∀ {R : Type u_1} {A : Type u_2} {p : A → Prop} [inst : Semifield R] [inst_1 : StarRing R] [inst_2 : MetricSpace R]
  [inst_3 : IsTopologicalSemiring R] [inst_4 : ContinuousStar R] [inst_5 : Ring A] [inst_6 : StarRing A]
  [inst_7 : TopologicalSpace A] [inst_8 : Algebra R A] [inst_9 : ContinuousFunctionalCalculus R A p]
  [ContinuousMapZero.UniqueHom R A] {a : A} (ha : p a), cfcₙHom ha = cfcₙHom_of_cfcHom R ha