Theorems · Theorem · category theory

CategoryTheory.coprod_inr_rightDistrib_hom

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.Limits.HasBinaryCoproducts C] [inst_3 : CategoryTheory.IsMonoidalRightDistrib C] {X Y Z : C},
  CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr (∂R X Y Z).hom =
    CategoryTheory.MonoidalCategoryStruct.whiskerRight CategoryTheory.Limits.coprod.inr X

Defined in

Mathlib.CategoryTheory.Distributive.Monoidal

Cited by

2 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Limits.HasBinaryCoproductsCategoryTheory.IsMonoidalRightDistrib