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









<b>assume </b><a NAME="E1:111"/><i><font color="Green">E29</font></i>: 
( not <font color="Maroon">o</font>,<font color="Maroon">p</font>,<font color="Maroon">c</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp; <font color="Maroon">o</font>,<font color="Maroon">p</font>,<font color="Maroon">b</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">p</font> )
 ;<br/>

<b>then consider </b><font color="Maroon">d</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font><b> such that </b><br/><a NAME="E3:111"/><i><font color="Green">E30</font></i>: 
( <font color="Maroon">o</font>,<font color="Maroon">p</font>,<font color="Maroon">b</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  implies ( <font color="Maroon">o</font>,<font color="Maroon">c</font>,<font color="Maroon">d</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp; <font color="Maroon">p</font>,<font color="Maroon">c</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">b</font>,<font color="Maroon">d</font> ) )
 <b>by </b><i><a class="ref" href="semi_af1.html#T56" target="_self">Th56</a></i>;<br/>
<b>take </b>
<font color="Maroon">d</font>
;<br/>

<b>thus </b><a NAME="E4:111"/>
 <a href="semi_af1.html#R4" target="_self">trap</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">d</font>,<font color="Maroon">o</font>
 <b>by </b><i><a class="ref" href="semi_af1.html#T69" target="_self">Th69</a>, <a class="ref" href="semi_af1.html#T70" target="_self">Th70</a>, <a class="ref" href="semi_af1.html#T55" target="_self">Th55</a></i>;<br/>


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