fact: Definition DN_UP_parity_pos_prop := forall x xd xu, (0 < x)%R -> ~ format x -> canonical xd -> canonical xu -> F2R xd = round beta fexp Zfloor x -> F2R xu = round beta fexp Zceil x -> Z.even (Fnum xu) = negb (Z.even (Fnum xd)).
imports: Coq(ZArith Reals Lia) Zaux Raux Defs Round_pred Generic_fmt Float_prop Ulp