Section LeaderLogsSublog.
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}.
Context {lsi : leader_sublog_interface}.
Context {lltsi : leaderLogs_term_sanity_interface}.
Context {eewci : every_entry_was_created_interface}.
Context {llcei : leaderLogs_candidate_entries_interface}.
Context {cci : cronies_correct_interface}.
Context {vci : votes_correct_interface}.
Proof using.
unfold refined_raft_net_invariant_init, leaderLogs_sublog.
simpl. intuition.
Qed.
Ltac start :=
repeat match goal with
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := fst) in H
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := snd) in H
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := leaderLogs) in H
end;
rewrite update_fun_comm with (f := snd);
simpl in *;
match goal with
| [ H : context [ type ] |- _ ] =>
rewrite update_fun_comm in H;
rewrite update_nop_ext' in H by auto
end;
match goal with
| [ H : context [ currentTerm ] |- _ ] =>
rewrite update_fun_comm in H;
rewrite update_nop_ext' in H by auto
end.
Proof using.
unfold refined_raft_net_invariant_client_request, leaderLogs_sublog.
intuition.
simpl in *.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp handleClientRequest_type. intuition.
start.
find_rewrite_lem update_elections_data_client_request_leaderLogs.
find_erewrite_lem update_nop_ext' .
update_destruct_max_simplify.
- destruct (log d) using (handleClientRequest_log_ind ltac:(eauto)).
+ eauto.
+ simpl. right. eauto.
- eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_timeout, leaderLogs_sublog.
simpl. intuition.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp handleTimeout_type.
intuition.
- start.
find_rewrite_lem update_elections_data_timeout_leaderLogs.
find_erewrite_lem update_nop_ext' .
update_destruct_max_simplify; eauto.
erewrite handleTimeout_log_same by eauto; eauto.
- repeat update_destruct_max_simplify; try congruence.
+ find_rewrite_lem update_elections_data_timeout_leaderLogs.
eauto.
+ eauto.
Qed.
Proof using.
unfold handleAppendEntries.
intros.
repeat break_match; repeat find_inversion; simpl in *; auto; discriminate.
Qed.
Proof using.
unfold refined_raft_net_invariant_append_entries, leaderLogs_sublog.
simpl. intuition.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp handleAppendEntries_type.
intuition.
- start.
find_rewrite_lem update_elections_data_appendEntries_leaderLogs.
find_erewrite_lem update_nop_ext'.
update_destruct_max_simplify; eauto.
erewrite handleAppendEntries_leader by (eauto; congruence).
eauto.
- repeat update_destruct_max_simplify; try congruence.
+ find_rewrite_lem update_elections_data_appendEntries_leaderLogs.
eauto.
+ eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_append_entries_reply, leaderLogs_sublog.
simpl. intuition.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp handleAppendEntriesReply_type.
intuition.
- start.
find_erewrite_lem update_nop_ext'.
update_destruct_max_simplify; eauto.
erewrite handleAppendEntriesReply_same_log by eauto.
eauto.
- repeat update_destruct_max_simplify; try congruence; eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_request_vote, leaderLogs_sublog.
simpl. intuition.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp handleRequestVote_type.
intuition.
- start.
find_rewrite_lem leaderLogs_update_elections_data_requestVote.
find_erewrite_lem update_nop_ext'.
update_destruct_max_simplify; eauto.
erewrite handleRequestVote_same_log by eauto.
eauto.
- repeat update_destruct_max_simplify; try congruence.
+ find_rewrite_lem leaderLogs_update_elections_data_requestVote.
eauto.
+ eauto.
Qed.
Proof using lsi rri.
intros.
pose proof (lift_prop _ leader_sublog_invariant_invariant).
find_apply_hyp_hyp.
match goal with H : forall _ , _ |- _ => clear H end.
unfold leader_sublog_invariant, leader_sublog_host_invariant in *.
break_and.
do 3 find_insterU.
repeat find_rewrite_lem deghost_spec.
eauto.
Qed.
Proof using.
intros.
unfold handleRequestVoteReply, advanceCurrentTerm in *.
repeat break_match; try find_inversion; subst; simpl in *; intuition;
do_bool; intuition; try right; congruence.
Qed.
Proof using lltsi.
intros.
find_copy_eapply_lem_hyp leaderLogs_term_sanity_invariant; eauto.
find_eapply_lem_hyp leaderLogs_currentTerm_invariant; eauto.
lia.
