The nearsighted man

I heard this problem from a teacher a couple weeks ago -

A nearsighted man can see things only if they’re 3 feet or closer.  If he stands 2 feet in front of a mirror, can he see his reflection?

He said he consistently finds people split on this, and hasn’t found a compelling proof one way or the other.  I humbly offer up the following “proof without words” –  but what does it show?