Proof using.
red. unfold allEntries_votesWithLog. 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.
destruct_update; simpl in *; eauto;
eapply_prop_hyp votesWithLog votesWithLog; eauto; intuition;
right; break_exists_exists; intuition;
find_higher_order_rewrite; destruct_update; simpl in *; auto.
Qed.

Lemma allEntries_votesWithLog_init :
refined_raft_net_invariant_init allEntries_votesWithLog.