document.write( "Question 1010731: INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument:
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document.write( "1. (A & U) < > ~R
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document.write( "2. ~(~R v ~A)
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document.write( " / ~U \n" );
document.write( "
Algebra.Com's Answer #626773 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument: \n" ); document.write( " \r\n" ); document.write( " 1. (A & U) < > ~R \r\n" ); document.write( " 2. ~(~R v ~A) \r\n" ); document.write( " / ~U\r\n" ); document.write( "\r\n" ); document.write( " 3. ~~R & ~~A 2, DeMorgan's theorem\r\n" ); document.write( " 4. R & A 3, Double negation\r\n" ); document.write( " 5. R 4, Simplification\r\n" ); document.write( " 6. [(A & U) > ~R] & [~R > (A & U)] 1, Material equivalence\r\n" ); document.write( " 7. (A & U) > ~R 6, Simplification\r\n" ); document.write( " 8. ~~R > ~(A & U) 7, Transposition\r\n" ); document.write( " 9. R > ~(A & U) 8, Double negation\r\n" ); document.write( "10. ~(A & U) 9,5 Modus ponens\r\n" ); document.write( "11. ~A v ~U 10, DeMorgan's theorem\r\n" ); document.write( "12. A & R 4, Commutation\r\n" ); document.write( "13. A 12, Simplification\r\n" ); document.write( "14. ~~A 13, Double negation\r\n" ); document.write( "15. ~U 11,14 Disjunctive syllogism \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |