Section EveryEntryWasCreated.
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 {lhlli : leaders_have_leaderLogs_interface}.
Hint Constructors in_any_log : core.
(* proof sketch: prove for in_any_log. the only time new entries come into the system is on a leader, and leaders have leaderLogs in their term.  *)
Definition in_any_log_term_was_created net :=
forall e,
in_any_log net e ->
term_was_created net (eTerm e).
Ltac iae_case :=
match goal with
| [ H : in_any_log _ _ |- _ ] => invcs H
end.
Proof using.
intros. unfold term_was_created in *.
break_exists_exists. eauto.
Qed.
Ltac in_aer :=
repeat find_rewrite; eapply in_aer; eauto; repeat find_rewrite; reflexivity.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
eapply term_was_created_preserved; [eapply_prop in_any_log_term_was_created|];
[|
intros; simpl in *;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto;
rewrite update_elections_data_appendEntries_leaderLogs; eauto].
iae_case.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_apply_lem_hyp handleAppendEntries_log. intuition; try in_aer.
+ repeat find_rewrite. eauto.
+ repeat find_rewrite. do_in_app. intuition; try in_aer.
eauto using removeAfterIndex_in.
- find_eapply_lem_hyp handleAppendEntries_not_append_entries.
find_apply_hyp_hyp. intuition.
+ match goal with
| _ : In ?p' (_ ++ _) |- _ => eapply @in_aer with (p := p'); eauto
end.
+ subst. simpl in *.
find_false. unfold mEntries in *.
break_match; try congruence. subst.
repeat eexists; eauto.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_rewrite_lem update_elections_data_appendEntries_leaderLogs.
eauto.
Qed.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
eapply term_was_created_preserved; [eapply_prop in_any_log_term_was_created|];
[|
intros; simpl in *;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto;
rewrite leaderLogs_update_elections_data_requestVote; eauto].
iae_case.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_apply_lem_hyp handleRequestVote_log.
repeat find_rewrite. eauto.
- find_eapply_lem_hyp handleRequestVote_no_append_entries.
find_apply_hyp_hyp. intuition.
+ match goal with
| _ : In ?p' (_ ++ _) |- _ => eapply @in_aer with (p := p'); eauto
end.
+ subst. simpl in *.
find_false. unfold mEntries in *.
break_match; try congruence. subst.
repeat eexists; eauto.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_rewrite_lem leaderLogs_update_elections_data_requestVote.
eauto.
Qed.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
eapply term_was_created_preserved; [eapply_prop in_any_log_term_was_created|];
[|
intros; simpl in *;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto].
iae_case.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_apply_lem_hyp handleAppendEntriesReply_log.
repeat find_rewrite. eauto.
- find_eapply_lem_hyp handleAppendEntriesReply_packets.
find_apply_hyp_hyp. intuition.
+ match goal with
| _ : In ?p' (_ ++ _) |- _ => eapply @in_aer with (p := p'); eauto
end.
+ subst. simpl in *. intuition.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
Qed.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
eapply term_was_created_preserved; [eapply_prop in_any_log_term_was_created|];
[|intros; simpl in *;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto;
eapply update_elections_data_requestVoteReply_old; eauto].
iae_case.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_rewrite_lem handleRequestVoteReply_log_rewrite; eauto.
- find_apply_hyp_hyp.
match goal with
| _ : In ?p' (_ ++ _) |- _ => eapply @in_aer with (p := p'); eauto
end.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_eapply_lem_hyp leaderLogs_update_elections_data_RVR; eauto.
intuition; eauto. subst.
find_rewrite_lem handleRequestVoteReply_log_rewrite. eauto.
Qed.
Ltac cr_in_log_in_leader_log :=
find_eapply_lem_hyp in_log; eapply_prop_hyp in_any_log_term_was_created in_any_log;
unfold term_was_created in *;
break_exists_exists;
find_higher_order_rewrite;
destruct_update; simpl in *; eauto;
rewrite update_elections_data_client_request_leaderLogs; eauto.
Ltac cr_in_aer_in_leader_log :=
find_eapply_lem_hyp in_aer; eauto; eapply_prop_hyp in_any_log_term_was_created in_any_log;
unfold term_was_created in *;
break_exists_exists;
find_higher_order_rewrite;
destruct_update; simpl in *; eauto;
rewrite update_elections_data_client_request_leaderLogs; eauto.
Ltac cr_in_ll_in_leader_log :=
find_eapply_lem_hyp in_ll; eauto; eapply_prop_hyp in_any_log_term_was_created in_any_log;
unfold term_was_created in *;
break_exists_exists;
find_higher_order_rewrite;
destruct_update; simpl in *; eauto;
rewrite update_elections_data_client_request_leaderLogs; eauto.
