So, Oracle (or whoever else holds copyright) could point to the public version control history of LibreOffice and show that it was clearly derived from the LGPL'd OpenOffice.org code they released. Therefore, they must be relying on the LGPL to distribute modified versions of that code. If the defendant is not complying with the LGPL, then that could be enough cause for the law suit.
The "What colour are your bits?" essay that was linked earlier is an interesting read and might give some perspective for this kind of concern.