Proof of proveit.numbers.exponentiation.real_power_of_product theorem

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

%proving real_power_of_product

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

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