Qed.
Arguments dedup : simpl never.
Proof using.
intros.
eapply_prop_hyp leaderLogs_candidateEntries In; eauto.
eapply wonElection_candidateEntries_rvr; auto. eauto. auto.  auto.
Qed.
Proof using vci cci llcei lltsi lsi rri.
unfold refined_raft_net_invariant_request_vote_reply, leaderLogs_sublog.
simpl. intuition.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp handleRequestVoteReply_RVR_spec.
intuition.
- subst. repeat find_rewrite.
repeat update_destruct_max_simplify; eauto;
find_eapply_lem_hyp leaderLogs_update_elections_data_RVR; eauto; intuition eauto;
unfold raft_data in *; congruence.
- repeat update_destruct_max_simplify; try congruence.
+ find_eapply_lem_hyp leaderLogs_update_elections_data_RVR; eauto; intuition eauto.
subst_max. repeat find_rewrite. discriminate.
+ eauto.
- repeat update_destruct_max_simplify.
+ repeat find_rewrite.
find_eapply_lem_hyp leaderLogs_update_elections_data_RVR; eauto; intuition.
* exfalso. eauto using contradict_leaderLogs_term_sanity.
* subst. unfold raft_data in *. repeat find_rewrite. auto.
+ repeat find_rewrite.
exfalso.
eapply leaderLogs_candidate_entries_rvr; eauto;
eauto using leaderLogs_candidate_entries_invariant,
votes_correct_invariant,
cronies_correct_invariant.
congruence.
+ find_eapply_lem_hyp leaderLogs_update_elections_data_RVR; eauto; intuition.
* eauto.
* subst. unfold raft_data in *. repeat find_rewrite.
eapply lifted_leader_sublog_host; eauto.
+ eauto.
- repeat update_destruct_max_simplify.
+ find_eapply_lem_hyp leaderLogs_update_elections_data_RVR; eauto; intuition.
* repeat find_rewrite. eauto.
* subst. unfold raft_data in *. repeat find_rewrite. auto.
+ repeat find_rewrite. eauto.
+ find_eapply_lem_hyp leaderLogs_update_elections_data_RVR; eauto; intuition.
* repeat find_rewrite. eauto.
* subst. unfold raft_data in *. repeat find_rewrite. discriminate.
+ eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_do_leader, leaderLogs_sublog.
simpl. intuition.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp doLeader_type.
intuition.
repeat match goal with
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := fst) in H
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := snd) in H
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := leaderLogs) in H
end.
rewrite update_fun_comm with (f := snd).
simpl in *.
rewrite update_fun_comm.
rewrite update_nop_ext' by (find_apply_lem_hyp doLeader_same_log; repeat find_rewrite; auto).
find_rewrite_lem update_fun_comm.
match goal with
| H : _ |- _ => rewrite update_nop_ext' in H by (repeat find_rewrite; auto)
end.
match goal with
| H : context [ type ] |- _ =>
rewrite update_fun_comm in H;
rewrite update_nop_ext' in H by (repeat find_rewrite; auto)
end.
match goal with
| H : _ |- _ => rewrite update_nop_ext' in H by (repeat find_rewrite; auto)
end.
eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_do_generic_server, leaderLogs_sublog.
simpl. intuition.
repeat find_higher_order_rewrite.
find_copy_apply_lem_hyp doGenericServer_type.
intuition.
repeat match goal with
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := fst) in H
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := snd) in H
| [ H : _ |- _ ] =>
rewrite update_fun_comm with (f := leaderLogs) in H
end.
rewrite update_fun_comm with (f := snd).
simpl in *.
rewrite update_fun_comm.
rewrite update_nop_ext' by (find_apply_lem_hyp doGenericServer_log; repeat find_rewrite; auto).
find_rewrite_lem update_fun_comm.
match goal with
| H : _ |- _ => rewrite update_nop_ext' in H by (repeat find_rewrite; auto)
end.
match goal with
| H : context [ type ] |- _ =>
rewrite update_fun_comm in H;
rewrite update_nop_ext' in H by (repeat find_rewrite; auto)
end.
match goal with
| H : _ |- _ => rewrite update_nop_ext' in H by (repeat find_rewrite; auto)
end.
eauto.
Qed.

Theorem leaderLogs_sublog_state_same_packet_subset :
refined_raft_net_invariant_state_same_packet_subset leaderLogs_sublog.