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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">A</font> is <a href="decomp_1.html#V1" title="DECOMP_1:attr.1">semi-open</a> implies <font color="Maroon" title="c2">A</font> is <a href="isomichi.html#V2" title="ISOMICHI:attr.2">subcondensed</a> )</span><br/>

<b>assume </b><a NAME="E1:16_2_1"/>
<font color="Maroon" title="c2">A</font> is <a href="decomp_1.html#V1" title="DECOMP_1:attr.1">semi-open</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">A</font> is <a href="isomichi.html#V2" title="ISOMICHI:attr.2">subcondensed</a></span><br/>

<a NAME="E2:16_2_1"/><b>then </b>
<font color="Maroon" title="c2">A</font> <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>
 
<b>by </b><i><a class="ref" href="decomp_1.html#D2" title="DECOMP_1:def.2">DECOMP_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E3:16_2_1"/>
<font color="Maroon" title="c2">A</font> is <a href="isomichi.html#V2" title="ISOMICHI:attr.2">subcondensed</a>
 <b>by </b><i><a class="ref" href="isomichi.html#T9" target="_self" title="ISOMICHI:th.9">Th9</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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