Proof using.
red. unfold client_cache_keys_correct in *. simpl in *. intros. subst.
find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
Qed.

Lemma client_cache_keys_correct_state_same_packet_subset :
raft_net_invariant_state_same_packet_subset client_cache_keys_correct.