1. Show the validity of the logical equivalences. Derive them step by step using known logical rules: a) (p^q) →r = p→ (¬q vr) b) (pr)^(q→r) = (pvq) →r
1. Show the validity of the logical equivalences. Derive them step by step using known logical rules: a) (p^q) →r = p→ (¬q vr) b) (pr)^(q→r) = (pvq) →r
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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Transcribed Image Text:1. Show the validity of the logical equivalences. Derive them step by step using
known logical rules:
a) (p^q) →r=p→ (-qvr)
b) (p→r)^(q→r) = (pvq) → r
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