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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E59">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: WAYBEL_4:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a> holds <br/> ( <font color="Olive" title="b1">L</font> is  <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a>  iff  for <font color="Olive" title="b2">R</font> being   <a href="waybel_4.html#V5" title="WAYBEL_4:attr.5">auxiliary</a>   <a href="waybel_4.html#V6" title="WAYBEL_4:attr.6">approximating</a>  <a href="alg_1.html#NM1" title="ALG_1:NM.1">Relation</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b1">L</font> <a href="waybel_4.html#K1" title="WAYBEL_4:func.1">-waybelow</a>  <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b2">R</font> &amp; <font color="Olive" title="b1">L</font> <a href="waybel_4.html#K1" title="WAYBEL_4:func.1">-waybelow</a>  is  <a href="waybel_4.html#V6" title="WAYBEL_4:attr.6">approximating</a>  ) )</div></div>
