Ltac in_aer :=
    repeat find_rewrite; eapply in_aer; eauto; repeat find_rewrite; reflexivity.

(* Specifications: *)
Lemma in_any_log_term_was_created_append_entries : refined_raft_net_invariant_append_entries in_any_log_term_was_created.
Lemma in_any_log_term_was_created_request_vote : refined_raft_net_invariant_request_vote in_any_log_term_was_created.
Lemma in_any_log_term_was_created_append_entries_reply : refined_raft_net_invariant_append_entries_reply in_any_log_term_was_created.
Lemma in_any_log_term_was_created_request_vote_reply : refined_raft_net_invariant_request_vote_reply in_any_log_term_was_created.