Proof using rmri tsi glemi lphogli glci lalcii rlmli smspi si rri.
unfold msg_refined_raft_net_invariant_append_entries', everything.
intuition.
- eapply lifted_maxIndex_sanity_append_entries; eauto.
intros.
find_apply_hyp_hyp.
intuition.
right.
subst.
unfold mgv_deghost_packet. auto.
- eapply commit_invariant_append_entries; eauto.
- apply state_machine_safety_deghost.
+ apply commit_invariant_lower_commit_recorded_committed. auto.
eapply commit_invariant_append_entries; eauto.
+ apply state_machine_safety'_invariant. auto using msg_simulation_1.
Qed.

(* Specifications: *)
Lemma everything_append_entries_reply :
msg_refined_raft_net_invariant_append_entries_reply' everything.