Proof using.
intros.
unfold update_elections_data_requestVoteReply in *.
repeat break_match; intuition.
simpl in *.
match goal with
| |- context [handleRequestVoteReply ?h ?s ?h' ?t ?r] =>
pose proof handleRequestVoteReply_spec
h s h' t r (handleRequestVoteReply h s h' t r)
end. intuition; repeat find_rewrite; intuition.
congruence.
Qed.

Theorem lift_log_matching :
forall net,
refined_raft_intermediate_reachable net ->
log_matching (deghost net).