Ltac start :=
    red; unfold leaders_have_leaderLogs; intros;
    subst; simpl in *; find_higher_order_rewrite;
    update_destruct; subst; rewrite_update; eauto; simpl in *.

Lemma leaders_have_leaderLogs_doLeader : refined_raft_net_invariant_do_leader leaders_have_leaderLogs.