Theorems · Definition · category theory

CategoryTheory.Functor.mapAddHom

{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} → (X ⟶ Y) →+ (F.obj X ⟶ F.obj Y)

F.mapAddHom is an additive homomorphism whose underlying function is F.map.

Defined in

Mathlib.CategoryTheory.Preadditive.AdditiveFunctor

Cited by

13 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext

Assumes

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