Theorems · Theorem · category theory

CategoryTheory.NonPreadditiveAbelian.sub_comp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C] {X Y Z : C}
  (f g : X ⟶ Y) (h : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp (f - g) h =
    CategoryTheory.CategoryStruct.comp f h - CategoryTheory.CategoryStruct.comp g h

Defined in

Mathlib.CategoryTheory.Abelian.NonPreadditive

Cited by

1 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.NonPreadditiveAbelian