The operations and have the following consistency properties. For every x; y in a lattice

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The operations ∨ and ∧ have the following consistency properties. For every x; y in a lattice (X; ≿),
1. x ∨ y ≿ x ≿ x ∧ y
2. x ≿ y =⇒ x ∨ y = x and x ∧ y = y
3. x ∨ x ∧ y = x = x ∧(x ∨ y)

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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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The operations and have the following consistency properties. For every x; y in a lattice

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1 is an upper bound for that is x y and x y Similarly is a lower bound for 2 Assume ...View the full answer

Foundations of Mathematical Economics

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