Will play also be obsolete? Because work can be play, and play can be work.
Work often has a negative connotation in today's world, but it can also be positive, fun, and rewarding.
The economic whip (ie. the incentive of working to survive) might become obsolete, but that doesn't mean that people will stop wanting to work for fun, fulfillment, or to make original contributions.
It's unlikely many people would willingly choose to be garbagemen and toilet cleaners, and we'll probably all breathe a sigh of relief when those jobs are finally automated, but will we stop wanting to make art or music when AI can make it "just as good"?
Even in more practical fields than art or music, it's more likely that we'll see AI-human collaborations rather than AI doing everything by itself without human input.
What is human is constantly in flux anyway. Even if we consider just technology's effect on the human, there are humans now with all sorts of prosthesis that make them "more than human" in some ways, and this trend itself will likely continue, with things like more and more advanced neural interfaces, memory upgrades, sensory enhancement, etc.
The future of humanity will likely be as some sort of cyborg.