Theorems · Theorem · category theory

CategoryTheory.Functor.map_nsmul

∀ {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 : X ⟶ Y} {n : ℕ},
  F.map (n • f) = n • F.map f

Defined in: Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
Cited by: 0 results in Mathlib
Foundations: Depth 16 from the axioms · uses propext
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Preadditive CategoryTheory.Preadditive CategoryTheory.Functor.Additive

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Functor.mapstatement · cited by 8,698
CategoryTheory.Preadditivestatement and proof · cited by 3,309
CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
AddMonoidHom.map_nsmulproof · cited by 18
CategoryTheory.Functor.mapAddHomproof · cited by 13

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