[atomicnature]

Well, life is not mathematics, so you don't "prove" things in these life matters; one simply accumulates more corroboration that particular type of mental orientation is profitable (or otherwise).

I can cite at least 20+ extremely accomplished individuals (widely acknowledged to be so) in dealing with complex fields and matters touting the virtue/power of struggling with a problem. The struggle opens up pathsways to the human being.

I'd end this with one important sentence: "There is no royal road to geometry". I believe the same mentality extends to many other aspects of life too.

PS: Even at a personal level, the greatest pleasures in life for me are some sorts of "self-mastery" - taming the beast - that is the human mechanism. And these "internal results" are obtained through great price, time and effort.