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<b>let </b><font color="Maroon">T</font> be  <a href="waybel18.html#V2">injective</a> <a href="t_0topsp.html#NM1">T_0-TopSpace</a>;<br/>

<b>consider </b><font color="Maroon">S</font> being  <a href="waybel11.html#V4">Scott</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of  <a href="waybel25.html#K1" target="_self">Omega</a> <font color="Maroon">T</font>;<br/>
<a NAME="E2:75"/><i><font color="Green">E42</font></i>: 
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> #) <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T</font> #)
 
<b>by </b><i/>;<br/>
<a NAME="E3:75"/>
( <font color="Maroon">S</font> is <a href="compts_1.html#V2">compact</a> &amp; <font color="Maroon">S</font> is <a href="waybel_3.html#V6">locally-compact</a> &amp; <font color="Maroon">S</font> is <a href="yellow_8.html#V3">sober</a> )
 
<b>by </b><i><a class="ref" href="waybel14.html#T32">WAYBEL14:32</a></i>;<br/>
<b>hence </b><a NAME="E4:75"/>
( <font color="Maroon">T</font> is <a href="compts_1.html#V2">compact</a> &amp; <font color="Maroon">T</font> is <a href="waybel_3.html#V6">locally-compact</a> &amp; <font color="Maroon">T</font> is <a href="yellow_8.html#V3">sober</a> )
 <b>by </b><i><a class="txt" href="waybel25.html#E2:75"><i><font color="Green">E42</font></i></a>, <a class="ref" href="yellow14.html#T27">YELLOW14:27</a>, <a class="ref" href="yellow14.html#T28">YELLOW14:28</a>, <a class="ref" href="yellow14.html#T29">YELLOW14:29</a></i>;<br/>


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