∀ (F : Type u_1) (K : Type u_2) (L : Type u_3) [inst : Field F] [inst_1 : Field K] [inst_2 : Field L]
  [inst_3 : Algebra F K] [inst_4 : Algebra F L] [ne : Nonempty (K →ₐ[F] L)] [h : Normal F L],
  IsNormalClosure F K ↥(IntermediateField.normalClosure F K L)