Proof using iliaei rmri.
intros.
unfold lifted_in_log_in_all_entries; intros.
find_eapply_lem_hyp msg_lift_prop;
[|intros; eapply in_log_in_all_entries_invariant; eauto].
simpl in *.
unfold in_log_in_all_entries in *.
unfold mgv_deghost in *.
simpl in *.
repeat break_match; simpl in *; eauto.
Qed.

Lemma update_elections_data_appendEntries_preserves_allEntries' :
forall st h t n pli plt es ci x,
In x (allEntries (fst st)) ->
In x (allEntries (update_elections_data_appendEntries h st t n pli plt es ci)).