proposition: Lemma gpaco2_mon clo r r' rg rg' x0 x1 (IN: @gpaco2 clo r rg x0 x1) (LEr: r <2= r') (LErg: rg <2= rg'): @gpaco2 clo r' rg' x0 x1.
proof: Proof. destruct IN. econstructor. eapply rclo2_mon. apply IN. intros. destruct PR; [|right; apply LEr, H]. left. eapply paco2_mon. apply H. intros. destruct PR. - left. apply LErg, H0. - right. apply LEr, H0. Qed.
imports: Program.Basics Paco(paco2 pacotac)