Proof using rmri lalcii smspi rri.
unfold msg_refined_raft_net_invariant_init, everything.
intuition.
- apply lifted_maxIndex_sanity_init.
- apply commit_invariant_init.
- apply state_machine_safety_deghost.
+ apply commit_invariant_lower_commit_recorded_committed; [constructor|].
apply commit_invariant_init.
+ apply state_machine_safety'_invariant.
constructor.
Qed.

Lemma everything_client_request :
msg_refined_raft_net_invariant_client_request' everything.