Advanced Engineering Mathematics
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)
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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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