proposition: Lemma gpaco5_mon clo r r' rg rg' x0 x1 x2 x3 x4 (IN: @gpaco5 clo r rg x0 x1 x2 x3 x4) (LEr: r <5= r') (LErg: rg <5= rg'): @gpaco5 clo r' rg' x0 x1 x2 x3 x4.
proof: Proof. destruct IN. econstructor. eapply rclo5_mon. apply IN. intros. destruct PR; [|right; apply LEr, H]. left. eapply paco5_mon. apply H. intros. destruct PR. - left. apply LErg, H0. - right. apply LEr, H0. Qed.
imports: Program.Basics Paco(paco5 pacotac)