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I am searching for a proof of the following fact:

If an infinite product $\prod\limits_{n=1}^{\infty} (1+a_n)$ of complex numbers is absolutely convergent, then its factors can be reordered without affecting the value of the product.

Thanks for the help!

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  • $\begingroup$ I think that it is worth mentioning that this is closely related to your previous question. $\endgroup$ – Martin Sleziak Mar 8 '15 at 7:36

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