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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: WAYBEL34:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font>, <font color="Olive" title="b3">L3</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="b4">d1</font> being   <a href="waybel_0.html#V18" title="WAYBEL_0:attr.18">sups-preserving</a>  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">L1</font>,<font color="Olive" title="b2">L2</font><br/>  for <font color="Olive" title="b5">d2</font> being   <a href="waybel_0.html#V18" title="WAYBEL_0:attr.18">sups-preserving</a>  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b2">L2</font>,<font color="Olive" title="b3">L3</font> holds   <a href="waybel34.html#K2" title="WAYBEL34:func.2">UpperAdj</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">d2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b4">d1</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><a href="waybel34.html#K2" title="WAYBEL34:func.2">UpperAdj</a> <font color="Olive" title="b4">d1</font></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="waybel34.html#K2" title="WAYBEL34:func.2">UpperAdj</a> <font color="Olive" title="b5">d2</font></span>)</span></div></div>
