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<b>let </b><font color="Maroon">G</font> be    <a href="incsp_1.html#L1">IncProjStr</a> ;<br/><b>let </b><font color="Maroon">a</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">r</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">P</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">Q</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">R</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/>

















<b>assume </b><b>that </b><br/><a NAME="E1:30"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">G</font> is <a href="projpl_1.html#V1" target="_self">configuration</a>
 <b>and </b><br/><a NAME="E2:30"/><i><font color="Green">E37</font></i>: 
( <font color="Maroon">a</font> <a href="projpl_1.html#R3" target="_self">on</a> <font color="Maroon">P</font>,<font color="Maroon">Q</font>,<font color="Maroon">R</font> &amp; <font color="Maroon">P</font>,<font color="Maroon">Q</font>,<font color="Maroon">R</font> <a href="incproj.html#R1">are_mutually_different</a>  &amp; <font color="Maroon">a</font> <a href="projpl_1.html#NR1" target="_self">|'</a> <font color="Maroon">A</font> &amp; <font color="Maroon">p</font> <a href="projpl_1.html#R2" target="_self">on</a> <font color="Maroon">A</font>,<font color="Maroon">P</font> &amp; <font color="Maroon">q</font> <a href="projpl_1.html#R2" target="_self">on</a> <font color="Maroon">A</font>,<font color="Maroon">Q</font> &amp; <font color="Maroon">r</font> <a href="projpl_1.html#R2" target="_self">on</a> <font color="Maroon">A</font>,<font color="Maroon">R</font> )
 ;<br/>

<a NAME="E3:30"/><i><font color="Green">E40</font></i>: 
( <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> &amp; <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">R</font> )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:30"/><i><font color="Green">E41</font></i>: 
( <font color="Maroon">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">Q</font> &amp; <font color="Maroon">Q</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">R</font> &amp; <font color="Maroon">R</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">P</font> )
 
<b>by </b><i>, <a class="ref" href="incproj.html#D5">INCPROJ:def 5</a></i>;<br/>
<a NAME="E5:30"/><i><font color="Green">E42</font></i>: 
( <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> &amp; <font color="Maroon">r</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Maroon">r</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">R</font> )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E6:30"/><b>then </b><i><font color="Green">E43</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q</font>
 
<b>by </b><i>, , <a class="ref" href="projpl_1.html#D1" target="_self">Def1</a>, <a class="ref" href="projpl_1.html#D2" target="_self">Def2</a>, </i>;<br/>
<a NAME="E7:30"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">q</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">r</font>
 
<b>by </b><i>, , <a class="ref" href="projpl_1.html#D1" target="_self">Def1</a>, <a class="ref" href="projpl_1.html#D2" target="_self">Def2</a>, <a class="ref" href="projpl_1.html#D3" target="_self">Def3</a>, </i>;<br/>
<a NAME="E8:30"/>
<font color="Maroon">r</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p</font>
 
<b>by </b><i>, , <a class="ref" href="projpl_1.html#D1" target="_self">Def1</a>, <a class="ref" href="projpl_1.html#D2" target="_self">Def2</a>, <a class="ref" href="projpl_1.html#D3" target="_self">Def3</a>, </i>;<br/>
<b>hence </b><a NAME="E9:30"/>
<font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">r</font> <a href="incproj.html#R1">are_mutually_different</a> 
 <b>by </b><i><a class="ref" href="projpl_1.html#T1" target="_self">Th1</a>, , <a class="ref" href="incproj.html#D5">INCPROJ:def 5</a></i>;<br/>


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