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<span class="kw">let </span><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> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">x</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font> holds   <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="Olive" title="b1">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="Olive" title="b1">x</font> <a href="robbins1.html#K14" title="ROBBINS1:func.14">_2</a> </span>)</span></span>)</span>,<font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">x</font> <a href="robbins1.html#K11" title="ROBBINS1:func.11">_0</a> </span><br/><span class="kw">let </span><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>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <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#K14" title="ROBBINS1:func.14">_2</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> </span><br/>



<span class="kw">thus </span><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#K15" title="ROBBINS1:func.15">_3</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>
<span class="kw">by</span> <span class="lab"><a class="ref" href="robbins1.html#T37" target="_self" title="ROBBINS1:th.37">Th37</a></span>
<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#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#K14" title="ROBBINS1:func.14">_2</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#K15" title="ROBBINS1:func.15">_3</a> </span>)</span>,<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="kw">by</span> <span class="lab"><a class="ref" href="robbins1.html#T45" target="_self" title="ROBBINS1:th.45">Th45</a></span>
<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#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#K14" title="ROBBINS1:func.14">_2</a> </span>)</span></span>)</span>,<font color="Maroon" title="c2">x</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="robbins1.html#T47" target="_self" title="ROBBINS1:th.47">Th47</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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