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<b>let </b><font color="Maroon" title="c1">L</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="robbins2.html#V1" title="ROBBINS2:attr.1">satisfying_DN_1</a>  <a href="robbins1.html#L2" title="ROBBINS1:struct.2">ComplLattStr</a> ;<br/>

<a NAME="E1:31"/>
for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</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">x</font> <a href="robbins1.html#NK4" title="ROBBINS1:NK.4">+</a> <font color="Olive" title="b2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="robbins1.html#NK4" title="ROBBINS1:NK.4">+</a> <font color="Olive" title="b1">x</font>
 
<b>by </b><i><a class="ref" href="robbins2.html#T27" target="_self" title="ROBBINS2:th.27">Th27</a></i>;<br/>
<b>hence </b><a NAME="E2:31"/>
<font color="Maroon" title="c1">L</font> is <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a>
 <b>by </b><i><a class="ref" href="lattices.html#D4" title="LATTICES:def.4">LATTICES:def 4</a></i>;<br/>


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