document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981327>Question 981327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use rules of implication and only DeMorgan, commutativity, associativity, distrubution, and double negation from rules of replacement please help\r<BR>\n" );
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document.write( "~X<BR>\n" );
document.write( "Bv(KvX)<BR>\n" );
document.write( "(BvK)>~B<BR>\n" );
document.write( "/K </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602333 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "1. ~X<BR>\n" );
document.write( "2. Bv(KvX)<BR>\n" );
document.write( "3. (BvK)>~B<BR>\n" );
document.write( "/K<BR>\n" );
document.write( "4. (BvK)vX from 2 by Associativity<BR>\n" );
document.write( "5. BvK from 1, 4 by Disjunctive Syllogism<BR>\n" );
document.write( "6. ~B from 5, 3 by Modus Ponens<BR>\n" );
document.write( "7. K from 5, 6 by Disjunctive Syllogism  QED.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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