Beitza 5:5-6

Beitzah 5:5

A burning coal may go wherever its owner can go but a flame can go anywhere. A burning coal belonging to the Temple is subject to the laws of misappropriation; a flame belonging to the Temple may not be used but if one did use it, he is not subject to the laws of misappropriation. If a person takes a burning coal into the public domain on Shabbos, he is liable but if he takes a flame, he is exempt. Water from a privately-owned well may only be brought where the well’s owner can go, while water from a public well can go wherever the residents of that city can go. Regarding the wells dug by those making pilgrimage from Babylonia, the water can go wherever the one who drew it is permitted to go.

Beitzah 5:6

If a person had produce in another city and the residents of that city made an eiruv so that they could bring him some, they may not do so. If he made the eiruv, then his produce can go wherever he may go.