אבן העזר קנ״בEven HaEzer 152

Se’if 1א׳

הַבַּעַל שֶׁאָמַר: גֵּרַשְׁתִּי אֶת אִשְׁתִּי, אֵינוֹ נֶאֱמָן, וְחוֹשְׁשִׁין לִדְבָרָיו וְתִהְיֶה סְפֵק מְגֹרֶשֶׁת. וַאֲפִלּוּ הוֹדֵית לוֹ שֶׁגֵּרְשָׁהּ, אֵינָם נֶאֱמָנִים:

The that husband says, "I divorced my wife" is not believed since we are are skeptical of his words and she is thus rendered to be "questionably divorced." Even if she admits to being divorced by him, they are not believed.

Se’if 2ב׳

הָאוֹמֶרֶת לְבַעְלָהּ: גֵּרַשְׁתַּנִי, וְהוּא מַכְחִישָׁהּ, נִתְבָּאֵר סִימָן י"ז:

[The case of] a woman that said to her husband, "You divorced me," but he denied [her claim] will be clarified in siman 17.

Se’if 3ג׳

שְׁנַיִם אוֹמְרִים: נִתְגָּרְשָׁה, וּשְׁנַיִם אוֹמְרִים: לֹא נִתְגָּרְשָׁה, אֲפִלּוּ הַבַּעַל עוֹמֵד וְהִיא אוֹמֶרֶת לוֹ גֵּרַשְׁתַּנִי, הֲרֵי זוֹ בְּחֶזְקַת אֵשֶׁת אִישׁ גְּמוּרָה, מִפְּנֵי שֶׁהָעֵדִים סוֹמְכִים אוֹתָהּ וְאֶפְשָׁר שֶׁתָּעִיז פָּנֶיהָ. לְפִיכָךְ, אִם נִשֵּׂאת, תֵּצֵא וְהַוָּלָד מַמְזֵר. בַּמֶּה דְּבָרִים אֲמוּרִים, כְּשֶׁאָמְרוּ: עַכְשָׁו נִתְגָּרְשָׁה, שֶׁהֲרֵי אוֹמְרִים לָהּ: אִם אֱמֶת הַדָּבָר הוֹצִיאִי גִּטֵּךְ, אֲבָל אִם אָמְרוּ הָעֵדִים: מִכַּמָּה יָמִים נִתְגָּרְשָׁה, יֵשׁ לוֹמַר אָבַד הַגֵּט, וְהוֹאִיל וְהִיא אוֹמֶרֶת: גְּרוּשָׁה אֲנִי בְּוַדַּאי, וּשְׁנַיִם עֵדִים מְעִידִים לָהּ, אַף עַל פִּי שֶׁהַשְּׁנַיִם מַכְחִישִׁין אוֹתָם, אִם נִשֵּׂאת לְאֶחָד מֵעֵדֶיהָ, לֹא תֵּצֵא, שֶׁהֲרֵי הִיא וּבַעְלָהּ יוֹדְעִים בְּוַדַּאי שֶׁהִיא מֻתֶּרֶת, וַחֲזָקָה הִיא שֶׁאֵין מְקַלְקְלִים עַצְמָם. אֲבָל אִם נִשֵּׂאת לְאַחֵר, הוֹאִיל וְהַדָּבָר אֶצְלוֹ סָפֵק, וְכֵן אִם אָמְרָה: אֵינִי יוֹדַעַת, תֵּצֵא, וְהַוָּלָד סְפֵק מַמְזֵר. אֲבָל כָּל הֵיכָא דְּלֵיכָּא הַכְחָשָׁה, אֶלָּא שְׁנַיִם אוֹמְרִים: נִתְגָּרְשָׁה עַכְשָׁו, וְאָמְרִינָן לָהּ: אַחְזִינָן גִּטֵּךְ, וְאָמְרָה: נֶאֱבַד אוֹ נִקְרַע, לֹא חַיְשִׁינָן לָהּ:

Two say, "she was divorced" and two say, "she was not divorced," even if the husband withstands and she says to him, "you divorced me," she [retains] that status of a completely married woman, since the witnesses support her and she would be brazen [to lie about divorce]. Therefore, if she [re]marries, she goes out and the child is a halakhic bastard. In what cases are we talking about? When they say, "now she was divorced," since they say to her, "if the matter is truthful, take out your get," but if the witnesses say, "for many days she was divorced," you could say the divorce writ was lost, and since she says, "I am certainly a divorcee," and two witnesses testify for her, even the [other] two [witnesses] contradict them, if she marries one of her witnesses, she does not go out, since she and her husband know certainly that she is permitted, and it's a presumption that they wouldn't ruin themselves. But if she marries someone else, since the matter is a doubt for him, and similarly if she says, "I don't know," she goes out and the child is a questionable halakhic bastard. But whenever there is no contradiction, rather two say, "she was divorced now" and we say to her, "show us your divorce writ," and she says, "it was lost or torn," we're not concerned for her.