Theorems · Theorem · category theory

CategoryTheory.Limits.biprod.inr_desc_assoc

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {W X Y : C} [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct X Y] (f : X ⟶ W) (g : Y ⟶ W) {Z : C} (h : W ⟶ Z),
  CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.biprod.inr
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.biprod.desc f g) h) =
    CategoryTheory.CategoryStruct.comp g h

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

7 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproduct