document.write( "Question 1157893: Use Indirect Proof to solve the following argument \r
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document.write( "(E v F) ⊃ (C • D)
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document.write( "(D v G) ⊃ H
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document.write( "E v G /H\r
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document.write( "Thank you!
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Algebra.Com's Answer #780857 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( " 1. (E v F) ⊃ (C • D)\r\n" ); document.write( " 2. (D v G) ⊃ H \r\n" ); document.write( " 3. E v G /H\r\n" ); document.write( "\r\n" ); document.write( " | 4. ~H Assumption for Indirect Proof\r\n" ); document.write( " | 5. ~(D v G) 2,4, Modus Tollens\r\n" ); document.write( " | 6. ~D • ~G 5, DeMorgan's Law \r\n" ); document.write( " | 7. ~D 6, Simplification\r\n" ); document.write( " | 8. ~D v ~C 7, Addition\r\n" ); document.write( " | 9. ~(D • C) 8, DeMorgan's Law\r\n" ); document.write( " |10. ~(C • D) 9, Commutation\r\n" ); document.write( " |11. ~(E v F) 1,10, Modus Tollens\r\n" ); document.write( " |12. ~E • ~F 11, DeMorgan's Law\r\n" ); document.write( " |13. ~E 12, Simplification\r\n" ); document.write( " |14. G 3,13 Disjunctive Syllogism\r\n" ); document.write( " |15. ~G • ~D 6, Commutation\r\n" ); document.write( " |16. ~G 15, Simplification\r\n" ); document.write( " |17. G • ~G 14,16, Conjunction\r\n" ); document.write( "18. H Lines 4-17 Indirect Proof\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |