∀ {A : Type u_6} [inst : CategoryTheory.Category.{u_5, u_6} A] {B : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} B] {T : Type u_2} [inst_2 : CategoryTheory.Category.{u_1, u_2} T]
  (L : CategoryTheory.Functor A T) (R : CategoryTheory.Functor B T) {X Y : CategoryTheory.Comma L R} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (R.op.map (Opposite.op f.right))
      (Opposite.unop
          (Opposite.op { left := Opposite.op X.right, right := Opposite.op X.left, hom := Opposite.op X.hom })).hom =
    CategoryTheory.CategoryStruct.comp
      (Opposite.unop
          (Opposite.op { left := Opposite.op Y.right, right := Opposite.op Y.left, hom := Opposite.op Y.hom })).hom
      (L.op.map (Opposite.op f.left))