∀ {X : Type u_2} [inst : TopologicalSpace X] {A : Type u_1} [inst_1 : Ring A] [inst_2 : StarRing A]
  [inst_3 : Algebra ℝ A] (φ : C(X, NNReal) →⋆ₐ[NNReal] A) (r : ℝ),
  φ ((algebraMap ℝ C(X, ℝ)) r).toNNReal - φ (-(algebraMap ℝ C(X, ℝ)) r).toNNReal = (algebraMap ℝ A) r