Proof using.
unfold refined_raft_net_invariant_request_vote_reply, cronies_term.
intros. subst. simpl in *. repeat find_higher_order_rewrite.
update_destruct; subst; rewrite_update; eauto.
simpl in *.
match goal with
| H : forall _, st' _ = _ |- _ => clear H
end.
unfold update_elections_data_requestVoteReply in *.
match goal with
| |- context [handleRequestVoteReply ?h ?st ?h' ?t ?v] =>
remember (handleRequestVoteReply h st h' t v) as new_state
end.
find_copy_apply_lem_hyp handleRequestVoteReply_spec.
intuition.
- unfold update_elections_data_requestVoteReply in *.
break_match; simpl in *; repeat find_rewrite; eauto;
break_match; eauto;
subst; repeat find_reverse_rewrite; intuition.
- unfold update_elections_data_requestVoteReply in *.
break_match; simpl in *;
try solve [subst; unfold raft_data in *; congruence].
eapply le_trans; [|eauto]; eauto.
Qed.

Lemma cronies_term_init :
refined_raft_net_invariant_init cronies_term.