KnowraWell-ordering theoremLinked fromLinked fromThe 18 pages that link to Well-ordering theorem, each with the reason it gives.All 18Broader topic 1Related 13Compared with 4Axiom of countable choiceCompared with: Unlike countable choice, this theorem is equivalent to the full axiom of choice.Boolean prime ideal theoremCompared with: Unlike the prime ideal theorem, this statement is equivalent to the full axiom of choice.Aleph numberCompared with: With choice, every set's size is represented by an aleph; without it, some sizes may not be.Krull's theoremCompared with: It is equivalent to Zorn's lemma in the usual foundations, though it expresses choice differently.