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<span class="kw">let </span><font color="Maroon" title="c2">A</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V3" title="ISOMICHI:attr.3">1st_class</a>  implies ( not <font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V4" title="ISOMICHI:attr.4">2nd_class</a>  &amp; not <font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V5" title="ISOMICHI:attr.5">3rd_class</a>  ) )</span><br/>

<span class="kw">assume </span><a NAME="E1:71_1_1"/>
<font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V3" title="ISOMICHI:attr.3">1st_class</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( not <font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V4" title="ISOMICHI:attr.4">2nd_class</a>  &amp; not <font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V5" title="ISOMICHI:attr.5">3rd_class</a>  )</span><br/>

<a NAME="E2:71_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E26">A1</font></span>: 
 <a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Maroon" title="c2">A</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <font color="Maroon" title="c2">A</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="isomichi.html#D6" target="_self" title="ISOMICHI:def.6">Def6</a></span>;<br/>
<a NAME="E3:71_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E27">A2</font></span>: 
 <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <font color="Maroon" title="c2">A</font></span>)</span>, <a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Maroon" title="c2">A</font></span>)</span> <a href="xboole_0.html#R3" title="XBOOLE_0:pred.3">are_c=-comparable</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D9" title="XBOOLE_0:def.9">XBOOLE_0:def 9</a></span>;<br/>
<a NAME="E4:71_1_1"/>
not  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <font color="Maroon" title="c2">A</font></span>)</span> <a href="xboole_0.html#R2" title="XBOOLE_0:pred.2">c&lt;</a>  <a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Maroon" title="c2">A</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:71_1_1"><span class="lab"><font color="Green" title="E26">A1</font></span></a>, <a class="ref" href="xboole_1.html#T60" title="XBOOLE_1:th.60">XBOOLE_1:60</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:71_1_1"/>
( not <font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V4" title="ISOMICHI:attr.4">2nd_class</a>  &amp; not <font color="Maroon" title="c2">A</font> is  <a href="isomichi.html#V5" title="ISOMICHI:attr.5">3rd_class</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:71_1_1"><span class="lab"><font color="Green" title="E27">A2</font></span></a>, <a class="ref" href="isomichi.html#D7" target="_self" title="ISOMICHI:def.7">Def7</a>, <a class="ref" href="isomichi.html#D8" target="_self" title="ISOMICHI:def.8">Def8</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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