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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="collsp.html#M2" target="_self">LINE</a> of <font color="Maroon">CLSP</font>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/>





<b>assume </b><a NAME="E1:34"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font>
 ;<br/>

<b>consider </b><font color="Maroon">a</font> being   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CLSP</font>, <font color="Maroon">b</font> being   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CLSP</font><b> such that </b><br/><a NAME="E3:34"/><i><font color="Green">E20</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b</font> &amp; <font color="Maroon">P</font> <a href="hidden.html#R1">=</a>  <a href="collsp.html#K1" target="_self">Line</a> <font color="Maroon">a</font>,<font color="Maroon">b</font> )
 <b>by </b><i/>;<br/>
<a NAME="E4:34"/>
 ex <font color="Olive">r</font> being  <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CLSP</font> st <br/>( <font color="Olive">r</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Olive">r</font> <a href="collsp.html#R1" target="_self">is_collinear</a>  )
 
<b>by </b><i><a class="ref" href="collsp.html#D2" target="_self">Def2</a>, </i>;<br/>
<b>hence </b><a NAME="E5:34"/>
<font color="Maroon">x</font> is   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CLSP</font>
 ;<br/>


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