Let (B, +, , , 0, 1) be a Boolean algebra that is partially ordered by .

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Let (B, +, ∙, ¯, 0, 1) be a Boolean algebra that is partially ordered by ≤.
(a) If w ∈ B and w ≤ 0, prove that w = 0.
(b) If x ∈ B and 1 ≤ x, prove that x = 1.
(c) If y, z ∈ B with y ≤ z and y ≤ , prove that y = 0.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:05 AM

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Let (B, +, , , 0, 1) be a Boolean algebra that is partially ordered by .

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Discrete and Combinatorial Mathematics An Applied Introduction

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