Mishnah — Seder Nashim, Tractate KiddushinChapter 4…
“ And if they wish, one gives a bill of divorce and one brings [her] in [to marriage] . Similarly, a woman who gave authority to her agent to betroth her [to another man] , and she herself went and betrothed herself — If hers preceded, her betrothal is [a valid] betrothal, and if her agent's preceded, his betrothal is [a valid] betrothal, [If] it is not known [which preceded] — Both of [the potential grooms] give a bill of divorce. And if they wish, one gives a bill of divorce and one brings [her] in [to marriage] . ”
