# Zorn's lemma

[zawrnz]

- a theorem of set theory that if every totally ordered subset of a nonempty partially ordered set has an upper bound, then there is an element in the set such that the set contains no element greater than the specified given element.

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## Origin of Zorn's lemma^{}

1945–50; after Max August Zorn (born 1906), German mathematician

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018