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<b>let </b><font color="Maroon" title="c1">k</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">k</font> <a href="radix_3.html#K2" title="RADIX_3:func.2">-SD_Sub</a> </span><br/>

<a NAME="E1:13"/><i><font color="Green" title="E12">A1</font></i>: 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">k</font> <a href="radix_3.html#K1" title="RADIX_3:func.1">-SD_Sub_S</a> 
 
<b>by </b><i><a class="ref" href="radix_3.html#T7" target="_self" title="RADIX_3:th.7">Th7</a></i>;<br/>
<a NAME="E2:13"/>
<font color="Maroon" title="c1">k</font> <a href="radix_3.html#K1" title="RADIX_3:func.1">-SD_Sub_S</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">k</font> <a href="radix_3.html#K2" title="RADIX_3:func.2">-SD_Sub</a> 
 
<b>by </b><i><a class="ref" href="radix_3.html#T3" target="_self" title="RADIX_3:th.3">Th3</a></i>;<br/>
<b>hence </b><a NAME="E3:13"/>
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">k</font> <a href="radix_3.html#K2" title="RADIX_3:func.2">-SD_Sub</a> 
 <b>by </b><i><a class="txt" href="radix_3.html#E1:13"><i><font color="Green" title="E12">A1</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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