## Equivalents of the Axiom of Choice

The Orchard of Green Gables ("The Orchard", for short) is, by definition, the set of all statements inferentially equivalent to the Axiom of Choice over Zermelo-Fraenkel set theory.

This page lists a few members of The Orchard, by way of hyperlinks to webpages that discuss them.

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The Axiom of Choice

The Well-Ordering Theorem

Zorn's Lemma

The Hausdorff Maximal Principle

Tychonoff's Theorem

Tukey's Lemma

Antichain Principle

(end of page)

This page lists a few members of The Orchard, by way of hyperlinks to webpages that discuss them.

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The Axiom of Choice

The Well-Ordering Theorem

Zorn's Lemma

The Hausdorff Maximal Principle

Tychonoff's Theorem

Tukey's Lemma

Antichain Principle

(end of page)