# Difference between revisions of "König's lemma"

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## Latest revision as of 04:03, 22 August 2010

**König's lemma** (also spelled **Koenig's lemma** to avoid the trema) is a result in Zermelo-Fraenkel Set Theory and Graph Theory. It states that an infinite tree with finitely many branching degrees must have an infinite branch. Set theorists consider this to be an important transfinite generalization of the Pigeonhole Principle.