The set builder form of ( P-Q)
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{\displaystyle \{n\in \mathbb {Z} \mid (\exists k\in \mathbb {Z} )[n=2k]\}}
The set of all even integers,
expressed in set-builder notation.
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.[1]
Defining sets by properties is also known as set comprehension, set abstraction or as defining a set's intension.
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