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<b>let </b><font color="Maroon">IPP</font> be  <a href="incproj.html#V9">Fanoian</a> <a href="incproj.html#NM2">IncProjSp</a>;<br/>

<b>consider </b><font color="Maroon">p</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">q</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">r</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">s</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">a</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">b</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">c</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">A</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">B</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">C</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">Q</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">L</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">R</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">S</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">D</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>, <font color="Maroon">d</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E2:17"/>
( not <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">L</font> &amp; not <font color="Maroon">r</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">L</font> &amp; not <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> &amp; not <font color="Maroon">s</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> &amp; not <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">R</font> &amp; not <font color="Maroon">r</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">R</font> &amp; not <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font> &amp; not <font color="Maroon">s</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font> )
 <b>and </b><br/><a NAME="E3:17"/><i><font color="Green">E33</font></i>: 
( <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">s</font> <a href="incproj.html#R4">on</a> <font color="Maroon">L</font> &amp; <font color="Maroon">a</font>,<font color="Maroon">q</font>,<font color="Maroon">r</font> <a href="incproj.html#R4">on</a> <font color="Maroon">Q</font> &amp; <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">s</font> <a href="incproj.html#R4">on</a> <font color="Maroon">R</font> &amp; <font color="Maroon">b</font>,<font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="incproj.html#R4">on</a> <font color="Maroon">S</font> &amp; <font color="Maroon">c</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="incproj.html#R4">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">c</font>,<font color="Maroon">r</font>,<font color="Maroon">s</font> <a href="incproj.html#R4">on</a> <font color="Maroon">B</font> &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="incproj.html#R3">on</a> <font color="Maroon">C</font> )
 <b>and </b><br/><a NAME="E4:17"/>
not <font color="Maroon">c</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font>
 <b>and </b><br/><a NAME="E5:17"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">b</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">D</font> &amp; <font color="Maroon">c</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">D</font> &amp; <font color="Maroon">C</font>,<font color="Maroon">D</font>,<font color="Maroon">R</font>,<font color="Maroon">S</font> <a href="incproj.html#R2">are_mutually_different</a>  )
 <b>and </b><br/><a NAME="E6:17"/>
( <font color="Maroon">d</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">c</font>,<font color="Maroon">d</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="incproj.html#R2">are_mutually_different</a>  )
 <b>by </b><i/>;<br/>
<a NAME="E7:17"/>
( <font color="Maroon">b</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font> &amp; <font color="Maroon">b</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">R</font> &amp; <font color="Maroon">b</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> )
 
<b>by </b><i>, <a class="ref" href="incproj.html#D7">INCPROJ:def 7</a>, <a class="ref" href="incproj.html#D8">INCPROJ:def 8</a></i>;<br/>
<b>hence </b><a NAME="E8:17"/>
 ex <font color="Olive">a</font> being  <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font> ex <font color="Olive">A</font>, <font color="Olive">B</font>, <font color="Olive">C</font>, <font color="Olive">D</font> being  <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font> st <br/>( <font color="Olive">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">A</font> &amp; <font color="Olive">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">B</font> &amp; <font color="Olive">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">C</font> &amp; <font color="Olive">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">D</font> &amp; <font color="Olive">A</font>,<font color="Olive">B</font>,<font color="Olive">C</font>,<font color="Olive">D</font> <a href="incproj.html#R2">are_mutually_different</a>  )
 <b>by </b><i/>;<br/>


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