Ltac prove_in :=
    match goal with
      | [ _ : nwPackets ?net = _,
              _ : In (?p : packet) _ |- _] =>
        assert (In p (nwPackets net)) by (repeat find_rewrite; do_in_app; intuition)
      | [ _ : nwPackets ?net = _,
              _ : pBody ?p = _ |- _] =>
        assert (In p (nwPackets net)) by (repeat find_rewrite; intuition)
    end.Notation is_append_entries m :=
    (exists t n prevT prevI entries c,
       m = AppendEntries t n prevT prevI entries c).

Lemma leader_sublog_append_entries_reply : raft_net_invariant_append_entries_reply leader_sublog_invariant.