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.
Publié le : 2006-04-14
Classification:
weak Koenig's lemma,
Brouwer's fan theorem,
constructive mathematics,
03F65,
03B30
@article{1153858649,
author = {Ishihara, Hajime},
title = {Weak K\"onig's Lemma Implies Brouwer's Fan Theorem: A Direct Proof},
journal = {Notre Dame J. Formal Logic},
volume = {47},
number = {1},
year = {2006},
pages = { 249-252},
language = {en},
url = {http://dml.mathdoc.fr/item/1153858649}
}
Ishihara, Hajime. Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof. Notre Dame J. Formal Logic, Tome 47 (2006) no. 1, pp. 249-252. http://gdmltest.u-ga.fr/item/1153858649/