Theorems · Theorem · category theory

CategoryTheory.coprod_inr_leftDistrib_hom_assoc

∀ {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.IsMonoidalLeftDistrib C]
  {X Y Z Z_1 : C} (h : CategoryTheory.MonoidalCategoryStruct.tensorObj X (Y ⨿ Z) ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.leftDistrib X Y Z).hom h) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X CategoryTheory.Limits.coprod.inr) h

Defined in

Mathlib.CategoryTheory.Distributive.Monoidal

Cited by

0 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Limits.HasBinaryCoproductsCategoryTheory.IsMonoidalLeftDistrib