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<b>let </b><font color="Maroon">T1</font> be   <a href="pre_topc.html#NM1">TopSpace</a>, <font color="Maroon">T2</font> be   <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:17"/><i><font color="Green">E37</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font>
 <b>and </b><br/><a NAME="E2:17"/><i><font color="Green">E38</font></i>: 
for <font color="Olive">A1</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T1</font><br/> for <font color="Olive">A2</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T2</font>  st <font color="Olive">A1</font> <a href="hidden.html#R1">=</a> <font color="Olive">A2</font> holds <br/> <a href="tops_1.html#K1">Int</a> <font color="Olive">A1</font> <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <font color="Olive">A2</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">A1</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T1</font>;<br/><b>let </b><font color="Maroon">A2</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T2</font>;<br/><b>assume </b><a NAME="E1:17_1"/>
<font color="Maroon">A1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A2</font>
 ;<br/><a NAME="E2:17_1"/><b>then </b>
 <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K3">`</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K3">`</a> </span>)</span>
 <b>by </b><i>, </i>;<br/><b>hence </b> <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">A1</font> = 
<span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p2">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3">`</a> 
<b>by </b><i>, <a class="ref" href="tdlat_3.html#T2">TDLAT_3:2</a></i>
<br/>.= 
 <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">A2</font>
<b>by </b><i><a class="ref" href="tdlat_3.html#T2">TDLAT_3:2</a></i>
;<br/><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:17"/>
the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T1</font> <a href="hidden.html#R1">=</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T2</font>
 <b>by </b><i>, </i>;<br/>


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