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<b>let </b><font color="Maroon">c<sub>19</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="toprealb.html#K8" target="_self">Tunit_circle</a> 2</span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="tsep_1.html#D1">TSEP_1:def 1</a><br/>

<b>assume </b><a NAME="E1:67_1_1"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">c<sub>19</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="toprealb.html#K11" target="_self">Topen_unit_circle</a> <font color="Maroon">c<sub>18</sub></font></span>)</span>
 ;<br/>

<a NAME="E2:67_1_1"/><i><font color="Green">E43</font></i>: 
 <a href="toprealb.html#K8" target="_self">Tunit_circle</a> 2 is <a href="compts_1.html#V3">being_T2</a>
 
<b>by </b><i><a class="ref" href="topmetr.html#T3">TOPMETR:3</a></i>;<br/>
<font color="Maroon">c<sub>19</sub></font> <a href="subset_1.html#K3">`</a>  = 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="toprealb.html#K8" target="_self">Tunit_circle</a> 2</span>)</span> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>19</sub></font>

<br/>.= 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="toprealb.html#K8" target="_self">Tunit_circle</a> 2</span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="toprealb.html#K8" target="_self">Tunit_circle</a> 2</span>)</span> <a href="subset_1.html#K6">\</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">c<sub>18</sub></font></span><a href="domain_1.html#K6">}</a></span></span>)</span>
<b>by </b><i><a class="txt" href="toprealb.html#E1:67_1_1"><i><font color="Green">E42</font></i></a>, <a class="ref" href="toprealb.html#D10" target="_self">Def10</a></i>
<br/>.= 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="toprealb.html#K8" target="_self">Tunit_circle</a> 2</span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">c<sub>18</sub></font></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="xboole_1.html#T48">XBOOLE_1:48</a></i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">c<sub>18</sub></font></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="zfmisc_1.html#T52">ZFMISC_1:52</a></i>
;<br/>
<a NAME="E4:67_1_1"/><b>then </b>
<font color="Maroon">c<sub>19</sub></font> <a href="subset_1.html#K3">`</a>  is <a href="pre_topc.html#V4">closed</a>
 
<b>by </b><i><a class="txt" href="toprealb.html#E2:67_1_1"><i><font color="Green">E43</font></i></a>, <a class="ref" href="pcomps_1.html#T10">PCOMPS_1:10</a></i>;<br/>
<b>hence </b><a NAME="E5:67_1_1"/>
<font color="Maroon">c<sub>19</sub></font> is <a href="pre_topc.html#V3">open</a>
 <b>by </b><i><a class="ref" href="tops_1.html#T30">TOPS_1:30</a></i>;<br/>


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