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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/>

<a NAME="E1:69"/>
 <a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K23">still_not-bound_in</a> <span class="p1">(<span class="default"><a href="cqc_sim1.html#K14" target="_self">SepVar</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="cqc_sim1.html#T45" target="_self">Th45</a></i>;<br/>
<b>then </b> <a href="cqc_sim1.html#K11" target="_self">NBI</a> <font color="Maroon">c<sub>1</sub></font> = 
<span class="p1">{<span class="default"> <font color="Olive">b<sub>1</sub></font> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  : for <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">b<sub>2</sub></font> holds <br/> not  <a href="qc_lang3.html#K2">x.</a> <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="qc_lang1.html#K23">still_not-bound_in</a> <span class="p1">(<span class="default"><a href="cqc_sim1.html#K14" target="_self">SepVar</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> </span>}</span> 

<br/>.= 
 <a href="cqc_sim1.html#K11" target="_self">NBI</a> <span class="p1">(<span class="default"><a href="cqc_sim1.html#K14" target="_self">SepVar</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>

;<br/>
<b>hence </b> <a href="cqc_sim1.html#K12" target="_self">index</a> <font color="Maroon">c<sub>1</sub></font> = 
 <a href="cqc_sim1.html#K10" target="_self">min</a> <span class="p1">(<span class="default"><a href="cqc_sim1.html#K11" target="_self">NBI</a> <span class="p2">(<span class="default"><a href="cqc_sim1.html#K14" target="_self">SepVar</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
 <a href="cqc_sim1.html#K12" target="_self">index</a> <span class="p1">(<span class="default"><a href="cqc_sim1.html#K14" target="_self">SepVar</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>

;<br/><br/>


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