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<a NAME="E1:111_1_1"/>
 not  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="realalg1.html#NK4" title="REALALG1:NK.4">SQ</a> <font color="Maroon" title="c1">R</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_9.html#D20" target="_self" onmouseover="rs('field_9/D20')" onmouseout="rh()">defqc</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c2">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">R</font><span class="kw"> such that </span><br/><a NAME="E3:111_1_1"/><span class="lab"><font color="Green" title="E52">A</font></span>: 
 not <font color="Maroon" title="c2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="realalg1.html#NK4" title="REALALG1:NK.4">SQ</a> <font color="Maroon" title="c1">R</font>
 ;<br/>
<a NAME="E4:111_1_1"/>
 <a href="realalg1.html#NK4" title="REALALG1:NK.4">SQ</a> <font color="Maroon" title="c1">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b1">x</font> where <font color="Olive" title="b1">x</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">R</font> : <font color="Olive" title="b1">x</font> is  <a href="realalg1.html#NV8" title="REALALG1:NV.8">square</a>  </span> } </span> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="realalg1.html#D10" onmouseover="rs('realalg1/D10')" onmouseout="rh()">REALALG1:def 10</a></span>;<br/>
<a NAME="E5:111_1_1"/><span class="kw">then </span>
 not <font color="Maroon" title="c2">a</font> is  <a href="realalg1.html#NV8" title="REALALG1:NV.8">square</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:111_1_1"><span class="lab"><font color="Green" title="E52">A</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:111_1_1"/>
 not  for <font color="Olive">b<sub>1</sub></font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">R</font> holds  <font color="Olive">b<sub>1</sub></font> is  <a href="realalg1.html#NV8" title="REALALG1:NV.8">square</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"> verum</span><br/>


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