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<b>let </b><font color="Maroon">T</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">B</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/>







<b>assume </b><a NAME="E1:47"/>
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font>
 ;<br/>

<a NAME="E2:47"/><b>then </b><i><font color="Green">E39</font></i>: 
 <a href="topgen_1.html#K2" target="_self">Der</a> <font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="topgen_1.html#K2" target="_self">Der</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="txt" href="topgen_1.html#E1"><i><font color="Green">Lemma24</font></i></a></i>;<br/>
<b>assume </b><a NAME="E3:47"/>
<font color="Maroon">x</font> <a href="topgen_1.html#R1" target="_self">is_an_accumulation_point_of</a> <font color="Maroon">A</font>
 ;<br/>

<a NAME="E4:47"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="topgen_1.html#K2" target="_self">Der</a> <font color="Maroon">A</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:47"/>
<font color="Maroon">x</font> <a href="topgen_1.html#R1" target="_self">is_an_accumulation_point_of</a> <font color="Maroon">B</font>
 <b>by </b><i>, <a class="ref" href="topgen_1.html#T4" target="_self">Th4</a></i>;<br/>


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