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<span class="kw">consider </span><font color="Maroon" title="c11">a</font>, <font color="Maroon" title="c12">b</font>, <font color="Maroon" title="c13">c</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c10">CLSP</font><span class="kw"> such that </span><br/><a NAME="E2:27_1_1"/><span class="lab"><font color="Green" title="E23">A1</font></span>: 
 not <font color="Maroon" title="c11">a</font>,<font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">c</font> <a href="collsp.html#R1" title="COLLSP:pred.1">are_collinear</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="collsp.html#D6" target="_self" onmouseover="rs('collsp/D6')" onmouseout="rh()">Def6</a></span>;<br/>
<span class="kw">take </span>
 <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c11">a</font>,<font color="Maroon" title="c12">b</font>)
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c10">CLSP</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;  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c11">a</font>,<font color="Maroon" title="c12">b</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) )</span><br/>

<a NAME="E3:27_1_1"/>
<font color="Maroon" title="c11">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c12">b</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:27_1_1"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="ref" href="collsp.html#T2" target="_self" onmouseover="rs('collsp/T2')" onmouseout="rh()">Th2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:27_1_1"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c10">CLSP</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;  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c11">a</font>,<font color="Maroon" title="c12">b</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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