proposition: Lemma gpaco1_mon clo r r' rg rg' x0 (IN: @gpaco1 clo r rg x0) (LEr: r <1= r') (LErg: rg <1= rg'): @gpaco1 clo r' rg' x0.
proof: Proof. destruct IN. econstructor. eapply rclo1_mon. apply IN. intros. destruct PR; [|right; apply LEr, H]. left. eapply paco1_mon. apply H. intros. destruct PR. - left. apply LErg, H0. - right. apply LEr, H0. Qed.
imports: Program.Basics Paco(paco1 pacotac)