Proof using.
intros. eapply packets_ge_prevTerm_only_new_packets_matter; eauto.
unfold packets_ge_prevTerm. intros. simpl in *. find_apply_hyp_hyp.
exfalso. match goal with H : _ |- _ => apply H end.
repeat eexists; eauto.
Qed.

(* Specifications: *)
Theorem packets_ge_prevTerm_not_append_entries :
forall net ps' p' st',
packets_ge_prevTerm net ->
(forall p, In p ps' -> In p (nwPackets net) \/ p = p') ->
~ is_append_entries (pBody p') ->
packets_ge_prevTerm (mkNetwork ps' st').