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<b>let </b><font color="Maroon">G</font> be  non <a href="struct_0.html#V3">empty</a> <a href="lattices.html#V4">join-commutative</a> <a href="lattices.html#V5">join-associative</a> <a href="robbins1.html#V4" target="_self">Robbins</a>  <a href="robbins1.html#L2" target="_self">ComplLattStr</a> ;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/>



<font color="Maroon">x</font> <a href="robbins1.html#K11" target="_self">_0</a>  = 
 <a href="robbins1.html#K10" target="_self">Expand</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K16" target="_self">_4</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K11" target="_self">_0</a> </span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T10" target="_self">Th10</a></i>
<br/>.= 
 <a href="robbins1.html#K9" target="_self">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K16" target="_self">_4</a> </span>)</span> <a href="robbins1.html#K5" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K11" target="_self">_0</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="robbins1.html#K9" target="_self">\delta</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K16" target="_self">_4</a> </span>)</span>,<span class="p2">(<span class="default"><a href="robbins1.html#K9" target="_self">\delta</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K15" target="_self">_3</a> </span>)</span>,<font color="Maroon">x</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T18" target="_self">Th18</a></i>
<br/>.= 
 <a href="robbins1.html#K9" target="_self">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K15" target="_self">_3</a> </span>)</span> <a href="robbins1.html#K5" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K13" target="_self">_1</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="robbins1.html#K9" target="_self">\delta</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K16" target="_self">_4</a> </span>)</span>,<span class="p2">(<span class="default"><a href="robbins1.html#K9" target="_self">\delta</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K15" target="_self">_3</a> </span>)</span>,<font color="Maroon">x</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="robbins1.html#K9" target="_self">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K15" target="_self">_3</a> </span>)</span> <a href="robbins1.html#K5" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K13" target="_self">_1</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="robbins1.html#K10" target="_self">Expand</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K15" target="_self">_3</a> </span>)</span>,<font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T14" target="_self">Th14</a></i>
<br/>.= 
 <a href="robbins1.html#K9" target="_self">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K15" target="_self">_3</a> </span>)</span> <a href="robbins1.html#K5" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K13" target="_self">_1</a> </span>)</span></span>)</span>,<font color="Maroon">x</font>
<b>by </b><i><a class="ref" href="robbins1.html#T10" target="_self">Th10</a></i>
;<br/>
<b>hence </b><a NAME="E2:88"/>
 <a href="robbins1.html#K9" target="_self">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K13" target="_self">_1</a> </span>)</span> <a href="robbins1.html#K5" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K15" target="_self">_3</a> </span>)</span></span>)</span>,<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="robbins1.html#K11" target="_self">_0</a> 
 ;<br/>


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