<?xml version="1.0"?>
<div class="add">

<b>reconsider </b><font color="Maroon" title="c4">A</font> = <font color="Maroon" title="c2">C</font>, <font color="Maroon" title="c5">B</font> = <font color="Maroon" title="c3">D</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font> ;<br/>
<a NAME="E2:5_1_1"/><i><font color="Green" title="E4">A1</font></i>: 
( <font color="Maroon" title="c4">A</font> is <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> &amp; <font color="Maroon" title="c5">B</font> is <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> )
 
<b>by </b><i><a class="ref" href="lopclset.html#T2" target="_self" title="LOPCLSET:th.2">Th2</a></i>;<br/>
<a NAME="E3:5_1_1"/>
( <font color="Maroon" title="c4">A</font> is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a> &amp; <font color="Maroon" title="c5">B</font> is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a> )
 
<b>by </b><i><a class="ref" href="lopclset.html#T3" target="_self" title="LOPCLSET:th.3">Th3</a></i>;<br/>
<a NAME="E4:5_1_1"/><b>then </b>
( <font color="Maroon" title="c4">A</font> <a href="finsub_1.html#K1" title="FINSUB_1:func.1">\/</a> <font color="Maroon" title="c5">B</font> is <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> &amp; <font color="Maroon" title="c4">A</font> <a href="finsub_1.html#K1" title="FINSUB_1:func.1">\/</a> <font color="Maroon" title="c5">B</font> is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a> )
 
<b>by </b><i><a class="txt" href="lopclset.html#E2:5_1_1"><i><font color="Green" title="E4">A1</font></i></a>, <a class="ref" href="tops_1.html#T36" title="TOPS_1:th.36">TOPS_1:36</a>, <a class="ref" href="tops_1.html#T37" title="TOPS_1:th.37">TOPS_1:37</a></i>;<br/>
<b>hence </b><a NAME="E5:5_1_1"/>
<font color="Maroon" title="c2">C</font> <a href="finsub_1.html#K1" title="FINSUB_1:func.1">\/</a> <font color="Maroon" title="c3">D</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="lopclset.html#K1" title="LOPCLSET:func.1">OpenClosedSet</a> <font color="Maroon" title="c1">T</font>
 <b>by </b><i><a class="ref" href="lopclset.html#T4" target="_self" title="LOPCLSET:th.4">Th4</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
