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Theorems · Theorem · algebraic topology

SSet.Subcomplex.PairingCore.IsProper.isUniquelyCodimOneFace

∀ {X : SSet} {A : X.Subcomplex} {h : A.PairingCore} [self : h.IsProper] (s : h.ι),
  (h.type₂ s).IsUniquelyCodimOneFace (h.type₁ s).toS
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
Cited by
1 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Quot.sound
Assumes
SSet.Subcomplex.PairingCore.IsProper
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Around this declaration

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

SSet.Subcomplex.PairingCore.isUniquelyCodimOneFace · cited by 2PairingCore.isUniquelyCod…SSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.N.toS · cited by 171N.toSSSet.Subcomplex.N.toN · cited by 126N.toNSSet.Subcomplex.PairingCore · cited by 50Subcomplex.PairingCoreSSet.Subcomplex.PairingCore.ι · cited by 42PairingCore.ιSSet.S.IsUniquelyCodimOneFace · cited by 19S.IsUniquelyCodimOneFaceSSet.Subcomplex.PairingCore.type₁ · cited by 13PairingCore.type₁SSet.Subcomplex.PairingCore.type₂ · cited by 12PairingCore.type₂SSet.Subcomplex.PairingCore.IsProper · cited by 10PairingCore.IsProperIsProper.isUniquelyCodimOneFa…CITED BYCITES

Cites10

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Cited by1

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