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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">LM100</font></span>: <a NAME="T6"><span class="comment"><font color="firebrick">:: PRSUBSET:6</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="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">x</font> is  <a href="partfun3.html#V1" title="PARTFUN3:attr.1">positive</a>  &amp; <font color="Olive" title="b2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">x</font> &amp; <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>  holds <br/>(  <a href="prsubset.html#K1" title="PRSUBSET:func.1">Seq</a> (<font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">I</font>) is  <a href="partfun3.html#V1" title="PARTFUN3:attr.1">positive</a>  &amp;  <a href="prsubset.html#K1" title="PRSUBSET:func.1">Seq</a> (<font color="Olive" title="b1">x</font>,<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>
