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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#L2">ComplLattStr</a> ;<br/>

<b>assume </b><a NAME="E1:60"/><i><font color="Green">E75</font></i>: 
( <font color="Maroon">L</font> is <a href="lattices.html#V4">join-commutative</a> &amp; <font color="Maroon">L</font> is <a href="lattices.html#V5">join-associative</a> &amp; <font color="Maroon">L</font> is <a href="robbins1.html#V4">Robbins</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">L'</font> = <font color="Maroon">L</font> as  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">Robbins</a>  <a href="robbins1.html#L2">ComplLattStr</a>  ;<br/>
<a NAME="E3:60"/><i><font color="Green">E76</font></i>: 
<font color="Maroon">L'</font> is <a href="robbins1.html#V5">Huntington</a>
 
;<br/>
<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">z</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">u</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="robbins2.html#D1" target="_self">ROBBINS2:def 1</a><br/>

<i><font color="Green">E77</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">z</font> = 
<span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">z</font>
<b>by </b><i><a class="ref" href="robbins2.html#T44" target="_self">Th44</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<font color="Maroon">z</font> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T44" target="_self">Th44</a>, <a class="ref" href="robbins1.html#T8">ROBBINS1:8</a></i>
<br/>.= 
<font color="Maroon">z</font>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T22">ROBBINS1:22</a></i>
;<br/>
<a NAME="E5:60"/><i><font color="Green">E78</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">z</font>
 
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins2.html#T42" target="_self">Th42</a></i>;<br/>
<i><font color="Green">E79</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font> = 
<font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T44" target="_self">Th44</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T32">ROBBINS1:32</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="lattices.html#D5">LATTICES:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T13">ROBBINS1:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p5">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T18">ROBBINS1:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T32">ROBBINS1:32</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T8">ROBBINS1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T17">ROBBINS1:17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<font color="Maroon">z</font> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins2.html#T47" target="_self">Th47</a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a></i>
<br/>.= 
<font color="Maroon">z</font>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T22">ROBBINS1:22</a></i>
;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> 
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T18">ROBBINS1:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T18">ROBBINS1:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T18">ROBBINS1:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K4">*'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T22">ROBBINS1:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T31">ROBBINS1:31</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T18">ROBBINS1:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">x</font></span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K4">*'</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>
<br/>.= 
<font color="Maroon">z</font>
<b>by </b><i><a class="ref" href="robbins2.html#T45" target="_self">Th45</a>, <a class="ref" href="robbins2.html#T46" target="_self">Th46</a>, <a class="ref" href="robbins2.html#T48" target="_self">Th48</a>, <a class="ref" href="robbins1.html#T18">ROBBINS1:18</a></i>
;<br/>
<b>hence </b><a NAME="E8:60"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">y</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">u</font></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">z</font>
 ;<br/>


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