Proof using taifoli rri.
unfold refined_raft_net_invariant_append_entries, allEntries_indices_gt_0.
intros. simpl in *.
repeat find_higher_order_rewrite.
update_destruct_max_simplify; eauto.
find_apply_lem_hyp update_elections_data_appendEntries_allEntries.
intuition eauto.
eapply lifted_taifol_nw; eauto.
Qed.

(* Specifications: *)
Lemma allEntries_indices_gt_0_append_entries_reply :
refined_raft_net_invariant_append_entries_reply allEntries_indices_gt_0.