Proof of proveit.numbers.division.distribute_frac_through_summation theorem

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

%proving distribute_frac_through_summation

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

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