Proof using.
red. unfold leaderLogs_votesWithLog. intros. simpl in *.
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto;
[|eapply quorum_preserved; [|eauto];
intros;
find_higher_order_rewrite; destruct_update; simpl in *; eauto;
rewrite votesWithLog_same_client_request;
auto].
find_rewrite_lem update_elections_data_client_request_leaderLogs.
eapply quorum_preserved; [|eauto];
intros;
find_higher_order_rewrite; destruct_update; simpl in *; eauto;
rewrite votesWithLog_same_client_request;
auto.
Qed.

Lemma leaderLogs_votesWithLog_do_leader :
refined_raft_net_invariant_do_leader leaderLogs_votesWithLog.