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<span class="kw">let </span><font color="Maroon" title="c5">CLSP</font> be   <a href="collsp.html#NM2" title="COLLSP:NM.2">CollSp</a>; <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">  for <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="c5">CLSP</font> holds <br/> ( <font color="Olive" title="b1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</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>) &amp; <font color="Olive" title="b2">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</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/><span class="kw">let </span><font color="Maroon" title="c6">a</font>, <font color="Maroon" title="c7">b</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c5">CLSP</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"> ( <font color="Maroon" title="c6">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>) &amp; <font color="Maroon" title="c7">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>) )</span><br/>





<a NAME="E1:17"/>
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c6">a</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#T2" target="_self" onmouseover="rs('collsp/T2')" onmouseout="rh()">Th2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:17"/>
<font color="Maroon" title="c6">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">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"> <font color="Maroon" title="c7">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>)</span><br/>

<a NAME="E3:17"/>
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c7">b</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#T2" target="_self" onmouseover="rs('collsp/T2')" onmouseout="rh()">Th2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:17"/>
<font color="Maroon" title="c7">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">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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