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<span class="kw">let </span><font color="Maroon" title="c1">i</font>, <font color="Maroon" title="c2">n</font>, <font color="Maroon" title="c3">k</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">a</font> being   <a href="finseq_2.html#NM4" title="FINSEQ_2:NM.4">Tuple</a> of <font color="Maroon" title="c2">n</font>,<font color="Maroon" title="c3">k</font> <a href="radix_1.html#K3" title="RADIX_1:func.3">-SD</a>   st <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> holds <br/> <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Olive" title="b1">a</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_1.html#K3" title="RADIX_1:func.3">-SD</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c4">a</font> be   <a href="finseq_2.html#NM4" title="FINSEQ_2:NM.4">Tuple</a> of <font color="Maroon" title="c2">n</font>,<font color="Maroon" title="c3">k</font> <a href="radix_1.html#K3" title="RADIX_1:func.3">-SD</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <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> implies  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Maroon" title="c4">a</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_1.html#K3" title="RADIX_1:func.3">-SD</a>  )</span><br/>







<span class="kw">assume </span><a NAME="E1:22"/><span class="lab"><font color="Green" title="E16">A1</font></span>: 
<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>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Maroon" title="c4">a</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_1.html#K3" title="RADIX_1:func.3">-SD</a> </span><br/>

<a NAME="E2:22"/><span class="kw">then </span>
<font color="Maroon" title="c4">a</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_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c1">i</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="radix_1.html#D3" target="_self" title="RADIX_1:def.3">Def3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:22"/>
 <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Maroon" title="c4">a</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_1.html#K3" title="RADIX_1:func.3">-SD</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:22"><span class="lab"><font color="Green" title="E16">A1</font></span></a>, <a class="ref" href="radix_1.html#T15" target="_self" title="RADIX_1:th.15">Th18</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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