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1. E^ (F v G) 2. (E ^ G) → ~ (H v l) 3. ("H v "I) → ~ (E ^ F) /.:. H +I 4. (E ^ G) → (~H ^ ) 5. " (H^ I) → ~ (E ^ E)_ 6. (E ^ F) → (H ^ I) 7. [(E ^ F) → (H ^ I)1 ^ [(E^ G) → (^H ^ 씨)11 8. (E ^ F) v (E ^ G) 9. (H^ I) v (^H ^ ^씨) 10. H +I

1. E^ (F v G) 2. (E ^ G) → ~ (H v l) 3. ("H v "I) → ~ (E ^ F) /.:. H +I 4. (E ^ G) → (~H ^ ) 5. " (H^ I) → ~ (E ^ E)_ 6. (E ^ F) → (H ^ I) 7. [(E ^ F) → (H ^ I)1 ^ [(E^ G) → (^H ^ 씨)11 8. (E ^ F) v (E ^ G) 9. (H^ I) v (^H ^ ^씨) 10. H +I

Advanced Engineering Mathematics
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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Below is a formal proof of validity for the indicated argument. State the justification for each line that is not a premise

A. 1. E^ (F v G) 2. (E^ G) > " (H v l) 3. ("H v "I) → * (E ^ F) /: H + I 4. (E^ G) → ("H ^ I) 5. " (H^ I) → " (E ^ E)_ 6. (E ^ F) → (H^ I) 7. [(E ^ F) > (H^ )] * [(E ^ G) > ("H ^ ]L 8. (E ^ F) v (E ^ G) 9. (H^ I) v ("H ^ ~I) 10. H +I
Transcribed Image Text:A. 1. E^ (F v G) 2. (E^ G) > " (H v l) 3. ("H v "I) → * (E ^ F) /: H + I 4. (E^ G) → ("H ^ I) 5. " (H^ I) → " (E ^ E)_ 6. (E ^ F) → (H^ I) 7. [(E ^ F) > (H^ )] * [(E ^ G) > ("H ^ ]L 8. (E ^ F) v (E ^ G) 9. (H^ I) v ("H ^ ~I) 10. H +I
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