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.

Lemma in_any_log_term_was_created_init : refined_raft_net_invariant_init in_any_log_term_was_created.