Proof using rmri lalcii smspi rri.
unfold msg_refined_raft_net_invariant_append_entries_reply', everything.
intuition.
- eapply lifted_maxIndex_sanity_append_entries_reply; eauto.
- eapply commit_invariant_append_entries_reply; eauto.
- apply state_machine_safety_deghost.
+ apply commit_invariant_lower_commit_recorded_committed. auto.
eapply commit_invariant_append_entries_reply; eauto.
+ apply state_machine_safety'_invariant. auto using msg_simulation_1.
Qed.

Lemma everything_request_vote :
msg_refined_raft_net_invariant_request_vote' everything.