∀ (K : Type u_1) {L : Type u_2} {L' : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Field L']
  [inst_3 : Algebra K L] [inst_4 : Algebra K L'] [inst_5 : Algebra L' L] [inst_6 : IsScalarTower K L' L]
  {E : IntermediateField L' L},
  (IntermediateField.restrictScalars K E).toSubalgebra = Subalgebra.restrictScalars K E.toSubalgebra