Comment by internet_points

In most of modern life we trust to experts to some degree. I couldn't off the top of my head explain DH key exchange, I don't know if I'll ever understand elliptic curves, but I see that most of the cryptographic community understands them as good methods for many problems and if lots of experts who otherwise argue about anything will agree "what yes, of course DH is good for key exchange but that's beside the point and djb is still wrong about florbnitz keys" then it's likely DH is indeed good for key exchange.

If everyone had to understand every detail to trust in tech we would not have nuclear plants or coast around on huge flammable piles of charged lithium