Theorems · Theorem · category theory

CategoryTheory.Limits.biproduct.conePointUniqueUpToIso_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]
  {b : CategoryTheory.Limits.Bicone f} (hb : b.IsBilimit),
  (hb.isLimit.conePointUniqueUpToIso (CategoryTheory.Limits.biproduct.isLimit f)).inv =
    CategoryTheory.Limits.biproduct.desc b.ι

Auxiliary lemma for biproduct.uniqueUpToIso.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBiproduct