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<b>let </b><font color="Maroon">S</font> be    <a href="pre_topc.html#L1">TopStruct</a> , <font color="Maroon">T</font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/><b>let </b><font color="Maroon">B</font> be    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">S</font>;<br/>



<b>assume </b><a NAME="E1:41"/><i><font color="Green">E34</font></i>: 
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> #) <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T</font> #)
 ;<br/>

<a NAME="E2:41"/><b>then </b><i><font color="Green">E35</font></i>: 
<font color="Maroon">B</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>consider </b><font color="Maroon">F</font> being    <a href="cantor_1.html#M1">Basis</a> of <font color="Maroon">S</font><b> such that </b><br/><a NAME="E4:41"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">F</font> <a href="tarski.html#R1">c=</a>  <a href="cantor_1.html#K2">FinMeetCl</a> <font color="Maroon">B</font>
 <b>by </b><i><a class="ref" href="cantor_1.html#D5">CANTOR_1:def 5</a></i>;<br/>
<a NAME="E5:41"/>
<font color="Maroon">F</font> is    <a href="cantor_1.html#M1">Basis</a> of <font color="Maroon">T</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E6:41"/>
<font color="Maroon">B</font> is    <a href="cantor_1.html#M2">prebasis</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/>


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