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<div><span class="kw">theorem </span><a NAME="T48"><span class="comment"><font color="firebrick">:: RFUNCT_2:48</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">h</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b2">h</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b1">X</font> is  <a href="valued_0.html#V5" title="VALUED_0:attr.5">increasing</a>  holds <br/><span class="p1">(<span class="default"><a href="valued_1.html#K32" title="VALUED_1:func.32">-</a> <font color="Olive" title="b2">h</font></span>)</span> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b1">X</font> is  <a href="valued_0.html#V6" title="VALUED_0:attr.6">decreasing</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="rfunct_2.html#T32" target="_self" onmouseover="rs('rfunct_2/T32')" onmouseout="rh()">Th32</a></span>;<br/></div></div>
