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<b>let </b><font color="Maroon">PCPP</font> be   <a href="anproj_2.html#NM1">CollProjectiveSpace</a>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>;<br/>





<b>assume </b><a NAME="E1:4"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q</font>
 ;<br/>

<b>consider </b><font color="Maroon">a</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>, <font color="Maroon">b</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>, <font color="Maroon">c</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font><b> such that </b><br/><a NAME="E3:4"/><i><font color="Green">E35</font></i>: 
not <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i><a class="ref" href="collsp.html#D6">COLLSP:def 6</a></i>;<br/>
<a NAME="E4:4"/>
( <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font> <a href="collsp.html#R1">is_collinear</a>  implies  not <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">c</font> <a href="collsp.html#R1">is_collinear</a>  )
 
<b>by </b><i>, , <a class="ref" href="anproj_2.html#D8">ANPROJ_2:def 8</a></i>;<br/>
<b>hence </b><a NAME="E5:4"/>
not for <font color="Olive">r</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font> holds  <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Olive">r</font> <a href="collsp.html#R1">is_collinear</a> 
 ;<br/>


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