Section AppendEntriesRequestLeaderLogs.
Context {orig_base_params : BaseParams}.
Context {one_node_params : OneNodeParams orig_base_params}.
Context {raft_params : RaftParams orig_base_params}.
Context {lhllsi : leaders_have_leaderLogs_strong_interface}.
Context {rri : raft_refinement_interface}.
Context {si : sorted_interface}.
Context {lmi : log_matching_interface}.
Context {nisi : nextIndex_safety_interface}.
Proof using si rri.
intros.
eapply lift_prop; eauto using logs_sorted_invariant.
Qed.
Proof using si rri.
intros.
find_apply_lem_hyp lift_sorted.
unfold logs_sorted, logs_sorted_host in *.
intuition.
unfold deghost in *. simpl in *. break_match; eauto.
Qed.
Proof using lmi rri.
intros.
eapply lift_prop; eauto using log_matching_invariant.
Qed.
Proof using.
unfold update_elections_data_client_request in *.
intros. repeat break_match; repeat find_inversion; auto.
Qed.

Lemma update_elections_data_timeout_leaderLogs :
forall h st,
leaderLogs (update_elections_data_timeout h st) =
leaderLogs (fst st).