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I bought my MBA Mid2011 in the US. Now living in the UK and looking to replace the battery. Is there a difference between the battery on the US Ifixit store (code IF188-113-2) and the European store (code EU188113-2)? Obviously prefer to purchase from European store because shipping is much less but want to make sure a European battery will be compatible with US MBA? Not sure if there will be a difference. Thanks in advance

No difference whatsoever, it’s just a matter of different reference codes.