Instance multi_params_orig_name_tot_map :
    MultiParamsNameTotalMap serialized_multi_params orig_multi_params :=
  {
    tot_map_name := id ;
    tot_map_name_inv := id
  }.Instance multi_params_orig_name_tot_map_bijective :
    MultiParamsNameTotalMapBijective multi_params_orig_name_tot_map :=
  {
    tot_map_name_inv_inverse := fun _ => eq_refl _;
    tot_map_name_inverse_inv := fun _ => eq_refl _
  }.Instance multi_orig_params_pt_msg_map : MultiParamsMsgPartialMap serialized_multi_params orig_multi_params :=
  {
    pt_map_msg := fun m => 
      match deserialize_top deserialize m with
      | Some data => Some data
      | None => None
      end   
  }.Instance multi_orig_base_params_pt_map : BaseParamsPartialMap serialized_base_params orig_base_params :=
  {
    pt_map_data := id;
    pt_map_input := fun i => Some i;
    pt_map_output := fun o => Some o
  }.Instance multi_orig_failure_params_pt_map_congruency : FailureParamsPartialMapCongruency serialized_failure_params orig_failure_params multi_orig_base_params_pt_map :=
  {
    pt_reboot_eq := fun _ => eq_refl _
  }.Instance multi_orig_name_overlay_params_tot_map_congruency : NameOverlayParamsTotalMapCongruency serialized_name_overlay_params orig_name_overlay_params multi_params_orig_name_tot_map := 
  {
    tot_adjacent_to_fst_snd := fun _ _ => conj (fun H => H) (fun H => H)
  }.Program Instance multi_orig_fail_msg_params_pt_map_congruency : FailMsgParamsPartialMapCongruency serialized_fail_msg_params orig_fail_msg_params multi_orig_params_pt_msg_map :=
  {
    pt_fail_msg_fst_snd := _
  }.Program Instance multi_orig_new_msg_params_pt_map_congruency : NewMsgParamsPartialMapCongruency serialized_new_msg_params orig_new_msg_params multi_orig_params_pt_msg_map :=
  {
    pt_new_msg_fst_snd := _
  }.Program Instance multi_orig_params_pt_map_congruency : MultiParamsPartialMapCongruency multi_orig_base_params_pt_map multi_params_orig_name_tot_map multi_orig_params_pt_msg_map :=
  {
    pt_init_handlers_eq := fun _ => eq_refl ;
    pt_net_handlers_some := _ ;
    pt_net_handlers_none := _ ;
    pt_input_handlers_some := _ ;
    pt_input_handlers_none := _;
  }.

Lemma pt_map_net_deserialize_net : forall net, pt_map_net net = deserialize_net net.