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Complete this formal proof: 2. Q->R Use -> (dash-greather than) for arrow; # for contradiction; justify subproof assumptions with Assume; always drop outer parentheses; no spaces in PROP. 1.P->~Q 2. ~P->R 1. P->~Q 3. | Thus, 2. ~P->R 4. || 5.|| 7.1 6.11 8.1 ~R ~P R # R 9. Q->R Premise Premise Assume Assume Elim; 4,5 ~Elim;4,6 ~Intro;4,7 Intro;3,8 If you are stuck, use the contrapositive idea from the previous problem.

Complete this formal proof: 2. Q->R Use -> (dash-greather than) for arrow; # for contradiction; justify subproof assumptions with Assume; always drop outer parentheses; no spaces in PROP. 1.P->~Q 2. ~P->R 1. P->~Q 3. | Thus, 2. ~P->R 4. || 5.|| 7.1 6.11 8.1 ~R ~P R # R 9. Q->R Premise Premise Assume Assume Elim; 4,5 ~Elim;4,6 ~Intro;4,7 Intro;3,8 If you are stuck, use the contrapositive idea from the previous problem.

Advanced Engineering Mathematics
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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Complete this formal proof: 2. Q->R Use -> (dash-greather than) for arrow; # for contradiction; justify subproof assumptions with Assume; always drop outer parentheses; no spaces in PROP. 1.P->~Q 2. ~P->R 1. P->~Q 3. | Thus, 2. ~P->R 4. || 5.|| 7.1 6.11 8.1 ~R ~P R # R 9. Q->R Premise Premise Assume Assume Elim; 4,5 ~Elim;4,6 ~Intro;4,7 Intro;3,8 If you are stuck, use the contrapositive idea from the previous problem.
Transcribed Image Text:Complete this formal proof: 2. Q->R Use -> (dash-greather than) for arrow; # for contradiction; justify subproof assumptions with Assume; always drop outer parentheses; no spaces in PROP. 1.P->~Q 2. ~P->R 1. P->~Q 3. | Thus, 2. ~P->R 4. || 5.|| 7.1 6.11 8.1 ~R ~P R # R 9. Q->R Premise Premise Assume Assume Elim; 4,5 ~Elim;4,6 ~Intro;4,7 Intro;3,8 If you are stuck, use the contrapositive idea from the previous problem.
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