document.write( "Question 607203: Can you please help me solve the following proof?\r
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document.write( "1.D>(A*G)
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document.write( "2.(AvB)> [(C>Q)*D] // A (triple bar)D\r
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document.write( "> equals wedge
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document.write( "* equals dot
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Algebra.Com's Answer #382506 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "1. D > (A * G)\r\n" ); document.write( "2. (A v B) > [(C > Q) * D] // A = D \r\n" ); document.write( "-------------------------------------------------------\r\n" ); document.write( "3. ~D v (A * G) 1 MI\r\n" ); document.write( "4. (~D v A) * (~D v G) 3 Dist\r\n" ); document.write( "5. ~D v A 4 Simp\r\n" ); document.write( "6. D > A 5 MI\r\n" ); document.write( "7. ~(A v B) v [(C > Q) * D] 2 MI\r\n" ); document.write( "8. [~(A v B) v (C > Q)] * [~(A v B) v D] 7 Dist\r\n" ); document.write( "9. [~(A v B) v D] * [~(A v B) v (C > Q)] 8 Comm\r\n" ); document.write( "10. ~(A v B) v D 9 Simp\r\n" ); document.write( "11. (~A * ~B) v D 10 DM\r\n" ); document.write( "12. D v (~A * ~B) 11 Comm\r\n" ); document.write( "13. (D v ~A) * (D v ~B) 12 Dist\r\n" ); document.write( "14. D v ~A 13 Simp\r\n" ); document.write( "15. ~A v D 14 Comm\r\n" ); document.write( "16. A > D 15 MI\r\n" ); document.write( "17. (A > D) * (D > A) 16,6 Conj\r\n" ); document.write( "18. A = D 17 ME\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Abbreviations used:\r \n" ); document.write( "\n" ); document.write( "MI = Material Implication \n" ); document.write( "Dist = Distribution \n" ); document.write( "Simp = Simplification \n" ); document.write( "Comm = Commutation \n" ); document.write( "DM = De Morgan's Law \n" ); document.write( "Conj = Conjunction \n" ); document.write( "ME = Material Equivalence \n" ); document.write( " |