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

<b>set </b><font color="Maroon">G</font> =  <a href="normform.html#K12" target="_self">NormForm</a> <font color="Maroon">A</font>;<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="normform.html#K12" target="_self">NormForm</a> <font color="Maroon">A</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="normform.html#K12" target="_self">NormForm</a> <font color="Maroon">A</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="normform.html#K12" target="_self">NormForm</a> <font color="Maroon">A</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="normform.html#K8" target="_self">Normal_forms_on</a> <font color="Maroon">A</font> <b>by </b><i/>;<br/>
<font color="Maroon">a</font> <a href="lattices.html#K2">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lattices.html#K2">"/\"</a> <font color="Maroon">c</font></span>)</span> = 
the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><a href="normform.html#K12" target="_self">NormForm</a> <font color="Maroon">A</font></span>)</span> <a href="binop_1.html#K1">.</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="normform.html#K9" target="_self">mi</a> <span class="p2">(<span class="default"><font color="Maroon">b'</font> <a href="normform.html#K10" target="_self">^</a> <font color="Maroon">c'</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="normform.html#K9" target="_self">mi</a> <span class="p1">(<span class="default"><font color="Maroon">a'</font> <a href="normform.html#K10" target="_self">^</a> <span class="p2">(<span class="default"><a href="normform.html#K9" target="_self">mi</a> <span class="p3">(<span class="default"><font color="Maroon">b'</font> <a href="normform.html#K10" target="_self">^</a> <font color="Maroon">c'</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="normform.html#K9" target="_self">mi</a> <span class="p1">(<span class="default"><font color="Maroon">a'</font> <a href="normform.html#K10" target="_self">^</a> <span class="p2">(<span class="default"><font color="Maroon">b'</font> <a href="normform.html#K10" target="_self">^</a> <font color="Maroon">c'</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="normform.html#K9" target="_self">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a'</font> <a href="normform.html#K10" target="_self">^</a> <font color="Maroon">b'</font></span>)</span> <a href="normform.html#K10" target="_self">^</a> <font color="Maroon">c'</font></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="normform.html#K9" target="_self">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="normform.html#K9" target="_self">mi</a> <span class="p3">(<span class="default"><font color="Maroon">a'</font> <a href="normform.html#K10" target="_self">^</a> <font color="Maroon">b'</font></span>)</span></span>)</span> <a href="normform.html#K10" target="_self">^</a> <font color="Maroon">c'</font></span>)</span>
<b>by </b><i/>
<br/>.= 
the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><a href="normform.html#K12" target="_self">NormForm</a> <font color="Maroon">A</font></span>)</span> <a href="binop_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="normform.html#K9" target="_self">mi</a> <span class="p2">(<span class="default"><font color="Maroon">a'</font> <a href="normform.html#K10" 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#K2">"/\"</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K2">"/\"</a> <font color="Maroon">c</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E3:73"/>
<font color="Maroon">a</font> <a href="lattices.html#K2">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lattices.html#K2">"/\"</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#K2">"/\"</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K2">"/\"</a> <font color="Maroon">c</font>
 ;<br/>


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