Theorems · Theorem · algebraic topology

AlgebraicTopology.DoldKan.Q_f_naturality_assoc

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C] (q n : ℕ)
  {X Y : CategoryTheory.SimplicialObject C} (f : X ⟶ Y) {Z : C}
  (h : (AlgebraicTopology.AlternatingFaceMapComplex.obj Y).X n ⟶ Z),
  CategoryTheory.CategoryStruct.comp (f.app (Opposite.op { len := n }))
      (CategoryTheory.CategoryStruct.comp ((AlgebraicTopology.DoldKan.Q q).f n) h) =
    CategoryTheory.CategoryStruct.comp ((AlgebraicTopology.DoldKan.Q q).f n)
      (CategoryTheory.CategoryStruct.comp (f.app (Opposite.op { len := n })) h)

Defined in

Mathlib.AlgebraicTopology.DoldKan.Projections

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive