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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: INTEGRA1:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <font color="Olive" title="b1">X</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b2">f</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b1">X</font> is  <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">bounded</a>  holds <br/> <a href="rvsum_1.html#K1" title="RVSUM_1:func.1">rng</a> <font color="Olive" title="b2">f</font> is  <a href="xxreal_2.html#V5" title="XXREAL_2:attr.5">real-bounded</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="integra1.html#T13" target="_self" onmouseover="rs('integra1/T13')" onmouseout="rh()">Th11</a>, <a class="ref" href="integra1.html#T11" target="_self" onmouseover="rs('integra1/T11')" onmouseout="rh()">Th9</a></span>;<br/></div></div>
