Definition lifted_no_entries_past_current_term_host net :=
    forall (h : name) e,
      In e (log (snd (nwState net h))) ->
      eTerm e <= currentTerm (snd (nwState net h)).

Lemma lifted_no_entries_past_current_term_host_invariant : forall (net : @network _ raft_msg_refined_multi_params), msg_refined_raft_intermediate_reachable net -> lifted_no_entries_past_current_term_host net.