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

<b>set </b><font color="Maroon">c<sub>1</sub></font> =  <a href="kurato_1.html#K6" target="_self">KurExSet</a> ;<br/>
<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <a href="topmetr.html#K3">R^1</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tops_2.html#D1">TOPS_2:def 1</a><br/>

<b>assume </b><a NAME="E1:59_2_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="kurato_1.html#K4" target="_self">Kurat14OpPart</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> 
 ;<br/>

<a NAME="E2:59_2_1"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K4">{</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p4">(<span class="default"><a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p0">(<span class="default"><a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p2">(<span class="default"><a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span></span><a href="enumset1.html#K4">}</a></span>
 
;<br/>
<b>hence </b><a NAME="E3:59_2_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="pre_topc.html#V3">open</a>
 <b>by </b><i><a class="ref" href="enumset1.html#D4">ENUMSET1:def 4</a></i>;<br/>


</div>
