Proof of proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos theorem

import proveit
theory = proveit.Theory() # the theorem's theory
from proveit.numbers import RationalPos
from proveit.numbers.number_sets.rational_numbers import rationals_pos_def

%proving positive_if_in_rational_pos

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

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

rationals_pos_def

 ⊢