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<div><span class="kw">theorem </span><a NAME="T87"><span class="comment"><font color="firebrick">:: RFUNCT_1:87</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">f</font> being   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <font color="Olive" title="b3">f</font> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <font color="Olive" title="b1">X</font> is  <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">bounded</a>  &amp; <font color="Olive" title="b3">f</font> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <font color="Olive" title="b2">Y</font> is  <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">bounded</a>  holds <br/><font color="Olive" title="b3">f</font> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b2">Y</font></span>)</span> is  <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">bounded</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="rfunct_1.html#T85" target="_self" onmouseover="rs('rfunct_1/T85')" onmouseout="rh()">Th85</a>, <a class="ref" href="rfunct_1.html#T86" target="_self" onmouseover="rs('rfunct_1/T86')" onmouseout="rh()">Th86</a></span>;<br/></div></div>
