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)) 2. (T ɔ (U ɔ (W·X))) 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? Choose a match How did we arrive with line number 5? Choose a match How did we arrive with line number 6? Choose a match
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)) 2. (T ɔ (U ɔ (W·X))) 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? Choose a match How did we arrive with line number 5? Choose a match How did we arrive with line number 6? 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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
Transcribed Image Text:6, 7, Constructive Dilemma
3, De Morgan's Theorem
8, 5, Hypothetical Syllogism
4, 6 Addition
2, Exportation
8, Material Equivalence
2, Tautology
3, Transposition
1, Absorption
1, Distribution
4, 5, Constructive Dilemma
2, Simplification

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))
( ( (W.X) כ T) (U.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?
Choose a match
How did we arrive with line number 5?
Choose a match
How did we arrive with line number 6?
Choose a match
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