document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171806>Question 1171806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. W ⊃ (P v C) <BR>\n" );
document.write( "2. ~P <BR>\n" );
document.write( "3. W/C\r<BR>\n" );
document.write( "\n" );
document.write( "I am trying to see how they were able to get the conclusion \"C\"\r<BR>\n" );
document.write( "\n" );
document.write( "I think it should be <BR>\n" );
document.write( "4. C   modus ponens 1,2\r<BR>\n" );
document.write( "\n" );
document.write( "But I am not sure if that is correct or if i am on the wrong path. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796718 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=796718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "You have the right idea, but it will require two steps instead of one.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can use Modus Ponens on lines 1 & 3 getting P v C as the result.<BR>\n" );
document.write( "This is because we're told that \"If W, then (P v C)\" on line 1 and we know that W is the case on line 3. So that must mean (P v C) is the case as a result.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Afterward, we use disjunctive syllogism on the statements P v C and ~P (line 2)<BR>\n" );
document.write( "Basically from P v C we know that either P is the case or C is. But line 2 says that ~P is the case, so we know that P isn't the case. That leaves C being the conclusion.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here's the derivation table of the proof argument<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >Number</TD><TD >Statement</TD><TD >Lines Used</TD><TD >Reason</TD></tr><tr><TD >1</TD><TD >W -> (P v C)</TD><TD ></TD><TD ></TD></tr><tr><TD >2</TD><TD >~P</TD><TD ></TD><TD ></TD></tr><tr><TD >3</TD><TD >W</TD><TD ></TD><TD ></TD></tr><tr><TD >:.</TD><TD >C</TD><TD ></TD><TD ></TD></tr><tr><TD >4</TD><TD >P v C</TD><TD >1,3</TD><TD >Modus Ponens</TD></tr><tr><TD >5</TD><TD >C</TD><TD >4,2</TD><TD >Disjunctive Syllogism</TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
document.write( "\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );