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<b>let </b><font color="Maroon" title="c1">CPS</font> be  <a href="collsp.html#V4" title="COLLSP:attr.4">proper</a> <a href="collsp.html#NM2" title="COLLSP:NM.2">CollSp</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">a'</font>, <font color="Olive" title="b2">b'</font>, <font color="Olive" title="b3">c'</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">CPS</font> st <br/>( <font color="Olive" title="b1">a'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b'</font> &amp; <font color="Olive" title="b2">b'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">c'</font> &amp; <font color="Olive" title="b3">c'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">a'</font> )</span><br/>

<b>consider </b><font color="Maroon" title="c2">a''</font>, <font color="Maroon" title="c3">b''</font>, <font color="Maroon" title="c4">c''</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">CPS</font><b> such that </b><br/><a NAME="E2:9"/><i><font color="Green" title="E5">A1</font></i>: 
not <font color="Maroon" title="c2">a''</font>,<font color="Maroon" title="c3">b''</font>,<font color="Maroon" title="c4">c''</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="ref" href="collsp.html#D6" title="COLLSP:def.6">COLLSP:def 6</a></i>;<br/>
<a NAME="E3:9"/>
( <font color="Maroon" title="c2">a''</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b''</font> &amp; <font color="Maroon" title="c3">b''</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">c''</font> &amp; <font color="Maroon" title="c4">c''</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">a''</font> )
 
<b>by </b><i><a class="txt" href="#E2:9"><i><font color="Green" title="E5">A1</font></i></a>, <a class="ref" href="collsp.html#T7" title="COLLSP:th.7">COLLSP:7</a></i>;<br/>
<b>hence </b><a NAME="E4:9"/>
 ex <font color="Olive" title="b1">a'</font>, <font color="Olive" title="b2">b'</font>, <font color="Olive" title="b3">c'</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">CPS</font> st <br/>( <font color="Olive" title="b1">a'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b'</font> &amp; <font color="Olive" title="b2">b'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">c'</font> &amp; <font color="Olive" title="b3">c'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">a'</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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