document.write( "Question 1205405: 1. C ⊃ (D v A) /~C v D\r
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document.write( "2. A ⊃ H\r
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document.write( "3. ~H \n" );
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Algebra.Com's Answer #842194 by Edwin McCravy(20063) You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "Here is a shorter direct proof. It requires Material Implication\r\n" ); document.write( "\r\n" ); document.write( "1. C ⊃ (D v A) \r\n" ); document.write( "2. A ⊃ H\r\n" ); document.write( "3. ~H /~C v D\r\n" ); document.write( "\r\n" ); document.write( "4. ~C v (D v A) 1, Material Implication\r\n" ); document.write( "5. (~C v D) v A 4, Association\r\n" ); document.write( "6. ~A 2,3, Modus Tollens\r\n" ); document.write( "7. A v (~C v D) 5, Commutation\r\n" ); document.write( "8. ~C v D 7,6, Disjunctive Syllogism\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |