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