Theorems · Theorem · category theory

CategoryTheory.BraidedCategory.braiding_naturality_right_assoc

∀ {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) {Z_1 : C}
  (h : CategoryTheory.MonoidalCategoryStruct.tensorObj Z X ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X f)
      (CategoryTheory.CategoryStruct.comp (β_ X Z).hom h) =
    CategoryTheory.CategoryStruct.comp (β_ X Y).hom
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f X) h)

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

7 results in Mathlib

Foundations

Depth 6 from the axioms · uses Quot.sound

Assumes

CategoryTheory.BraidedCategory