Theorems · Theorem · category theory

CategoryTheory.Limits.coprod.leftUnitor_hom

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasBinaryCoproducts C]
  [inst_2 : CategoryTheory.Limits.HasInitial C] (P : C),
  (CategoryTheory.Limits.coprod.leftUnitor P).hom =
    CategoryTheory.Limits.coprod.desc (CategoryTheory.Limits.initial.to P) (CategoryTheory.CategoryStruct.id P)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproductsCategoryTheory.Limits.HasInitial