Question 1201731
<font color=black size=3>
This is one way to do the derivation.
<table border = "1" cellpadding = "5"><tr><td>Number</td><td>Statement</td><td>Line(s) Used</td><td>Reason</td></tr><tr><td>1</td><td>G > (S & T)</td><td></td><td></td></tr><tr><td>2</td><td>(S v T) > J</td><td></td><td></td></tr><tr><td>3</td><td>G</td><td></td><td></td></tr><tr><td>:.</td><td>J</td><td></td><td></td></tr><tr><td>4</td><td>S & T</td><td>1,3</td><td>Modus Ponens</td></tr><tr><td>5</td><td>S</td><td>4</td><td>Simplification</td></tr><tr><td>6</td><td>S v T</td><td>5</td><td>Addition</td></tr><tr><td>7</td><td>J</td><td>2,6</td><td>Modus Ponens</td></tr></table>
I used the ampersand symbol in place of the dot.


For more information, check out the various rules of inference and rules of replacement as shown in the link below.
<a href = "https://logiccurriculum.com/2019/02/09/rules-for-proofs/">https://logiccurriculum.com/2019/02/09/rules-for-proofs/</a>


Similar logic questions
<a href = "https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1198762.html">https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1198762.html</a>
<a href = "https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1193810.html">https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1193810.html</a>
<a href = "https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1194113.html">https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1194113.html</a>
<a href = "https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1201675.html">https://www.algebra.com/algebra/homework/Proofs/Proofs.faq.question.1201675.html</a>
</font>