Theorems · Theorem · algebraic topology

SSet.Truncated.StrictSegal.spineToSimplex_edge

∀ {n : ℕ} {X : SSet.Truncated (n + 1)} (sx : X.StrictSegal) (m : ℕ) (h : m ≤ n + 1) (f : X.Path m) (j l : ℕ)
  (hjl : j + l ≤ m),
  (CategoryTheory.ConcreteCategory.hom
        (X.map (SimplexCategory.Truncated.Hom.tr (SimplexCategory.intervalEdge j l hjl) ⋯ h).op))
      (sx.spineToSimplex m h f) =
    sx.spineToDiagonal l ⋯ (f.interval j l hjl)

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.StrictSegal

Cited by

1 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound