Two words: Fox and Two. Followed perhaps by three words: Guns, Guns, Guns. Meanwhile you'll probably hear Bitching Betty screaming away, "Chaff, flare, chaff, flare, chaff, flare," as you frantically eject as much chaff and flare as possible in an effort to confuse the enemy's short range dogfighting radar modes and IR missiles respectively. The main idea would be to get the enemy on the defensive first with one (or two) IR missiles shots from as long a range as possible. You would then move in behind your stealth adversary denying him even a high off-boresight missile shot. If you have another IR missile left at this point, you maneuver to get an optimal shot with that. Maybe you just look and shoot if you have that capability (F-22 currently doesn't, but I'd expect it to have AIM-9X + JHMCS by the time there's another operational stealth fighter). If you've expended two IR missiles already getting the other guy defensive, you aggressively move in to optimum cannon range and rake his aircraft from stem to stern with the 20 mike mike. Remember, the M61A2 is very lethal on the F-22 since, unlike the M61A1, it has a higher rate of fire and a quicker spool up time. This increases the likelihood of a brief snap shot putting your adversary out of the fight for good and even down for the count. If anything, you want to quickly damage your stealthy opponent with a brief snap shot and then move in for a tracking shot on your wounded prey. Lastly, extending out of this situation should always be on a pilot's mind, although the most aggressive and successful pilots generally don't even think about departing a fight if they have ammunition and fuel to spare.