Proof using lhlli.
red. intros. unfold in_any_log_term_was_created. intros.
iae_case.
- unfold term_was_created. simpl in *.
find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
+ find_apply_lem_hyp handleClientRequest_log.
intuition; subst; repeat find_rewrite; try cr_in_log_in_leader_log.
break_exists. intuition.
repeat find_rewrite. simpl in *. intuition; subst.
* find_eapply_lem_hyp leaders_have_leaderLogs_invariant; eauto.
match goal with
| [h : name |- _ ] => (exists h)
end.
break_exists_exists.
repeat find_rewrite.
repeat find_higher_order_rewrite.
rewrite update_eq; auto. simpl.
rewrite update_elections_data_client_request_leaderLogs.
auto.
* cr_in_log_in_leader_log.
+ cr_in_log_in_leader_log.
- find_apply_hyp_hyp. intuition.
+ cr_in_aer_in_leader_log.
+ do_in_map. subst.
find_eapply_lem_hyp handleClientRequest_no_append_entries; eauto.
simpl in *.
intuition. find_false.
unfold mEntries in *. break_match; try congruence.
repeat eexists; eauto.
- find_higher_order_rewrite.
destruct_update; simpl in *.
+ find_rewrite_lem update_elections_data_client_request_leaderLogs.
cr_in_ll_in_leader_log.
+ cr_in_ll_in_leader_log.
Qed.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
eapply term_was_created_preserved; [eapply_prop in_any_log_term_was_created|];
[|intros; simpl in *;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto;
rewrite update_elections_data_timeout_leaderLogs; eauto].
iae_case.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_eapply_lem_hyp handleTimeout_log_same; eauto.
repeat find_rewrite. eauto.
- find_apply_hyp_hyp. intuition; eauto.
do_in_map. subst. simpl in *.
find_eapply_lem_hyp handleTimeout_not_is_append_entries; eauto.
intuition. find_false.
unfold mEntries in *. break_match; try congruence.
repeat eexists; eauto.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_rewrite_lem update_elections_data_timeout_leaderLogs; eauto.
Qed.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
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.
eapply term_was_created_preserved; [eapply_prop in_any_log_term_was_created|];
[|intros; simpl in *;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto].
iae_case.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_eapply_lem_hyp doLeader_log; eauto.
repeat find_rewrite. eauto.
- find_apply_hyp_hyp. intuition; eauto.
do_in_map. subst. simpl in *.
unfold mEntries in *. break_match; try congruence.
find_inversion.
find_eapply_lem_hyp doLeader_message_entries; eauto.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
Qed.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
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.
eapply term_was_created_preserved; [eapply_prop in_any_log_term_was_created|];
[|intros; simpl in *;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto].
iae_case.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_eapply_lem_hyp doGenericServer_log; eauto.
repeat find_rewrite. eauto.
- find_apply_hyp_hyp. intuition; eauto.
do_in_map. subst. simpl in *.
find_apply_lem_hyp doGenericServer_packets. subst.
simpl in *. intuition.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
Qed.
Proof using.
red. intros. unfold in_any_log_term_was_created. intros.
unfold in_any_log_term_was_created, term_was_created in *.
iae_case.
- repeat find_reverse_higher_order_rewrite.
find_eapply_lem_hyp in_log.
eapply_prop_hyp in_any_log in_any_log.
break_exists_exists; repeat find_higher_order_rewrite; eauto.
- find_apply_hyp_hyp.
find_eapply_lem_hyp in_aer; eauto.
eapply_prop_hyp in_any_log in_any_log.
break_exists_exists; repeat find_higher_order_rewrite; eauto.
- repeat find_reverse_higher_order_rewrite.
find_eapply_lem_hyp in_ll; eauto.
eapply_prop_hyp in_any_log in_any_log.
break_exists_exists; repeat find_higher_order_rewrite; eauto.
Qed.
Proof using.
red. unfold in_any_log_term_was_created, term_was_created. intros.
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.
iae_case; eauto.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *;
find_apply_lem_hyp in_log;
eapply_prop_hyp in_any_log in_any_log;
break_exists_exists;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto.
- repeat find_reverse_rewrite.
find_eapply_lem_hyp in_aer; eauto.
eapply_prop_hyp in_any_log in_any_log;
break_exists_exists;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto.
- repeat find_higher_order_rewrite.
destruct_update; simpl in *;
find_eapply_lem_hyp in_ll; eauto;
eapply_prop_hyp in_any_log in_any_log;
break_exists_exists;
repeat find_higher_order_rewrite;
destruct_update; simpl in *; eauto.
Qed.

Lemma in_any_log_term_was_created_init :
refined_raft_net_invariant_init in_any_log_term_was_created.