1. F -> G 2. F v G :. G -------------------------- 3. G v F 2 Commutation 4. ~~G v F 3 Double Negation 5. ~G -> F 4 Material Implication 6. ~G -> G 5,1 Hypothetical Syllogism 7. ~~G v G 6 Material Implication 8. G v G 7 Double Negation 9. G 8 Tautology