Whenever, in condemnation proceedings prosecuted by the city, compensation or damages or both are awarded to the owners of, and other parties interested in, any real property taken or damaged, and an assessment upon property benefited is made to pay the whole or any part of the compensation or damages, or both awarded in such proceeding, and any person or persons to whom any such award of compensation or damages or both is made, also owns real property which is assessed in the same proceeding to pay the compensation and damages awarded in said proceeding, such person or persons may offset, pro tanto, the amount of the compensation or damages, or both, awarded to such person or persons, against the assessment levied upon real property owned by such person or persons, in the manner herein provided. (Prior code § 13.56.010.)