{R : Type u_1} →
  {S : Type u_2} →
    {A : Type u_3} →
      [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 R S A] →
                    [inst_7 : TopologicalSpace R] →
                      [inst_8 : TopologicalSpace S] →
                        [ContinuousSMul R S] →
                          [IsScalarTower S A A] →
                            [SMulCommClass S A A] →
                              {a : A} →
                                {f : C(S, R)} →
                                  QuasispectrumRestricts a ⇑f → ↑(quasispectrum S a) ≃ₜ ↑(quasispectrum R a)