Section LeadersHaveLeaderLogs.
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}.
Proof using.
intros.
unfold handleRequestVoteReply, advanceCurrentTerm in *.
repeat break_match; try find_inversion; subst; simpl in *; intuition.
Qed.
Ltac start :=
red; unfold leaders_have_leaderLogs; intros;
subst; simpl in *; find_higher_order_rewrite;
update_destruct; subst; rewrite_update; eauto; simpl in *.
Proof using.
start.
find_apply_lem_hyp handleAppendEntries_type. intuition; try congruence.
rewrite update_elections_data_appendEntries_leaderLogs.
repeat find_rewrite. eauto.
Qed.
Proof using.
start.
find_apply_lem_hyp handleAppendEntriesReply_type. intuition; try congruence.
repeat find_rewrite. eauto.
Qed.
Proof using.
start.
find_apply_lem_hyp handleRequestVote_type. intuition; try congruence.
rewrite leaderLogs_update_elections_data_requestVote.
repeat find_rewrite. eauto.
Qed.
Proof using.
start.
unfold update_elections_data_requestVoteReply.
break_match; unfold raft_data in *;
try solve [repeat find_rewrite; congruence].
simpl in *.
match goal with
| |- context [ handleRequestVoteReply ?h ?st ?s ?t ?v ] =>
pose proof handleRequestVoteReply_spec h st s t v (handleRequestVoteReply h st s t v)
end. intuition; break_if; intuition; simpl in *; repeat find_rewrite; eauto; congruence.
Qed.
Proof using.
start.
find_apply_lem_hyp handleClientRequest_type. intuition; try congruence.
rewrite update_elections_data_client_request_leaderLogs.
repeat find_rewrite. eauto.
Qed.
Proof using.
start.
find_apply_lem_hyp handleTimeout_type. intuition; try congruence.
rewrite update_elections_data_timeout_leaderLogs.
repeat find_rewrite. eauto.
Qed.
Proof using.
start.
find_apply_lem_hyp doGenericServer_type. intuition; try congruence.
match goal with
| [ H : forall _, _ -> exists _, _, h : name |- _ ] =>
specialize (H h)
end.
repeat find_rewrite. eauto.
Qed.
Proof using.
start.
find_apply_lem_hyp doLeader_type. intuition; try congruence.
match goal with
| [ H : forall _, _ -> exists _, _, h : name |- _ ] =>
specialize (H h)
end.
repeat find_rewrite. eauto.
Qed.

Lemma leaders_have_leaderLogs_init :
refined_raft_net_invariant_init leaders_have_leaderLogs.