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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E42">Th58</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: ORDERS_5:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">D</font> being    <a href="eqrel_1.html#M1" title="EQREL_1:mode.1">a_partition</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">f</font> being   <a href="pre_poly.html#V2" title="PRE_POLY:attr.2">finite-support</a>  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">A</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b3">f</font> is  <a href="partfun3.html#V3" title="PARTFUN3:attr.3">nonpositive-yielding</a>  holds <br/><font color="Olive" title="b2">D</font> <a href="orders_5.html#K10" title="ORDERS_5:func.10">eqSumOf</a> <font color="Olive" title="b3">f</font> is  <a href="partfun3.html#V3" title="PARTFUN3:attr.3">nonpositive-yielding</a> </div></div>
