For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that justifies it. ( V - כ(UT) .1 ( ( (WX) כ U) כ T) .2 3. ((T · V) ɔ ~ (W v X)) .: (W = X) 4. ((T · U) ɔ (W·X)) 5. (T · V) ɔ (~ W . ~ X)) 6. ((T · U) Ɔ (W ·X)) ·((T· V) ɔ (~ W . ~ X)) 7. (T · U v (T . V)) 8. ((W· X) V (~W v ~ X) 9. (W = X) Prompts Submitted Answers How did we arrive with line number 4? 2. Exportation How did we arrive with line number 5? 3, De Morgan's Theorem How did we arrive with line number 6? Choose a match How did we arrive with line number 7? Choose a match How did we arrive with line number 8? Choose a match How did we arrive with line number 9? Choose a match

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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For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that
justifies it.
1. (T· (Uɔ V))
( ( (WX) כ (UT).2
3. ( (T · V) ɔ ~ (W v X))
.: (W = X)
4. ((Т. U) 5 (W .X))
5. (T · V) ɔ ( ~ W. ~ X))
6. ((T · U) ɔ (W ·X)) · ((T· V) ɔ (~ W. ~ X))
7. (T . U v (T. V))
8. ((W · X) v (~ W v ~ X)
9. (W = X)
Prompts
Submitted Answers
How did we arrive with line number 4?
2, Exportation
How did we arrive with line number 5?
3, De Morgan's Theorem
How did we arrive with line number 6?
Choose a match
How did we arrive with line number 7?
Choose a match
How did we arrive with line number 8?
Choose a match
How did we arrive with line number 9?
Choose a match
Transcribed Image Text:For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that justifies it. 1. (T· (Uɔ V)) ( ( (WX) כ (UT).2 3. ( (T · V) ɔ ~ (W v X)) .: (W = X) 4. ((Т. U) 5 (W .X)) 5. (T · V) ɔ ( ~ W. ~ X)) 6. ((T · U) ɔ (W ·X)) · ((T· V) ɔ (~ W. ~ X)) 7. (T . U v (T. V)) 8. ((W · X) v (~ W v ~ X) 9. (W = X) Prompts Submitted Answers How did we arrive with line number 4? 2, Exportation How did we arrive with line number 5? 3, De Morgan's Theorem How did we arrive with line number 6? Choose a match How did we arrive with line number 7? Choose a match How did we arrive with line number 8? Choose a match How did we arrive with line number 9? Choose a match
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