4.3.2 Singleton Sets

Let $X$ be a set.

The singleton set containing $X$ is the set $\left\{ X\right\} $ defined by

\[ \left\{ X\right\} \mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\left\{ X,X\right\} , \]

where $\left\{ X,X\right\} $ is the pairing of $X$ with itself of Definition 4.3.3.1.1.


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