Question 1116612
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1. (A&#8744;~B)&#8594;(F&#8744;(R&#8729;G))   Premise
2. A                  Premise          
3. F&#8594;L                Premise
4. (R&#8729;G)&#8594;T            Premise
5. (L&#8744;T)&#8594;S            Premise
6. A v ~B             2  Addition (ADD)
7.  F v (R&#8729;G)         6,1  Modus Ponens (MP)
8. L v T             7,3,4  Constructive Dilemma (CD)
9. S                  8,5  MP  (conclusion)

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After reviewing my first answer, I realized that the conditional proof was not only incorrect, it was unnecessary.