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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E47">Th65</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: ORDERS_5:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="orders_5.html#NM1" title="ORDERS_5:NM.1">Preorder</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="pre_poly.html#V2" title="PRE_POLY:attr.2">finite-support</a>  <a href="struct_0.html#NM4" title="STRUCT_0:NM.4">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="b2">f</font> is  <a href="partfun3.html#V4" title="PARTFUN3:attr.4">nonnegative-yielding</a>  holds <br/><span class="p1">(<span class="default"><a href="orders_5.html#K5" title="ORDERS_5:func.5">proj</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">.:</a> <span class="p1">(<span class="default"><a href="orders_5.html#K2" title="ORDERS_5:func.2">support</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="orders_5.html#K2" title="ORDERS_5:func.2">support</a> <span class="p1">(<span class="default"><a href="orders_5.html#K11" title="ORDERS_5:func.11">eqSumOf</a> <font color="Olive" title="b2">f</font></span>)</span></div></div>
