document.write( "Question 1009889: 1. (P v F) -> (A v D)
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document.write( "2. A -> (M ^ ~P)
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document.write( "3. D -> (C ^ ~P) / ~P \n" );
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Algebra.Com's Answer #625381 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "Indirect proof\r\n" ); document.write( "\r\n" ); document.write( " 1. (P v F) -> (A v D)\r\n" ); document.write( " 2. A -> (M ^ ~P)\r\n" ); document.write( " 3. D -> (C ^ ~P) / ~P\r\n" ); document.write( "\r\n" ); document.write( " 4. ~~P AIP\r\n" ); document.write( " 5. P 4, DN \r\n" ); document.write( " 6. P v F 5, add.\r\n" ); document.write( " 7. A v D 1,6, MP\r\n" ); document.write( " 8. (M ^ ~P) v (C ^ ~P) 7,2,3, DE (disjunctive elimination)\r\n" ); document.write( " 9. (M v C) ^ ~P 8, distribution\r\n" ); document.write( "10. ~P ^ (M v C) 9, commutation\r\n" ); document.write( "11. ~P 10, simp.\r\n" ); document.write( "12. P^~P 5,11, conj.\r\n" ); document.write( "13. ~P 4-12 IP\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |