∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_3, u_4} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{u_1, u_2} D] (F : CategoryTheory.Functor (CategoryTheory.WithTerminal C) D)
  (x y : C) (f : x ⟶ y),
  CategoryTheory.CategoryStruct.comp
      (((CategoryTheory.Functor.id (CategoryTheory.Functor C D)).obj (CategoryTheory.WithTerminal.incl.comp F)).map f)
      (F.map (CategoryTheory.WithTerminal.starTerminal.from (CategoryTheory.WithTerminal.of y))) =
    CategoryTheory.CategoryStruct.comp
      (F.map (CategoryTheory.WithTerminal.starTerminal.from (CategoryTheory.WithTerminal.of x)))
      (((CategoryTheory.Functor.const C).obj (F.obj CategoryTheory.WithTerminal.star)).map f)