Theorems · Theorem · algebraic topology

AlgebraicTopology.DoldKan.P_f_naturality

∀ {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),
  CategoryTheory.CategoryStruct.comp (f.app (Opposite.op { len := n })) ((AlgebraicTopology.DoldKan.P q).f n) =
    CategoryTheory.CategoryStruct.comp ((AlgebraicTopology.DoldKan.P q).f n) (f.app (Opposite.op { len := n }))

Defined in

Mathlib.AlgebraicTopology.DoldKan.Projections

Cited by

3 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive