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<b>let </b><font color="Maroon">A</font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="qc_lang1.html#K2">bound_QC-variables</a> ;<br/>

<b>assume </b><a NAME="E1:33"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">A</font> is <a href="finset_1.html#V1">finite</a>
 ;<br/>

<a NAME="E2:33"/>
not for <font color="Olive">b</font> being   <a href="hidden.html#M1">set</a>  holds <br/> ( <font color="Olive">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A</font> iff <font color="Olive">b</font> <a href="hidden.html#R2">in</a>  <a href="qc_lang1.html#K2">bound_QC-variables</a>  )
 
<b>by </b><i>, <a class="ref" href="calcul_1.html#T64">CALCUL_1:64</a>, <a class="ref" href="tarski.html#T2">TARSKI:2</a></i>;<br/>
<b>then consider </b><font color="Maroon">b</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E4:33"/><i><font color="Green">E55</font></i>: 
( not <font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A</font> &amp; <font color="Maroon">b</font> <a href="hidden.html#R2">in</a>  <a href="qc_lang1.html#K2">bound_QC-variables</a>  )
 ;<br/>
<b>reconsider </b><font color="Maroon">x</font> = <font color="Maroon">b</font> as   <a href="qc_lang1.html#NM3">bound_QC-variable</a> <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">x</font>
;<br/>

<b>thus </b><a NAME="E6:33"/>
not <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A</font>
 <b>by </b><i/>;<br/>


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