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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: ROBBINS1:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   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#V6" title="ROBBINS1:attr.6">Huntington</a>   <a href="robbins1.html#V7" title="ROBBINS1:attr.7">join-idempotent</a>   <a href="robbins1.html#L2" title="ROBBINS1:struct.2">ComplLLattStr</a>  holds <br/> ( <span class="p1">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Olive" title="b1">L</font></span>)</span> <a href="robbins1.html#K3" title="ROBBINS1:func.3">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="robbins1.html#K7" title="ROBBINS1:func.7">Bot</a> <font color="Olive" title="b1">L</font> &amp;  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Olive" title="b1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="robbins1.html#K7" title="ROBBINS1:func.7">Bot</a> <font color="Olive" title="b1">L</font></span>)</span> <a href="robbins1.html#K3" title="ROBBINS1:func.3">`</a>  )</div></div>
