Proof using.
unfold refined_raft_net_invariant_client_request, allEntries_indices_gt_0.
intros. simpl in *.
repeat find_higher_order_rewrite.
update_destruct_max_simplify; eauto.
find_apply_lem_hyp update_elections_data_client_request_allEntries.
intuition.
- find_rewrite. eauto.
- break_exists. break_and. find_rewrite. simpl in *.
intuition eauto.
subst. omega.
Qed.

(* Specifications: *)
Lemma allEntries_indices_gt_0_timeout :
refined_raft_net_invariant_timeout allEntries_indices_gt_0.