Proof of proveit.numbers.number_sets.real_numbers.not_real_not_in_interval_oc theorem

import proveit
theory = proveit.Theory() # the theorem's theory

%proving not_real_not_in_interval_oc

With these allowed/disallowed theorem/theory presumptions (e.g., to avoid circular dependencies), we begin our proof of
not_real_not_in_interval_oc:
(see dependencies)

not_real_not_in_interval_oc may now be readily provable (assuming required theorems are usable).  Simply execute "%qed".