∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {H : CategoryTheory.Grp C} [inst_3 : CategoryTheory.IsCommMonObj H.X],
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.CartesianMonoidalCategory.lift (CategoryTheory.CategoryStruct.id H)
        (CategoryTheory.Grp.homMk' { hom := CategoryTheory.GrpObj.inv, isMonHom_hom := ⋯ }))
      CategoryTheory.MonObj.mul =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.toUnit H) CategoryTheory.MonObj.one