As far as I've read, it's decidedly unclear that general physical activity as an intervention is proven for much of anything; as Dr. Ashley mentions, most of the data we have is from observational studies. I think it's fair to say that for the vast majority of people, a moderate amount of physical activity is almost certainly better overall than being a total couch potato. But it's also not as simple as "active good, sedentary bad". In particular, I've seen a few studies suggesting that physical activity at one's job might not have the same disease-prevention benefits as physical activity for leisure (e.g. [1]), which casts some doubt on the idea that the benefits are primarily coming from physical activity per se.