Theorems · Theorem · algebraic topology

CategoryTheory.SimplicialObject.Split.Hom.comm_assoc

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {S₁ S₂ : CategoryTheory.SimplicialObject.Split C}
  (self : S₁.Hom S₂) (n : ℕ) {Z : C} (h : S₂.X.obj (Opposite.op { len := n }) ⟶ Z),
  CategoryTheory.CategoryStruct.comp (S₁.s.ι n)
      (CategoryTheory.CategoryStruct.comp (self.F.app (Opposite.op { len := n })) h) =
    CategoryTheory.CategoryStruct.comp (self.f n) (CategoryTheory.CategoryStruct.comp (S₂.s.ι n) h)

Defined in

Mathlib.AlgebraicTopology.SimplicialObject.Split

Cited by

1 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category