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<b>let </b><font color="Maroon">V</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">C</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<a NAME="E1:52"/>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R2">in</a>  <a href="substlat.html#K1" target="_self">SubstitutionSet</a> <font color="Maroon">V</font>,<font color="Maroon">C</font>
 
<b>by </b><i/>;<br/>
<b>then reconsider </b><font color="Maroon">Z</font> = <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="substlat.html#K5" target="_self">SubstLatt</a> <font color="Maroon">V</font>,<font color="Maroon">C</font></span>)</span> <b>by </b><i/>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="52_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">u</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="substlat.html#K5" target="_self">SubstLatt</a> <font color="Maroon">V</font>,<font color="Maroon">C</font></span>)</span>;<br/><b>reconsider </b><font color="Maroon">z</font> = <font color="Maroon">Z</font>, <font color="Maroon">u'</font> = <font color="Maroon">u</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="substlat.html#K1" target="_self">SubstitutionSet</a> <font color="Maroon">V</font>,<font color="Maroon">C</font> <b>by </b><i/>;<br/><b>thus </b><font color="Maroon">Z</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">u</font> = 
 <a href="substlat.html#K3" target="_self">mi</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="substlat.html#K4" target="_self">^</a> <font color="Maroon">u'</font></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="substlat.html#K3" target="_self">mi</a> <span class="p1">(<span class="default"><font color="Maroon">u'</font> <a href="substlat.html#K4" target="_self">^</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="substlat.html#K3" target="_self">mi</a> <font color="Maroon">u'</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">u</font>
<b>by </b><i/>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:52"/>
 <a href="lattices.html#K6">Top</a> <span class="p1">(<span class="default"><a href="substlat.html#K5" target="_self">SubstLatt</a> <font color="Maroon">V</font>,<font color="Maroon">C</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="lattice2.html#T24">LATTICE2:24</a></i>;<br/>


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