looks like you CAN downgrade iOS 7 to 6

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http://androidforums.com – i know this is an Android forum but this is the Lounge, and there are iOS users here. despite people saying you can NEVER downgrade iOS 7 to 6, they are WRONG. The key is to remove iTunes 11 on your desktop or laptop computer, and reinstall iTunes 10.7 (from oldapps.com or some old software archive). then put your iPad/iPhone/iPod touch into DFU mode or recovery mode. then connect it to iTunes via the cable. iTunes will report an iDevice in recovery/DFU mode and attempt to download the 'most up-to-date software'. since you're using iTunes 10 now, that most up-to-date ends up being iOS 6.1.3 (General)