∼(∀x,P(x))

propositional function "x ≥ x^2

is true or false

Could someone tell me if I am correct, if not please explain:

∼(∀x,P(x)) = true

Basically I just prove that (∀x,P(x)) = true and then use the not operator to convert my answer to false.

Is this a correct way to prove this?