Theorems · Theorem · category theory

CategoryTheory.NonPreadditiveAbelian.lift_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C] {X Y : C}
  (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.prod.lift (CategoryTheory.CategoryStruct.id X) 0)
      (CategoryTheory.Limits.prod.map f f) =
    CategoryTheory.CategoryStruct.comp f (CategoryTheory.Limits.prod.lift (CategoryTheory.CategoryStruct.id Y) 0)

Defined in

Mathlib.CategoryTheory.Abelian.NonPreadditive

Cited by

1 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.NonPreadditiveAbelian