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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