Definition candidateEntriesTerm_lowered (net : network) t p : Prop :=
    In p (nwPackets net) ->
    pBody p = RequestVoteReply t true ->
    currentTerm (nwState net (pDst p)) = t ->
    wonElection (dedup name_eq_dec (pSrc p :: votesReceived (nwState net (pDst p)))) = true ->
    type (nwState net (pDst p)) <> Candidate.

Lemma deghost_packet_exists : forall net p, In p (nwPackets (deghost net)) -> exists (q : packet (params := raft_refined_multi_params (raft_params := raft_params))), In q (nwPackets net) /\ p = deghost_packet q.