∀ (F : Type u) {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {K : Type w} [inst_3 : Field K]
  [inst_4 : Algebra F K] [inst_5 : Algebra E K] [inst_6 : IsScalarTower F E K],
  separableClosure E K = ⊥ →
    IntermediateField.map (IsScalarTower.toAlgHom F E K) (separableClosure F E) = separableClosure F K