Definition Feven (p : float) := Even (Fnum p).Definition Fodd (p : float) := Odd (Fnum p).

(* Specifications: *)
Theorem FevenO : forall p : float, is_Fzero p -> Feven p.
Theorem FevenOrFodd : forall p : float, Feven p \/ Fodd p.
Theorem FevenSucProp : forall p : float, (Fodd p -> Feven (FSucc b radix precision p)) /\ (Feven p -> Fodd (FSucc b radix precision p)).
Theorem FoddSuc : forall p : float, Fodd p -> Feven (FSucc b radix precision p).
Theorem FevenSuc : forall p : float, Feven p -> Fodd (FSucc b radix precision p).
Theorem FevenFop : forall p : float, Feven p -> Feven (Fopp p).
Theorem FoddFop : forall p : float, Fodd p -> Fodd (Fopp p).
Theorem FevenPred : forall p : float, Fodd p -> Feven (FPred b radix precision p).
Theorem FoddPred : forall p : float, Feven p -> Fodd (FPred b radix precision p).