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<b>set </b><font color="Maroon" title="c1">V</font> = <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="abcmiz_1.html#K1" title="ABCMIZ_1:func.1">varcl</a> <font color="Olive" title="b1">A</font></span>)</span> where <font color="Olive" title="b1">A</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="abcmiz_1.html#K2" title="ABCMIZ_1:func.2">Vars</a>  : verum </span>}</span> ;<br/>
<a NAME="E1:205"/>
 <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <a href="abcmiz_1.html#K2" title="ABCMIZ_1:func.2">Vars</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="abcmiz_1.html#K1" title="ABCMIZ_1:func.1">varcl</a> <font color="Olive" title="b1">A</font></span>)</span> where <font color="Olive" title="b1">A</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="abcmiz_1.html#K2" title="ABCMIZ_1:func.2">Vars</a>  : verum </span>}</span> 
 
<b>by </b><i><a class="ref" href="abcmiz_1.html#T8" target="_self" title="ABCMIZ_1:th.8">Th11</a></i>;<br/>
<a NAME="E2:205"/><b>then </b>
( <a href="abcmiz_1.html#K49" title="ABCMIZ_1:func.49">VarPoset</a>  <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="yellow_0.html#V1" title="YELLOW_0:attr.1">lower-bounded</a> &amp; <span class="p1">(<span class="default"><a href="yellow_0.html#K3" title="YELLOW_0:func.3">Bottom</a> <span class="p2">(<span class="default"><a href="yellow_1.html#K2" title="YELLOW_1:func.2">InclPoset</a> <span class="p3">{<span class="default"> <span class="p4">(<span class="default"><a href="abcmiz_1.html#K1" title="ABCMIZ_1:func.1">varcl</a> <font color="Olive" title="b1">A</font></span>)</span> where <font color="Olive" title="b1">A</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="abcmiz_1.html#K2" title="ABCMIZ_1:func.2">Vars</a>  : verum </span>}</span> </span>)</span></span>)</span> <a href="lattice3.html#K8" title="LATTICE3:func.8">~</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <a href="abcmiz_1.html#K49" title="ABCMIZ_1:func.49">VarPoset</a>  <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_1.html#K2" title="YELLOW_1:func.2">InclPoset</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="abcmiz_1.html#K1" title="ABCMIZ_1:func.1">varcl</a> <font color="Olive" title="b1">A</font></span>)</span> where <font color="Olive" title="b1">A</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="abcmiz_1.html#K2" title="ABCMIZ_1:func.2">Vars</a>  : verum </span>}</span>  )
 
<b>by </b><i><a class="ref" href="yellow_1.html#T13" title="YELLOW_1:th.13">YELLOW_1:13</a>, <a class="ref" href="yellow_7.html#T31" title="YELLOW_7:th.31">YELLOW_7:31</a></i>;<br/>
<b>hence </b><a NAME="E3:205"/>
 <a href="yellow_0.html#K4" title="YELLOW_0:func.4">Top</a> <a href="abcmiz_1.html#K49" title="ABCMIZ_1:func.49">VarPoset</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 <b>by </b><i><a class="ref" href="yellow_7.html#T33" title="YELLOW_7:th.33">YELLOW_7:33</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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