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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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))
4, 6 Addition
( ( (W.X) כ U) כ T) .2
3. ((T · V) Ɔ ~ (W v X))
3, Transposition
.: (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))
6, 7, Constructive Dilemma
8, Material Equivalence
8. ((W. X) v (~W v ~ X)
9. (W = X)
1, Distribution
Prompts
Submitted Answers
2, Tautology
How did we arrive with line number 4?
2, Exportation
3, De Morgan's Theorem
How did we arrive with line number 5?
Choose a match
2, Simplification
How did we arrive with line number 6?
Choose a match
8, 5, Hypothetical Syllogism
How did we arrive with line number 7?
Choose a match
1, Absorption
How did we arrive with line number 8?
Choose a match
4, 5, Constructive Dilemma
How did we arrive with line number 9?
Choose a match](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F241b34bb-9733-4a3c-93c7-9dad717a20c0%2F086a3619-45fa-4c36-aad0-f69411008bcd%2F29bspd_processed.png&w=3840&q=75)
Transcribed Image Text:1. (T · (UƆ V))
4, 6 Addition
( ( (W.X) כ U) כ T) .2
3. ((T · V) Ɔ ~ (W v X))
3, Transposition
.: (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))
6, 7, Constructive Dilemma
8, Material Equivalence
8. ((W. X) v (~W v ~ X)
9. (W = X)
1, Distribution
Prompts
Submitted Answers
2, Tautology
How did we arrive with line number 4?
2, Exportation
3, De Morgan's Theorem
How did we arrive with line number 5?
Choose a match
2, Simplification
How did we arrive with line number 6?
Choose a match
8, 5, Hypothetical Syllogism
How did we arrive with line number 7?
Choose a match
1, Absorption
How did we arrive with line number 8?
Choose a match
4, 5, Constructive Dilemma
How did we arrive with line number 9?
Choose a match
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