SOLUTION: Alright, I have access to rules: 1.Modus Ponens 2. Modus Tollens 3. Hypothetical Syllogism 4. Disjunctive Syllogism 5. Constructive dilemma 6. Simplification 7. conjunction 8.

Question 869967: Alright, I have access to rules:
1.Modus Ponens 2. Modus Tollens 3. Hypothetical Syllogism 4. Disjunctive Syllogism 5. Constructive dilemma 6. Simplification 7. conjunction 8. addition 9. demorgan 10. commutative 11. associative 12. Distribute 13. Double negate 14. transposition 15. Implication 16. equivalence 17. exportation 18. tautology
Please help with this:
1. ~(X*Y)>Z
2. Z>Y
conclusion: Y
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

1.  ~(X * Y) > Z
2.  Z > Y
conclusion: Y
-------------------------------------------------------
3.  ~~(X * Y) v Z                         1          Material Implication       
4.  (X * Y) v Z                           3          Double Negation        
5.  Z v (X * Y)                           4          Commutation
6.  (Z v X) * (Z v Y)                     5          Distribution
7.  (Z v Y) * (Z v X)                     6          Commutation
8.  Z v Y                                 7          Simplification
9.  Y v Z                                 8          Commutation
10. ~~Y v Z                               9          Double Negation
11. ~Y > Z                                10         Material Implication  
12. ~Y > Y                                11,2       Hypothetical Syllogism
13. ~~Y v Y                               12         Material Implication 
14. Y v Y                                 13         Double Negation 
15. Y                                     14         Tautology

Note: I'm used to the term "Material Implication" instead of just "Implication" but they're the same idea.
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