∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (H : CategoryTheory.Grp C) [inst_3 : CategoryTheory.IsCommMonObj H.X],
  CategoryTheory.MonObj.one.hom.hom = CategoryTheory.MonObj.one