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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">LM090</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: PRSUBSET:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive" title="b2">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b1">x</font> is  <a href="partfun3.html#V1" title="PARTFUN3:attr.1">positive</a>  &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">i</font> &amp; <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">x</font> holds <br/>( <font color="Olive" title="b1">x</font> <a href="finseq_1.html#K16" title="FINSEQ_1:func.16">|</a> <font color="Olive" title="b2">i</font> is  <a href="partfun3.html#V1" title="PARTFUN3:attr.1">positive</a>  &amp; <font color="Olive" title="b1">x</font> <a href="finseq_1.html#K16" title="FINSEQ_1:func.16">|</a> <font color="Olive" title="b2">i</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )</div></div>
