proposition: Lemma gpaco6_weaken clo r rg: gpaco6 (gupaco6 clo) r rg <6= gpaco6 clo r rg.
proof: Proof. intros. apply gpaco6_unfold in PR. induction PR. - destruct IN; cycle 1. apply gpaco6_base, H. apply gpaco6_step_gen. eapply gf_mon. apply H. clear x0 x1 x2 x3 x4 x5 H. eapply gpaco6_cofix. intros. apply gpaco6_unfold in PR. induction PR. + destruct IN; cycle 1. apply gpaco6_base, H. apply gpaco6_step. eapply gf_mon. apply H. intros. apply gpaco6_base. apply CIH. eapply gupaco6_mon. apply PR. intros. destruct PR0; apply H0. + apply gpaco6_gupaco. eapply gupaco6_mon. apply IN. apply H. - apply gpaco6_gupaco. eapply gupaco6_mon. apply IN. apply H. Qed.
imports: Program.Basics Paco(paco6 pacotac)