∀ {R : Type u_1} [inst : CommRing R] {A : Type u_5} {B : Type u_6} [inst_1 : Ring A] [inst_2 : Ring B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B] (e : A ≃ₐ[R] B), Algebra.IsIntegral R A ↔ Algebra.IsIntegral R B