Section VotesLeCurrentTerm.
Context {orig_base_params : BaseParams}.
Context {one_node_params : OneNodeParams orig_base_params}.
Context {raft_params : RaftParams orig_base_params}.
Context {rri : raft_refinement_interface}.
Ltac start_proof :=
cbn [nwState]; intros; subst; repeat find_higher_order_rewrite;
update_destruct; rewrite_update; cbn [fst snd] in *; eauto.
Proof using.
unfold refined_raft_net_invariant_client_request, votes_le_currentTerm.
start_proof.
erewrite handleClientRequest_currentTerm by eauto.
rewrite @votes_update_elections_data_client_request in *.
eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_timeout, votes_le_currentTerm.
start_proof.
find_copy_eapply_lem_hyp votes_update_elections_data_timeout; eauto.
break_or_hyp; auto with *.
find_apply_lem_hyp handleTimeout_currentTerm.
find_apply_hyp_hyp.
eauto using le_trans.
Qed.
Proof using.
unfold refined_raft_net_invariant_append_entries, votes_le_currentTerm.
start_proof.
rewrite @votes_same_append_entries in *.
find_apply_lem_hyp handleAppendEntries_currentTerm.
find_apply_hyp_hyp.
eauto using le_trans.
Qed.
Proof using.
unfold refined_raft_net_invariant_append_entries_reply, votes_le_currentTerm.
start_proof.
find_apply_lem_hyp handleAppendEntriesReply_currentTerm.
find_apply_hyp_hyp.
eauto using le_trans.
Qed.
Proof using.
unfold refined_raft_net_invariant_request_vote, votes_le_currentTerm.
start_proof.
find_eapply_lem_hyp votes_update_elections_data_request_vote; eauto.
intuition.
find_apply_hyp_hyp.
eauto using le_trans, handleRequestVote_currentTerm.
Qed.
Proof using.
unfold refined_raft_net_invariant_request_vote_reply, votes_le_currentTerm.
start_proof.
find_eapply_lem_hyp votes_update_elections_data_request_vote_reply; eauto.
eapply le_trans; [|eapply handleRequestVoteReply_currentTerm'; eauto]; eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_do_leader, votes_le_currentTerm.
start_proof.
assert (gd = (fst (nwState net h)) /\ d = snd (nwState net h))
by (repeat find_rewrite; auto). break_and. subst.
erewrite doLeader_currentTerm by eauto.
eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_do_generic_server, votes_le_currentTerm.
start_proof.
assert (gd = (fst (nwState net h)) /\ d = snd (nwState net h))
by (repeat find_rewrite; auto). break_and. subst.
erewrite doGenericServer_currentTerm by eauto.
eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_state_same_packet_subset, votes_le_currentTerm.
intros.
repeat find_reverse_higher_order_rewrite.
eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_reboot, votes_le_currentTerm.
start_proof.
unfold reboot. simpl.
assert (gd = (fst (nwState net h)) /\ d = snd (nwState net h))
by (repeat find_rewrite; auto). break_and. subst.
eauto.
Qed.

Theorem votes_le_current_term_init :
refined_raft_net_invariant_init votes_le_currentTerm.