Theorems · Definition · category theory

CategoryTheory.rightDistrib

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v, u_1} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.Limits.HasBinaryCoproducts C] →
        [CategoryTheory.IsMonoidalRightDistrib C] →
          (X Y Z : C) →
            CategoryTheory.MonoidalCategoryStruct.tensorObj Y X ⨿ CategoryTheory.MonoidalCategoryStruct.tensorObj Z X ≅
              CategoryTheory.MonoidalCategoryStruct.tensorObj (Y ⨿ Z) X

The canonical right distributivity isomorphism

Defined in

Mathlib.CategoryTheory.Distributive.Monoidal

Cited by

11 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Limits.HasBinaryCoproductsCategoryTheory.IsMonoidalRightDistrib