{X : Type u_1} →
  [inst : TopologicalSpace X] →
    {A : Type u_2} →
      [inst_1 : Ring A] →
        [inst_2 : StarRing A] → [inst_3 : Algebra ℝ A] → (C(X, NNReal) →⋆ₐ[NNReal] A) → C(X, ℝ) →⋆ₐ[ℝ] A