{R : Type u} →
  {inst : Ring R} →
    {P : Sort u_1} →
      {toTopologicalSpace : TopologicalSpace R} →
        {toIsTopologicalRing : IsTopologicalRing R} →
          {toTopologicalSpace' : TopologicalSpace R} →
            {toIsTopologicalRing' : IsTopologicalRing R} →
              { toTopologicalSpace := toTopologicalSpace, toIsTopologicalRing := toIsTopologicalRing } =
                  { toTopologicalSpace := toTopologicalSpace', toIsTopologicalRing := toIsTopologicalRing' } →
                (toTopologicalSpace ≍ toTopologicalSpace' → P) → P