Section RequestVoteReplyTermSanity.
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 {rvtsi : requestVote_term_sanity_interface}.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
subst. repeat find_higher_order_rewrite.
assert (In p0 (nwPackets net)) by
(find_apply_hyp_hyp; repeat find_rewrite; intuition; [in_crush|];
exfalso; subst; simpl in *; subst;
unfold handleAppendEntries in *;
repeat break_match; find_inversion).
repeat find_rewrite.
destruct_update; simpl in *; eauto.
find_copy_apply_lem_hyp handleAppendEntries_currentTerm_leaderId.
intuition; repeat find_rewrite; eauto;
eapply_prop_hyp pBody pBody; eauto; lia.
Qed.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
assert (In p0 (nwPackets net)) by
(repeat find_rewrite;
find_apply_lem_hyp handleAppendEntriesReply_packets;
subst; simpl in *; find_apply_hyp_hyp; intuition; in_crush).
repeat find_rewrite.
repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
repeat find_rewrite.
find_copy_apply_lem_hyp handleAppendEntriesReply_type_term;
intuition; eauto;
eapply_prop_hyp pBody pBody; eauto; lia.
Qed.
Proof using rvtsi.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
find_copy_apply_lem_hyp handleRequestVote_votesReceived.
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
- repeat find_rewrite.
find_apply_hyp_hyp. intuition.
+ assert (In p0 (nwPackets net)) by (repeat find_rewrite; in_crush).
find_copy_apply_lem_hyp handleRequestVote_currentTerm_leaderId.
intuition; repeat find_rewrite; eauto;
eapply_prop_hyp pBody pBody; eauto; lia.
+ remember (pDst p0). subst p0. simpl in *.
subst.
find_copy_apply_lem_hyp handleRequestVote_reply_true'.
intuition.
- find_apply_hyp_hyp. intuition.
+ assert (In p0 (nwPackets net)) by (repeat find_rewrite; in_crush).
find_copy_apply_lem_hyp handleRequestVote_currentTerm_leaderId.
intuition; repeat find_rewrite; eauto;
eapply_prop_hyp pBody pBody; eauto; lia.
+ remember (pDst p0). subst p0. simpl in *.
subst.
find_copy_apply_lem_hyp handleRequestVote_reply_true'.
intuition. subst.
eapply requestVote_term_sanity_invariant; eauto.
Qed.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_apply_hyp_hyp.
assert (In p0 (nwPackets net)) by (repeat find_rewrite; in_crush).
repeat find_rewrite.
eauto using handleRequestVoteReply_currentTerm.
Qed.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
assert (In p (nwPackets net)) by
(find_apply_hyp_hyp; intuition; exfalso; do_in_map; subst; simpl in *;
unfold handleTimeout, tryToBecomeLeader in *;
repeat break_match; find_inversion; simpl in *; intuition;
do_in_map; subst; simpl in *; congruence).
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_apply_lem_hyp handleTimeout_log_term_type.
intuition; repeat find_rewrite; eauto.
Qed.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
find_copy_apply_lem_hyp handleClientRequest_packets.
subst. simpl in *.
find_apply_hyp_hyp. intuition.
repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_apply_lem_hyp handleClientRequest_term_votedFor.
intuition; repeat find_rewrite; eauto.
Qed.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
assert (In p (nwPackets net)) by
(find_apply_hyp_hyp; intuition;
do_in_map; subst;
unfold doLeader, replicaMessage in *;
repeat break_match; find_inversion; subst; simpl in *; intuition;
do_in_map; subst; simpl in *; congruence).
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.
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto;
find_apply_lem_hyp doLeader_term_votedFor; intuition; repeat find_rewrite; eauto.
Qed.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
find_copy_apply_lem_hyp doGenericServer_packets. subst. simpl in *.
find_apply_hyp_hyp. intuition.
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.
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto;
find_apply_lem_hyp doGenericServer_log_type_term_votesReceived;
intuition; repeat find_rewrite; eauto.
Qed.
Proof using.
red. unfold requestVoteReply_term_sanity. intros. simpl in *.
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.
subst. repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto; congruence.
Qed.

Lemma requestVoteReply_term_sanity_state_same_packet_subset :
refined_raft_net_invariant_state_same_packet_subset requestVoteReply_term_sanity.