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_st_rt : forall s0 : Site, ((st c0 s0 > 0)%Z -> rt c0 s0 = true) -> (st (rec_copy2_trans c0 s2) s0 > 0)%Z -> rt (rec_copy2_trans c0 s2) s0 = true.