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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">o</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>;<br/><b>let </b><font color="Maroon">a1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>;<br/><b>let </b><font color="Maroon">a2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>;<br/><b>let </b><font color="Maroon">b1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>;<br/><b>let </b><font color="Maroon">b2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">PCPP</font>;<br/>











<b>assume </b><b>that </b><br/><a NAME="E1:15"/><i><font color="Green">E34</font></i>: 
not <font color="Maroon">o</font>,<font color="Maroon">a1</font>,<font color="Maroon">a2</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>and </b><br/><a NAME="E2:15"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">o</font>,<font color="Maroon">a1</font>,<font color="Maroon">b1</font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">o</font>,<font color="Maroon">a2</font>,<font color="Maroon">b2</font> <a href="collsp.html#R1">is_collinear</a>  )
 <b>and </b><br/><a NAME="E3:15"/><i><font color="Green">E36</font></i>: 
( <font color="Maroon">o</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b1</font> &amp; <font color="Maroon">o</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b2</font> )
 ;<br/>

<a NAME="E4:15"/>
not <font color="Maroon">o</font>,<font color="Maroon">b1</font>,<font color="Maroon">a2</font> <a href="collsp.html#R1">is_collinear</a> 
 
<b>by </b><i>, , , </i>;<br/>
<a NAME="E5:15"/><b>then </b>
not <font color="Maroon">o</font>,<font color="Maroon">a2</font>,<font color="Maroon">b1</font> <a href="collsp.html#R1">is_collinear</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E6:15"/><b>then </b>
not <font color="Maroon">o</font>,<font color="Maroon">b2</font>,<font color="Maroon">b1</font> <a href="collsp.html#R1">is_collinear</a> 
 
<b>by </b><i>, , </i>;<br/>
<b>hence </b><a NAME="E7:15"/>
not <font color="Maroon">o</font>,<font color="Maroon">b1</font>,<font color="Maroon">b2</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i/>;<br/>


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