Proof using.
intros.
unfold update_elections_data_client_request in *.
repeat break_match; subst; simpl in *; auto.
Qed.

Lemma update_elections_data_clientRequest_allEntries_old' :
forall h st client id c x,
In x (allEntries (fst st)) ->
In x (allEntries (update_elections_data_client_request h st client id c)).