{R : Type u} →
  {S : Type v} →
    {A : Type w} →
      [inst : Semifield R] →
        [inst_1 : StarRing R] →
          [inst_2 : TopologicalSpace R] →
            [inst_3 : IsTopologicalSemiring R] →
              [inst_4 : ContinuousStar R] →
                [inst_5 : Field S] →
                  [inst_6 : StarRing S] →
                    [inst_7 : TopologicalSpace S] →
                      [inst_8 : IsTopologicalRing S] →
                        [inst_9 : ContinuousStar S] →
                          [inst_10 : NonUnitalRing A] →
                            [inst_11 : StarRing A] →
                              [inst_12 : Algebra R S] →
                                [inst_13 : Module R A] →
                                  [inst_14 : Module S A] →
                                    [IsScalarTower S A A] →
                                      [SMulCommClass S A A] →
                                        [IsScalarTower R S A] →
                                          [StarModule R S] →
                                            [ContinuousSMul R S] →
                                              {a : A} →
                                                (ContinuousMapZero (↑(quasispectrum S a)) S →⋆ₙₐ[S] A) →
                                                  {f : C(S, R)} →
                                                    QuasispectrumRestricts a ⇑f →
                                                      ContinuousMapZero (↑(quasispectrum R a)) R →⋆ₙₐ[R] A