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<b>let </b><font color="Maroon">A</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">S</font> be   <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="partit1.html#K1">PARTITIONS</a> <font color="Maroon">A</font></span>)</span>;<br/>



<b>assume </b><a NAME="E1:19"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">A</font></span><a href="tarski.html#K1">}</a></span>,<span class="p2">(<span class="default"><a href="eqrel_1.html#K11">SmallestPartition</a> <font color="Maroon">A</font></span>)</span></span><a href="tarski.html#K2">}</a></span>
 ;<br/>

<a NAME="E2:19"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">S</font> is    <a href="taxonom1.html#M1" target="_self">Classification</a> of <font color="Maroon">A</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E3:19"/><i><font color="Green">E31</font></i>: 
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">A</font></span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">S</font>
 
<b>by </b><i>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<a NAME="E4:19"/>
 <a href="eqrel_1.html#K11">SmallestPartition</a> <font color="Maroon">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">S</font>
 
<b>by </b><i>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:19"/>
<font color="Maroon">S</font> is    <a href="taxonom1.html#M2" target="_self">Strong_Classification</a> of <font color="Maroon">A</font>
 <b>by </b><i>, , </i>;<br/>


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