Theorems · Theorem · category theory

CategoryTheory.Limits.IsBilimit.total

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {J : Type u_1}
  [inst_2 : Fintype J] {f : J → C} {b : CategoryTheory.Limits.Bicone f} (i : b.IsBilimit),
  ∑ j, CategoryTheory.CategoryStruct.comp (b.π j) (b.ι j) = CategoryTheory.CategoryStruct.id b.pt

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.PreadditiveFintype