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

<b>let </b><font color="Maroon">P</font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>

<b>assume </b><a NAME="E1:38"/>
<font color="Maroon">P</font> is <a href="topreal2.html#V1">being_simple_closed_curve</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon">P'</font> = <font color="Maroon">P</font> as  <a href="topreal2.html#V1">being_simple_closed_curve</a> <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> ;<br/>
<a NAME="E3:38"/>
<font color="Maroon">P'</font> is <a href="compts_1.html#V6">compact</a>
 
;<br/>
<b>hence </b><a NAME="E4:38"/>
<font color="Maroon">P</font> is <a href="compts_1.html#V6">compact</a>
 ;<br/>


</div>
