Proof using.
red. unfold client_cache_correct in *. simpl in *. intros. subst.
find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
use_same_client_cache doLeader_clientCache.
erewrite doLeader_lastApplied; eauto.
erewrite doLeader_log; eauto.
Qed.

Lemma client_cache_correct_reboot :
raft_net_invariant_reboot' client_cache_correct.