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<span class="kw">let </span><font color="Maroon" title="c10">a</font>, <font color="Maroon" title="c11">b</font>, <font color="Maroon" title="c12">c</font>, <font color="Maroon" title="c13">p</font>, <font color="Maroon" title="c14">q</font>, <font color="Maroon" title="c15">r</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c9">CLS</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="c10">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">b</font> &amp; <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font>,<font color="Maroon" title="c13">p</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font> &amp; <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font>,<font color="Maroon" title="c14">q</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font> &amp; <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font>,<font color="Maroon" title="c15">r</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font> implies <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c13">p</font>,<font color="Maroon" title="c14">q</font>,<font color="Maroon" title="c15">r</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font> )</span><br/>

<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:21"/><span class="lab"><font color="Green" title="E19">A1</font></span>: 
<font color="Maroon" title="c10">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">b</font>
 <span class="kw">and </span><br/><a NAME="E2:21"/><span class="lab"><font color="Green" title="E20">A2</font></span>: 
<span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font>,<font color="Maroon" title="c13">p</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font>
 <span class="kw">and </span><br/><a NAME="E3:21"/><span class="lab"><font color="Green" title="E21">A3</font></span>: 
<span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font>,<font color="Maroon" title="c14">q</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font>
 <span class="kw">and </span><br/><a NAME="E4:21"/><span class="lab"><font color="Green" title="E22">A4</font></span>: 
<span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font>,<font color="Maroon" title="c15">r</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</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"> <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c13">p</font>,<font color="Maroon" title="c14">q</font>,<font color="Maroon" title="c15">r</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font></span><br/>

<a NAME="E5:21"/><span class="lab"><font color="Green" title="E23">A5</font></span>: 
( <font color="Maroon" title="c10">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c14">q</font> or <font color="Maroon" title="c11">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c14">q</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:21"><span class="lab"><font color="Green" title="E19">A1</font></span></a>, <a class="txt" href="#E3:21"><span class="lab"><font color="Green" title="E21">A3</font></span></a>, <a class="txt" href="collsp.html#E27"><span class="lab"><font color="Green" title="E17">Lm5</font></span></a></span>;<br/>
<a NAME="E6:21"/><span class="lab"><font color="Green" title="E24">A6</font></span>: 
( <font color="Maroon" title="c10">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">r</font> or <font color="Maroon" title="c11">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">r</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:21"><span class="lab"><font color="Green" title="E19">A1</font></span></a>, <a class="txt" href="#E4:21"><span class="lab"><font color="Green" title="E22">A4</font></span></a>, <a class="txt" href="collsp.html#E27"><span class="lab"><font color="Green" title="E17">Lm5</font></span></a></span>;<br/>
<a NAME="E7:21"/><span class="lab"><font color="Green" title="E25">A7</font></span>: 
( <font color="Maroon" title="c13">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c7">Z</font> &amp; <font color="Maroon" title="c14">q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c7">Z</font> )
 
;<br/>
<a NAME="E8:21"/><span class="lab"><font color="Green" title="E26">A8</font></span>: 
<font color="Maroon" title="c15">r</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c7">Z</font>
 
;<br/>
<a NAME="E9:21"/>
( <font color="Maroon" title="c10">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">p</font> or <font color="Maroon" title="c11">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">p</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:21"><span class="lab"><font color="Green" title="E19">A1</font></span></a>, <a class="txt" href="#E2:21"><span class="lab"><font color="Green" title="E20">A2</font></span></a>, <a class="txt" href="collsp.html#E27"><span class="lab"><font color="Green" title="E17">Lm5</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E10:21"/>
<span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><font color="Maroon" title="c13">p</font>,<font color="Maroon" title="c14">q</font>,<font color="Maroon" title="c15">r</font></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="collsp.html#U1" title="COLLSP:sel.1">Collinearity</a> of <font color="Maroon" title="c9">CLS</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:21"><span class="lab"><font color="Green" title="E23">A5</font></span></a>, <a class="txt" href="#E6:21"><span class="lab"><font color="Green" title="E24">A6</font></span></a>, <a class="txt" href="#E7:21"><span class="lab"><font color="Green" title="E25">A7</font></span></a>, <a class="txt" href="#E8:21"><span class="lab"><font color="Green" title="E26">A8</font></span></a></span>; <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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