The method of "proving" qualification is not prescribed. I agree completely that the primary blame for this fiasco lies with Congress, all 535 of them. Not one challenge after the electoral ballots were counted. Not a single one, and all it takes for a challenge is two Congresspeople, one Senator, and one Rep.
The federal government is completely out of control, and this is not the first case of utter dereliction of duty. See too "coin money and regulate the value thereof." These perfumed princes get all the perks, and none of the accountability. And at the same time, they are stripping power and wealth from the people.
Term Limits Revolution
(An Act of Self Defense by Erne Lewis)
http://ernelewis.com/An-Act-of-Self-Defense.php