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<b>let </b><font color="Maroon">X1</font> be   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">R</font>, <font color="Maroon">X2</font> be   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">R</font>;<br/>

<b>assume </b><a NAME="E1:8_1_1"/><i><font color="Green">E30</font></i>: 
for <font color="Olive">T</font> being <a href="pre_topc.html#V2">correct</a> <a href="waybel19.html#V1" target="_self">lower</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">R</font> holds  <font color="Maroon">X1</font> <a href="hidden.html#R1">=</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Olive">T</font>
 ;<br/>

<b>consider </b><font color="Maroon">T</font> being  <a href="pre_topc.html#V2">correct</a> <a href="waybel19.html#V1" target="_self">lower</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">R</font>;<br/>
<a NAME="E3:8_1_1"/>
<font color="Maroon">X1</font> <a href="hidden.html#R1">=</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:8_1_1"/>
(  ex <font color="Olive">T</font> being <a href="pre_topc.html#V2">correct</a> <a href="waybel19.html#V1" target="_self">lower</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">R</font> st not <font color="Maroon">X2</font> <a href="hidden.html#R1">=</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Olive">T</font> or <font color="Maroon">X1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">X2</font> )
 ;<br/>


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