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Remember the little kid in Will Smith's "Just the Two of Us" video? Well now he's a 20-year-old man!

The "Fresh Prince of Bel-Air" star was spotted at Liv nightclub in Miami last night, where his son Willard Christopher Smith III (AKA Trey) was photographed DJing .. and boy has he grown up.

Trey -- who turned six the year he was in his dad's music video -- is Will's son with his first wife, Sheree Zampino.

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Will's current wife and Trey's stepmom, Jada, was also in the building for the bash and looked just as proud as the young man as his father did.

Considering how much we see Jaden and Willow, it's surprising how under-the-radar Trey has been through the years.

See if you can match more celeb kids with their famous parents in the gallery above!

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