Theorems · Theorem · category theory

CategoryTheory.BraidedCategory.braiding_naturality_right

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.MonoidalCategory C}
  [self : CategoryTheory.BraidedCategory C] (X : C) {Y Z : C} (f : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X f) (β_ X Z).hom =
    CategoryTheory.CategoryStruct.comp (β_ X Y).hom (CategoryTheory.MonoidalCategoryStruct.whiskerRight f X)

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

8 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.BraidedCategory