Theorems · Theorem · algebraic topology

SSet.Truncated.Edge.CompStruct.idCompId_simplex

∀ {X : SSet.Truncated 2} (x : X.obj (Opposite.op { obj := { len := 0 }, property := SSet.Truncated.Edge._proof_1 })),
  (SSet.Truncated.Edge.CompStruct.idCompId x).simplex =
    (CategoryTheory.ConcreteCategory.hom
        (X.map
          (SimplexCategory.Truncated.σ₂ 0 SSet.Truncated.Edge.CompStruct._proof_2 SSet.Truncated.Edge._proof_2).op))
      ((CategoryTheory.ConcreteCategory.hom
          (X.map (SimplexCategory.Truncated.σ₂ 0 SSet.Truncated.Edge._proof_3 SSet.Truncated.Edge._proof_1).op))
        x)

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated

Cited by

1 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound