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<b>let </b><font color="Maroon" title="c1">X</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>set </b><font color="Maroon" title="c2">A</font> =  <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c1">X</font>;<br/>
<a NAME="E1:14"/>
 <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c1">X</font> is <a href="tex_2.html#V3" title="TEX_2:attr.3">discrete</a>
 
<b>by </b><i><a class="ref" href="tex_2.html#T35" title="TEX_2:th.35">TEX_2:35</a></i>;<br/>
<a NAME="E2:14"/><b>then </b>
 <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c1">X</font> is <a href="tsp_1.html#V1" title="TSP_1:attr.1">T_0</a>
 
<b>by </b><i><a class="ref" href="tsp_1.html#T11" title="TSP_1:th.11">TSP_1:11</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c3">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">X</font><b> such that </b><br/><a NAME="E4:14"/>
 <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c1">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">M</font>
 <b>and </b><br/><a NAME="E5:14"/><i><font color="Green" title="E13">A1</font></i>: 
<font color="Maroon" title="c3">M</font> is <a href="tsp_2.html#V1" title="TSP_2:attr.1">maximal_T_0</a>
 <b>by </b><i><a class="ref" href="tsp_2.html#T9" target="_self" title="TSP_2:th.9">Th9</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">M</font>
;<br/>

<b>thus </b><a NAME="E6:14"/>
<font color="Maroon" title="c3">M</font> is <a href="tsp_2.html#V1" title="TSP_2:attr.1">maximal_T_0</a>
 <b>by </b><i><a class="txt" href="tsp_2.html#E5:14"><i><font color="Green" title="E13">A1</font></i></a></i>;<br/>


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