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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E58">Th82</font></span>: <a NAME="T70"><span class="comment"><font color="firebrick">:: ORDERS_5:70</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">s</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b4">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font>  st <font color="Olive" title="b2">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> &amp; <font color="Olive" title="b3">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span> holds <br/>( <font color="Olive" title="b3">s</font> is <font color="Olive" title="b2">B</font> <a href="orders_5.html#V10" title="ORDERS_5:attr.10">-asc_ordering</a>  &amp; <font color="Olive" title="b3">s</font> is <font color="Olive" title="b2">B</font> <a href="orders_5.html#V11" title="ORDERS_5:attr.11">-desc_ordering</a>  )</div></div>
