∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.CartesianMonoidalCategory C] [inst_3 : CategoryTheory.BraidedCategory C] {X Y : C}
  (f : X ⟶ Y), CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.one f = CategoryTheory.MonObj.one