Proof using aeli.
red. unfold allEntries_votesWithLog. intros. simpl in *.
repeat find_higher_order_rewrite.
destruct_update; simpl in *.
- find_rewrite_lem update_elections_data_requestVote_allEntries.
find_copy_apply_lem_hyp handleRequestVote_currentTerm.
find_copy_eapply_lem_hyp votesWithLog_update_elections_data_request_vote; eauto.
intuition.
+ eapply_prop_hyp votesWithLog votesWithLog; eauto; intuition;
right; break_exists_exists; intuition;
find_higher_order_rewrite; destruct_update; simpl in *; auto.
rewrite leaderLogs_update_elections_data_requestVote. auto.
+ subst.
find_apply_lem_hyp handleRequestVote_log. repeat find_rewrite.
find_copy_eapply_lem_hyp allEntries_log_invariant; eauto.
intuition.
right. break_exists_exists. repeat find_higher_order_rewrite.
simpl in *.
destruct_update; simpl in *; intuition;
try rewrite leaderLogs_update_elections_data_requestVote; eauto.
+  subst.
find_apply_lem_hyp handleRequestVote_log. repeat find_rewrite.
find_copy_eapply_lem_hyp allEntries_log_invariant; eauto.
intuition.
right. break_exists_exists. repeat find_higher_order_rewrite.
simpl in *.
destruct_update; simpl in *; intuition;
try rewrite leaderLogs_update_elections_data_requestVote; eauto.
- eapply_prop_hyp votesWithLog votesWithLog; eauto; intuition;
right; break_exists_exists; intuition;
find_higher_order_rewrite; destruct_update; simpl in *; auto.
rewrite leaderLogs_update_elections_data_requestVote. auto.
Qed.

Lemma allEntries_votesWithLog_request_vote_reply :
refined_raft_net_invariant_request_vote_reply allEntries_votesWithLog.