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

<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="group_1a.html#V7" title="GROUP_1A:attr.7">UnContinuous</a>  <a href="group_1a.html#NM3" title="GROUP_1A:NM.3">TopaddGroup</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">O</font> being   <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">G</font> holds   <a href="group_1a.html#K7" title="GROUP_1A:func.7">-</a> <font color="Olive" title="b1">O</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">O</font> be   <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">G</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="group_1a.html#K7" title="GROUP_1A:func.7">-</a> <font color="Maroon" title="c2">O</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> </span><br/>



<a NAME="E1:411"/>
 <a href="group_1a.html#K7" title="GROUP_1A:func.7">-</a> <font color="Maroon" title="c2">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="group_1a.html#K39" title="GROUP_1A:func.39">add_inverse</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <font color="Maroon" title="c2">O</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="group_1a.html#T344" target="_self" onmouseover="rs('group_1a/T344')" onmouseout="rh()">Th9</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:411"/>
 <a href="group_1a.html#K7" title="GROUP_1A:func.7">-</a> <font color="Maroon" title="c2">O</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="topgrp_1.html#T25" onmouseover="rs('topgrp_1/T25')" onmouseout="rh()">TOPGRP_1:25</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
