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<b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">f</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="qc_lang1.html#K2">bound_QC-variables</a> ;<br/>



<b>assume </b><a NAME="E1:21"/><i><font color="Green">E28</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font>
 ;<br/>

<a NAME="E2:21"/>
<font color="Maroon">f</font> is    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="qc_lang1.html#K1">QC-variables</a> 
 
<b>by </b><i><a class="ref" href="finseq_2.html#T27">FINSEQ_2:27</a></i>;<br/>
<a NAME="E3:21"/><b>then </b><i><font color="Green">E29</font></i>: 
( <font color="Maroon">f</font> is    <a href="qc_lang1.html#M1">QC-variable_list</a> of <font color="Maroon">k</font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font></span>)</span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  : ( 1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">i</font> &amp; <font color="Olive">i</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">f</font> ) </span>}</span>  )
 
<b>by </b><i>, , <a class="ref" href="qc_lang1.html#D8">QC_LANG1:def 8</a></i>;<br/>
<a NAME="E4:21"/><b>then </b>
( <font color="Maroon">f</font> is    <a href="qc_lang1.html#M1">QC-variable_list</a> of <font color="Maroon">k</font> &amp; <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font></span>)</span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  : ( 1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">i</font> &amp; <font color="Olive">i</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">f</font> ) </span>}</span>  <a href="tarski.html#R1">c=</a>  <a href="qc_lang1.html#K2">bound_QC-variables</a>  )
 
<b>by </b><i><a class="ref" href="finseq_1.html#D4">FINSEQ_1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E5:21"/>
<font color="Maroon">f</font> is   <a href="cqc_lang.html#NM2">CQC-variable_list</a> of <font color="Maroon">k</font>
 <b>by </b><i>, <a class="ref" href="cqc_lang.html#D5">CQC_LANG:def 5</a></i>;<br/>


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