Teshuvot Min HaShamayim Siman 13
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על מבואות המפולשין ואין ברחבן ט"ז אמה אם מותר לערב ולשתף בהם ולהתירן בצורה"פ מצד אחד ובלחי וקורה מצד אחד או לאו:
Regarding alleyways open at both ends, whose width does not reach 16 cubits, would it be possible to make an 'eruv', combining them into provide domains, and make it permitted to carry through them on Shabbat by means of a door-frame on one side, and a post and perpendicular protrusion on the other side?¹ Or is this not possible?²
footnotes: ¹ This is the opinion held by the Rif Eruvin 2a ² This is the opinion given in Tosafot on Eruvin 6b:2, named as the opinion of the Ri in Tur Orach Chaim 364.
והשיבו א"כ בטלתם מצות הוצאה:
They responded: If you allow this, you have negated the laws of carrying on Shabbat.³
footnotes: ³ cf. Eruvin 64a:1