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arXiv · 1809.05230

On Generalized Ordered Sets: A constructive development

Jean S. Joseph
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Abstract

We propose a notion of a generalized order, which can be used for the notion of a strict partial order. We introduce a weak order to replace the usual weak order defined from a strict partial order. In a constructive setting, that usual weak order causes problems on the real numbers because their strict order cannot be proved to be trichotomous.

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Jean S. Joseph. 2018-09-14. On Generalized Ordered Sets: A constructive development. https://arxiv.org/abs/1809.05230

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