(Mishnah): If five Chatzeros open to each other and to a Mavoy:

If the Chatzeros made Eruvin [with each other] but were not Mishtatef in the Mavoy, the Chatzeros are permitted, and the Mavoy is forbidden;

If they were Mishtatef in the Mavoy, everything is permitted. (The Gemara will explain the entire Mishnah.)

If they were Me'arev in the Chatzeros and Mishtatef in the Mavoy, but one person forgot to be Me'arev in the Chatzer, they are permitted everywhere;

If one person forgot to be Mishtatef in the Mavoy, the Chatzeros are permitted, and the Mavoy is forbidden, for the relationship of the Mavoy to the Chatzeros is like Chatzeros to houses.

(Gemara): [If the Chatzeros made Eruvin but were not Mishtatef in the Mavoy, they are forbidden in the Mavoy, for the relationship of the Mavoy to the Chatzeros is like Chatzeros to houses, since [the Chatzeros] are open one to another and open to the Mavuy;

However, [if the Chatzeros] are open one to another and not open to the Mavuy, even if they made Eruvin, they are forbidden [because the inner Chatzeros must pass through the outer in order to get to the Mavuy].

(R. Yosah): This is like R. Akiva, for R. Akiva says that Drisas ha'Regel (rights to walk through) forbids.

Our Mishnah says "if the Chatzeros made Eruvin but were not Mishtatef in the Mavoy [the Mavoy is forbidden].'' Our Mishnah is like R. Meir, for R. Meir says that [they are permitted] through Eruv and through Shituf.

Everyone conducts like R. Meir.

Regarding Eruvin (when there is already Shituf) and Ta'anis Tzibur, everyone conducts like R. Meir (there is Birkas Kohanim at Minchah and Ne'ilah of Ta'anesim).

(R. Ze'ira citing R. Yochanan): Also regarding Megilas Esther, everyone conducts like R. Meir [who obligates reading all of it].

(R. Yakov bar Acha citing R. Yochanan and citing R. Elazar): Even though R. Meir said that [they are permitted] through Eruv and through Shituf, he agrees that if one of them forgot and was not Me'arev, he relies on his Shituf. (We explained this like YERUSHALMI KI'PESHUTO.)

Who holds [that they are permitted] through Eruv and through Shituf? Is it not R. Meir? R. Meir said [to require] through Eruv and through Shituf lest you cause people to forget laws of Eruvin. (Here that all were Me'arev, except for one, we are not concerned lest Hilchos Eruvin be forgotten.)

[The reason why R. Meir requires Eruv in addition to Shituf] is like R. Acha or R. Ila. (We explained this like PNEI MEIR);

One of them said [that R. Meir requires Eruv in addition to Shituf] lest one go to a Chatzer that does not need Shituf;

Which Chatzer does not need Shituf? It is a Chatzer that is Rogeles (has its own opening to Reshus ha'Rabim, and does not go through the Mavuy). He sees [people in the Chatzer] being Me'arev and not making Shituf. Also he will think that Eruv permits [the Mavuy] without Shituf, and [really], Eruv does not help [of the Mavuy] without Shituf.

The other said [that R. Meir requires Eruv in addition to Shituf] lest one go to a Chatzer that already made Shituf, and he sees [Bnei ha'Chatzer] not being Me'arev and not making Shituf. Also he will not be Me'arev or make Shituf. (We explained this like PNEI MEIR.)

Obviously, we may be Me'arev in Chatzeros and do Shituf in the Mavuy.

If they were Me'arev in Chatzeros, if they do not want to do Shituf in the Mavuy, they do not do Shituf (and they are forbidden in the Mavuy);

If they did Shituf in the Mavuy, if they want to be Me'arev, they are Me'arev. (It is optional. In any case they are permitted even in the Chatzeros.)

Support (Beraisa): We are Me'arev and also make Shituf. R. Meir says so;

Chachamim say, we are Me'arev in the Chatzeros or make Shituf in the Mavuy. If they were Me'arev in the Chatzeros, they are permitted in the Chatzeros and forbidden in the Mavuy. If they made Shituf in the Mavuy, they are permitted here and here.

R. Meir (to Chachamim): You cause us to forget Hilchos Eruvin (if people rely only on Shituf, children will not see Eruvin).

(Mishnah): For the relationship of the Mavoy to the Chatzeros is like Chatzeros to houses.

Question: How many Chatzeros must be in the Mavuy [for it to be permitted through a Lechi or Korah]?

Answer #1 (Rav and Shmuel): There cannot be less than two [and houses open to the Chatzeros].

Answer #2 (R. Yakov bar Acha citing R. Yochanan): Even one Chatzer here and one Chatzer here [suffices, even if no houses open to them].

Answer #3 (R. Acha citing R. Chinena citing R. Yochanan): Even a Chatzer here and a house here, or a house here and a store here [suffices].

Answer #4 (Rav Nachman bar Yakov citing R. Yochanan): A Mavuy cannot have less than two Chatzeros, and a Chatzer cannot have less than two houses.

If the length and width of a Mavuy are the same, it is not permitted through a Lechi or Korah, rather, through planks, like a Chatzer.

Shmuel asked Rav how much the length must exceed the width. Rav answered him "any amount.''

