Definition delete_trans (c : Config) (s : Site) :=
  mkconfig (S (time c)) (dt c) (st c) (Reset_rec_table (rt c) s)
    (Post_message dec (bm c) s owner).

Lemma del_trans_ctrl_inc : forall s2 : Site, ctrl_inc s0 s2 (bm (delete_trans c0 s1)) = ctrl_inc s0 s2 (bm c0).