I don't think it's an exception to the Agreement Theorem. All you have to do to to communicate the evidence is give your friend root access to your brain so he can verify you aren't lying. Of course Omega could have just rigged your brain so you think you survived a million QTI tests, but that possibility shouldn't worry your friend any more than it worries you.

also, BTW one of my Dad's ham radio buddies won the lottery recently.