∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (X Y Z : C) {Z_1 : C}
  (h : CategoryTheory.MonoidalCategoryStruct.tensorObj X (CategoryTheory.MonoidalCategoryStruct.tensorObj Y Z) ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (β_ X (CategoryTheory.MonoidalCategoryStruct.tensorObj Y Z)).inv h =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator Y Z X).hom
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft Y (β_ X Z).inv)
        (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator Y X Z).inv
          (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight (β_ X Y).inv Z)
            (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator X Y Z).hom h))))