Ltac use_log_matching_nw :=
    pose proof (lifted_log_matching_nw _ ltac:(eauto));
    match goal with
      | [ H : _  |- _ ] =>
        eapply H; [|eauto];
        repeat find_rewrite; intuition
    end.

Lemma handleAppendEntries_doesn't_send_AE : forall n st t i l t' l' l'' st' m, handleAppendEntries n st t i l t' l' l'' = (st', m) -> ~ is_append_entries m.