Proof using.
unfold mEntries. intros. subst. auto.
Qed.

Lemma handleMessage_aais :
forall client id i net p d' ms e,
~ applied_implies_input_state client id i net ->
In p (nwPackets net) ->
handleMessage (pSrc p) (pDst p) (pBody p) (nwState net (pDst p)) = (d', ms) ->
correct_entry client id i e ->
In e (log d') ->
False.