∀ {X : Type u_1} {R : Type u_2} {A : Type u_3} {p : A → Prop} [inst : CommSemiring R] [inst_1 : StarRing R]
  [inst_2 : MetricSpace R] [inst_3 : Nontrivial R] [inst_4 : IsTopologicalSemiring R] [inst_5 : ContinuousStar R]
  [inst_6 : NonUnitalRing A] [inst_7 : StarRing A] [inst_8 : TopologicalSpace A] [inst_9 : Module R A]
  [inst_10 : SMulCommClass R A A] [inst_11 : IsScalarTower R A A]
  [inst_12 : NonUnitalContinuousFunctionalCalculus R A p] [inst_13 : TopologicalSpace X] (f : X → R → R) (a : A),
  (Continuous fun x => (UniformOnFun.ofFun {quasispectrum R a}) (f x)) →
    autoParam (∀ (x : X), ContinuousOn (f x) (quasispectrum R a)) Continuous.cfcₙ_fun._auto_1 →
      autoParam (∀ (x : X), f x 0 = 0) Continuous.cfcₙ_fun._auto_3 → Continuous fun x => cfcₙ (f x) a