document.write( "Question 1149079: use an ordinary proof (not conditional or indirect proof) \r
\n" ); document.write( "\n" ); document.write( "1. F⊃(J∨∼F)
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Algebra.Com's Answer #770590 by math_helper(2461)\"\" \"About 
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\n" ); document.write( "1. F⊃(J∨∼F) Premise
\n" ); document.write( "2. J⊃(L∨∼J) Premise
\n" ); document.write( "// Show F⊃L\r
\n" ); document.write( "\n" ); document.write( "3. ~Fv(Jv~F) 1, Material Implication (MI)
\n" ); document.write( "4. ~FvJ 3, IdemV Elimination (may go by other names, AvBvA == AvB)
\n" ); document.write( "5. F⊃J 4, MI
\n" ); document.write( "6. ~Jv(Lv~J) 2, MI
\n" ); document.write( "7. ~JvL 6, IdemV Elimination
\n" ); document.write( "8. J⊃L 7, MI
\n" ); document.write( "9. F⊃L 5,8 Hypothetical Syllogism (HS)\r
\n" ); document.write( "\n" ); document.write( "*** Proof complete ***
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