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<b>let </b><font color="Maroon">L1</font> be  <a href="yellow_0.html#V1">lower-bounded</a> <a href="waybel_3.html#V3">continuous</a> <a href="waybel_0.html#NM7">sup-Semilattice</a>;<br/><b>let </b><font color="Maroon">T</font> be  <a href="pre_topc.html#V2">correct</a> <a href="waybel19.html#V2">Lawson</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">L1</font>;<br/>



<b>consider </b><font color="Maroon">T1</font> being  <a href="waybel11.html#V4">Scott</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">L1</font>;<br/>
<a NAME="E2:34"/><i><font color="Green">E40</font></i>: 
 <a href="waybel23.html#K2">weight</a> <font color="Maroon">T</font> <a href="ordinal1.html#R1">c=</a>  <a href="waybel31.html#K1" target="_self">CLweight</a> <font color="Maroon">L1</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:34"/><i><font color="Green">E41</font></i>: 
 <a href="waybel31.html#K1" target="_self">CLweight</a> <font color="Maroon">L1</font> <a href="ordinal1.html#R1">c=</a>  <a href="waybel23.html#K2">weight</a> <font color="Maroon">T1</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:34"/>
 <a href="waybel23.html#K2">weight</a> <font color="Maroon">T1</font> <a href="ordinal1.html#R1">c=</a>  <a href="waybel23.html#K2">weight</a> <font color="Maroon">T</font>
 
<b>by </b><i/>;<br/>
<a NAME="E5:34"/><b>then </b>
 <a href="waybel31.html#K1" target="_self">CLweight</a> <font color="Maroon">L1</font> <a href="ordinal1.html#R1">c=</a>  <a href="waybel23.html#K2">weight</a> <font color="Maroon">T</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>hence </b><a NAME="E6:34"/>
 <a href="waybel31.html#K1" target="_self">CLweight</a> <font color="Maroon">L1</font> <a href="hidden.html#R1">=</a>  <a href="waybel23.html#K2">weight</a> <font color="Maroon">T</font>
 <b>by </b><i>, <a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>;<br/>


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