{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {F G : CategoryTheory.Functor J C} →
          (F ⟶ G) → CategoryTheory.Functor (CategoryTheory.Limits.Cone F) (CategoryTheory.Limits.Cone G)