Definition rec_copy3_trans (c : Config) (s1 s2 : Site) :=
  mkconfig (S (time c)) (Update_table (dt c) s2 (S (time c))) 
    (st c) (Set_rec_table (rt c) s2)
    (Post_message (inc_dec s1) (Collect_message (bm c) s1 s2) s2 owner).

Lemma rcop3_trans_st_rt : ((st c0 s0 > 0)%Z -> rt c0 s0 = true) -> (st (rec_copy3_trans c0 s1 s2) s0 > 0)%Z -> rt (rec_copy3_trans c0 s1 s2) s0 = true.