Section PartialMapExecutionSimulations.
Context {base_fst : BaseParams}.
Context {base_snd : BaseParams}.
Context {labeled_multi_fst : LabeledMultiParams base_fst}.
Context {labeled_multi_snd : LabeledMultiParams base_snd}.
Context {base_map : BaseParamsPartialMap base_fst base_snd}.
Context {name_map : MultiParamsNameTotalMap (@unlabeled_multi_params _ labeled_multi_fst) (@unlabeled_multi_params _ labeled_multi_snd)}.
Context {msg_map : MultiParamsMsgPartialMap (@unlabeled_multi_params _ labeled_multi_fst) (@unlabeled_multi_params _ labeled_multi_snd)}.
Context {label_map : LabeledMultiParamsLabelTotalMap labeled_multi_fst labeled_multi_snd}.
Context {name_map_bijective : MultiParamsNameTotalMapBijective name_map}.
Context {multi_map_congr : MultiParamsPartialMapCongruency base_map name_map msg_map}.
Context {multi_map_lb_congr : LabeledMultiParamsPartialMapCongruency base_map name_map msg_map label_map}.
Hypothesis label_eq_dec : forall x y : label, {x = y} + {x <> y}.
Hypothesis tot_map_label_injective :
forall l l', tot_map_label l = tot_map_label l' -> l = l'.
Hypothesis label_tot_mapped :
forall l, exists l', l = tot_map_label l'.
(* lb_step_failure *)

Theorem lb_step_failure_pt_mapped_simulation_1_non_silent :
forall net net' failed failed' lb tr,
tot_map_label lb <> label_silent ->
@lb_step_failure _ labeled_multi_fst (failed, net) lb (failed', net') tr ->
@lb_step_failure _ labeled_multi_snd (List.map tot_map_name failed, pt_map_net net) (tot_map_label lb) (List.map tot_map_name failed', pt_map_net net') (filterMap pt_map_trace_occ tr).