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<b>let </b><font color="Maroon" title="c1">G</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">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>consider </b><font color="Maroon" title="c2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font>;<br/>
<b>take </b><font color="Maroon" title="c3">y</font> = <font color="Maroon" title="c2">x</font> <a href="robbins1.html#K13" title="ROBBINS1:func.13">_1</a> ;<br/>

<b>take </b><font color="Maroon" title="c4">z</font> = <font color="Maroon" title="c2">x</font> <a href="robbins1.html#K15" title="ROBBINS1:func.15">_3</a> ;<br/>

 <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">y</font> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <font color="Maroon" title="c4">z</font></span>)</span> = 
 <a href="robbins1.html#K9" title="ROBBINS1:func.9">\delta</a> <span class="p1">(<span class="default"><a href="robbins1.html#K17" title="ROBBINS1:func.17">\beta</a> <font color="Maroon" title="c2">x</font></span>)</span>,<font color="Maroon" title="c2">x</font>
<b>by </b><i><a class="ref" href="robbins1.html#T55" target="_self" title="ROBBINS1:th.55">Th55</a></i>
<br/>.= 
 <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <font color="Maroon" title="c4">z</font>
<b>by </b><i><a class="ref" href="robbins1.html#T54" target="_self" title="ROBBINS1:th.54">Th54</a></i>
;<br/>
<b>hence </b><a NAME="E3:94"/>
 <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">y</font> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <font color="Maroon" title="c4">z</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <font color="Maroon" title="c4">z</font>
 ;<br/>


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