Proof using.
red. unfold leaderLogs_preserved. intros. simpl in *.
repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto;
repeat find_rewrite_lem update_elections_data_appendEntries_leaderLogs;
intuition; subst; eauto.
Qed.

(* Specifications: *)
Lemma leaderLogs_preserved_append_entries_reply :
refined_raft_net_invariant_append_entries_reply leaderLogs_preserved.