Definition:Sufficiently Large

Definition
The phrase sufficiently large is shorthand for:


 * $$\exists a \in \R: \forall x \in \R: x \ge a: P \left({x}\right)$$

"There exists a real number $$a$$ such that for every (real) number not less than $$a$$, the property $$P$$ holds."

It is not necessarily the case, for a given property $$P$$ about which such a statement is made, that the value of $$a$$ is actually known, just that such a value exists.