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<b>consider </b><font color="Maroon">R</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="E2:82_1_1"/><i><font color="Green">E32</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font> &amp; the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T</font> is    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">R</font> )
 <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">R</font>
;<br/>

<b>thus </b><a NAME="E3:82_1_1"/>
( 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">R</font> &amp; the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T</font> <a href="tarski.html#R1">c=</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">R</font> )
 <b>by </b><i>, <a class="ref" href="cantor_1.html#D5">CANTOR_1:def 5</a></i>;<br/>


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