I seem to remember that the Alter Rebbe writes that if a Yid does a Melacha and has a particular purpose in mind and another Yid wants to have Hanoah from the Melacha in a different manner that it is okay? A hypothetical example: If someone comes into my kitchen and puts on the stove to warm up food, can I use the fire on the stove to warm myself up if I am cold? 

  There is no such Halacha in Alter Rebbe Shulchan Aruch. You might be confusing this with something similar; There is a Halacha that one may ask a non-Jew to…

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