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<b>let </b><font color="Maroon" title="c1">IPP</font> be   <a href="incproj.html#NM2" title="INCPROJ:NM.2">IncProjSp</a>;<br/>

<b>given </b><font color="Maroon" title="c2">A</font> being   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Maroon" title="c1">IPP</font>, <font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c4">b</font>, <font color="Maroon" title="c5">c</font>, <font color="Maroon" title="c6">d</font> being   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">IPP</font><b> such that </b><a NAME="E2:14"/><i><font color="Green" title="E11">A1</font></i>: 
( <font color="Maroon" title="c3">a</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c2">A</font> &amp; <font color="Maroon" title="c4">b</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c2">A</font> &amp; <font color="Maroon" title="c5">c</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c2">A</font> &amp; <font color="Maroon" title="c6">d</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c2">A</font> &amp; <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c6">d</font> <a href="zfmisc_1.html#R2" title="ZFMISC_1:pred.2">are_mutually_different</a>  )
 ;<br/>

<b>let </b><font color="Maroon" title="c7">B</font> be   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Maroon" title="c1">IPP</font>;<br/>

<b>consider </b><font color="Maroon" title="c8">x</font> being   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">IPP</font><b> such that </b><br/><a NAME="E4:14"/><i><font color="Green" title="E12">A2</font></i>: 
<font color="Maroon" title="c8">x</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c2">A</font>
 <b>by </b><i><a class="ref" href="projred1.html#T7" target="_self" title="PROJRED1:th.7">Th7</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c9">y</font> being   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">IPP</font><b> such that </b><br/><a NAME="E6:14"/><i><font color="Green" title="E13">A3</font></i>: 
<font color="Maroon" title="c9">y</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c7">B</font>
 <b>by </b><i><a class="ref" href="projred1.html#T7" target="_self" title="PROJRED1:th.7">Th7</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c10">C</font> being   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Maroon" title="c1">IPP</font><b> such that </b><br/><a NAME="E8:14"/><i><font color="Green" title="E14">A4</font></i>: 
( <font color="Maroon" title="c8">x</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c10">C</font> &amp; <font color="Maroon" title="c9">y</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c10">C</font> )
 <b>by </b><i><a class="ref" href="incproj.html#D10" title="INCPROJ:def.10">INCPROJ:def 10</a></i>;<br/>
<a NAME="E9:14"/>
 ex <font color="Olive" title="b1">p1</font>, <font color="Olive" title="b2">q1</font>, <font color="Olive" title="b3">r1</font>, <font color="Olive" title="b4">s1</font> being  <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">IPP</font> st <br/>( <font color="Olive" title="b1">p1</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c10">C</font> &amp; <font color="Olive" title="b2">q1</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c10">C</font> &amp; <font color="Olive" title="b3">r1</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c10">C</font> &amp; <font color="Olive" title="b4">s1</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c10">C</font> &amp; <font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">q1</font>,<font color="Olive" title="b3">r1</font>,<font color="Olive" title="b4">s1</font> <a href="zfmisc_1.html#R2" title="ZFMISC_1:pred.2">are_mutually_different</a>  )
 
<b>by </b><i><a class="txt" href="projred1.html#E2:14"><i><font color="Green" title="E11">A1</font></i></a>, <a class="txt" href="projred1.html#E4:14"><i><font color="Green" title="E12">A2</font></i></a>, <a class="txt" href="projred1.html#E8:14"><i><font color="Green" title="E14">A4</font></i></a>, <a class="txt" href="projred1.html#E15"><i><font color="Green" title="E9">Lm1</font></i></a></i>;<br/>
<b>hence </b><a NAME="E10:14"/>
 ex <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font>, <font color="Olive" title="b3">r</font>, <font color="Olive" title="b4">s</font> being  <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">IPP</font> st <br/>( <font color="Olive" title="b1">p</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c7">B</font> &amp; <font color="Olive" title="b2">q</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c7">B</font> &amp; <font color="Olive" title="b3">r</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c7">B</font> &amp; <font color="Olive" title="b4">s</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c7">B</font> &amp; <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font>,<font color="Olive" title="b3">r</font>,<font color="Olive" title="b4">s</font> <a href="zfmisc_1.html#R2" title="ZFMISC_1:pred.2">are_mutually_different</a>  )
 <b>by </b><i><a class="txt" href="projred1.html#E6:14"><i><font color="Green" title="E13">A3</font></i></a>, <a class="txt" href="projred1.html#E8:14"><i><font color="Green" title="E14">A4</font></i></a>, <a class="txt" href="projred1.html#E15"><i><font color="Green" title="E9">Lm1</font></i></a></i>;<br/>


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