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1. (A v G) > K
2. K > (B > F)
3. A ∙ B :. F
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4. A 3 Simplification
5. B 3 Simplification
6. A v G 4 Addition
7. K 1,6 Modus Ponens
8. B > F 2,7 Modus Ponens
9. F 8,5 Modus Ponens