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<b>consider </b><font color="Maroon" title="c2">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E2:108_1_1"/><i><font color="Green" title="E64">A1</font></i>: 
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</font>
 <b>by </b><i><a class="ref" href="xboole_0.html#D1" title="XBOOLE_0:def.1">XBOOLE_0:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c3">a</font> = <font color="Maroon" title="c2">a</font> as   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">X</font> <b>by </b><i><a class="txt" href="tex_4.html#E2:108_1_1"><i><font color="Green" title="E64">A1</font></i></a></i>;<br/>
<b>consider </b><font color="Maroon" title="c4">X0</font> being  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a>  <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of <font color="Maroon" title="c1">X</font><b> such that </b><br/><a NAME="E5:108_1_1"/><i><font color="Green" title="E65">A2</font></i>: 
 <a href="tex_4.html#K4" title="TEX_4:func.4">MaxADSet</a> <font color="Maroon" title="c3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c4">X0</font>
 <b>by </b><i><a class="ref" href="tsep_1.html#T10" title="TSEP_1:th.10">TSEP_1:10</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">X0</font>
;<br/>

<a NAME="E6:108_1_1"/>
 <a href="tex_4.html#K4" title="TEX_4:func.4">MaxADSet</a> <font color="Maroon" title="c3">a</font> is <a href="tex_4.html#V3" title="TEX_4:attr.3">maximal_anti-discrete</a>
 
<b>by </b><i><a class="ref" href="tex_4.html#T22" target="_self" title="TEX_4:th.22">Th22</a></i>;<br/>
<b>hence </b><a NAME="E7:108_1_1"/>
( <font color="Maroon" title="c4">X0</font> is <a href="tex_4.html#V4" title="TEX_4:attr.4">maximal_anti-discrete</a> &amp; <font color="Maroon" title="c4">X0</font> is <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a> )
 <b>by </b><i><a class="txt" href="tex_4.html#E5:108_1_1"><i><font color="Green" title="E65">A2</font></i></a>, <a class="ref" href="tex_4.html#T74" target="_self" title="TEX_4:th.74">Th74</a></i>;<br/>


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