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<b>let </b><font color="Maroon">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T</font>;<br/>

<b>assume </b><a NAME="E1:71_1_1"/>
<font color="Maroon">A</font> is <a href="isomichi.html#V3" target="_self">1st_class</a>
 ;<br/>

<a NAME="E2:71_1_1"/><b>then </b><i><font color="Green">E30</font></i>: 
 <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <font color="Maroon">A</font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="pre_topc.html#K4">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <font color="Maroon">A</font></span>)</span>
 
<b>by </b><i><a class="ref" href="isomichi.html#T10" target="_self">Th10</a></i>;<br/>
<a NAME="E3:71_1_1"/><b>then </b><i><font color="Green">E31</font></i>: 
not  <a href="pre_topc.html#K4">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <font color="Maroon">A</font></span>)</span> <a href="xboole_0.html#R2">c&lt;</a>  <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <font color="Maroon">A</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T60">XBOOLE_1:60</a></i>;<br/>
<a NAME="E4:71_1_1"/>
 <a href="pre_topc.html#K4">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <font color="Maroon">A</font></span>)</span>, <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <font color="Maroon">A</font></span>)</span> <a href="xboole_0.html#R3">are_c=-comparable</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D9">XBOOLE_0:def 9</a>, </i>;<br/>
<b>hence </b><a NAME="E5:71_1_1"/>
( not <font color="Maroon">A</font> is <a href="isomichi.html#V4" target="_self">2nd_class</a> &amp; not <font color="Maroon">A</font> is <a href="isomichi.html#V5" target="_self">3rd_class</a> )
 <b>by </b><i><a class="ref" href="isomichi.html#T15" target="_self">Th15</a>, <a class="ref" href="isomichi.html#T11" target="_self">Th11</a>, <a class="ref" href="isomichi.html#T12" target="_self">Th12</a></i>;<br/>


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