What should go in the missing blank on line 5 in order to correctly complete this inference rule proof of the proposition -(pA (p + (-g A r)) A ((-Ar) + q))? 1. [PA (p → (-aA r)) A ((-q^r) → q)] 2. 3. 4. (4 v B) +d 5. ??? 6. 7. 8. False -(pA (p + (-gAr)) ^ ((-g ^r) + 9)) 9. Missing line: (4v b-)-O Or OpV -g

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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What should go in the missing blank on line 5 in order to correctiy complete this inference rule
proof of the proposition -(pA (p + (-q ^r)) A ((¬q^r) -+q))?
1.
2.
3.
4.
5.
6.
7.
8.
9.
[pA (p → (-g Ar)) A ((-q^r) → q)]
P
(d v b) +d
???
(-Ar)
False
-(p^ (p → (-qAr) ^ ((-q ^ r) → 9))
Missing line:
Or
(4 v b-)- O
OpV-q
Transcribed Image Text:What should go in the missing blank on line 5 in order to correctiy complete this inference rule proof of the proposition -(pA (p + (-q ^r)) A ((¬q^r) -+q))? 1. 2. 3. 4. 5. 6. 7. 8. 9. [pA (p → (-g Ar)) A ((-q^r) → q)] P (d v b) +d ??? (-Ar) False -(p^ (p → (-qAr) ^ ((-q ^ r) → 9)) Missing line: Or (4 v b-)- O OpV-q
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