∀ {K : Type u_2} {L : Type u_1} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (F : IntermediateField K L),
  Function.RightInverse (fun E => ⟨IntermediateField.restrictScalars K E, ⋯⟩) fun E => IntermediateField.extendScalars ⋯