proposition: Lemma rdec_trans_st_rt : ((st c0 s0 > 0)%Z -> rt c0 s0 = true) -> (st (rec_dec_trans c0 s1 s2) s0 > 0)%Z -> rt (rec_dec_trans c0 s1 s2) s0 = true.
proof: Proof. rewrite rdec_trans_st; simpl in |- *; case (eq_site_dec s0 s2); intro. intros; apply H; omega. auto. Qed.
imports: init table_act mess_act