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

<b>let </b><font color="Maroon">GX</font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/><b>let </b><font color="Maroon">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">GX</font>, <font color="Maroon">B</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">GX</font>;<br/>



<b>assume </b><a NAME="E1:11"/>
<font color="Maroon">A</font> <a href="connsp_1.html#R4">is_a_component_of</a> <font color="Maroon">B</font>
 ;<br/>

<b>then consider </b><font color="Maroon">B1</font> being   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon">GX</font> <a href="pre_topc.html#K3">|</a> <font color="Maroon">B</font></span>)</span><b> such that </b><br/><a NAME="E3:11"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">B1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A</font>
 <b>and </b><br/><a NAME="E4:11"/>
<font color="Maroon">B1</font> <a href="connsp_1.html#R3">is_a_component_of</a> <font color="Maroon">GX</font> <a href="pre_topc.html#K3">|</a> <font color="Maroon">B</font>
 <b>by </b><i><a class="ref" href="connsp_1.html#D6">CONNSP_1:def 6</a></i>;<br/>
<a NAME="E5:11"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">GX</font> <a href="pre_topc.html#K3">|</a> <font color="Maroon">B</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="pre_topc.html#T29">PRE_TOPC:29</a></i>;<br/>
<b>hence </b><a NAME="E6:11"/>
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font>
 <b>by </b><i/>;<br/>


</div>
