proposition: Lemma gpaco14_weaken clo r rg: gpaco14 (gupaco14 clo) r rg <14= gpaco14 clo r rg.
proof: Proof. intros. apply gpaco14_unfold in PR. induction PR. - destruct IN; cycle 1. apply gpaco14_base, H. apply gpaco14_step_gen. eapply gf_mon. apply H. clear x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 H. eapply gpaco14_cofix. intros. apply gpaco14_unfold in PR. induction PR. + destruct IN; cycle 1. apply gpaco14_base, H. apply gpaco14_step. eapply gf_mon. apply H. intros. apply gpaco14_base. apply CIH. eapply gupaco14_mon. apply PR. intros. destruct PR0; apply H0. + apply gpaco14_gupaco. eapply gupaco14_mon. apply IN. apply H. - apply gpaco14_gupaco. eapply gupaco14_mon. apply IN. apply H. Qed.
imports: Program.Basics Paco(paco14 pacotac)