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<b>let </b><font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></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">c<sub>1</sub></font>;<br/>
<a NAME="E2:76"/>
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">c<sub>2</sub></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">c<sub>1</sub></font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">c<sub>1</sub></font> #)
 
<b>by </b><i><a class="ref" href="waybel25.html#T37" target="_self">Th37</a></i>;<br/>
<b>hence </b><a NAME="E3:76"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="waybel25.html#V1" target="_self">monotone-convergence</a>
 <b>by </b><i><a class="ref" href="waybel25.html#T27" target="_self">Th27</a></i>;<br/>


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