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_rt : forall s1 : Site, Int (rt (delete_trans c0 s0) s1) = (if eq_site_dec s1 s0 then (Int (rt c0 s1) - 1)%Z else Int (rt c0 s1)).