Theorems · Theorem · algebraic topology

SSet.S.IsUniquelyCodimOneFace.of_iso

∀ {X : SSet} {x y : X.S},
  x.IsUniquelyCodimOneFace y →
    ∀ {Y : SSet} (e : X ≅ Y),
      { dim := x.dim,
            simplex :=
              (CategoryTheory.ConcreteCategory.hom (e.hom.app (Opposite.op { len := x.dim })))
                x.simplex }.IsUniquelyCodimOneFace
        { dim := y.dim,
          simplex := (CategoryTheory.ConcreteCategory.hom (e.hom.app (Opposite.op { len := y.dim }))) y.simplex }

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.IsUniquelyCodimOneFace

Cited by

2 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound