Theorems · Theorem · category theory

CategoryTheory.Adjunction.homAddEquiv_sub

∀ {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] {F : CategoryTheory.Functor C D}
  {G : CategoryTheory.Functor D C} (adj : F ⊣ G) [F.Additive] (X : C) (Y : D) (f f' : F.obj X ⟶ Y),
  (adj.homEquiv X Y) (f - f') = (adj.homEquiv X Y) f - (adj.homEquiv X Y) f'

Defined in

Mathlib.CategoryTheory.Adjunction.Additive

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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