proposition: Lemma gpaco8_dist_reverse clo r rg: (paco8 gf (rclo8 clo (rg \8/ r)) \8/ rclo8 clo r) <8= gpaco8 gf clo r rg.
proof: Proof. intros. destruct PR; cycle 1. - eapply gpaco8_rclo. apply H. - econstructor. apply rclo8_base. left. revert x0 x1 x2 x3 x4 x5 x6 x7 H. pcofix CIH; intros. _punfold H0; [|apply gf_mon]. pstep. eapply gf_mon. apply H0. intros. destruct PR. + apply rclo8_base. right. apply CIH, H. + eapply rclo8_mon. apply H. intros. right. apply CIH0. apply PR. Qed.
imports: Program.Basics Paco(paco8 pacotac)