The weak König lemma and uniform continuity

Journal of Symbolic Logic 73 (3):933-939 (2008)

Abstract
We prove constructively that the weak König lemma and quantifier-free number-number choice imply that every pointwise continuous function from Cantor space into Baire space has a modulus of uniform continuity
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DOI 10.2178/jsl/1230396756
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Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof.Hajime Ishihara - 2006 - Notre Dame Journal of Formal Logic 47 (2):249-252.

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