∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] (M : C)
  [inst_2 : CategoryTheory.MonObj M] [inst_3 : CategoryTheory.BraidedCategory C] [CategoryTheory.IsCommMonObj M],
  CategoryTheory.CategoryStruct.comp (β_ M M).inv CategoryTheory.MonObj.mul = CategoryTheory.MonObj.mul