Will an unlocked iPhone 5 work in Australia? It's from the Uk?

I'm buying an iPhone 5 for a great price. Its cheap, and because it's unlocked will it work in Australia? It's a Uk iPhone 5, but because it's unlocked will it work in Australia on Telstra, virgin etc etc… Very confused here:/

Why not just buy an unlocked one from Australia?
http://store.apple.com/...ly/iphone5

Yes it will work on any GSM carrier in the world which is what Australian carriers use.

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