[[Set theory MOC]]
# Zermelo-Fraenkel set theory with Choice

**Zermelo Fraenkel set thoery with Choice** or $\mathrm{ZFC}$ is a [[Material set theory]] and the [[Axiomatic set theory]] most commonly used as a foundation for mathematics.
It strengthens classical [[ZF#Axioms]] with #m/def/set/zfc 

10. [[Axiom of Choice]]

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