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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E15">Def6</font></span>   defines <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a> <a onclick="hs(this)" href="javascript:()">WAYBEL_3:def 6 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</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">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> holds <br/> (  not  <a href="waybel_3.html#K1" title="WAYBEL_3:func.1">waybelow</a> <font color="Olive" title="b2">x</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  <a href="waybel_3.html#K1" title="WAYBEL_3:func.1">waybelow</a> <font color="Olive" title="b2">x</font> is  <a href="waybel_0.html#V1" title="WAYBEL_0:attr.1">directed</a>  ) ) &amp; <font color="Olive" title="b1">L</font> is  <a href="waybel_0.html#V24" title="WAYBEL_0:attr.24">up-complete</a>  &amp; <font color="Olive" title="b1">L</font> is  <a href="waybel_3.html#V2" title="WAYBEL_3:attr.2">satisfying_axiom_of_approximation</a>  ) );<br/></span></div>
