Section VotesWithLogSorted.
Context {orig_base_params : BaseParams}.
Context {one_node_params : OneNodeParams orig_base_params}.
Context {raft_params : RaftParams orig_base_params}.
Context {rri : raft_refinement_interface}.
Context {si : sorted_interface}.
Proof using.
unfold refined_raft_net_invariant_init, votesWithLog_sorted.
intros. subst. simpl in *. intuition.
Qed.
Proof using.
unfold update_elections_data_client_request.
intros.
repeat break_match; auto.
Qed.
Proof using.
unfold refined_raft_net_invariant_client_request, votesWithLog_sorted.
intros. subst. simpl in *. find_higher_order_rewrite.
update_destruct_simplify; simpl in *.
- rewrite votesWithLog_update_elections_data_client_request in *.
eauto.
- eauto.
Qed.

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