= Equivalents of the Axiom of Choice
{wiki=Equivalents_of_the_Axiom_of_Choice}
The Axiom of Choice (AC) is a significant principle in set theory and has several equivalent formulations and related principles that are considered in the realm of mathematics. Here are some of the prominent equivalents and related statements: 1. **Zorn's Lemma**: This states that if a partially ordered set has the property that every chain (totally ordered subset) has an upper bound, then the entire set has at least one maximal element.
Back to article page
