∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : MetricSpace R]
  [inst_3 : IsTopologicalSemiring R] [inst_4 : ContinuousStar R] [inst_5 : NonUnitalRing A] [inst_6 : StarRing A]
  [inst_7 : TopologicalSpace A] [inst_8 : Module R A] [inst_9 : IsScalarTower R A A] [inst_10 : SMulCommClass R A A],
  (∀ (s : Set R) [CompactSpace ↑s] [inst_12 : Fact (0 ∈ s)] (φ ψ : ContinuousMapZero (↑s) R →⋆ₙₐ[R] A),
      Continuous ⇑φ → Continuous ⇑ψ → φ (ContinuousMapZero.id s) = ψ (ContinuousMapZero.id s) → φ = ψ) →
    ContinuousMapZero.UniqueHom R A