Prove each of the following assertions:1. a is valid if and only if True=a.2. For any a, False=a.3. a=B if and only if the sentence (a → B) is valid.4. a = B if and only if the sentence (a + B) is valid.5. a=B if and only if the sentence (a A -B) is unsatisfiable.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Prove each of the following assertions: 1. a is valid if and only if Truea.