{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u} →
      [inst_1 : CategoryTheory.Category.{v, u} C] →
        (F : CategoryTheory.Functor J C) →
          [inst_2 : CategoryTheory.Limits.HasLimit F] →
            (W : C) → ULift.{u₁, v} (W ⟶ CategoryTheory.Limits.limit F) ≅ F.cones.obj (Opposite.op W)