proposition: Lemma wrespect10_compatible' clo (RES: wrespectful10 clo): compatible'10 (rclo10 clo).
proof: Proof. intros. econstructor. apply rclo10_mon. intros. destruct RES. split. { eapply rclo10_mon. apply PR. intros. apply PR0. } induction PR; intros. - eapply gf_mon. apply IN. intros. apply rclo10_base, PR. - eapply gf_mon. + eapply wrespect10_respect0; [|apply H|apply IN]. intros. eapply rclo10_mon; intros; [apply LE, PR|apply PR0]. + intros. apply rclo10_rclo, PR. Qed.
imports: Program.Basics Paco(paco10 pacotac)