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1. G => (S&T) Premise
2. (S v T) => J Premise
3. G Premise
4. S & T 3,1 Modus Ponens (MP)
5. S 4 Simplification (SIMP)
6. S v T 5 Addition (ADD)
7. J 6,2 MP
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There are other ways to go that are equally valid. One example: we could have used T true on line 5 and ADDed S on line 6.