The Axiom of Choice is an axiom of set theory, and states:

This is slightly controversial, because it is non-constructive. It asserts the existence of the set C without telling you how to construct it.

The Axiom of Choice is equivalent to Zorn's Lemma and the Well-Ordering Principle.

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PartiallyOrderedSet
UncountableSet 		(none) Euclid
EuclideanGeometry
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Local neighbourhood - D3

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