Actually, you don't need to do that proof. The construction plans need to be signed off on by certified (government-accredited but still fully private practice, not even necessarily a different company) engineer. But the government doesn't look at those plans and check your work.

What happens instead is that you need to be inspected by the government before it's allowed to be occupied or put into use. And if it ever should happen that it does collapse, then the structural engineer who signs off on the plans faces criminal liability particularly in extreme cases (Kansas City Hyatt is the most memorable experience).