Apple is suing Motorola for infringing three iPhone patents for touchscreen software and other display technologies.
Apple's suit - filed in the Western District Court of Wisconsin on Friday - claimed Motorola's activities are causing irreparable harm.
Motorola said it had not yet reviewed Apple's filing, but that it intends to defend the case, as well as continue to pursue it own case against Apple, according to Reuters.
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Earlier this month, Motorola sued Apple in Delaware, asking a judge to declare it is not infringing Apple software patents.