A Venn diagram illustrating the intersection of two sets
A Venn diagram illustrating the intersection of two sets

In many formal set theories, such as Zermelo–Fraenkel set theory, set builder notation is not part of the formal syntax of the theory.

- Set-builder notation

Subsets are commonly constructed using set builder notation.

- Zermelo–Fraenkel set theory
A Venn diagram illustrating the intersection of two sets

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