Theorems · Theorem · category theory

CategoryTheory.Limits.biprod.conePointUniqueUpToIso_inv

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (X Y : C) [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct X Y] {b : CategoryTheory.Limits.BinaryBicone X Y}
  (hb : b.IsBilimit),
  (hb.isLimit.conePointUniqueUpToIso (CategoryTheory.Limits.BinaryBiproduct.isLimit X Y)).inv =
    CategoryTheory.Limits.biprod.desc b.inl b.inr

Auxiliary lemma for biprod.uniqueUpToIso.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproduct