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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th17</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: MESFUN12:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">er</font> being   <a href="xxreal_0.html#NM1" title="XXREAL_0:NM.1">ExtReal</a> holds <br/> ( ( <font color="Olive" title="b3">er</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  implies  <a href="mesfun12.html#K1" title="MESFUN12:func.1">chi</a> (<font color="Olive" title="b3">er</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b1">X</font>) is  <a href="supinf_2.html#V6" title="SUPINF_2:attr.6">nonnegative</a>  ) &amp; ( <font color="Olive" title="b3">er</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  implies  <a href="mesfun12.html#K1" title="MESFUN12:func.1">chi</a> (<font color="Olive" title="b3">er</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b1">X</font>) is  <a href="mesfunc5.html#V2" title="MESFUNC5:attr.2">nonpositive</a>  ) )</div></div>
