proposition: Lemma rdec_trans_ctrl_copy : forall s3 : Site, ctrl_copy s0 s3 (bm (rec_dec_trans c0 s1 s2)) = ctrl_copy s0 s3 (bm c0).
proof: Proof. intros; unfold ctrl_copy in |- *; simpl in |- *. apply diff_collect_card_mess. apply diff_or_elsewhere with (m := dec); [ trivial | discriminate ]. Qed.
imports: init table_act mess_act