KnowraAxiom of dependent choiceLinked fromLinked fromThe 10 pages that link to Axiom of dependent choice, each with the reason it gives.All 10Broader topic 1Related 2Compared with 7Ernst ZermeloCompared with: It is weaker than full choice and supports many ordinary arguments without Zermelo’s full principle.Zorn's lemmaCompared with: It is weaker than full choice and does not generally yield Zorn's lemma.Axiom of countable choiceCompared with: It supports dependent recursive selections and is stronger than countable choice in standard set theory.Boolean prime ideal theoremCompared with: It illustrates a weaker choice principle that does not capture the theorem's full strength.Axiom of global choiceCompared with: It supports many constructions without asserting one selector for every nonempty set.Rasiowa–Sikorski lemmaCompared with: The lemma’s sequence construction illustrates dependent choice, while its countability and order assumptions give a specific conclusion.Teichmüller–Tukey lemmaCompared with: It is weaker than full choice and does not supply the lemma’s general maximality strength.