document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188797>Question 188797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I know that these two conjuncts are equivelant, but I do not know how to solve/show this!\r<BR>\n" );
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document.write( "prove ~(pvq) |- ~p &~q </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141596 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can use a truth table to prove this statement:\r<BR>\n" );
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document.write( "<tr><TD >p</TD><TD >q</TD><TD >~p</TD><TD >~q</TD><TD >p v q</TD><TD >~(p v q)</TD><TD > ~p &amp; ~q</TD></tr><tr><TD >T</TD><TD >T</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD ><font color=red>F</font></TD><TD ><font color=red>F</font></TD></tr><tr><TD >T</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD ><font color=red>F</font></TD><TD ><font color=red>F</font></TD></tr><tr><TD >F</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >T</TD><TD ><font color=red>F</font></TD><TD ><font color=red>F</font></TD></tr><tr><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD ><font color=red>T</font></TD><TD ><font color=red>T</font></TD></tr>\n" );
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document.write( "Notice how the columns in red have the same truth values. So this shows that the last columns are logically equivalent. </SPAN>\n" );
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