proposition: Lemma wrespect8_compatible' clo (RES: wrespectful8 clo): compatible'8 (rclo8 clo).
proof: Proof. intros. econstructor. apply rclo8_mon. intros. destruct RES. split. { eapply rclo8_mon. apply PR. intros. apply PR0. } induction PR; intros. - eapply gf_mon. apply IN. intros. apply rclo8_base, PR. - eapply gf_mon. + eapply wrespect8_respect0; [|apply H|apply IN]. intros. eapply rclo8_mon; intros; [apply LE, PR|apply PR0]. + intros. apply rclo8_rclo, PR. Qed.
imports: Program.Basics Paco(paco8 pacotac)