document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=565030>Question 565030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello my questions is with this equation:  ((x->y)^(y->z))->(x->z)<BR>\n" );
document.write( "I'm suppose to prove that it is a tautology through a truth table. I was just wondering when you throw that third letter in there (z) how does the truth table start. Is it that there are now 6 rows instead of a normal 4 with two variables. like x would start with three T's and three F's? Thanks in advance<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365570 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=365570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello my questions is with this equation: ((x->y)^(y->z))->(x->z)<BR>\n" );
document.write( "I'm suppose to prove that it is a tautology through a truth table. I was just wondering when you throw that third letter in there (z) how does the truth table start. Is it that there are now 6 rows instead of a normal 4 with two variables. like x would start with three T's and three F's? Thanks in advance<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Use the following pattern:<BR>\n" );
document.write( "x.....y....z<BR>\n" );
document.write( "t.....t....t<BR>\n" );
document.write( "t.....t....f<BR>\n" );
document.write( "t.....f....t<BR>\n" );
document.write( "t.....f....f<BR>\n" );
document.write( "f.....t....t<BR>\n" );
document.write( "f.....t....f<BR>\n" );
document.write( "f.....f....t<BR>\n" );
document.write( "f.....f....f<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );