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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>let </b><font color="Maroon">P</font> be    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">T1</font>;<br/>



<b>assume </b><a NAME="E1:44"/><i><font color="Green">E32</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> &amp; <font color="Maroon">P</font> is    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">T2</font> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">C</font> = <font color="Maroon">P</font> as    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">T2</font> ;<br/>
<a NAME="E3:44"/>
(  <a href="cantor_1.html#K2">FinMeetCl</a> <font color="Maroon">P</font> is    <a href="cantor_1.html#M1">Basis</a> of <font color="Maroon">T1</font> &amp;  <a href="cantor_1.html#K2">FinMeetCl</a> <font color="Maroon">C</font> is    <a href="cantor_1.html#M1">Basis</a> of <font color="Maroon">T2</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:44"/>
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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