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<b>let </b><font color="Maroon">CLSP</font> be  <a href="collsp.html#V4" target="_self">proper</a> <a href="collsp.html#NM2">CollSp</a>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CLSP</font>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CLSP</font>;<br/><b>let </b><font color="Maroon">P</font> be    <a href="collsp.html#M2" target="_self">LINE</a> of <font color="Maroon">CLSP</font>;<br/>







<b>assume </b><a NAME="E1:37"/><i><font color="Green">E19</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">p</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> &amp; <font color="Maroon">q</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">Q</font> =  <a href="collsp.html#K1" target="_self">Line</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> as    <a href="collsp.html#M2" target="_self">LINE</a> of <font color="Maroon">CLSP</font> <b>by </b><i/>;<br/>
<a NAME="E3:37"/>
<font color="Maroon">Q</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">P</font>
 
<b>by </b><i><a class="txt" href="collsp.html#E6"><i><font color="Green">Lemma30</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E4:37"/>
 <a href="collsp.html#K1" target="_self">Line</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P</font>
 <b>by </b><i><a class="ref" href="collsp.html#D2" target="_self">Def2</a></i>;<br/>


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