Proof using.
unfold msg_refined_raft_net_invariant_init, lifted_maxIndex_sanity, maxIndex_lastApplied, maxIndex_commitIndex.
intuition.
Qed.

Lemma handleClientRequest_lastApplied :
forall h st client id c out st' l,
handleClientRequest h st client id c = (out, st', l) ->
lastApplied st' = lastApplied st.