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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="robbins1.html#L3" target="_self">OrthoLattStr</a> ;<br/>

<b>assume </b><a NAME="E1:108_1_1"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">L</font> is <a href="lattices.html#V5">join-associative</a> &amp; <font color="Maroon">L</font> is <a href="lattices.html#V4">join-commutative</a> &amp; <font color="Maroon">L</font> is <a href="robbins1.html#V9" target="_self">de_Morgan</a> )
 ;<br/>

<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="lattices.html#D6">LATTICES:def 6</a><br/>

<b>thus </b><font color="Maroon">a</font> <a href="lattices.html#K2">"/\"</a> <font color="Maroon">b</font> = 
<font color="Maroon">a</font> <a href="robbins1.html#K4" target="_self">*'</a> <font color="Maroon">b</font>
<b>by </b><i><a class="ref" href="robbins1.html#T26" target="_self">Th26</a>, </i>
<br/>.= 
<font color="Maroon">b</font> <a href="robbins1.html#K4" target="_self">*'</a> <font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="robbins1.html#T26" target="_self">Th26</a>, </i>
<br/>.= 
<font color="Maroon">b</font> <a href="lattices.html#K2">"/\"</a> <font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="robbins1.html#T26" target="_self">Th26</a>, </i>
;<br/>


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