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Theorems · Theorem · category theory

CategoryTheory.Functor.coe_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) [inst_4 : F.Additive] {X Y : C},
  ⇑F.mapAddHom = F.map
Defined in
Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.PreadditiveCategoryTheory.Functor.Additive
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Around this declaration

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CategoryTheory.Abelian.preadditiveCoyonedaObj_map_surjective · cited by 1Abelian.preadditiveCoyone…DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveAddMonoidHom · cited by 3230AddMonoidHomCategoryTheory.Functor.Additive · cited by 1179Functor.AdditiveCategoryTheory.Functor.mapAddHom · cited by 13Functor.mapAddHomFunctor.coe_mapAddHomCITED BYCITES

Cites10

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Cited by1

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