# what does the inverse membership symbol means?

I know that the symbol $$\in$$ stands for membership, but what does the symbol $$\ni$$ stand for?

Because I know that in the set membership, one symbol stands for subset and the other ones for superset, but I cannot find the meaning of the other symbol

Thanks

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It's just set membership written the other way round: $x \in X$ and $X \ni x$ mean the same thing. –  Johannes Kloos Jan 29 '13 at 14:00
Similar looking symbols are also used by some authors for "such that" - see this question. –  Math Gems Jan 29 '13 at 14:36

## 2 Answers

Sometimes you want to write the set before the element. $A \ni x$ means exactly the same as $x \in A$.

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Because a < b means the same thing as b > a and A \subset B means the same thing as B \supset A, one should not use the mirror image of \in to mean "such that". It is a bad, confusing notation.

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