Theorems · Theorem · category theory

CategoryTheory.Functor.map_add

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.Preadditive C]
  [inst_3 : CategoryTheory.Preadditive D] (F : CategoryTheory.Functor C D) [F.Additive] {X Y : C} {f g : X ⟶ Y},
  F.map (f + g) = F.map f + F.map g

Defined in

Mathlib.CategoryTheory.Preadditive.AdditiveFunctor

Cited by

24 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

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