Definition FNSucc x := FSucc (Fnormalize radix b precision x).

(* Specifications: *)
Theorem FNSuccCanonic : forall a : float, Fbounded b a -> Fcanonic radix b (FNSucc a).
Theorem FNSuccLt : forall a : float, (a < FNSucc a)%R.
Theorem FNSuccProp : forall x y : float, Fbounded b x -> Fbounded b y -> (x < y)%R -> (FNSucc x <= y)%R.
Theorem FNSuccEq : forall p q : float, Fbounded b p -> Fbounded b q -> p = q :>R -> FNSucc p = FNSucc q.
Theorem nNormMimLtvNum : (nNormMin radix precision < pPred (vNum b))%Z.
Theorem FSucFSucMid : forall p : float, Fnum (FSucc b radix precision p) <> nNormMin radix precision -> Fnum (FSucc b radix precision p) <> (- nNormMin radix precision)%Z -> Fminus radix (FSucc b radix precision (FSucc b radix precision p)) (FSucc b radix precision p) = Fminus radix (FSucc b radix precision p) p :>R.
Theorem FNSuccFNSuccMid : forall p : float, Fbounded b p -> Fnum (FNSucc b radix precision p) <> nNormMin radix precision -> Fnum (FNSucc b radix precision p) <> (- nNormMin radix precision)%Z -> Fminus radix (FNSucc b radix precision (FNSucc b radix precision p)) (FNSucc b radix precision p) = Fminus radix (FNSucc b radix precision p) p :>R.