I've seen a few different symbols for "such that" in my studies, including these four: $$ \ni \quad\quad \:\cdot\ni\cdot\: \quad\quad \colon \quad\quad \mid $$ I'm aware that either of the last two are acceptable in set notations, e.g. $\left\{x:x\in\mathbb{Z}\right\}$ or $\left\{x\left.\right|x\in\mathbb{Z}\right\}$, but I am not sure about the former two, i.e. "$\ni$" vs. "$\cdot\ni\cdot$". My discrete math textbook, Discrete Mathematics with Appplications by Epp, says the latter is "such that" whereas here on Mathematics SE I've only seen the former, and even then only rarely.
When is it appropriate to use these two "such that" symbols and when isn't it?
$)\!\!\!\!-$
(warning - different amounts of negative space required in different situations!) $\endgroup$