This article is the first in a series of two Mizar articles constituting a formal proof of the Gödel Completeness theorem [17] for uncountably large languages. We follow the proof given in [18]. The present article contains the techniques required to expand formal languages. We prove that consistent or satisfiable theories retain these properties under changes to the language they are formulated in.
@article{bwmeta1.element.doi-10_2478_v10037-012-0022-0,
author = {Julian J. Schl\"oder and Peter Koepke},
title = {Transition of Consistency and Satisfiability under Language Extensions},
journal = {Formalized Mathematics},
volume = {20},
year = {2012},
pages = {193-197},
zbl = {1288.03034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0022-0}
}
Julian J. Schlöder; Peter Koepke. Transition of Consistency and Satisfiability under Language Extensions. Formalized Mathematics, Tome 20 (2012) pp. 193-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0022-0/
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