Literally any proof is on the level of FizzBuzz. There is a wide gap between the level of competence it takes to prove anything, vs. not understanding how proof

Literally any proof is on the level of FizzBuzz. There is a wide gap between the level of competence it takes to prove anything, vs. not understanding how proofs work-once you know any higher-level Math, you know proofs. That's even a slightly higher level of competence than FizzBuzz-anyone can do FizzBuzz if they know even a modicum of programming. You certainly don't have to be a programmer to do FizzBuzz, and you don't have to be a Mathematician to prove that sqrt(2) is irrational.