Proof using.
start_update; 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; eauto.
Qed.

Lemma allEntries_log_matching_inductive_invariant :
forall net,
refined_raft_intermediate_reachable net ->
allEntries_log_matching_inductive net.