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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question 6
Complete this formal proof of ~(~Pv~Q) from P&Q, following all conventions
from the textbook. There are many ways to do it. Your job is to figure out
which way we have in mind using these directions:
• Pay attention to the subproofs!
• When performing similar operations, go from left to right.
1. P&Q
Premise
2. Р
&Elim;1
3. Q
&Elim;1
4.| -Pv-Q
Assume
5. || -Q
VElim;2,4
6. || -Q&Q
&Intro;3,5
7.||
VElim;3,4
8. || -P&P
&Intro;2,7
9.| -(~Pv~Q)
vlntro:4-8
10. -(~Pv~Q)](https://content.bartleby.com/qna-images/question/05c8a115-1745-4cc6-86f0-d96122dc22d2/f1ceeb88-382d-45f8-a278-5d6868d13011/ly40don_thumbnail.png)
Transcribed Image Text:Partial
Question 6
Complete this formal proof of ~(~Pv~Q) from P&Q, following all conventions
from the textbook. There are many ways to do it. Your job is to figure out
which way we have in mind using these directions:
• Pay attention to the subproofs!
• When performing similar operations, go from left to right.
1. P&Q
Premise
2. Р
&Elim;1
3. Q
&Elim;1
4.| -Pv-Q
Assume
5. || -Q
VElim;2,4
6. || -Q&Q
&Intro;3,5
7.||
VElim;3,4
8. || -P&P
&Intro;2,7
9.| -(~Pv~Q)
vlntro:4-8
10. -(~Pv~Q)
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