<?xml version="1.0"?>
<div class="add">

<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">Un</font> be   <a href="nagata_1.html#NM1" title="NAGATA_1:NM.1">FamilySequence</a> of <font color="Maroon" title="c1">T</font>;<br/>



<b>assume </b><a NAME="E1:29"/><i><font color="Green" title="E15">A1</font></i>: 
<font color="Maroon" title="c2">Un</font> is <a href="nagata_1.html#V2" title="NAGATA_1:attr.2">sigma_discrete</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c3">n</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="nagata_1.html#D3" target="_self" title="NAGATA_1:def.3">NAGATA_1:def 3</a><br/>

<a NAME="E2:29"/>
<font color="Maroon" title="c2">Un</font> <a href="nagata_1.html#K1" title="NAGATA_1:func.1">.</a> <font color="Maroon" title="c3">n</font> is <a href="nagata_1.html#V1" title="NAGATA_1:attr.1">discrete</a>
 
<b>by </b><i><a class="txt" href="nagata_1.html#E1:29"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="nagata_1.html#D2" target="_self" title="NAGATA_1:def.2">Def2</a></i>;<br/>
<b>hence </b><a NAME="E3:29"/>
<font color="Maroon" title="c2">Un</font> <a href="nagata_1.html#K1" title="NAGATA_1:func.1">.</a> <font color="Maroon" title="c3">n</font> is <a href="pcomps_1.html#V1" title="PCOMPS_1:attr.1">locally_finite</a>
 <b>by </b><i><a class="ref" href="nagata_1.html#T11" target="_self" title="NAGATA_1:th.11">Th11</a></i>;<br/>


</div>
