document.write( "Question 1140965: How would you prove this argument valid ?
\n" ); document.write( "1. A > H
\n" ); document.write( "2. G > S
\n" ); document.write( "3. ~ K > (A v G)
\n" ); document.write( "4. ~ K & D
\n" ); document.write( "5.( H v S)> J /J
\n" ); document.write( "

Algebra.Com's Answer #761576 by math_helper(2461)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "How would you prove this argument valid ?
\n" ); document.write( "1. A > H
\n" ); document.write( "2. G > S
\n" ); document.write( "3. ~ K > (A v G)
\n" ); document.write( "4. ~ K & D
\n" ); document.write( "5.( H v S)> J /J \r
\n" ); document.write( "\n" ); document.write( "-------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1. A > H
\n" ); document.write( "2. G > S
\n" ); document.write( "3. ~ K > (A v G)
\n" ); document.write( "4. ~ K & D
\n" ); document.write( "5.( H v S)> J
\n" ); document.write( "6. ~K 4, SIMP
\n" ); document.write( "7. A v G 6,3 MP
\n" ); document.write( "8.:: A Conditional Proof (CP) assumption #1
\n" ); document.write( "9.:: H 8,1 MP
\n" ); document.write( "10.:: H v S 9 ADD
\n" ); document.write( "11.:: G CP assumption #2
\n" ); document.write( "12.:: S 12,2 MP
\n" ); document.write( "13.:: S v H 12 ADD
\n" ); document.write( "14.:: H v S 13 COMM
\n" ); document.write( "15.:: A v G --> H v S 8-14 Proof by Cases (PBC)
\n" ); document.write( "16. A v G --> H v S 8-15 CP
\n" ); document.write( "17. H v S 7,16 MP
\n" ); document.write( "15. J 17,5 MP\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "EDITED 5/15: Corrected line 17 from \"5,16 MP\" to \"7,16 MP\"
\n" ); document.write( " \n" ); document.write( "
\n" );