Singleton set: Difference between revisions

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imported>Richard Pinch
(new entry, just a definition really)
 
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In [[set theory]], a '''singleton''' is a [[set (mathematics)|set]] with exactly one element:
In [[set theory]], a '''singleton''' is a [[set (mathematics)|set]] with exactly one element:


:<math>\{ x \} . \,</math>
:<math>\{ a \} . \,</math>
 
We have
 
:<math>x \in \{ a \} \Leftrightarrow x = a . \,</math>

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In set theory, a singleton is a set with exactly one element:

We have