Subsection 2.3.1 (002Y): The Empty Set

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The empty set is the set $\emptyset $ defined by

\[ \emptyset \mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft\{ x\in X\ \middle |\ x\neq x\webright\} , \]

where $A$ is the set in the set existence axiom, of .

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