Proof using.
red. unfold prefix_within_term_inductive in *.
intros.
intuition; red;
intros; repeat find_reverse_higher_order_rewrite; try find_apply_hyp_hyp; eauto.
Qed.

Lemma prefix_within_term_inductive_reboot :
refined_raft_net_invariant_reboot prefix_within_term_inductive.