∀ {R : Type u_3} {S : Type u_4} {A : Type u_5} [inst : Semifield R] [inst_1 : Field S] [inst_2 : NonUnitalRing A]
  [inst_3 : Algebra R S] [inst_4 : Module R A] [inst_5 : Module S A] [IsScalarTower S A A] [SMulCommClass S A A]
  [IsScalarTower R S A] [inst_9 : TopologicalSpace R] [inst_10 : TopologicalSpace S] {a : A} (f : C(S, R)),
  QuasispectrumRestricts a ⇑f → ∀ [h_cpct : CompactSpace ↑(quasispectrum S a)], CompactSpace ↑(quasispectrum R a)