Theorems · Theorem · category theory

CategoryTheory.Limits.biproduct.isoCoproduct_inv

∀ {J : Type w} {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {f : J → C} [inst_2 : CategoryTheory.Limits.HasBiproduct f],
  (CategoryTheory.Limits.biproduct.isoCoproduct f).inv =
    CategoryTheory.Limits.Sigma.desc (CategoryTheory.Limits.biproduct.ι f)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

2 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBiproduct