Theorems · Theorem · algebraic topology

SSet.spine_map_vertex

∀ (X : SSet) (n : ℕ) (Δ : X.obj (Opposite.op { len := n })) {m : ℕ} (φ : { len := m } ⟶ { len := n }) (i : Fin (m + 1)),
  (X.spine m ((CategoryTheory.ConcreteCategory.hom (X.map φ.op)) Δ)).vertex i =
    (X.spine n Δ).vertex ((SimplexCategory.Hom.toOrderHom φ) i)

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Path

Cited by

0 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound