Proof using.
intros.
destruct (log st') using (handleClientRequest_log_ind ltac:(eauto)).
- auto.
- simpl in *. break_and.
destruct (log st); simpl in *.
+ omega.
+ find_insterU. conclude_using eauto. intuition.
Qed.

Lemma lifted_sorted_host :
forall net h,
refined_raft_intermediate_reachable net ->
sorted (log (snd (nwState net h))).