Proof using.
intros.
destruct inp; simpl in *.
- find_erewrite_lem handleTimeout_log.
exfalso. eauto using aiis_intro_state.
- destruct (log d') using (handleClientRequest_log_ind ltac:(eauto)).
+ exfalso. eauto using aiis_intro_state.
+ simpl in *.
break_or_hyp.
* subst. unfold in_input_trace. unfold correct_entry in *.
break_and. subst. simpl. eauto.
* exfalso. eauto using aiis_intro_state.
Qed.

Lemma mEntries_intro :
forall m t n l t' es l',
m = AppendEntries t n l t' es l' ->
mEntries m = Some es.