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Theorems · Theorem · algebraic topology

SSet.S.IsUniquelyCodimOneFace.cast

∀ {X : SSet} {x y : X.S} (hxy : x.IsUniquelyCodimOneFace y) {d : ℕ} (hd : x.dim = d),
  (x.cast hd).IsUniquelyCodimOneFace (y.cast ⋯)
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.IsUniquelyCodimOneFace
Cited by
2 results in Mathlib
Foundations
Depth 38 from the axioms · uses propext, Quot.sound
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Around this declaration

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

SSet.S.IsUniquelyCodimOneFace.existsUnique_δ_cast_simplex · cited by 2IsUniquelyCodimOneFace.ex…SSet.S.IsUniquelyCodimOneFace.unique · cited by 1IsUniquelyCodimOneFace.un…SSet · cited by 1283SSetSSet.S.dim · cited by 162S.dimSSet.S · cited by 69SSet.SSSet.S.cast · cited by 35S.castSSet.S.IsUniquelyCodimOneFace · cited by 19S.IsUniquelyCodimOneFaceSSet.S.cast_eq_self · cited by 5S.cast_eq_selfIsUniquelyCodimOneFace.castCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.