Reference for Kiddushin 145:7

והילכתא גר מותר בכהנת ומותר בממזרת מותר בכהנת לא הוזהרו כשירות להנשא לפסולים ומותר בממזרת כרבי יוסי

Fo Rab Judah said in Rab's name: Fit women [sc. daughters of priests] were not admonished against being married to the unfit.<span class="x" onmousemove="('comment',' I.e., to those who may not marry into the priesthood. Thus, whereas a priest may not marry the daughter of a halal, freedman or proselyte, the daughter of a priest may marry one of these. - This does not refer to the ordinary unfit, such as mamzerim or Nethinim.');">¹¹</span> R'Zera lectured in Mahuza: A proselyte may marry a mamzereth.

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