∀ {R : Type u_1} (K : Type u_2) [inst : CommRing R] [inst_1 : Field K] [inst_2 : Algebra R K]
  [inst_3 : IsFractionRing R K] [inst_4 : IsDomain R] [inst_5 : IsDedekindDomain R] (K' : Type u_3) [inst_6 : Field K']
  [inst_7 : Algebra R K'] [inst_8 : IsFractionRing R K'] (I : ↥(nonZeroDivisors (Ideal R))),
  (Units.map ↑(FractionalIdeal.canonicalEquiv (nonZeroDivisors R) K K')) ((FractionalIdeal.mk0 K) I) =
    (FractionalIdeal.mk0 K') I