∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : TopologicalSpace A] [inst_2 : NonUnitalSemiring A]
  [inst_3 : Module R A] [IsTopologicalSemiring A] (s : NonUnitalSubalgebra R A), IsTopologicalSemiring ↥s