∀ (K : Type u_3) [inst : Field K] {R₁ : Type u_4} [inst_1 : CommRing R₁] [inst_2 : IsDomain R₁] [inst_3 : Algebra R₁ K]
  [inst_4 : IsFractionRing R₁ K] {K' : Type u_5} [inst_5 : Field K'] [inst_6 : Algebra R₁ K']
  [inst_7 : IsFractionRing R₁ K'] (I : FractionalIdeal (nonZeroDivisors R₁) K) (h : K ≃ₐ[R₁] K'),
  FractionalIdeal.map (↑h) I⁻¹ = (FractionalIdeal.map (↑h) I)⁻¹