document.write( "Question 1028652: Natural Deduction\r
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document.write( "How do I solve the proof:\r
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document.write( "1. (Av~B)⊃((A•C)⊃B)
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document.write( "2. ~B /A⊃~C \n" );
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Algebra.Com's Answer #643777 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "1. (Av~B)⊃[(A+C)⊃B]\r\n" ); document.write( "2. ~B / A⊃~C\r\n" ); document.write( "\r\n" ); document.write( "3. [(Av~B)•(A&C)]⊃B 1, Importation\r\n" ); document.write( "4. ~[(Av~B)•(A•C)] 3,2 Modus Tollens\r\n" ); document.write( "5. ~(Av~B)v~(A•C) 4, DeMorgan's law\r\n" ); document.write( "6. ~BvA 2, Addition\r\n" ); document.write( "7. Av~B 6, Commutation\r\n" ); document.write( "8. ~~(Av~B) 7, Double negation\r\n" ); document.write( "9. ~(A•C) 5,8, Disjunctive syllogism\r\n" ); document.write( "10. ~Av~C 9, DeMorgan's law\r\n" ); document.write( "11. A⊃~C 10, Material implication\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |