Complete the formal proof of this argument: 1. ~(A&B) 2. ~(A&~B) Thus, Remember: justify subproof assumptions with Assume; always drop outer parentheses; no spaces in PROP. 1. ~(A&B) 2. 3.1 4.|| 2. ~A 5. || 6.|| 7.1 8. | A&~B 9.1 10. Premise Premise ▬▬▬▬

Complete the formal proof of this argument: 1. ~(A&B) 2. ~(A&~B) Thus, Remember: justify subproof assumptions with Assume; always drop outer parentheses; no spaces in PROP. 1. ~(A&B) 2. 3.1 4.|| 2. ~A 5. || 6.|| 7.1 8. | A&~B 9.1 10. Premise Premise ▬▬▬▬

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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Question

Complete the formal proof of this argument:
1. ~(A&B)
2. ~(A&~B)
Thus,
Remember: justify subproof assumptions with Assume; always drop outer
parentheses; no spaces in PROP.
1. ~(A&B)
2.
3.1
4.||
2. ~A
5. ||
6.||
7.1
8. | A&~B
9.1
10.
Premise
Premise
ILL

Expert Solution

Step 1

Answer:

1.~(A&B) Premise

2.~(A&~B) Premise

3. I~~A Assumption for indirect derivation

4.II A 3,Double negation

5.II~Av~B 1,DeMorgan's Law

6.IIA-->~B 5,logical equivalence

7. I~ B Modus ponens,4,6

8. IA&~B Addition , 4,7

9. I~(A&~B) Repeat ,2(contradiction)

10. ~A Indirect derivation 3,9

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