Establish these logical equivalences, where x does not occur as a free variable in A. Assume that

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Establish these logical equivalences, where x does not occur as a free variable in A. Assume that the domain is nonempty.
a) (∀xP(x)) ∧ A ≡ ∀x(P(x) ∧ A)
b) (∃xP(x)) ∧ A ≡ ∃x(P(x) ∧ A)

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:12 PM

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Establish these logical equivalences, where x does not occur as a free variable in A. Assume that

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We can establish these equivalences by arguing that one side is true if and only if the othe...View the full answer

Discrete Mathematics and Its Applications

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