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<div><b>hereby </b> <i><font color="Red">:: according to </font></i><a class="ref" href="lattices.html#D7">LATTICES:def 7</a>
<div class="add"><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="robbins1.html#K8" target="_self">CLatt</a> <font color="Maroon">L</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="robbins1.html#K8" target="_self">CLatt</a> <font color="Maroon">L</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="robbins1.html#K8" target="_self">CLatt</a> <font color="Maroon">L</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="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> <b>by </b><i><a class="ref" href="robbins1.html#T7" target="_self">Th7</a></i>;<br/><a NAME="E2:67_1_1_1"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">a'</font> <a href="robbins1.html#K6" target="_self">*'</a> <font color="Maroon">b'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">b</font> &amp; <font color="Maroon">b'</font> <a href="robbins1.html#K6" target="_self">*'</a> <font color="Maroon">c'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">c</font> )
 <b>by </b><i><a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>;<br/><b>hence </b><span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon">a'</font> <a href="robbins1.html#K6" target="_self">*'</a> <font color="Maroon">b'</font></span>)</span> <a href="robbins1.html#K6" target="_self">*'</a> <font color="Maroon">c'</font>
<b>by </b><i><a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>
<br/>.= 
<font color="Maroon">a'</font> <a href="robbins1.html#K6" target="_self">*'</a> <span class="p1">(<span class="default"><font color="Maroon">b'</font> <a href="robbins1.html#K6" target="_self">*'</a> <font color="Maroon">c'</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#D7" target="_self">Def7</a></i>
<br/>.= 
<font color="Maroon">a</font> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">c</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#D9" target="_self">Def9</a>, <a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>
;<br/><br/></div>
<b>end;</b></div>

<div><b>hereby </b> <i><font color="Red">:: according to </font></i><a class="ref" href="lattices.html#D9">LATTICES:def 9</a>
<div class="add"><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="robbins1.html#K8" target="_self">CLatt</a> <font color="Maroon">L</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="robbins1.html#K8" target="_self">CLatt</a> <font color="Maroon">L</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> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> <b>by </b><i><a class="ref" href="robbins1.html#T7" target="_self">Th7</a></i>;<br/><a NAME="E2:67_1_1_2"/>
<font color="Maroon">a'</font> <a href="robbins1.html#K5" target="_self">+</a> <font color="Maroon">b'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>;<br/><b>hence </b><font color="Maroon">a</font> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">b</font></span>)</span> = 
<font color="Maroon">a'</font> <a href="robbins1.html#K6" target="_self">*'</a> <span class="p1">(<span class="default"><font color="Maroon">a'</font> <a href="robbins1.html#K5" target="_self">+</a> <font color="Maroon">b'</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i/>
;<br/><br/></div>
<b>end;</b></div>

<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="robbins1.html#K8" target="_self">CLatt</a> <font color="Maroon">L</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="robbins1.html#K8" target="_self">CLatt</a> <font color="Maroon">L</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="lattices.html#D8">LATTICES:def 8</a><br/>

<b>reconsider </b><font color="Maroon">a'</font> = <font color="Maroon">a</font>, <font color="Maroon">b'</font> = <font color="Maroon">b</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> <b>by </b><i><a class="ref" href="robbins1.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E4:67_1_1"/>
<font color="Maroon">a'</font> <a href="robbins1.html#K6" target="_self">*'</a> <font color="Maroon">b'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">b</font>
 
<b>by </b><i><a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon">a'</font> <a href="robbins1.html#K6" target="_self">*'</a> <font color="Maroon">b'</font></span>)</span> <a href="robbins1.html#K5" target="_self">+</a> <font color="Maroon">b'</font>
<b>by </b><i><a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>
<br/>.= 
<font color="Maroon">b</font>
<b>by </b><i><a class="ref" href="robbins1.html#T1" target="_self">Th1</a></i>
;<br/><br/>


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