Usually means: Maximal chains imply maximal elements.
Definitions Related words Mentions
We found 8 dictionaries that define the word Zorn's lemma:

General (5 matching dictionaries)
  1. Zorn's lemma: Merriam-Webster
  2. Zorn's lemma: Wiktionary
  3. Zorn's lemma: Infoplease Dictionary
  4. zorn's lemma, zorns lemma: Dictionary.com
  5. Zorn's Lemma, Zorns Lemma (film), Zorn's lemma: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Zorn's lemma, Zorns lemma: Encyclopedia

Science (2 matching dictionaries)
  1. Zorn's Lemma: Eric Weisstein's World of Mathematics
  2. Zorn's lemma: PlanetMath Encyclopedia

Definitions from Wiktionary (Zorn's lemma)

noun:  (set theory) A proposition of set theory stating that every partially ordered set, in which every chain (i.e. totally ordered subset) has an upper bound, contains at least one maximal element.


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