∀ {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] {ι : Type u_3}
  (f : ι → R → R) (a : A) (s : Finset ι),
  autoParam (∀ i ∈ s, ContinuousOn (f i) (quasispectrum R a)) cfcₙ_sum._auto_1 →
    autoParam (∀ i ∈ s, f i 0 = 0) cfcₙ_sum._auto_3 → cfcₙ (∑ i ∈ s, f i) a = ∑ i ∈ s, cfcₙ (f i) a