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

<b>let </b><font color="Maroon">X1</font> be   <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">X2</font> be   <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">D1</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X1</font>;<br/><b>let </b><font color="Maroon">D2</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X2</font>;<br/>







<b>assume </b><a NAME="E1:84"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">D1</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">D2</font>
 ;<br/>

<b>assume </b><a NAME="E2:84"/><i><font color="Green">E23</font></i>: 
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X1</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">X1</font> #) <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X2</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">X2</font> #)
 ;<br/>

<b>then reconsider </b><font color="Maroon">C2</font> = <font color="Maroon">D1</font> as   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X2</font> ;<br/>
<a NAME="E4:84"/>
(  <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">D1</font> <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">C2</font> &amp;  <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">C2</font> <a href="tarski.html#R1">c=</a>  <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">D2</font> )
 
<b>by </b><i>, , , <a class="ref" href="pre_topc.html#T49">PRE_TOPC:49</a></i>;<br/>
<b>hence </b><a NAME="E5:84"/>
 <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">D1</font> <a href="tarski.html#R1">c=</a>  <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">D2</font>
 ;<br/>


</div>
