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Beraisa: Psal [it means schach] extending outside of a sukkah is considered an extension to the sukkah [it is kosher].
Ulla: It refers to schach that sticks out behind the sukkah.
Rabbah and Rav Yosef both said: It refers to schach that projects in front of the sukkah.
Rabbah bar bar Chana quoting Rabbi Yochanan: It refers to a sukkah that is mostly properly shaded, but a small area has ‘more sunshine than shade’.
Summary
Rabbi Oshaya: It refers to a small sukkah [precisely 7x7 tefachim] in which less than 3 tefachim are covered with possul schach. (Here ‘psal’ means possul schach).
Extends ‘outside of the sukkah’ means that it “goes out” from the status of kosher schach.
Rav Hoshaya: Airspace is worse than possul schach (14.6) but even airspace of less than 3 tefachim does not invalidate such a sukkah. [So the law of the beraisa is superfluous].
Rabbi Abba: Possul schach less than 3 tefachim is considered schach: It is counted as part of 7 tefachim and one may sleep underneath it. Airspace is not considered schach. Although it is counted as part of 7 tefachim, one may not sleep underneath it.
Challenge: How can airspace be counted as part of the sukkah while one cannot sit underneath it? Is there any other case similar to this?
Rabbi Yitzchok ben Elyashiv: There is. Mud that is soft enough to pour.
It can be counted towards 40 seah to make a mikvah kosher, but one cannot immerse in that part of the water. This podcast has been graciously sponsored by JewishPodcasts.fm. There is much overhead to maintain this service so please help us continue our goal of helping Jewish lecturers become podcasters and support us with a donation: https://thechesedfund.com/jewishpodcasts/donate