∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : Zero X] {A : Type u_2} [inst_2 : NonUnitalRing A]
  [inst_3 : StarRing A] [inst_4 : Module ℝ A] (φ : ContinuousMapZero X NNReal →⋆ₙₐ[NNReal] A)
  (f : ContinuousMapZero X NNReal),
  φ.realContinuousMapZeroOfNNReal
      ({ toFun := NNReal.toReal, continuous_toFun := NNReal.continuous_coe, map_zero' := ⋯ }.comp f) =
    φ f