Theorems · Theorem · algebraic topology

SSet.N.monoOfLE_comp_assoc

∀ {X : SSet} [inst : X.Nonsingular] {x y z : X.N} (h : x ≤ y) (h' : y ≤ z) {Z : SimplexCategory}
  (h_1 : { len := z.dim } ⟶ Z),
  CategoryTheory.CategoryStruct.comp (SSet.N.monoOfLE h) (CategoryTheory.CategoryStruct.comp (SSet.N.monoOfLE h') h_1) =
    CategoryTheory.CategoryStruct.comp (SSet.N.monoOfLE ⋯) h_1

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Nonsingular

Cited by

0 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SSet.Nonsingular