Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.externalProductFlip

(J₁ : Type u₁) →
  (J₂ : Type u₂) →
    (C : Type u₃) →
      [inst : CategoryTheory.Category.{v₁, u₁} J₁] →
        [inst_1 : CategoryTheory.Category.{v₂, u₂} J₂] →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
            [inst_3 : CategoryTheory.MonoidalCategory C] →
              [CategoryTheory.BraidedCategory C] →
                (CategoryTheory.Functor.postcompose₂.obj (CategoryTheory.flipFunctor J₁ J₂ C)).obj
                    (CategoryTheory.MonoidalCategory.externalProductBifunctorCurried J₁ J₂ C) ≅
                  (CategoryTheory.MonoidalCategory.externalProductBifunctorCurried J₂ J₁ C).flip

A version of externalProductSwap phrased in terms of the curried functors.

Defined in

Mathlib.CategoryTheory.Monoidal.ExternalProduct.Basic

Cited by

2 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory