Theorems · Theorem · category theory

CategoryTheory.BraidedCategory.braiding_inv_naturality_right_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : 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_ Z X).inv h) =
    CategoryTheory.CategoryStruct.comp (β_ Y X).inv
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f X) h)

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory