Definition client_send_trans :=
  SendTrans client_send_safe_coh client_send_safe_in client_step_def client_step_coh.Program Definition client_send_update_trans : send_trans ResourceCoh :=
  @client_send_trans update_tag client_send_update_prec _.Program Definition client_send_read_trans : send_trans ResourceCoh :=
  @client_send_trans read_tag client_send_read_prec _.

Lemma rc_step_coh : r_step_coh_t client_recv_wf the_tag rc_step.