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<b>let </b><font color="Maroon">SAS</font> be   <a href="semi_af1.html#NM1">Semi_Affine_Space</a>;<br/><b>let </b><font color="Maroon">o</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/>





<b>assume </b><a NAME="E1:110"/>
 <a href="semi_af1.html#R5" target="_self">qtrap</a> <font color="Maroon">o</font>,<font color="Maroon">p</font>
 ;<br/>

<a NAME="E2:110"/><b>then </b><i><font color="Green">E29</font></i>: 
<font color="Maroon">o</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="semi_af1.html#T68" target="_self">Th68</a></i>;<br/>
<b>then consider </b><font color="Maroon">r</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font><b> such that </b><br/><a NAME="E4:110"/><i><font color="Green">E30</font></i>: 
not <font color="Maroon">o</font>,<font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a> 
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">q</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font><b> such that </b><br/><a NAME="E6:110"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">o</font>,<font color="Maroon">r</font>,<font color="Maroon">q</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp;  <a href="semi_af1.html#R5" target="_self">qtrap</a> <font color="Maroon">o</font>,<font color="Maroon">q</font> )
 <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">q</font>
;<br/>

<a NAME="E7:110"/>
( <font color="Maroon">o</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q</font> &amp; not <font color="Maroon">o</font>,<font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp; <font color="Maroon">o</font>,<font color="Maroon">p</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">o</font>,<font color="Maroon">p</font> &amp; <font color="Maroon">o</font>,<font color="Maroon">r</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">o</font>,<font color="Maroon">q</font> &amp;  <a href="semi_af1.html#R5" target="_self">qtrap</a> <font color="Maroon">o</font>,<font color="Maroon">q</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T70" target="_self">Th70</a>, , , , <a class="ref" href="semi_af1.html#T68" target="_self">Th68</a></i>;<br/>
<b>hence </b><a NAME="E8:110"/>
( not <font color="Maroon">o</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp;  <a href="semi_af1.html#R5" target="_self">qtrap</a> <font color="Maroon">o</font>,<font color="Maroon">q</font> )
 <b>by </b><i><a class="ref" href="semi_af1.html#T69" target="_self">Th69</a>, </i>;<br/>


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