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_le_dt_time : forall s0 : Site, dt c0 s0 <= time c0 -> dt (rec_copy2_trans c0 s2) s0 <= time (rec_copy2_trans c0 s2).