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<b>let </b><font color="Maroon" title="c1">L</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="robbins1.html#L2" title="ROBBINS1:struct.2">ComplLattStr</a> ;<br/>

<b>assume </b><a NAME="E1:36_1_1"/>
( <font color="Maroon" title="c1">L</font> is <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a> &amp; <font color="Maroon" title="c1">L</font> is <a href="lattices.html#V5" title="LATTICES:attr.5">join-associative</a> &amp; <font color="Maroon" title="c1">L</font> is <a href="robbins1.html#V5" title="ROBBINS1:attr.5">Huntington</a> )
 ;<br/>

<a NAME="E2:36_1_1"/><b>then </b>
for <font color="Olive" title="b1">a</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font> holds  <font color="Olive" title="b1">a</font> <a href="robbins1.html#NK4" title="ROBBINS1:NK.4">+</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font>
 
<b>by </b><i><a class="ref" href="robbins1.html#T13" target="_self" title="ROBBINS1:th.13">Th13</a></i>;<br/>
<b>hence </b><a NAME="E3:36_1_1"/>
<font color="Maroon" title="c1">L</font> is <a href="robbins1.html#V6" title="ROBBINS1:attr.6">join-idempotent</a>
 <b>by </b><i><a class="ref" href="robbins1.html#D7" target="_self" title="ROBBINS1:def.7">Def7</a></i>;<br/>


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