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.