Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof

Notre Dame Journal of Formal Logic 47 (2):249-252 (2006)
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Abstract

Classically, weak König's lemma and Brouwer's fan theorem for detachable bars are equivalent. We give a direct constructive proof that the former implies the latter

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References found in this work

Formal systems for some branches of intuitionistic analysis.G. Kreisel - 1970 - Annals of Mathematical Logic 1 (3):229.
Note on the Fan theorem.A. S. Troelstra - 1974 - Journal of Symbolic Logic 39 (3):584-596.
An omniscience principle, the König Lemma and the Hahn-Banach theorem.Hajime Ishihara - 1990 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 36 (3):237-240.

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