Theorems · Theorem · category theory

CategoryTheory.NonPreadditiveAbelian.lift_sub_lift

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C] {X Y : C}
  (a b c d : X ⟶ Y),
  CategoryTheory.Limits.prod.lift a b - CategoryTheory.Limits.prod.lift c d =
    CategoryTheory.Limits.prod.lift (a - c) (b - d)

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