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<b>let </b><font color="Maroon">S</font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/>

<b>consider </b><font color="Maroon">T</font> being  <a href="pre_topc.html#V1">strict</a> <a href="pre_topc.html#NM1">TopSpace</a><b> such that </b><br/><a NAME="E2:83"/><i><font color="Green">E32</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> &amp; the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> is    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">T</font> )
 <b>by </b><i/>;<br/>
<a NAME="E3:83"/>
the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> <a href="tarski.html#R1">c=</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T</font>
 
<b>by </b><i>, <a class="ref" href="cantor_1.html#D5">CANTOR_1:def 5</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">T</font> = <font color="Maroon">T</font> as    <a href="yellow_9.html#M2" target="_self">TopExtension</a> of <font color="Maroon">S</font> <b>by </b><i>, </i>;<br/>
<b>take </b>
<font color="Maroon">T</font>
;<br/>

<b>thus </b><a NAME="E5:83"/>
( <font color="Maroon">T</font> is <a href="pre_topc.html#V1">strict</a> &amp; the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> is    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">T</font> )
 <b>by </b><i/>;<br/>


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