proposition: Lemma gpaco6_gpaco clo r rg: gpaco6 clo (gpaco6 clo r rg) (gupaco6 clo (rg \6/ r)) <6= gpaco6 clo r rg.
proof: Proof. intros. apply gpaco6_unfold in PR. econstructor. apply rclo6_rclo. eapply rclo6_mon. apply PR. clear x0 x1 x2 x3 x4 x5 PR. intros. destruct PR; [|destruct H; apply IN]. apply rclo6_base. left. pstep. eapply gf_mon. apply H. clear x0 x1 x2 x3 x4 x5 H. intros. cut (@gupaco6 clo (rg \6/ r) x0 x1 x2 x3 x4 x5). { intros. destruct H. eapply rclo6_mon. apply IN. intros. destruct PR0; [|right; apply H]. left. eapply paco6_mon. apply H. intros. destruct PR0; apply H0. } apply gpaco6_gupaco. eapply gupaco6_mon. apply PR. intros. destruct PR0; [apply H|]. eapply gpaco6_mon; [apply H|right|left]; intros; apply PR0. Qed.
imports: Program.Basics Paco(paco6 pacotac)