∀ {R : Type u_1} [inst : CommRing R] {K : Type u_3} {K' : Type u_4} [inst_1 : Field K] [inst_2 : Field K']
  [inst_3 : Algebra R K] [IsFractionRing R K] [inst_5 : Algebra R K'] [IsFractionRing R K']
  {I : FractionalIdeal (nonZeroDivisors R) K} (h : K →ₐ[R] K') [Nontrivial R], I ≠ 0 → FractionalIdeal.map h I ≠ 0