<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">S</font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_0.html#NM8">LATTICE</a>, <font color="Maroon">T</font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_0.html#NM8">LATTICE</a>;<br/><b>let </b><font color="Maroon">d</font> be  <a href="waybel_0.html#V18">sups-preserving</a> <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">S</font>,<font color="Maroon">T</font>;<br/>



<a NAME="E1:15"/>
<span class="p1"><a href="waybel_1.html#K1">[</a><span class="default"><span class="p2">(<span class="default"><a href="waybel34.html#K2" target="_self">UpperAdj</a> <font color="Maroon">d</font></span>)</span>,<font color="Maroon">d</font></span><a href="waybel_1.html#K1">]</a></span> is <a href="waybel_1.html#V3">Galois</a>
 
<b>by </b><i/>;<br/>
<a NAME="E2:15"/><b>then </b>
<span class="p1"><a href="waybel_1.html#K1">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">d</font> <a href="waybel34.html#K3" target="_self">opp</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="waybel34.html#K2" target="_self">UpperAdj</a> <font color="Maroon">d</font></span>)</span> <a href="waybel34.html#K3" target="_self">opp</a> </span>)</span></span><a href="waybel_1.html#K1">]</a></span> is <a href="waybel_1.html#V3">Galois</a>
 
<b>by </b><i><a class="ref" href="yellow_7.html#T44">YELLOW_7:44</a></i>;<br/>
<b>hence </b><a NAME="E3:15"/>
 <a href="waybel34.html#K1" target="_self">LowerAdj</a> <span class="p1">(<span class="default"><font color="Maroon">d</font> <a href="waybel34.html#K3" target="_self">opp</a> </span>)</span> <a href="funct_2.html#R1">=</a>  <a href="waybel34.html#K2" target="_self">UpperAdj</a> <font color="Maroon">d</font>
 <b>by </b><i/>;<br/>


</div>
