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A nonstandard proof for Szpilrajn's theorem
Published 8 Mar 2016 in math.LO | (1603.02469v1)
Abstract: Recall that Szpilrajn (1930) ([4], [5]) states that on a given set, any partial order can be extended to a total order on the same set. In this work we give, in the context of the IST theory ([2],[3],[6]), a more constructive proof for this theorem. In addition, we benefit of the tools used to give some other results.
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