A valid eruv does not work through one single device. Carrying becomes permitted only when the halachic requirements that apply to the particular place and its residents have been satisfied. The physical status of the area and the communal joining of its residents are related, but they are not the same thing.

This is already clear in the opening halachos of the Rambam. He first describes a courtyard, a properly enclosed mavoi, and a properly enclosed city as a reshus hayachid under Torah law. He then says that Chazal nevertheless prohibited the residents from carrying between their separate dwellings and the common area until they make the required eruv.

The two layers therefore run in this order: first, the area must have the halachic status and enclosure that allow carrying to be permitted there. Then, where Chazal required eruv chatzeiros or shitufei mevo'os because the area contains separate residents, that communal joining must also be made.

The enclosure and the communal eruv solve different problems

The Alter Rebbe opens siman 366 with a courtyard that is already a “complete reshus hayachid.” Even there, carrying from the homes to the courtyard remains prohibited by rabbinic law until the residents make an eruv chatzeiros.

That itself shows why a valid city eruv cannot be reduced either to a wire or to a loaf of bread. A valid physical enclosure does not, by itself, remove every rabbinic restriction created by separate residences. Conversely, the shared food does not supply missing mechitzos or alter the Torah-level status of a street.

The Alter Rebbe makes the separation visible elsewhere in the same siman. He discusses the communal eruv in a shul in places whose mavo'os already have the halachic correction required for them, and treats places lacking that correction differently. The food arrangement presupposes the physical halachic framework in which it can operate.

What the eruv chatzeiros actually permits

When the residents of a courtyard are validly joined, the Alter Rebbe says they are regarded as though they all dwell in the home where the eruv is placed. The other homes become, for these laws, like rooms within one shared dwelling. The restriction that had separated the households is therefore removed.

His declaration over the eruv describes the permission in concrete terms:

בדין עירובא יהא שרא לנא לאפוקי ולעיולי מן הבתים לחצר ומן החצר לבתים ומבית לבית.

Through this eruv it shall be permitted for us to take out and bring in from the homes to the courtyard, from the courtyard to the homes, and from one home to another.

For shitufei mevo'os, siman 395 gives the parallel formula:

בזה השיתוף יהא מותר לכל בני המבוי להוציא ולהכניס מחצרות למבוי.

Through this shituf it shall be permitted to all the residents of the mavoi to take out and bring in from the courtyards to the mavoi.

These formulas are useful because they show exactly what the food-based enactment is accomplishing. It joins residents and permits transfers that Chazal had prohibited because of their separate dwellings.

The food cannot repair an invalid boundary

Suppose a group of residents owns the required communal bread in the proper manner. That can satisfy the requirement of eruv chatzeiros or shitufei mevo'os. It cannot, however, make an area into a reshus hayachid if the area does not otherwise have the halachic enclosure or status necessary for carrying.

The reverse is also true. Even an area whose physical boundaries are valid can still require eruv chatzeiros, shitufei mevo'os, or other communal halachic arrangements before carrying between the residents' domains is permitted.

In a city, the word eruv is commonly used for the complete system. That system includes the status of the streets, the validity of the perimeter, the communal food and its ownership, sechiras reshus where required, and continuing validity. A conclusion about one component does not automatically decide the others.

The joining must be in force when Shabbos begins

The communal eruv is also subject to its own rules of validity. The Rambam rules that the eruv or shituf must be present and available to be eaten through bein hashmashos. If it was lost, burned, or otherwise invalidated before then, it does not function as the eruv for that Shabbos.

The Alter Rebbe likewise explains that the acquisition of the eruv takes effect at bein hashmashos. The permission to carry is therefore not produced by a historical fact that someone once arranged communal food. The required arrangement must be halachically in place for the Shabbos in question.

The same principle applies more broadly to an eruv system. The permission is the result of the relevant halachic requirements being satisfied, not of a sign, map, announcement, or prior reputation.

“Within a valid eruv” means all applicable requirements are satisfied

It is therefore precise to speak of carrying “within a valid eruv.” The phrase does not mean that every neighborhood described as having an eruv may automatically be treated as permitted. It means that where the halachic requirements applicable to that place have been validly fulfilled, the resulting permission governs the transfers included within them.

The detailed laws of tzuras hapesach, mechitzos, reshus harabim, sechiras reshus, and city inspection each require their own treatment. What eruv chatzeiros teaches at the outset is the underlying structure: carrying is permitted through a combination of valid halachic conditions, and the communal food is one distinct part of that combination.