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Theorems · Theorem · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.isRegular

∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {α : Type v} [inst : PartialOrder α] [WellFoundedLT α]
  (f : P.RankFunction α) [P.IsProper], P.IsRegular
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Rank
Cited by
2 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderWellFoundedLTSSet.Subcomplex.Pairing.IsProper
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Around this declaration

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

SSet.Subcomplex.Pairing.isRegular_iff_nonempty_rankFunction · cited by 1Pairing.isRegular_iff_non…SSet.Subcomplex.PairingCore.RankFunction.isRegular · cited by 0RankFunction.isRegularPartialOrder · cited by 6410PartialOrderSSet · cited by 1283SSetWellFoundedLT · cited by 491WellFoundedLTSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.Pairing · cited by 117Subcomplex.PairingSSet.Subcomplex.Pairing.RankFunction · cited by 68Pairing.RankFunctionSSet.Subcomplex.Pairing.IsProper · cited by 58Pairing.IsProperSSet.Subcomplex.Pairing.IsRegular · cited by 17Pairing.IsRegularSSet.Subcomplex.Pairing.RankFunction.wf_ancestralRel · cited by 1RankFunction.wf_ancestral…RankFunction.isRegularCITED BYCITES

Cites9

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Cited by2

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