Definition Fulp (p : float) :=
  powerRZ radix (Fexp (Fnormalize radix b precision p)).

Theorem RoundedModeProjectorIdemEq : forall (P : R -> float -> Prop) (p q : float), RoundedModeP b radix P -> Fbounded b p -> P (FtoR radix p) q -> p = q :>R.