document.write( "Question 929849: 1. A -> (D -> E)
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document.write( "2. F -> [(A & B) v (A & ~B)]
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document.write( "concl: (F & D) -> E\r
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document.write( "Professor says it is 11 lines w/ CP.\r
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document.write( "HELP ME. \r
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Algebra.Com's Answer #564566 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " 1. A -> (D -> E)\r\n" ); document.write( " 2. F -> [(A & B) v (A & ~B)]\r\n" ); document.write( " concl: (F & D) -> E\r\n" ); document.write( "\r\n" ); document.write( " 3. F -> [A & (Bv~B)] 2,DL (distributive law, \"take out A & \"\r\n" ); document.write( " 4. F -> A 3,CT (conjunction with a tautology Bv~B)\r\n" ); document.write( " 5. F -> (D -> E) 1,4,HS (hypothetical syllogism)\r\n" ); document.write( " 6. ~F v (D -> E) 5,CD (conditional to disjunction)\r\n" ); document.write( " 7. -F v (~D v E) 6,CD (conditional to disjunction)\r\n" ); document.write( " 8. (~F v ~D) v E 7, (associative law)\r\n" ); document.write( " 9. ~(F & D) v E 8,DM (deMorgan's law) \r\n" ); document.write( "10. (F & D) -> F 9,CD (disjunction to conditional)\r\n" ); document.write( "\r\n" ); document.write( "I did it in 10 lines.\r\n" ); document.write( "Have you studied \"conditional to disjunction\" and its\r\n" ); document.write( "reverse \"disjunction to conditional)? Is that what you\r\n" ); document.write( "label \"CP\"? [Some books label differently]. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |