∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (X : CategoryTheory.CommMon C),
  CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.one
      (CategoryTheory.Iso.refl ((CategoryTheory.Functor.id C).mapCommMon.obj X).X).hom =
    CategoryTheory.MonObj.one