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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: YELLOW13:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">N</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">N</font> holds  <font color="Olive" title="b2">x</font> <a href="waybel_1.html#K4" title="WAYBEL_1:func.4">"/\"</a>  is  <a href="waybel_0.html#V19" title="WAYBEL_0:attr.19">meet-preserving</a> </div></div>
