∀ {R : Type u_1} {A : Type u_2} {p : A → Prop} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : MetricSpace R]
  [inst_3 : IsTopologicalSemiring R] [inst_4 : ContinuousStar R] [inst_5 : TopologicalSpace A] [inst_6 : Ring A]
  [inst_7 : StarRing A] [inst_8 : Algebra R A] [instCFC : ContinuousFunctionalCalculus R A p] (f : R → R) (a : A)
  (ha : autoParam (p a) _auto_56✝) (hf : autoParam (ContinuousOn f (spectrum R a)) _auto_58✝),
  cfc f a = (cfcHom ha) { toFun := (spectrum R a).restrict f, continuous_toFun := ⋯ }