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<b>let </b><font color="Maroon">ll1</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="qc_lang1.html#K1" target="_self">QC-variables</a> , <font color="Maroon">ll2</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="qc_lang1.html#K1" target="_self">QC-variables</a> ;<br/>

<b>given </b><font color="Maroon">k1</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">P1</font> being   <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Maroon">k1</font>, <font color="Maroon">ll1'</font> being    <a href="qc_lang1.html#M1" target="_self">QC-variable_list</a> of <font color="Maroon">k1</font><b> such that </b><a NAME="E1:33_1_2"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">ll1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">ll1'</font> &amp; <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P1</font> <a href="qc_lang1.html#K9" target="_self">!</a> <font color="Maroon">ll1'</font> )
 ;<br/>

<b>given </b><font color="Maroon">k2</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">P2</font> being   <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Maroon">k2</font>, <font color="Maroon">ll2'</font> being    <a href="qc_lang1.html#M1" target="_self">QC-variable_list</a> of <font color="Maroon">k2</font><b> such that </b><a NAME="E2:33_1_2"/><i><font color="Green">E36</font></i>: 
( <font color="Maroon">ll2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">ll2'</font> &amp; <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P2</font> <a href="qc_lang1.html#K9" target="_self">!</a> <font color="Maroon">ll2'</font> )
 ;<br/>

<a NAME="E3:33_1_2"/><i><font color="Green">E42</font></i>: 
( <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">P1</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <font color="Maroon">ll1'</font> &amp; <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">P2</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K7">^</a> <font color="Maroon">ll2'</font> )
 
<b>by </b><i>, , </i>;<br/>
<font color="Maroon">P1</font> = 
 <a href="qc_lang1.html#K15" target="_self">the_pred_symbol_of</a> <font color="Maroon">F</font>
<b>by </b><i>, , </i>
<br/>.= 
<font color="Maroon">P2</font>
<b>by </b><i>, , </i>
;<br/>
<b>hence </b><a NAME="E5:33_1_2"/>
<font color="Maroon">ll1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">ll2</font>
 <b>by </b><i>, , <a class="ref" href="qc_lang1.html#T4" target="_self">Th4</a>, <a class="ref" href="finseq_1.html#T46">FINSEQ_1:46</a></i>;<br/>


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