∀ {R : Type u_2} {A : Type u_1} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
  {S T : NonUnitalSubalgebra R A} (h : S ≤ T) (x x_1 : ↥S), Set.inclusion h (x * x_1) = Set.inclusion h (x * x_1)