∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {X Y : CategoryTheory.Grp C} (X' : CategoryTheory.Grp C) (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.CategoryStruct.id
        ((CategoryTheory.Grp.forget₂Mon C).obj (CategoryTheory.MonoidalCategoryStruct.tensorObj X' X)))
      (CategoryTheory.MonoidalCategoryStruct.whiskerLeft ((CategoryTheory.Grp.forget₂Mon C).obj X')
        ((CategoryTheory.Grp.forget₂Mon C).map f)) =
    CategoryTheory.CategoryStruct.comp
      ((CategoryTheory.Grp.forget₂Mon C).map (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X' f))
      (CategoryTheory.CategoryStruct.id
        ((CategoryTheory.Grp.forget₂Mon C).obj (CategoryTheory.MonoidalCategoryStruct.tensorObj X' Y)))