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<span class="kw">let </span><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#NV4" title="COMPTS_1:NV.4">Hausdorff</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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#V2" title="YELLOW_8:attr.2">Baire</a>  )</span><br/>

<span class="kw">assume </span><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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">X</font> is  <a href="yellow_8.html#V2" title="YELLOW_8:attr.2">Baire</a> </span><br/>

<a NAME="E2:17"/><span class="kw">then </span>
( <font color="Maroon" title="c1">X</font> is  <a href="yellow_8.html#V4" title="YELLOW_8:attr.4">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>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_8.html#T22" onmouseover="rs('yellow_8/T22')" onmouseout="rh()">YELLOW_8:22</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:17"/>
<font color="Maroon" title="c1">X</font> is  <a href="yellow_8.html#V2" title="YELLOW_8:attr.2">Baire</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="waybel12.html#T44" onmouseover="rs('waybel12/T44')" onmouseout="rh()">WAYBEL12:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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