document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926966>Question 926966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please assist me with these problems? We are using the Rules of Inference and the Rules of Replacement and I am very confused about the Replacement Rules.Thank you very much! \r<BR>\n" );
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document.write( "Q=>(W * D)  premise<BR>\n" );
document.write( "Q=>W        conclusion\r<BR>\n" );
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document.write( "I v (N * F)    premise<BR>\n" );
document.write( "I => F         premise<BR>\n" );
document.write( "F              conclusion\r<BR>\n" );
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document.write( "P=>A          premise<BR>\n" );
document.write( "Q=>B          premise<BR>\n" );
document.write( "(P v Q) => (A v B)  conclusion\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 #562628 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=562628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started.\r<BR>\n" );
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document.write( "I'm using these rules here\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://www.blinn.edu/brazos/humanities/avoelkel/logic%20note%20sheet.pdf\">https://www.blinn.edu/brazos/humanities/avoelkel/logic%20note%20sheet.pdf</a>\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "1.  Q -> (W * D)\r\n" );
document.write( "/   Q -> W\r\n" );
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document.write( "2.  ~Q v (W * D)                  1      Material Implication\r\n" );
document.write( "3.  (~Q v W) * (~Q v D)           2      Distribution\r\n" );
document.write( "4.  ~Q v W                        3      Simplification\r\n" );
document.write( "5.  Q -> W                        4      Material Implication\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Note: Material Implication and Distribution are rules of replacement while Simplification is a rule of inference. \r<BR>\n" );
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document.write( "What's the difference? A rule of inference applies to the WHOLE line. A rule of replacement can apply to a piece of a line which means it is easier to apply. Notice how simplification would NOT work on line 1 because it's a rule of inference. You would need line 1 to be W*D in order for simplification to work.\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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