∀ {R : Type u_2} {A : Type u_1} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
  [inst_3 : Module R A] {S T : NonUnitalStarSubalgebra R A} (h : S ≤ T) (x : ↥S),
  (NonUnitalSubalgebra.inclusion h).toFun (star x) = (NonUnitalSubalgebra.inclusion h).toFun (star x)