Proof using.
red. unfold append_entries_leaderLogs. intros.
subst. simpl in *.
find_apply_hyp_hyp. intuition eauto.
- prove_in. eapply_prop_hyp In In; break_exists. intuition; eauto.
+ repeat eexists; intuition eauto.
repeat find_higher_order_rewrite.
update_destruct; subst_max; rewrite_update; simpl in *; eauto.
subst; auto using update_elections_data_requestVoteReply_leaderLogs.
+ repeat eexists; intuition eauto.
repeat find_higher_order_rewrite.
update_destruct; subst_max; rewrite_update; simpl in *; eauto.
subst; auto using update_elections_data_requestVoteReply_leaderLogs.
+ repeat eexists; intuition eauto.
repeat find_higher_order_rewrite.
update_destruct; subst_max; rewrite_update; simpl in *; eauto.
subst; auto using update_elections_data_requestVoteReply_leaderLogs.
+ eauto.
Qed.

Lemma append_entries_leaderLogs_clientRequest :
refined_raft_net_invariant_client_request append_entries_leaderLogs.