Definition rec_copy2_trans (c : Config) (s2 : Site) :=
  mkconfig (S (time c)) (dt c) (st c) (Set_rec_table (rt c) s2)
    (Collect_message (bm c) owner s2).

Lemma rcop2_trans_rt : forall s0 : Site, Int (rt (rec_copy2_trans c0 s2) s0) = (if eq_site_dec s0 s2 then (Int (rt c0 s0) + 1)%Z else Int (rt c0 s0)).