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<b>let </b><font color="Maroon">X</font> be  non <a href="struct_0.html#V3">empty</a> <a href="compts_1.html#V3">Hausdorff</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<b>assume </b><a NAME="E1:17"/>
<font color="Maroon">X</font> is <a href="waybel_3.html#V6">locally-compact</a>
 ;<br/>

<a NAME="E2:17"/><b>then </b>
( <font color="Maroon">X</font> is <a href="yellow_8.html#V3">sober</a> &amp; <font color="Maroon">X</font> is <a href="waybel_3.html#V6">locally-compact</a> )
 
<b>by </b><i><a class="ref" href="yellow_8.html#T31">YELLOW_8:31</a></i>;<br/>
<b>hence </b><a NAME="E3:17"/>
<font color="Maroon">X</font> is <a href="yellow_8.html#V1">Baire</a>
 <b>by </b><i><a class="ref" href="waybel12.html#T48">WAYBEL12:48</a></i>;<br/>


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