.NSSet.Subcomplex.Pairing · cited by 117Subcomplex.PairingSSet.Subcomplex.Pairing.RankFunction · cited by 68Pairing.RankFunctionSSet.Subcomplex.Pairing.II · cited by 58Pairing.IISSet.Subcomplex.Pairing.AncestralRel · cited by 22Pairing.AncestralRelSSet.Subcomplex.Pairing.RankFunction.rank · cited by 10RankFunction.rankstrictAnti_nat_of_succ_lt · cited by 5strictAnti_nat_of_succ_ltwellFounded_iff_isEmpty_descending_chain · cited by 5wellFounded_iff_isEmpty_d…not_strictAnti_of_wellFoundedLT · cited by 5not_strictAnti_of_wellFou…SSet.Subcomplex.Pairing.RankFunction.lt · cited by 3RankFunction.ltRankFunction.wf_ancestralRelCITED BYCITES

Cites15

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Cited by1

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