Proof using.
unfold msg_refined_raft_net_invariant_do_generic_server,
lifted_maxIndex_sanity, maxIndex_lastApplied, maxIndex_commitIndex.
intuition; find_higher_order_rewrite; update_destruct_simplify; auto;
erewrite doGenericServer_log by eauto.
- repeat match goal with
| [ H : forall _ , _ |- _ ] => specialize (H h0)
end.
repeat find_rewrite. simpl in *.
find_apply_lem_hyp doGenericServer_lastApplied.
unfold mgv_refined_base_params, raft_refined_base_params, refined_base_params in *.
simpl in *.
intuition; repeat find_rewrite; auto.
- repeat match goal with
| [ H : forall _ , _ |- _ ] => specialize (H h0)
end.
unfold mgv_refined_base_params, raft_refined_base_params, refined_base_params in *.
simpl in *.
repeat find_rewrite. simpl in *.
erewrite doGenericServer_commitIndex by eauto.
auto.
Qed.

Lemma lifted_maxIndex_sanity_state_same_packet_subset :
msg_refined_raft_net_invariant_state_same_packet_subset lifted_maxIndex_sanity.