Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.externalProductSwap_inv_app_app

∀ (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] [inst_4 : CategoryTheory.BraidedCategory C]
  (X : CategoryTheory.Functor J₁ C × CategoryTheory.Functor J₂ C) (X_1 : J₂ × J₁),
  ((CategoryTheory.MonoidalCategory.externalProductSwap J₁ J₂ C).inv.app X).app X_1 =
    (β_ (X.1.obj X_1.2) (X.2.obj X_1.1)).inv

Defined in

Mathlib.CategoryTheory.Monoidal.ExternalProduct.Basic

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory