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











<b>assume </b><a NAME="E1:3"/><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> &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">r</font> <a href="collsp.html#R1">is_collinear</a>  )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="3_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:3_1"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b</font>
 ;<br/><a NAME="E2:3_1"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i>, </i>;<br/><a NAME="E3:3_1"/>
<font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">q</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i>, </i>;<br/><a NAME="E4:3_1"/><b>then </b>
<font color="Maroon">b</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i>, , </i>;<br/><a NAME="E5:3_1"/><b>then </b><i><font color="Green">E38</font></i>: 
<font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i/>;<br/><a NAME="E6:3_1"/>
<font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i>, , </i>;<br/><a NAME="E7:3_1"/><b>then </b>
<font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E8:3_1"/>
<font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</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/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:3"/>
<font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</font> <a href="collsp.html#R1">is_collinear</a> 
 <b>by </b><i><a class="ref" href="anproj_2.html#D7">ANPROJ_2:def 7</a></i>;<br/>


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