proposition: Lemma gpaco7_gpaco clo r rg: gpaco7 clo (gpaco7 clo r rg) (gupaco7 clo (rg \7/ r)) <7= gpaco7 clo r rg.
proof: Proof. intros. apply gpaco7_unfold in PR. econstructor. apply rclo7_rclo. eapply rclo7_mon. apply PR. clear x0 x1 x2 x3 x4 x5 x6 PR. intros. destruct PR; [|destruct H; apply IN]. apply rclo7_base. left. pstep. eapply gf_mon. apply H. clear x0 x1 x2 x3 x4 x5 x6 H. intros. cut (@gupaco7 clo (rg \7/ r) x0 x1 x2 x3 x4 x5 x6). { intros. destruct H. eapply rclo7_mon. apply IN. intros. destruct PR0; [|right; apply H]. left. eapply paco7_mon. apply H. intros. destruct PR0; apply H0. } apply gpaco7_gupaco. eapply gupaco7_mon. apply PR. intros. destruct PR0; [apply H|]. eapply gpaco7_mon; [apply H|right|left]; intros; apply PR0. Qed.
imports: Program.Basics Paco(paco7 pacotac)