Definition Fnormalize (p : float) :=
  match Z_zerop (Fnum p) with
  | left _ => Float 0 (- dExp b)
  | right _ =>
      Fshift radix
        (min (precision - Fdigit radix p) (Zabs_nat (dExp b + Fexp p))) p
  end.

Theorem FcanonicLtPos : forall p q : float, Fcanonic p -> Fcanonic q -> (0 <= p)%R -> (p < q)%R -> (Fexp p < Fexp q)%Z \/ Fexp p = Fexp q /\ (Fnum p < Fnum q)%Z.