Definition server_send_trans :=
  SendTrans server_send_safe_coh server_send_safe_in server_step_def server_step_coh.Program Definition server_send_update_response_trans : send_trans ResourceCoh :=
  @server_send_trans update_response_tag server_send_update_response_prec _.Program Definition server_send_read_response_trans : send_trans ResourceCoh :=
  @server_send_trans read_response_tag server_send_read_response_prec _.

Lemma rs_step_coh : r_step_coh_t server_recv_wf the_tag rs_step.