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

<b>given </b><font color="Maroon">A</font> being   <a href="incsp_1.html#NM2">LINE</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">d</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font><b> such that </b><a NAME="E1:14"/><i><font color="Green">E33</font></i>: 
( <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">b</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">c</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">d</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">d</font> <a href="incproj.html#R2">are_mutually_different</a>  )
 ;<br/>

<b>let </b><font color="Maroon">B</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>;<br/>

<b>consider </b><font color="Maroon">x</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E3:14"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">x</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">y</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E5:14"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">y</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">B</font>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">C</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E7:14"/><i><font color="Green">E37</font></i>: 
( <font color="Maroon">x</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> &amp; <font color="Maroon">y</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> )
 <b>by </b><i><a class="ref" href="incproj.html#D10">INCPROJ:def 10</a></i>;<br/>
<a NAME="E8:14"/>
 ex <font color="Olive">p1</font>, <font color="Olive">q1</font>, <font color="Olive">r1</font>, <font color="Olive">s1</font> being  <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font> st <br/>( <font color="Olive">p1</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> &amp; <font color="Olive">q1</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> &amp; <font color="Olive">r1</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> &amp; <font color="Olive">s1</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> &amp; <font color="Olive">p1</font>,<font color="Olive">q1</font>,<font color="Olive">r1</font>,<font color="Olive">s1</font> <a href="incproj.html#R2">are_mutually_different</a>  )
 
<b>by </b><i>, , , </i>;<br/>
<b>hence </b><a NAME="E9:14"/>
 ex <font color="Olive">p</font>, <font color="Olive">q</font>, <font color="Olive">r</font>, <font color="Olive">s</font> being  <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font> st <br/>( <font color="Olive">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">B</font> &amp; <font color="Olive">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">B</font> &amp; <font color="Olive">r</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">B</font> &amp; <font color="Olive">s</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">B</font> &amp; <font color="Olive">p</font>,<font color="Olive">q</font>,<font color="Olive">r</font>,<font color="Olive">s</font> <a href="incproj.html#R2">are_mutually_different</a>  )
 <b>by </b><i>, , </i>;<br/>


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