By the reality on the ground...that neither SCOTUS or the Congress has taken action to throw Obama out of presidency. Those are the only institutions who have the power to do so.
Only Congress has the power to oust Obama. Majority of the House. Two thirds of the Senate. Not going to happen.
However, SCOTUS might be relevant as to whether he can run again. But, as I've explained up thread, I strongly doubt they'll act.