Theorems · Theorem · category theory

CategoryTheory.BraidedCategory.braiding_inv_naturality

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {X X' Y Y' : C} (f : X ⟶ Y) (g : X' ⟶ Y'),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.tensorHom f g) (β_ Y' Y).inv =
    CategoryTheory.CategoryStruct.comp (β_ X' X).inv (CategoryTheory.MonoidalCategoryStruct.tensorHom g f)

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory