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<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ) <b>-&gt; </b>   <a href="subset_1.html#M2">Element</a> of <font color="Maroon">k</font> <a href="radix_1.html#K3" target="_self">-SD</a>  =  <a href="radix_1.html#K13" target="_self">Add</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">a<sub>1</sub></font>,<font color="Maroon">k</font>;<br/>
<b>consider </b><font color="Maroon">z</font> being    <a href="trees_4.html#M1">FinSequence</a> of <font color="Maroon">k</font> <a href="radix_1.html#K3" target="_self">-SD</a> <b> such that </b><br/><a NAME="E2:40_1_1"/><i><font color="Green">E29</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n</font>
 <b>and </b><br/><a NAME="E3:40_1_1"/><i><font color="Green">E30</font></i>: 
for <font color="Olive">j</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">j</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K2">Seg</a> <font color="Maroon">n</font> holds <br/><font color="Maroon">z</font> <a href="funct_1.html#K1">.</a> <font color="Olive">j</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">j</font>)
 <b>from </b><i><a class="ref" href="finseq_2.html#S1">FINSEQ_2:sch 1</a>();<br/></i>
<b>reconsider </b><font color="Maroon">z</font> = <font color="Maroon">z</font> as   <a href="binarith.html#NM1">Tuple</a> of <font color="Maroon">n</font>,<span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="radix_1.html#K3" target="_self">-SD</a> </span>)</span> <b>by </b><i><a class="txt" href="radix_1.html#E3:40_1_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="finseq_2.html#T110">FINSEQ_2:110</a></i>;<br/>
<b>take </b>
<font color="Maroon">z</font>
;<br/>

<b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<b>assume </b><a NAME="E5:40_1_1"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K2">Seg</a> <font color="Maroon">n</font>
 ;<br/>

<b>hence </b> <a href="radix_1.html#K4" target="_self">DigA</a> <font color="Maroon">z</font>,<font color="Maroon">i</font> = 
<font color="Maroon">z</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font>
<b>by </b><i/>
<br/>.= 
 <a href="radix_1.html#K13" target="_self">Add</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">i</font>,<font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="radix_1.html#T3" target="_self">Th3</a></i>
;<br/><br/>


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