∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
  {S T : NonUnitalSubalgebra R A} (h : S ≤ T) (x : A) (hx : x ∈ S), (NonUnitalSubalgebra.inclusion h) ⟨x, hx⟩ = ⟨x, ⋯⟩