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 leaderLogs_entries_match_append_entries : refined_raft_net_invariant_append_entries leaderLogs_entries_match.