Theorems · Theorem · category theory

CategoryTheory.Limits.biproduct.desc_eq

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {J : Type}
  [inst_2 : Fintype J] {f : J → C} [inst_3 : CategoryTheory.Limits.HasBiproduct f] {T : C} {g : (j : J) → f j ⟶ T},
  CategoryTheory.Limits.biproduct.desc g =
    ∑ j, CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.biproduct.π f j) (g j)

Defined in

Mathlib.CategoryTheory.Preadditive.Biproducts

Cited by

1 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveFintypeCategoryTheory.Limits.HasBiproduct