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<span class="kw">let </span><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:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">a9</font>, <font color="Olive" title="b2">b9</font>, <font color="Olive" title="b3">c9</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">a9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b9</font> &amp; <font color="Olive" title="b2">b9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">c9</font> &amp; <font color="Olive" title="b3">c9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">a9</font> )</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c2">a99</font>, <font color="Maroon" title="c3">b99</font>, <font color="Maroon" title="c4">c99</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">CPS</font><span class="kw"> such that </span><br/><a NAME="E2:13"/><span class="lab"><font color="Green" title="E5">A1</font></span>: 
not <font color="Maroon" title="c2">a99</font>,<font color="Maroon" title="c3">b99</font>,<font color="Maroon" title="c4">c99</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="collsp.html#D6" title="COLLSP:def.6">COLLSP:def 6</a></span>;<br/>
<a NAME="E3:13"/><span class="lab"><font color="Green" title="E6">A2</font></span>: 
<font color="Maroon" title="c4">c99</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">a99</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:13"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="collsp.html#T7" title="COLLSP:th.7">COLLSP:7</a></span>;<br/>
<a NAME="E4:13"/>
( <font color="Maroon" title="c2">a99</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b99</font> &amp; <font color="Maroon" title="c3">b99</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">c99</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:13"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="collsp.html#T7" title="COLLSP:th.7">COLLSP:7</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:13"/>
 ex <font color="Olive" title="b1">a9</font>, <font color="Olive" title="b2">b9</font>, <font color="Olive" title="b3">c9</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">a9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b9</font> &amp; <font color="Olive" title="b2">b9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">c9</font> &amp; <font color="Olive" title="b3">c9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">a9</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:13"><span class="lab"><font color="Green" title="E6">A2</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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