Ltac cr_in_log_in_leader_log :=
    find_eapply_lem_hyp in_log; eapply_prop_hyp in_any_log_term_was_created in_any_log;
    unfold term_was_created in *;
    break_exists_exists;
    find_higher_order_rewrite;
    destruct_update; simpl in *; eauto;
    rewrite update_elections_data_client_request_leaderLogs; eauto.Ltac cr_in_aer_in_leader_log :=
    find_eapply_lem_hyp in_aer; eauto; eapply_prop_hyp in_any_log_term_was_created in_any_log;
    unfold term_was_created in *;
    break_exists_exists;
    find_higher_order_rewrite;
    destruct_update; simpl in *; eauto;
    rewrite update_elections_data_client_request_leaderLogs; eauto.Ltac cr_in_ll_in_leader_log :=
    find_eapply_lem_hyp in_ll; eauto; eapply_prop_hyp in_any_log_term_was_created in_any_log;
    unfold term_was_created in *;
    break_exists_exists;
    find_higher_order_rewrite;
    destruct_update; simpl in *; eauto;
    rewrite update_elections_data_client_request_leaderLogs; eauto.

(* Specifications: *)
Lemma in_any_log_term_was_created_client_request : refined_raft_net_invariant_client_request in_any_log_term_was_created.
Lemma in_any_log_term_was_created_timeout : refined_raft_net_invariant_timeout in_any_log_term_was_created.
Lemma in_any_log_term_was_created_do_leader : refined_raft_net_invariant_do_leader in_any_log_term_was_created.
Lemma in_any_log_term_was_created_do_generic_server : refined_raft_net_invariant_do_generic_server in_any_log_term_was_created.
Lemma in_any_log_term_was_created_state_same_packet_subset : refined_raft_net_invariant_state_same_packet_subset in_any_log_term_was_created.
Lemma in_any_log_term_was_created_reboot : refined_raft_net_invariant_reboot in_any_log_term_was_created.
Lemma in_any_log_term_was_created_init : refined_raft_net_invariant_init in_any_log_term_was_created.
Theorem in_any_log_term_was_created_invariant : forall net, refined_raft_intermediate_reachable net -> in_any_log_term_was_created net.