I assume you're being facetious, this just isn't true. Brushing and flossing won't re-align teeth, correct major problems for which you have a genetic disposition, address factors beyond your control like the chemistry in your mouth, extra or absent teeth, dry mouth or physiological factors like how you sleep or the impact of respiratory considerations.
Sure, brushing and flossing helps, but to say it eliminates dental professionals is absurd. That's like saying a healthy lifestyle means you'll never need a doctor or visit a hospital.
Do you have scientific evidence (or "proof") of this claim, assuming you're referring strictly to dental caries, and perhaps receding gums?
I don't believe it, whatsoever. In fact I challenged some friends (a dentist, an orthopedic surgeon, and a biochemist -- all researchers affiliated with prestigious institutions) to provide that scientific evidence, and after a year they all concluded that standard dental advice is simply wishful thinking. Since it is the recommendation of dental associations, a practicing dentist must give this advice, but that doesn't make it true.