Theorems · Inductive type · category theory

CategoryTheory.Functor.Additive

{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] →
        [CategoryTheory.Preadditive C] → [CategoryTheory.Preadditive D] → CategoryTheory.Functor C D → Prop

A functor F is additive provided F.map is an additive homomorphism.

Defined in

Mathlib.CategoryTheory.Preadditive.AdditiveFunctor

Cited by

1,179 results in Mathlib

Foundations

Depth 2 from the axioms, rests on 4 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Preadditive