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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: YELLOW21:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="yellow_0.html#V2" title="YELLOW_0:attr.2">upper-bounded</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a>  st  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b1">P</font> is  <a href="wellord1.html#V2" title="WELLORD1:attr.2">well-ordering</a>  holds <br/>( <font color="Olive" title="b1">P</font> is  <a href="waybel_0.html#V16" title="WAYBEL_0:attr.16">connected</a>  &amp; <font color="Olive" title="b1">P</font> is  <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  &amp; <font color="Olive" title="b1">P</font> is  <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a>  )</div></div>
