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<b>let </b><font color="Maroon" title="c1">T</font> be  <a href="waybel18.html#V2" title="WAYBEL18:attr.2">injective</a> <a href="t_0topsp.html#NM1" title="T_0TOPSP:NM.1">T_0-TopSpace</a>;<br/>

<b>consider </b><font color="Maroon" title="c2">S</font> being  <a href="waybel11.html#V4" title="WAYBEL11:attr.4">Scott</a>  <a href="yellow_9.html#M1" title="YELLOW_9:mode.1">TopAugmentation</a> of  <a href="waybel25.html#K1" title="WAYBEL25:func.1">Omega</a> <font color="Maroon" title="c1">T</font>;<br/>
<a NAME="E2:75"/>
 <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c2">S</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">T</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c1">T</font> #)
 
<b>by </b><i><a class="ref" href="waybel25.html#T37" target="_self" title="WAYBEL25:th.37">Th37</a></i>;<br/>
<b>hence </b><a NAME="E3:75"/>
<font color="Maroon" title="c1">T</font> is <a href="waybel25.html#V1" title="WAYBEL25:attr.1">monotone-convergence</a>
 <b>by </b><i><a class="ref" href="waybel25.html#T27" target="_self" title="WAYBEL25:th.27">Th27</a></i>;<br/>


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