{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : TopologicalSpace A] →
            [inst_3 : Semiring B] →
              [inst_4 : TopologicalSpace B] →
                [inst_5 : Algebra R A] →
                  [inst_6 : Algebra R B] →
                    {motive : (A ≃A[R] B) → Sort u} →
                      ((toAlgEquiv : A ≃ₐ[R] B) →
                          (continuous_toFun : Continuous toAlgEquiv.toFun) →
                            (continuous_invFun : Continuous toAlgEquiv.invFun) →
                              motive
                                { toAlgEquiv := toAlgEquiv, continuous_toFun := continuous_toFun,
                                  continuous_invFun := continuous_invFun }) →
                        (t : A ≃A[R] B) → motive t