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

<b>let </b><font color="Maroon">X</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">X1</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">X2</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><font color="Maroon">X1</font> <a href="tsep_1.html#K1">union</a> <font color="Maroon">X2</font></span>)</span>;<br/><b>let </b><font color="Maroon">x1</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X1</font>;<br/><b>let </b><font color="Maroon">x2</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X2</font>;<br/>











<b>assume </b><a NAME="E1:23"/><i><font color="Green">E23</font></i>: 
( <font color="Maroon">x1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> )
 ;<br/>

<b>let </b><font color="Maroon">A1</font> be    <a href="connsp_2.html#M1">a_neighborhood</a> of <font color="Maroon">x1</font>;<br/><b>let </b><font color="Maroon">A2</font> be    <a href="connsp_2.html#M1">a_neighborhood</a> of <font color="Maroon">x2</font>;<br/>



<b>consider </b><font color="Maroon">V</font> being   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon">X1</font> <a href="tsep_1.html#K1">union</a> <font color="Maroon">X2</font></span>)</span><b> such that </b><br/><a NAME="E3:23"/><i><font color="Green">E29</font></i>: 
( <font color="Maroon">V</font> is <a href="pre_topc.html#V3">open</a> &amp; <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">V</font> &amp; <font color="Maroon">V</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A1</font> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">A2</font> )
 <b>by </b><i>, </i>;<br/>
<b>reconsider </b><font color="Maroon">W</font> = <font color="Maroon">V</font> as    <a href="connsp_2.html#M1">a_neighborhood</a> of <font color="Maroon">x</font> <b>by </b><i><a class="ref" href="tmap_1.html#T2" target="_self">Th2</a>, <a class="ref" href="connsp_2.html#T5">CONNSP_2:5</a></i>;<br/>
<b>take </b>
<font color="Maroon">W</font>
;<br/>

<b>thus </b><a NAME="E5:23"/>
<font color="Maroon">W</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A1</font> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">A2</font>
 <b>by </b><i><a class="ref" href="tmap_1.html#T2" target="_self">Th2</a></i>;<br/>


</div>
