Proof using.
unfold refined_raft_net_invariant_append_entries, terms_and_indices_from_one_vwl.
simpl. intuition. repeat find_higher_order_rewrite. update_destruct; subst; rewrite_update;
eauto using votesWithLog_update_elections_data_append_entries.
Qed.

Lemma terms_and_indices_from_one_vwl_append_entries_reply :
refined_raft_net_invariant_append_entries_reply terms_and_indices_from_one_vwl.