Razing a city with a wonder?

Just curious if you capture and raise a (obviously non-capital) city with a wonder in it, ega city with the Great Lighthouse, once it's razed will the wonder go back to availability? Once the city is gone, will the option to build the great lighthouse reappear in one of your coastal cites? Or will the wonder permanently be gone from that game, never to appear again?

Because I don't think I've ever encountered this before, is the option to raze a city with a wonder in it even available?