Theorems · Theorem · category theory

CategoryTheory.Limits.biprod.map_snd_assoc

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {W X Y Z : C} [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct W X]
  [inst_3 : CategoryTheory.Limits.HasBinaryBiproduct Y Z] (f : W ⟶ Y) (g : X ⟶ Z) {Z_1 : C} (h : Z ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.biprod.map f g)
      (CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.biprod.snd h) =
    CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.biprod.snd (CategoryTheory.CategoryStruct.comp g h)

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.HasBinaryBiproductCategoryTheory.Limits.HasBinaryBiproduct