What is the consequence regarding the dower (mahr) if a wife, before consummation, chooses annulment after manumission, versus if she is divorced irrevocably before consummation without choosing annulment?

Primary text

If the wife chooses annulment before consummation, her dower is forfeited because she separates from the marriage via annulment. If she is irrevocably divorced before consummation without choosing annulment, she is entitled to half of the dower because she separates via divorce.