This article is the second in a series of two Mizar articles constituting a formal proof of the Gödel Completeness theorem [15] for uncountably large languages. We follow the proof given in [16]. The present article contains the techniques required to expand a theory such that the expanded theory contains witnesses and is negation faithful. Then the completeness theorem follows immediately.
@article{bwmeta1.element.doi-10_2478_v10037-012-0023-z,
author = {Julian J. Schl\"oder and Peter Koepke},
title = {The G\"odel Completeness Theorem for Uncountable Languages},
journal = {Formalized Mathematics},
volume = {20},
year = {2012},
pages = {199-203},
zbl = {1288.03035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0023-z}
}
Julian J. Schlöder; Peter Koepke. The Gödel Completeness Theorem for Uncountable Languages. Formalized Mathematics, Tome 20 (2012) pp. 199-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0023-z/
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