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

Lemma update_elections_data_client_request_leaderLogs : forall h st client id c, leaderLogs (update_elections_data_client_request h st client id c) = leaderLogs (fst st).