document.write( "Question 935456: 1. A→B
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document.write( "2. A→~(C∨B) ∴ ~A\r
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document.write( "1. (A&~B)&(~C∨D)
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document.write( "2. ~((D&A)&~B) ∴ ~C
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Algebra.Com's Answer #568714 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "1. A→B\r\n" ); document.write( "2. A→~(C∨B) ∴ ~A \r\n" ); document.write( "\r\n" ); document.write( "3. A→(~C&~B) 2, DeMorgan's theorem\r\n" ); document.write( "4. A→~B 3, Decomposition (simplification) of a conjunction\r\n" ); document.write( "5. ~B→~A 1, Modus Tollens\r\n" ); document.write( "6. ~~B→~A 4, Modus Tollens\r\n" ); document.write( "7. B→~A 7, Double negation\r\n" ); document.write( "8. B∨~B Tautology (law of excluded middle)\r\n" ); document.write( "9. ~A 7,5,8, disjunctive elimination (disjunctive syllogism) \r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "1. (A&~B)&(~C∨D)\r\n" ); document.write( "2. ~[(D&A)&~B] ∴ ~C\r\n" ); document.write( "\r\n" ); document.write( "3. ~[D&(A&~B)] 2,Association\r\n" ); document.write( "4. ~D∨~(A&~B) 3,DeMorgan's theorem \r\n" ); document.write( "5. A&~B 1,Decomposition (simplification) of a conjunction \r\n" ); document.write( "6. ~D 4,5, disjunctive elimination (disjunctive syllogism) \r\n" ); document.write( "7. ~C∨D 1,Decomposition (simplification) of a conjunction\r\n" ); document.write( "8. ~C 7,6, disjunctive elimination (disjunctive syllogism) \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |