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<b>let </b><font color="Maroon" title="c1">X</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="compts_1.html#NV6" title="COMPTS_1:NV.6">Hausdorff</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">X</font> is <a href="waybel_3.html#V6" title="WAYBEL_3:attr.6">locally-compact</a> implies <font color="Maroon" title="c1">X</font> is <a href="yellow_8.html#V1" title="YELLOW_8:attr.1">Baire</a> )</span><br/>

<b>assume </b><a NAME="E1:17"/>
<font color="Maroon" title="c1">X</font> is <a href="waybel_3.html#V6" title="WAYBEL_3:attr.6">locally-compact</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">X</font> is <a href="yellow_8.html#V1" title="YELLOW_8:attr.1">Baire</a></span><br/>

<a NAME="E2:17"/><b>then </b>
( <font color="Maroon" title="c1">X</font> is <a href="yellow_8.html#V3" title="YELLOW_8:attr.3">sober</a> &amp; <font color="Maroon" title="c1">X</font> is <a href="waybel_3.html#V6" title="WAYBEL_3:attr.6">locally-compact</a> )
 
<b>by </b><i><a class="ref" href="yellow_8.html#T31" title="YELLOW_8:th.31">YELLOW_8:31</a></i>;<br/>
<b>hence </b><a NAME="E3:17"/>
<font color="Maroon" title="c1">X</font> is <a href="yellow_8.html#V1" title="YELLOW_8:attr.1">Baire</a>
 <b>by </b><i><a class="ref" href="waybel12.html#T48" title="WAYBEL12:th.48">WAYBEL12:48</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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