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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: WELLFND1:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  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">R</font>  st  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b1">R</font> <a href="wellord1.html#K1" title="WELLORD1:func.1">-Seg</a> <font color="Olive" title="b2">x</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="wellfnd1.html#K1" title="WELLFND1:func.1">well_founded-Part</a> <font color="Olive" title="b1">R</font> holds <br/><font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="wellfnd1.html#K1" title="WELLFND1:func.1">well_founded-Part</a> <font color="Olive" title="b1">R</font></div></div>
