Proof using.
red. unfold logs_leaderLogs_inductive. intuition.
- unfold logs_leaderLogs in *. intros.
repeat find_reverse_higher_order_rewrite.
find_apply_hyp_hyp. break_exists_exists; intuition.
find_reverse_higher_order_rewrite. auto.
- unfold logs_leaderLogs_nw in *. intros.
find_apply_hyp_hyp. eapply_prop_hyp pBody pBody; eauto.
break_exists_exists; intuition; subst;
repeat find_reverse_higher_order_rewrite; auto.
Qed.

Lemma logs_leaderLogs_inductive_reboot :
refined_raft_net_invariant_reboot logs_leaderLogs_inductive.