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<b>let </b><font color="Maroon">L</font> be  <a href="yellow_0.html#V1">lower-bounded</a> <a href="waybel_0.html#NM7">sup-Semilattice</a>;<br/>

<a NAME="E1:75"/>
 ex <font color="Olive">g</font> being  <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="waybel_4.html#K8" target="_self">MonSet</a> <font color="Maroon">L</font></span>)</span>,<span class="p1">(<span class="default"><a href="yellow_1.html#K2">InclPoset</a> <span class="p2">(<span class="default"><a href="waybel_4.html#K3" target="_self">Aux</a> <font color="Maroon">L</font></span>)</span></span>)</span> st <br/>( <font color="Olive">g</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_4.html#K9" target="_self">Rel2Map</a> <font color="Maroon">L</font></span>)</span> <a href="funct_1.html#K2">"</a>  &amp; <font color="Olive">g</font> is <a href="orders_3.html#V5">monotone</a> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="75_1"><b>proof </b></a><div class="add">

<b>reconsider </b><font color="Maroon">g</font> =  <a href="waybel_4.html#K10" target="_self">Map2Rel</a> <font color="Maroon">L</font> as   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="waybel_4.html#K8" target="_self">MonSet</a> <font color="Maroon">L</font></span>)</span>,<span class="p1">(<span class="default"><a href="yellow_1.html#K2">InclPoset</a> <span class="p2">(<span class="default"><a href="waybel_4.html#K3" target="_self">Aux</a> <font color="Maroon">L</font></span>)</span></span>)</span> ;<br/>
<b>take </b>
<font color="Maroon">g</font>
;<br/>

<b>thus </b><a NAME="E2:75_1"/>
( <font color="Maroon">g</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_4.html#K9" target="_self">Rel2Map</a> <font color="Maroon">L</font></span>)</span> <a href="funct_1.html#K2">"</a>  &amp; <font color="Maroon">g</font> is <a href="orders_3.html#V5">monotone</a> )
 <b>by </b><i><a class="ref" href="waybel_4.html#D5" target="_self">Def5</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:75"/>
 <a href="waybel_4.html#K9" target="_self">Rel2Map</a> <font color="Maroon">L</font> is <a href="waybel_0.html#V23">isomorphic</a>
 <b>by </b><i><a class="ref" href="waybel_0.html#D38">WAYBEL_0:def 38</a></i>;<br/>


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