proposition: Theorem Rnd_UP_pt_unique : forall F : R -> Prop, forall x f1 f2 : R, Rnd_UP_pt F x f1 -> Rnd_UP_pt F x f2 -> f1 = f2.
proof: Proof. intros F. apply round_unique. apply Rnd_UP_pt_monotone. Qed.
imports: Coq(Reals) Raux Defs