Theorems · Theorem · category theory

CategoryTheory.AdditiveFunctor.ofExact_map_hom

∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_2 : CategoryTheory.Preadditive C] [inst_3 : CategoryTheory.Preadditive D]
  [inst_4 : CategoryTheory.Limits.HasZeroObject C] [inst_5 : CategoryTheory.Limits.HasZeroObject D]
  [inst_6 : CategoryTheory.Limits.HasBinaryBiproducts C] {F G : C ⥤ₑ D} (α : F ⟶ G),
  ((CategoryTheory.AdditiveFunctor.ofExact C D).map α).hom = α.hom

Defined in

Mathlib.CategoryTheory.Preadditive.AdditiveFunctor

Cited by

0 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.PreadditiveCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasBinaryBiproducts