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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="topgrp_1.html#V3" target="_self">UnContinuous</a> <a href="topgrp_1.html#NM2">TopGroup</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="connsp_2.html#M1">a_neighborhood</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>





<a NAME="E1:97"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="tops_1.html#K1">Int</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="connsp_2.html#D1">CONNSP_2:def 1</a></i>;<br/>
<b>then consider </b><font color="Maroon">c<sub>4</sub></font> being   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E3:97"/><i><font color="Green">E51</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> is <a href="pre_topc.html#V3">open</a> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>4</sub></font> )
 <b>by </b><i><a class="ref" href="tops_1.html#T54">TOPS_1:54</a></i>;<br/>
<a NAME="E4:97"/>
( <font color="Maroon">c<sub>4</sub></font> <a href="group_2.html#K1">"</a>  is <a href="pre_topc.html#V3">open</a> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="group_2.html#K1">"</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="group_2.html#K1">"</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="group_1.html#K3">"</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>4</sub></font> <a href="group_2.html#K1">"</a>  )
 
<b>by </b><i><a class="txt" href="topgrp_1.html#E3:97"><i><font color="Green">E51</font></i></a>, <a class="ref" href="topgrp_1.html#T9" target="_self">Th9</a>, <a class="ref" href="topgrp_1.html#T51" target="_self">Th51</a>, <a class="ref" href="group_2.html#T5">GROUP_2:5</a></i>;<br/>
<b>hence </b><a NAME="E5:97"/>
<font color="Maroon">c<sub>2</sub></font> <a href="group_1.html#K3">"</a>  <a href="hidden.html#R2">in</a>  <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="group_2.html#K1">"</a> </span>)</span>
 <b>by </b><i><a class="ref" href="tops_1.html#T54">TOPS_1:54</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="connsp_2.html#D1">CONNSP_2:def 1</a><br/>


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