SOLUTION: I need some help with this question. I am confused as to how to write this out, please show me how you get to each step.
Regular Proof:
1.(D*E)v(~D*~E)
2.(H*J)>~(D=E)
3.~~H
Algebra.Com
Question 1091271: I need some help with this question. I am confused as to how to write this out, please show me how you get to each step.
Regular Proof:
1.(D*E)v(~D*~E)
2.(H*J)>~(D=E)
3.~~HvJ / J=~H
Thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: I'm using the ampersand symbol & in place of the asterisk
This is one way to do the derivation
| Number | Statement | Lines Used | Reason |
|---|
| 1 | (D & E) v (~D & ~E) | | |
| 2 | (H & J) > ~(D = E) | | |
| 3 | ~~H v J | | |
| :. | J = ~H | | |
| 4 | ~H > J | 3 | Material Implication |
| 5 | D = E | 1 | Material Equivalence |
| 6 | ~~(D = E) | 5 | Double Negation |
| 7 | ~(H & J) | 2,6 | Modus Tollens |
| 8 | ~H v ~J | 7 | De Morgan's Law |
| 9 | ~J v ~H | 8 | Commutation |
| 10 | ~~J > ~H | 9 | Material Implication |
| 11 | J > ~H | 10 | Double Negation |
| 12 | (J > ~H) & (~H > J) | 11,4 | Conjunction |
| 13 | J = ~H | 12 | Material Equivalence |
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