Theorems · Theorem · category theory

CategoryTheory.Limits.biprod.desc_eq

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {X Y : C}
  [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct X Y] {T : C} {f : X ⟶ T} {g : Y ⟶ T},
  CategoryTheory.Limits.biprod.desc f g =
    CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.biprod.fst f +
      CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.biprod.snd g

Defined in

Mathlib.CategoryTheory.Preadditive.Biproducts

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasBinaryBiproduct