Theorems · Theorem · category theory

CategoryTheory.Limits.coprod.triangle

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasBinaryCoproducts C]
  [inst_2 : CategoryTheory.Limits.HasInitial C] (X Y : C),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.coprod.associator X (⊥_ C) Y).hom
      (CategoryTheory.Limits.coprod.map (CategoryTheory.CategoryStruct.id X)
        (CategoryTheory.Limits.coprod.leftUnitor Y).hom) =
    CategoryTheory.Limits.coprod.map (CategoryTheory.Limits.coprod.rightUnitor X).hom
      (CategoryTheory.CategoryStruct.id Y)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproductsCategoryTheory.Limits.HasInitial