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 Fcanonic_Rle_Zle : forall x y : float, Fcanonic x -> Fcanonic y -> (Rabs x <= Rabs y)%R -> (Fexp x <= Fexp y)%Z.