document.write( "Question 1131581: (A&B)->C
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document.write( "B&~C/ ~A (indirect proof) \n" );
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Algebra.Com's Answer #748979 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "1. (A&B)->C\r\n" ); document.write( "2. B&~C / ~A (indirect proof)\r\n" ); document.write( "\r\n" ); document.write( " | 3. ~~A AIP\r\n" ); document.write( " | 4. A 3. DN\r\n" ); document.write( " | 5. B 2, Simp.\r\n" ); document.write( " | 6. ~C&B 2, Commutation\r\n" ); document.write( " | 7. ~C 6, Simp.\r\n" ); document.write( " | 8. A&B 4,5, Conj.\r\n" ); document.write( " | 9. C 1,8, MP\r\n" ); document.write( " |10. C&~C 9,7, Conj. <--(contradiction)\r\n" ); document.write( "11. ~A Lines 3-10 IP\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |