∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {D : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} D] {Z : D} (F : CategoryTheory.Functor C D) (M : (x : C) → F.obj x ⟶ Z)
  (hM : ∀ (x y : C) (f : x ⟶ y), CategoryTheory.CategoryStruct.comp (F.map f) (M y) = M x) ⦃X Y : C⦄ (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (F.map f) (CategoryTheory.CategoryStruct.id (F.obj Y)) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.id (F.obj X))
      ((CategoryTheory.WithTerminal.incl.comp (CategoryTheory.WithTerminal.lift F M hM)).map f)