Currently we have about 200 years of uranium available for economical extraction. But if we tried to replace all coal with nuclear, we would be out within a few decades. Then we'd need to move to other non-renewable materials (thorium?) or start mining astroids.
http://www.scientificamerican.com/article/how-long-will-glob...
And the mining of uranium looks awfully similar to the mining of coal. (Of course you need far fewer uranium mines for the same amount of energy.)
https://en.wikipedia.org/wiki/Uranium_mining#/media/File:Ara...