No... that would only show that SOMEONE is sharing the files. To prove that this particular plaintiff is sharing the files, they would have needed to do this before they seized her equipment or whatever, and show that some of the files they received through P2P came from her IP address. Retroactively, the best they can probably do is subpoena the ISP logs of traffic and look for outbound P2P connections, but even that won't prove that the outbound files were copyrighted music-- they could have been copies of her dissertation or something.
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