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<b>let </b><font color="Maroon" title="c2">X0</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of <font color="Maroon" title="c1">X</font>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c3">A0</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">X0</font>;<br/><b>assume </b><a NAME="E1:40_1_1_1"/>
<font color="Maroon" title="c3">A0</font> is <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>
 ;<br/><b>then consider </b><font color="Maroon" title="c4">A</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="E3:40_1_1_1"/><i><font color="Green" title="E21">A1</font></i>: 
<font color="Maroon" title="c4">A</font> is <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>
 <b>and </b><br/><a NAME="E4:40_1_1_1"/><i><font color="Green" title="E22">A2</font></i>: 
<font color="Maroon" title="c3">A0</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">A</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c2">X0</font></span>)</span>
 <b>by </b><i><a class="ref" href="tops_2.html#T32" title="TOPS_2:th.32">TOPS_2:32</a></i>;<br/><a NAME="E5:40_1_1_1"/>
<font color="Maroon" title="c4">A</font> is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>
 <b>by </b><i><a class="txt" href="tdlat_3.html#E3:40_1_1_1"><i><font color="Green" title="E21">A1</font></i></a>, <a class="ref" href="tdlat_3.html#T23" target="_self" title="TDLAT_3:th.23">Th23</a></i>;<br/><b>hence </b><a NAME="E6:40_1_1_1"/>
<font color="Maroon" title="c3">A0</font> is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>
 <b>by </b><i><a class="txt" href="tdlat_3.html#E4:40_1_1_1"><i><font color="Green" title="E22">A2</font></i></a>, <a class="ref" href="pre_topc.html#T43" title="PRE_TOPC:th.43">PRE_TOPC:43</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:40_1_1"/>
<font color="Maroon" title="c2">X0</font> is <a href="tdlat_3.html#V3" title="TDLAT_3:attr.3">almost_discrete</a>
 <b>by </b><i><a class="ref" href="tdlat_3.html#T23" target="_self" title="TDLAT_3:th.23">Th23</a></i>;<br/>


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