Question 1193810
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Another approach:
<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>R ⊃ A</td><td></td><td></td></tr><tr><td>:.</td><td>R ⊃ (A v W)</td><td></td><td></td></tr><tr><td>2</td><td>~R v A</td><td>1</td><td>Material Implication</td></tr><tr><td>3</td><td>(~R v A) v W</td><td>2</td><td>Addition</td></tr><tr><td>4</td><td>~R v (A v W)</td><td>3</td><td>Association</td></tr><tr><td>5</td><td>R ⊃ (A v W)</td><td>4</td><td>Material Implication</td></tr></table>
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>
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