proposition: Lemma gpaco3_mon clo r r' rg rg' x0 x1 x2 (IN: @gpaco3 clo r rg x0 x1 x2) (LEr: r <3= r') (LErg: rg <3= rg'): @gpaco3 clo r' rg' x0 x1 x2.
proof: Proof. destruct IN. econstructor. eapply rclo3_mon. apply IN. intros. destruct PR; [|right; apply LEr, H]. left. eapply paco3_mon. apply H. intros. destruct PR. - left. apply LErg, H0. - right. apply LEr, H0. Qed.
imports: Program.Basics Paco(paco3 pacotac)