You have won the battle, but try not to rub it in -- don't be pompous about things.

In Detail
Egos are very delicate things, and you might have to walk on tiptoes around one person's ego today until they can get a grip on how things have changed. Plain and simple, you have won the battle and they are having trouble getting used to it. Try not to rub it in -- don't be pompous about things and don't try to make them feel better about themselves with compliments that you might not mean. Just leave them alone to get over it on their own. They will, eventually.