proposition: Lemma wrespect11_compatible' clo (RES: wrespectful11 clo): compatible'11 (rclo11 clo).
proof: Proof. intros. econstructor. apply rclo11_mon. intros. destruct RES. split. { eapply rclo11_mon. apply PR. intros. apply PR0. } induction PR; intros. - eapply gf_mon. apply IN. intros. apply rclo11_base, PR. - eapply gf_mon. + eapply wrespect11_respect0; [|apply H|apply IN]. intros. eapply rclo11_mon; intros; [apply LE, PR|apply PR0]. + intros. apply rclo11_rclo, PR. Qed.
imports: Program.Basics Paco(paco11 pacotac)