document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042510>Question 1042510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. (&#8976;SvL)&#8594;F, &#8976;[P v (QvS)] &#11381; F\r<BR>\n" );
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document.write( "2. &#11381;S &#8594; (B&#8594;S)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657519 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. (&#8976;SvL)&#8594;F -------------hypothesis<BR>\n" );
document.write( "2. ~(~SvL)vF --------------------material implication<BR>\n" );
document.write( "3. (S&~L)vF --------------------de Morgan's and double negation<BR>\n" );
document.write( "4. (SvF)&(~LvF) -----------------distributivity<BR>\n" );
document.write( "5. SvF  ------------------------simplification<BR>\n" );
document.write( "6. ~(~S)vF ----------------------double negation<BR>\n" );
document.write( "7. ~S -> F ---------------------material implication<BR>\n" );
document.write( "8. &#8976;[P v (QvS)]----------------hypothesis<BR>\n" );
document.write( "9. ~P &~Q & ~S ------------------de Morgan's on #8<BR>\n" );
document.write( "10. ~S  -------------------------simplification<BR>\n" );
document.write( "11. F   -------------------------modus ponens on #7 and #11\r<BR>\n" );
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document.write( "1. S -> (B-> S)----------------hypothesis<BR>\n" );
document.write( "2. ~S v (~B v S) --------------material implication (twice)<BR>\n" );
document.write( "3. ~S v (S v ~B) --------------commutativity<BR>\n" );
document.write( "4. (~S v S) v ~B --------------associativity<BR>\n" );
document.write( "5. T v ~B ---------------------tautology (law of excluded middle)<BR>\n" );
document.write( "6. T   -----------------------tautology </SPAN>\n" );
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