Let X be a partially ordered set which has a best element x*. If every nonempty subset

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Let X be a partially ordered set which has a best element x*. If every nonempty subset S of a X has a greatest lower bound, then X is a complete lattice.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:32 AM

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Let X be a partially ordered set which has a best element x*. If every nonempty subset

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Let be a subset of and let for every be the set of upper bounds of Then By assumption has a gre...View the full answer

Foundations of Mathematical Economics

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