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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: WAYBEL27:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</font>, <font color="Olive" title="b3">T1</font>, <font color="Olive" title="b4">T2</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><br/>  for <font color="Olive" title="b5">f</font> being   <a href="waybel_0.html#V22" title="WAYBEL_0:attr.22">directed-sups-preserving</a>  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">S1</font>,<font color="Olive" title="b2">S2</font><br/>  for <font color="Olive" title="b6">g</font> being   <a href="waybel_0.html#V22" title="WAYBEL_0:attr.22">directed-sups-preserving</a>  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b3">T1</font>,<font color="Olive" title="b4">T2</font> holds   <a href="waybel27.html#K4" title="WAYBEL27:func.4">UPS</a> (<font color="Olive" title="b5">f</font>,<font color="Olive" title="b6">g</font>) is  <a href="waybel_0.html#V22" title="WAYBEL_0:attr.22">directed-sups-preserving</a> </div></div>
