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<b>let </b><font color="Maroon" title="c1">T</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">A</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font>;<br/><b>let </b><font color="Maroon" title="c3">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>





<b>thus </b><a NAME="E1:24"/>
( <font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="topgen_1.html#K2" title="TOPGEN_1:func.2">Der</a> <font color="Maroon" title="c2">A</font> implies <font color="Maroon" title="c3">x</font> <a href="topgen_1.html#R1" title="TOPGEN_1:pred.1">is_an_accumulation_point_of</a> <font color="Maroon" title="c2">A</font> )
 <b>by </b><i><a class="ref" href="topgen_1.html#D3" target="_self" title="TOPGEN_1:def.3">Def3</a></i>;<br/>

<b>assume </b><a NAME="E2:24"/><i><font color="Green" title="E13">A1</font></i>: 
<font color="Maroon" title="c3">x</font> <a href="topgen_1.html#R1" title="TOPGEN_1:pred.1">is_an_accumulation_point_of</a> <font color="Maroon" title="c2">A</font>
 ;<br/>

<a NAME="E3:24"/><b>then </b>
<font color="Maroon" title="c3">x</font> is   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">T</font>
 
<b>by </b><i><a class="ref" href="topgen_1.html#T17" target="_self" title="TOPGEN_1:th.17">Th17</a></i>;<br/>
<b>hence </b><a NAME="E4:24"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="topgen_1.html#K2" title="TOPGEN_1:func.2">Der</a> <font color="Maroon" title="c2">A</font>
 <b>by </b><i><a class="txt" href="topgen_1.html#E2:24"><i><font color="Green" title="E13">A1</font></i></a>, <a class="ref" href="topgen_1.html#D3" target="_self" title="TOPGEN_1:def.3">Def3</a></i>;<br/>


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