# Sufficiently large

(Redirected from Large enough)

In mathematics, the phrase sufficiently large is used in such contexts as:

$P$ is true for sufficiently large $x$

which is actually shorthand for:

$\exists~ a\in\mathbb{R}$ such that $P$ is true $\forall~ x\ge a$.

Therefore $a$ exists, and a particular value for it may not be known. The phrase "sufficiently large" should not be confused with the phrases "arbitrarily large" or "infinitely large".