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<b>let </b><font color="Maroon" title="c1">G</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a> <a href="lattices.html#V5" title="LATTICES:attr.5">join-associative</a> <a href="robbins1.html#V4" title="ROBBINS1:attr.4">Robbins</a>  <a href="robbins1.html#L2" title="ROBBINS1:struct.2">ComplLattStr</a> ;<br/><b>let </b><font color="Maroon" title="c2">x</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font>;<br/>



<font color="Maroon" title="c2">x</font> <a href="robbins1.html#K11" title="ROBBINS1:func.11">_0</a>  = 
 <a href="robbins1.html#K10" title="ROBBINS1:func.10">Expand</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K16" title="ROBBINS1:func.16">_4</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K11" title="ROBBINS1:func.11">_0</a> </span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T37" target="_self" title="ROBBINS1:th.37">Th37</a></i>
<br/>.= 
 <a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K16" title="ROBBINS1:func.16">_4</a> </span>)</span> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K11" title="ROBBINS1:func.11">_0</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K16" title="ROBBINS1:func.16">_4</a> </span>)</span>,<span class="p2">(<span class="default"><a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> </span>)</span>,<font color="Maroon" title="c2">x</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T50" target="_self" title="ROBBINS1:th.50">Th50</a></i>
<br/>.= 
 <a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> </span>)</span> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K13" title="ROBBINS1:func.13">_1</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K16" title="ROBBINS1:func.16">_4</a> </span>)</span>,<span class="p2">(<span class="default"><a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> </span>)</span>,<font color="Maroon" title="c2">x</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T44" target="_self" title="ROBBINS1:th.44">Th44</a></i>
<br/>.= 
 <a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> </span>)</span> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K13" title="ROBBINS1:func.13">_1</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="robbins1.html#K10" title="ROBBINS1:func.10">Expand</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> </span>)</span>,<font color="Maroon" title="c2">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T46" target="_self" title="ROBBINS1:th.46">Th46</a></i>
<br/>.= 
 <a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> </span>)</span> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K13" title="ROBBINS1:func.13">_1</a> </span>)</span></span>)</span>,<font color="Maroon" title="c2">x</font>
<b>by </b><i><a class="ref" href="robbins1.html#T37" target="_self" title="ROBBINS1:th.37">Th37</a></i>
;<br/>
<b>hence </b><a NAME="E2:88"/>
 <a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K13" title="ROBBINS1:func.13">_1</a> </span>)</span> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> </span>)</span></span>)</span>,<font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="robbins1.html#K11" title="ROBBINS1:func.11">_0</a> 
 ;<br/>


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