unfold FNodd, FNeven, FNPred in |- *.
intros p H' H'0.
rewrite FcanonicFnormalizeEq; auto with float arith.
apply FevenPred; auto.
Qed.

Theorem FNoddPred :
forall p : float,
Fbounded b p -> FNeven p -> FNodd (FNPred b radix precision p).