∀ {R : Type u_1} {A : Type u_2} [inst : CommRing R] [inst_1 : TopologicalSpace A] [inst_2 : NonUnitalRing A]
  [inst_3 : Module R A] [inst_4 : Star A] [IsTopologicalRing A] (s : NonUnitalStarSubalgebra R A), IsTopologicalRing ↥s