∀ {R : Type u_1} {A : Type u_2} {p : A → Prop} [inst : CommSemiring R] [inst_1 : Nontrivial R] [inst_2 : StarRing R]
  [inst_3 : MetricSpace 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 : IsScalarTower R A A]
  [inst_11 : SMulCommClass R A A] [instCFCₙ : NonUnitalContinuousFunctionalCalculus R A p]
  [ContinuousMapZero.UniqueHom R A] (r : R) (f : R → R) (a : A),
  autoParam (ContinuousOn f ((fun x => r * x) '' quasispectrum R a)) cfcₙ_comp_const_mul._auto_1 →
    autoParam (f 0 = 0) cfcₙ_comp_const_mul._auto_3 →
      autoParam (p a) cfcₙ_comp_const_mul._auto_5 → cfcₙ (fun x => f (r * x)) a = cfcₙ f (r • a)