∀ {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 : TopologicalSpace A] [inst_6 : Ring A]
  [inst_7 : StarRing A] [inst_8 : Algebra R A] [inst_9 : ContinuousFunctionalCalculus R A p] [ContinuousInv₀ R]
  (f g : R → R) (a : A),
  (∀ x ∈ spectrum R a, g x ≠ 0) →
    autoParam (ContinuousOn f (spectrum R a)) cfc_map_div._auto_1 →
      autoParam (ContinuousOn g (spectrum R a)) cfc_map_div._auto_3 →
        autoParam (p a) cfc_map_div._auto_5 → cfc (fun x => f x / g x) a = cfc f a * Ring.inverse (cfc g a)