So residents of Eretz Yisrael make [their Mavo'os] square [so this Halachah is very relevant].

(R. Yosah): When I was there (in Bavel), I heard Rav Yehudah ask Shmuel "if one separated his [half-]Shekel and died, [what is the law?] He told him, it falls to Nedavah (Olos Tzibur for when the Mizbe'ach is idle).

Question: Excess Asiris ha'Eifah (if coins were separated for Chavitei Kohen Gadol, and not all were needed, what does he do with the remainder)?

Answer #1 (R. Yochanan): They go to the Dead Sea (no one may benefit from them).

Answer #2 (R. Elazar): They fall to Nedavah.

Question (to Shmuel): May one be Mevatel Reshus from Chatzer to Chatzer (if one of the Chatzeros did not make Shituf in the Mavuy, can it be Mevatel its Reshus to the others)?

Answer (Shmuel): One may be Mevatel Reshus from Chatzer to Chatzer.

Question (to R. Yosi): Just like it was taught that Kelim that were Shoves in the Chatzer, one may move them in the entire Chatzer - do we similarly say that Kelim that were Shoves in the Mavuy, one may move them in the entire Mavuy?

They asked him amidst (while learning) Shabbos, and he did not answer, for R. Yosi said every matter only in the proper place.

Answer #1: When they came to [learn] Eruvin, he told them in the name of R. Yochanan that Kelim that were Shoves in the Mavuy, one may move them in the entire Mavuy.

Answer #2 (Rav): One may move them only within four Amos.

(R. Yosah bei R. Bun): Rav taught like he taught elsewhere, and R. Yochanan taught like he taught elsewhere;

R. Yochanan taught that a Korah permits without Shituf. He taught that we may move them in the entire Mavuy;

Rav taught that a Korah does not permit without Shituf. He said that we may move them only within four Amos.

Question: According to R. Yochanan, why do we make Shituf in the entire Mavuy?

Answer (R. Yosah bei R. Bun): It is in order to make all the Reshuyos one (permit transferring even from houses to the Mavuy and vice-versa).

Question: Obviously, we rely on Shituf (i.e. partnership of wine to permit) the Mavuy. May we rely on Shituf [of bread to permit] the Chatzeros?

Answer (R. Yakov bar Acha and R. Ze'ira - one of them citing Mar Ukvan, and one of them citing Rav Nachman bar Yehudah): We may rely on Shituf Chatzeros the first Shabbos [that they forgot] in pressed circumstances.

(R. Yosi bei R. Bun citing Rav Yehudah): This refers to people like of Bar Dalei, who are not adamant about their bread. (Even so, we may rely on Shituf Chatzeros only the first Shabbos, in pressed circumstances.)

(R. Ba citing Rav Yehudah): Even not for people like of Bar Dalei, who are not adamant about their bread (even so, we may rely on Shituf Chatzeros the first Shabbos, in pressed circumstances. MAGID MISHNAH - they made Shituf with something [other than bread] that they are not adamant about it. We explained this like YERUSHALMI KI'PESHUTO.)

(Beraisa): A case occurred in which people were reclining [to eat] in an open part of a Chatzer, and Shabbos came. The case came in front of Shmuel, and he said "since they began [eating] a Tavshil during the day, they are permitted.''

Inferences: This shows that [the Tavshil is considered Shituf] even if they were reclining in an open part of a Chatzer [it need not be in a house.] This shows that even if they were not Me'arev [in the Chatzeros beforehand]. This shows that even if they did not intend [for the food to be Shituf].

Rejection: (It was not considered Shituf. They were permitted to finish only because they began. Why was it not considered Shituf?) This shows that two Reshuyos may not use one Reshus. (They had not brought the food for the sake of Shituf. The Chatzer in which they ate can acquire only for its members, but not for another Chatzer.)

Inference: [How could Shmuel be lenient, just because they began eating during the day? We must say that they were Me'arev in the Chatzeros, and] we may rely on Shituf Chatzeros the first Shabbos, in pressed circumstances. (We explained this like MEICHAL HA'MAYIM.)

Question: Obviously, Eruv needs [to be placed in] a house. Does Shituf need [to be placed in] a house?

Answer #1: Rav's teaching shows that [only] Eruv needs [to be placed in] a house;

(R. Acha citing Rav): One may put [Shituf] in the airspace of a Chatzer or in the airspace of the Mavuy.

Answer #2: Shmuel's teaching shows that Shituf needs [to be placed in] a house.

Note: Above, we concluded that Shmuel permitted due to Shituf of the Chatzeros, and not of the Mavuy! Perhaps the Yerushalmi refers to a teaching of Shmuel not brought here. (According to our text, without the addition from the Rashba, it refers to Rav's teaching without citing it.) Alternatively, we are thinking like the initial inferences, that Shmuel permitted due to Shituf in the Mavuy. If he required Eruvin or intent, he would require them even b'Di'eved. Rather, l'Chatchilah he holds that it must be placed in a house. This is why he permitted only because they already began.

Question: A Beraisa argues with Shmuel! It says that one may put Shituf in a Beis Sha'ar!

Support (for Answer #1 - R. Bun bar Chiyah citing R. Avahu citing R. Yochanan): One may put [Shituf] in the airspace of a Chatzer or in the airspace of the Mavuy.