Proof using.
red. unfold allEntries_log in *. intros. simpl in *.
match goal with
| H : nwState ?net ?h = (?gd, ?d) |- _ =>
replace gd with (fst (nwState net h)) in * by (rewrite H; reflexivity);
replace d with (snd (nwState net h)) in * by (rewrite H; reflexivity);
clear H
end.
repeat find_higher_order_rewrite.
subst. unfold reboot in *.
destruct_update; simpl in *; eauto; find_apply_hyp_hyp; repeat find_rewrite; intuition;
right; break_exists_exists; intuition; find_higher_order_rewrite;
destruct_update; simpl in *; auto.
Qed.

Lemma allEntries_log_invariant :
forall net,
refined_raft_intermediate_reachable net ->
allEntries_log net.