{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] →
                    (toAlgEquiv : A ≃ₐ[R] B) →
                      autoParam (Continuous toAlgEquiv.toFun) Homeomorph.continuous_toFun._autoParam →
                        autoParam (Continuous toAlgEquiv.invFun) Homeomorph.continuous_invFun._autoParam → A ≃A[R] B