proposition: Lemma rinc_trans_sigma_ctrl : forall s0 : Site, sigma_ctrl s0 (bm (rec_inc_trans c0 s1 s2)) = sigma_ctrl s0 (bm c0).
proof: Proof. intros; unfold sigma_ctrl in |- *. rewrite rinc_trans_sigma_copy. rewrite rinc_trans_sigma_dec. rewrite rinc_trans_sigma_inc. case (eq_site_dec s0 s2); intro. omega. trivial. Qed.
imports: init table_act mess_act