Theorems · Theorem · category theory

CategoryTheory.BraidedCategory.braiding_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').hom =
    CategoryTheory.CategoryStruct.comp (β_ X X').hom (CategoryTheory.MonoidalCategoryStruct.tensorHom g f)

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

8 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory