∀ (R : Type u_1) {A : Type u_2} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : Module R A]
  [inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A] (s t : Set A),
  s ⊆ t → NonUnitalSubalgebra.centralizer R t ≤ NonUnitalSubalgebra.centralizer R s