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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/><b>let </b><font color="Maroon">a</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>, <font color="Maroon">b</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>, <font color="Maroon">c</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">a'</font> = <font color="Maroon">a</font>, <font color="Maroon">b'</font> = <font color="Maroon">b</font>, <font color="Maroon">c'</font> = <font color="Maroon">c</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>set </b><font color="Maroon">G</font> =  <a href="substlat.html#K5" target="_self">SubstLatt</a> <font color="Maroon">V</font>,<font color="Maroon">C</font>;<br/>
<font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">c</font></span>)</span> = 
the <a href="lattices.html#U2">L_join</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> <a href="binop_1.html#K1">.</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="substlat.html#K3" target="_self">mi</a> <span class="p2">(<span class="default"><font color="Maroon">b'</font> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">c'</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="substlat.html#K3" target="_self">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substlat.html#K3" target="_self">mi</a> <span class="p3">(<span class="default"><font color="Maroon">b'</font> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">c'</font></span>)</span></span>)</span> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">a'</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">a'</font> <a href="finsub_1.html#K1">\/</a> <span class="p2">(<span class="default"><font color="Maroon">b'</font> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">c'</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="substlat.html#K3" target="_self">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a'</font> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">b'</font></span>)</span> <a href="finsub_1.html#K1">\/</a> <font color="Maroon">c'</font></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T4">XBOOLE_1:4</a></i>
<br/>.= 
 <a href="substlat.html#K3" target="_self">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substlat.html#K3" target="_self">mi</a> <span class="p3">(<span class="default"><font color="Maroon">a'</font> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">b'</font></span>)</span></span>)</span> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">c'</font></span>)</span>
<b>by </b><i/>
<br/>.= 
the <a href="lattices.html#U2">L_join</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> <a href="binop_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="substlat.html#K3" target="_self">mi</a> <span class="p2">(<span class="default"><font color="Maroon">a'</font> <a href="substlat.html#K2" target="_self">\/</a> <font color="Maroon">b'</font></span>)</span></span>)</span>,<font color="Maroon">c'</font>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">c</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E3:42"/>
<font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">c</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">c</font>
 ;<br/>


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