The Purpose and Mitzvah of Establishing a Valid Eruv
There is a genuine mitzvah associated with eruvin. The Alter Rebbe states it explicitly. To understand what that means, however, it is necessary to distinguish between the different halachic institutions that are commonly called an eruv.
In the classical halachos, eruv chatzeiros joins residents of an already enclosed courtyard, and shitufei mevo'os joins the courtyards that use an already qualified lane. The food used for this joining is not the physical wall around the area, and the mitzvah of arranging that joining does not itself decide whether a proposed city perimeter is halachically capable of enclosing its streets.
That distinction preserves both parts of the halacha. A valid eruv is something to be pursued where it can properly be made, and validity remains a prerequisite rather than a conclusion supplied by the mitzvah itself.
Eruv chatzeiros joins an already enclosed area
The Alter Rebbe opens Orach Chaim 366 by describing a courtyard with many homes opening into it. According to Torah law, the courtyard is already a complete reshus hayachid. Nevertheless, because each home belongs to its own resident while the courtyard is shared, Chazal prohibited carrying between the homes and the courtyard until the residents establish an eruv.
The eruv chatzeiros is made with bread. By placing the food together, the residents are regarded for these halachos as dwelling together in one place, so that the separate homes and common courtyard are joined.
The Alter Rebbe then writes in 366:18:
מִצְוָה לַחֲזוֹר אַחַר עֵרוּבֵי חֲצֵרוֹת, כְּדֵי שֶׁלֹּא יָבֹאוּ לְטַלְטֵל בְּאִסּוּר.
It is a mitzvah to see to it that eruv chatzeiros is arranged, so that people should not come to carry in a prohibited manner.
The purpose stated here is not abstract. The enactment protects the laws of hotza'ah, and the eruv allows the residents to use an already qualified shared domain without violating the Rabbinic restriction that Chazal placed upon carrying between their separate dwellings and common area.
Shitufei mevo'os extends the communal joining
A shituf mevo'os performs a related function on the level of a lane shared by several courtyards. Again, the physical status of the lane comes first.
Orach Chaim 386:1 speaks about a lane that has already received its required physical modification, such as a lechi or tzuras hapesach. Chazal nevertheless prohibited carrying between the privately held courtyards and the lane, which is used in common, until the courtyards are joined through a shituf. Food is collected or shared for that purpose.
The Alter Rebbe states in Orach Chaim 395:1:
מִצְוָה לְחַזֵּ(ו)ר אַחַר שִׁתּוּפֵי מְבוֹאוֹת כְּמוֹ אַחַר עֵרוּבֵי חֲצֵרוֹת.
It is a mitzvah to pursue shitufei mevo'os just as one pursues eruv chatzeiros.
A bracha is recited when the shituf is established, "al mitzvas eruv." The same section also makes clear that the bracha and declaration are not what create the technical validity of the arrangement. If they were omitted, the shituf is not thereby invalidated. The halachic act and its requirements retain their own rules.
What the mitzvah language means
The Alter Rebbe calls arranging eruv chatzeiros a mitzvah, gives its purpose as preventing prohibited carrying, and extends the same mitzvah language to shitufei mevo'os.
At the same time, the text identifies what is being pursued. It is eruv chatzeiros and shitufei mevo'os, the communal joining established by Chazal. The source does not say that the existence of a proposed wire proves that a city is enclosed, nor does it say that every act of carrying within an eruv is itself a mitzvah.
This also explains why the word eruv can create confusion in ordinary conversation. Today, people often call the entire city boundary "the eruv." In the halachic chapters themselves, the physical enclosure and the communal food are distinct elements. Both may be necessary for practical carrying, but they do not answer the same question.
The detailed laws of the food, zikui, bracha, and communal joining are treated in Eruv Chatzeiros, Shitufei Mevo'os, and Shared Food. The deeper treatment of the mitzvah language itself appears in Eruv Chatzeiros and the Mitzvah of Joining a Community.
Validity comes before permission to carry
The citywide halachos preserve this order as well. In Orach Chaim 392:1, the Alter Rebbe first describes the lanes of a town as having been modified as required by halacha through the appropriate physical measures. Only after that does he say that the residents may all join in one shituf and carry throughout the town.
The communal joining therefore does not convert an area that could not otherwise be enclosed into a permitted domain. Before the eruv chatzeiros or shituf can do its work, the underlying questions of domain and enclosure have to be answered.
The Rebbe stated this distinction particularly clearly in his 1964 letter to Rabbi Eliyohu Jung. The letter begins its substantive discussion:
Firstly, as a matter of principle, where according to the Din an Eiruv can be instituted, it should be so instituted (Shulchan Aruch Orach Chaim ch. 395).
The condition in that sentence is essential. Later in the same letter the Rebbe wrote:
The opinion expressed in the first conditional paragraph, namely that where an Eiruv is permissible according to the Din it should be instituted, is based, of course, on the general principle indicated above. However, it expresses no opinion regarding any particular place, such as Manhattan in this case, as to whether or not it indeed qualifies for an Eiruv according to the Din.
He continued that the question had to be decided by Rabbinical authorities who had thoroughly investigated the relevant details in accordance with Hilchos Eruvin.
The general principle and the local decision are therefore not opposites. The mitzvah applies to a halachically valid eruv. Determining whether the proposed eruv is valid is the prior halachic question.
A valid eruv can prevent an issur without making every city perimeter valid
This distinction also clarifies the purpose of establishing an eruv. When the conditions are met, an eruv can prevent people from carrying in violation of the halacha and can permit ordinary carrying within the area that halacha allows. That is a real benefit and, in the sources above, a mitzvah.
But the benefit cannot be used as proof that the conditions have been met. A desire to prevent hotza'ah does not determine whether a street is a reshus harabim. The mitzvah of shitufei mevo'os does not establish whether a tzuras hapesach is sufficient at a particular opening. A bracha over the communal food does not repair a gap in the boundary. Weekly inspection does not retroactively answer whether the original route was halachically adequate.
The same is true in the other direction. The fact that a proposed city enclosure is invalid or may not be relied upon does not diminish the mitzvah of a valid eruv chatzeiros or shituf. It means that the mitzvah must be performed within its halachic requirements.
The physical requirements are explained under Physical Enclosures and Tzuras Hapesach in a City Eruv, and the threshold question of the streets is treated under Reshus Harabim in a Modern City.
Crown Heights
The general mitzvah of eruv does not itself determine the practical halacha in Crown Heights. That requires the local questions to be decided: the status of the streets, the claimed physical boundary, the communal arrangements, continuing supervision, and the authority under which the community is being asked to rely on the perimeter.
The Crown Heights Rabbonim have ruled that carrying in the neighborhood is prohibited and that the promoted perimeter is not an eruv on which the community may rely. That local psak does not rest on denying the mitzvah of a valid eruv. It rests on the prior question that the mitzvah itself presupposes: whether there is a halachically valid eruv here.
The rulings themselves are presented under Rabbinic Rulings on Carrying in Crown Heights.