And that which he wrote, that if he had intercourse with her for the purpose of marriage she becomes a married woman, it is clear from his words that through intercourse for the purpose of marriage she becomes a married woman even though she did not set herself apart for him to take her into his house. And it is necessary to distinguish according to his words that when the Sages, of blessed memory, said one who has intercourse with his betrothed is lashed, this is when his intention was not explicitly for the purpose of marriage; but with the intention for marriage, she becomes a married woman through this intercourse. And one cannot say that his intention refers to the preparation to take her into his house, for if so, intercourse would not be necessary and a mere yichud would suffice. Rather, certainly he holds that since the Sages, of blessed memory, established that through yichud with preparation and readiness she becomes a married woman, and the yichud is only for the sake of intercourse, all the more so that through the intercourse itself no preparation or readiness is required. And it is possible that witnesses of yichud are not required for this intercourse, and it is not similar to kiddushin through intercourse which requires witnesses, for there it is the beginning of his acquisition, whereas the intercourse of marriage is similar to the intercourse of a yevamah. For even regarding the essence of the intercourse it is more lenient than the intercourse of kiddushin, for there the completion of intercourse is required according to the opinion of the Rif and the Rambam, as I wrote in siman 33, section 4, while regarding the intercourse of marriage, the Rambam wrote that initial contact suffices [and his source is from Yevamot 55b as the Rif wrote there, and see the Ran in the first chapter, beginning with the words "We learn in the Gemara, they inquired"]. And the intercourse of marriage or the chuppah, since it is revealed to all, it is as if there are witnesses, as I wrote in siman 149; and see what I wrote in siman 26, section 5.
וזה שכתב דאם בא עליה לשם נשואין נעשית נשואה, ומבואר מדבריו דבביאה לשם נשואין נעשית נשואה אע"פ שלא הפרישה לו ליקח אותה לביתו, וצריך לחלק לדבריו דזה שאמרו חז"ל הבא על ארוסתו לוקה זהו כשלא היתה כוונתו לשם נשואין מפורש, אבל בכוונה לנשואין נעשית נשואה בביאה זו, ואין לומר דכוונתו הוא בהזמנה ליקח אותה לביתו, דא"כ א"צ ביאה ודי ביחוד בעלמא, אלא וודאי דס"ל דכיון דחז"ל קבעו שביחוד בהכנה ובהזמנה נעשית נשואה והיחוד אינו אלא צורך ביאה כ"ש דבביאה עצמה א"צ שום הכנה והזמנה. ואפשר דא"צ עידי יחוד לביאה זו, ולא דמי לקדושי ביאה דצריך עדים דשם הוא תחלת קניינו, וביאת נשואין הוה דומיא דביאת יבמה, והרי גם בעיקר הביאה קילא מביאה דקדושין דשם צריך גמר ביאה לדעת הרי"ף והרמב"ם כמ"ש בסי' ל"ג סעי' ד' ואלו ביאת נשואין כתב הרמב"ם דדי בהעראה [ומקורו מיבמות נ"ה: כמ"ש הרי"ף שם, וע' ר"ן פ"ק ד"ה גרסינן בגמ' איבעיא להו], וביאה דנשואין או חופה כיון שגלוי לכל הוה כעדים וכמ"ש בסי' קמ"ט, ועמ"ש בסי' כ"ו סעי' ה'.