Proof of proveit.linear_algebra.inner_products.complex_set_is_hilbert_space theorem

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

%proving complex_set_is_hilbert_space

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