Theorems · Theorem · category theory

CategoryTheory.Limits.coprod.desc_comp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {V W X Y : C}
  [inst_1 : CategoryTheory.Limits.HasBinaryCoproduct X Y] (f : V ⟶ W) (g : X ⟶ V) (h : Y ⟶ V),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.coprod.desc g h) f =
    CategoryTheory.Limits.coprod.desc (CategoryTheory.CategoryStruct.comp g f) (CategoryTheory.CategoryStruct.comp h f)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

22 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproduct