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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="yellow_1.html#K2">InclPoset</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/>



<b>assume </b><a NAME="E1:66"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E2:66"/><b>then </b><i><font color="Green">E29</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font>
 
;<br/>
<a NAME="E3:66"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="compts_1.html#V2">compact</a> iff  <a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font> is <a href="compts_1.html#V6">compact</a> )
 
<b>by </b><i><a class="ref" href="compts_1.html#T10">COMPTS_1:10</a></i>;<br/>
<b>hence </b><a NAME="E4:66"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="waybel_3.html#V1" target="_self">compact</a> iff <font color="Maroon">c<sub>1</sub></font> is <a href="compts_1.html#V2">compact</a> )
 <b>by </b><i><a class="txt" href="waybel_3.html#E2:66"><i><font color="Green">E29</font></i></a>, <a class="ref" href="waybel_3.html#T36" target="_self">Th36</a></i>;<br/>


</div>
