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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: WAYBEL20:42</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_3.html#V3" title="WAYBEL_3:attr.3">continuous</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a><br/>  for <font color="Olive" title="b2">R</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1"><a href="yellow_3.html#K3" title="YELLOW_3:func.3">[:</a><span class="default"><font color="Olive" title="b1">L</font>,<font color="Olive" title="b1">L</font></span><a href="yellow_3.html#K3" title="YELLOW_3:func.3">:]</a></span>  st <font color="Olive" title="b2">R</font> is  <a href="waybel20.html#V1" title="WAYBEL20:attr.1">CLCongruence</a>  holds <br/><font color="Olive" title="b2">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel20.html#K4" title="WAYBEL20:func.4">kernel_congruence</a> <span class="p1">(<span class="default"><a href="waybel20.html#K3" title="WAYBEL20:func.3">kernel_op</a> <font color="Olive" title="b2">R</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="waybel20.html#T36" target="_self" onmouseover="rs('waybel20/T36')" onmouseout="rh()">Th36</a></span>;<br/></div></div>
