IPhone 5s auto-lock and screen dimming?

I just upgraded to the iPhone 5s because my old flip phone broke. I'm wondering if I can turn off auto-lock AND still have the phone screen dim after a minute or two. So far, all I have figured out (I think) is that if the auto-lock is set to never, the screen doesn't dim.

Help or suggestions will be greatly appreciated.

You can't do that because it's already set on not to lock.

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