Proof using.
red. unfold in_log_in_all_entries. intros. simpl in *.
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_eapply_lem_hyp update_elections_data_client_request_log_allEntries; eauto.
intuition; try break_exists; intuition; repeat find_rewrite; eauto.
simpl in *. intuition; subst; eauto.
copy_eapply_prop_hyp In In.
break_exists_exists; eauto.
Qed.

Lemma in_log_in_all_entries_do_leader :
refined_raft_net_invariant_do_leader in_log_in_all_entries.