Theorems · Theorem · algebraic topology

AlgebraicTopology.DoldKan.map_P

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C] {D : Type u_2}
  [inst_2 : CategoryTheory.Category.{v_2, u_2} D] [inst_3 : CategoryTheory.Preadditive D]
  (G : CategoryTheory.Functor C D) [G.Additive] (X : CategoryTheory.SimplicialObject C) (q n : ℕ),
  G.map ((AlgebraicTopology.DoldKan.P q).f n) = (AlgebraicTopology.DoldKan.P q).f n

Defined in

Mathlib.AlgebraicTopology.DoldKan.Projections

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Functor.Additive