How do you prove a universal statement forallxP(x)\\forall x P(x)forallxP(x) is false?
Prove P(x)P(x)P(x) is false for all xxx
Find a single counter-example where P(x)P(x)P(x) is false
Prove P(x)P(x)P(x) is true for some xxx
It cannot be proven false