∀ {A : Type u_1} {B : Type u_6} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] [inst_3 : IsDomain A]
  [inst_4 : IsIntegrallyClosed A] [inst_5 : IsDomain B] [inst_6 : IsIntegrallyClosed B] [inst_7 : Module.Finite A B]
  [inst_8 : Module.IsTorsionFree A B] (x : B),
  (algebraMap A (FractionRing A)) ((Algebra.intTrace A B) x) =
    (Algebra.trace (FractionRing A) (FractionRing B)) ((algebraMap B (FractionRing B)) x)