<?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="tdlat_3.html#V1" title="TDLAT_3:attr.1">discrete</a> <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is <a href="topgen_1.html#V7" title="TOPGEN_1:attr.7">separable</a> iff <font color="Maroon" title="c1">T</font> is <a href="orders_4.html#V1" title="ORDERS_4:attr.1">countable</a> )</span><br/>

<a NAME="E1:19"/>
( <font color="Maroon" title="c1">T</font> is <a href="topgen_1.html#V7" title="TOPGEN_1:attr.7">separable</a> iff  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">T</font></span>)</span> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a>  )
 
<b>by </b><i><a class="ref" href="topgen_4.html#T10" target="_self" title="TOPGEN_4:th.10">Th10</a></i>;<br/>
<b>hence </b><a NAME="E2:19"/>
( <font color="Maroon" title="c1">T</font> is <a href="topgen_1.html#V7" title="TOPGEN_1:attr.7">separable</a> iff <font color="Maroon" title="c1">T</font> is <a href="orders_4.html#V1" title="ORDERS_4:attr.1">countable</a> )
 <b>by </b><i><a class="ref" href="topgen_1.html#T3" title="TOPGEN_1:th.3">TOPGEN_1:3</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
