Proof using.
unfold refined_raft_net_invariant_append_entries, leaderLogs_sorted.
intros. subst. simpl in *. find_higher_order_rewrite.
update_destruct_simplify; simpl in *.
- rewrite leaderLogs_update_elections_data_AE in *.
eauto.
- eauto.
Qed.

Lemma leaderLogs_sorted_append_entries_reply :
refined_raft_net_invariant_append_entries_reply leaderLogs_sorted.