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<b>let </b><font color="Maroon" title="c1">i</font>, <font color="Maroon" title="c2">n</font>, <font color="Maroon" title="c3">k</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c4">aSub</font> be   <a href="binarith.html#NM1" title="BINARITH:NM.1">Tuple</a> of <font color="Maroon" title="c2">n</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">k</font> <a href="radix_3.html#K4" title="RADIX_3:func.4">-SD_Sub</a> </span>)</span>;<br/>







<b>assume </b><a NAME="E1:33"/><i><font color="Green" title="E27">A1</font></i>: 
<font color="Maroon" title="c1">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Maroon" title="c2">n</font>
 ;<br/>

<a NAME="E2:33"/><b>then </b>
<font color="Maroon" title="c4">aSub</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="radix_3.html#K7" title="RADIX_3:func.7">DigA_SDSub</a> <font color="Maroon" title="c4">aSub</font>,<font color="Maroon" title="c1">i</font>
 
<b>by </b><i><a class="ref" href="radix_3.html#D5" target="_self" title="RADIX_3:def.5">Def5</a></i>;<br/>
<b>hence </b><a NAME="E3:33"/>
 <a href="radix_3.html#K7" title="RADIX_3:func.7">DigA_SDSub</a> <font color="Maroon" title="c4">aSub</font>,<font color="Maroon" title="c1">i</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Maroon" title="c3">k</font> <a href="radix_3.html#K4" title="RADIX_3:func.4">-SD_Sub</a> 
 <b>by </b><i><a class="txt" href="radix_3.html#E1:33"><i><font color="Green" title="E27">A1</font></i></a>, <a class="ref" href="radix_3.html#T12" target="_self" title="RADIX_3:th.12">Th12</a></i>;<br/>


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