In the following proof, what is the statement on line 6? 1. 2. P₁ → (P₂v P3) (P₂) P3 3. P, 4. P₂ V P3 11. P3 12. P₁ → P3 P3 15.7 Рз 6. ??? 7. P3 8. P3 ^ (7 P3) 9. (P₂) (P3^(- P3)) 10. 7 (→ P3) NOT P2 P2 O NOT P3 premise premise assumption →Elim 1,3 assumption ✓ Elim 2,5 ✓ Elim 4,6 ^ Intro 7,5 → Intro 5-8 - Intro 9 10 → Intro 3-11 רר

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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In the following proof, what is the statement on line 6?
1.
2.
P₁ → (P₂v P3)
(P₂) P3
3. P,
4. P₂ V P3
11. P3
12. P₁ → P3
P3
15.7 Рз
6. ???
7. P3
8. P31 (7P3)
9. (P3) → (P3^(- P3))
10. 7 (→ P3)
NOT P2
P2
O NOT P3
premise
premise
assumption
→Elim 1,3
assumption
✓ Elim 2,5
✓ Elim 4,6
^ Intro 7,5
→ Intro 5-8
- Intro q
10
→ Intro 3-11
רר
Transcribed Image Text:In the following proof, what is the statement on line 6? 1. 2. P₁ → (P₂v P3) (P₂) P3 3. P, 4. P₂ V P3 11. P3 12. P₁ → P3 P3 15.7 Рз 6. ??? 7. P3 8. P31 (7P3) 9. (P3) → (P3^(- P3)) 10. 7 (→ P3) NOT P2 P2 O NOT P3 premise premise assumption →Elim 1,3 assumption ✓ Elim 2,5 ✓ Elim 4,6 ^ Intro 7,5 → Intro 5-8 - Intro q 10 → Intro 3-11 רר
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