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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th37</font></span>: <a NAME="T35"><span class="comment"><font color="firebrick">:: MESFUN15:35</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">f</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 <span class="p1"><a href="rcomp_1.html#K4" title="RCOMP_1:func.4">].</a><span class="default"><a href="supinf_1.html#K2" title="SUPINF_1:func.2">-infty</a>,<font color="Olive" title="b1">a</font></span><a href="rcomp_1.html#K4" title="RCOMP_1:func.4">.]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">f</font> &amp; <font color="Olive" title="b2">f</font> <a href="integr25.html#R1" title="INTEGR25:pred.1">is_-infty_improper_integrable_on</a> <font color="Olive" title="b1">a</font> holds <br/> for <font color="Olive" title="b3">E</font> being    <a href="measur12.html#M3" title="MEASUR12:mode.3">Element</a> of  <a href="measur12.html#K14" title="MEASUR12:func.14">L-Field</a>   st <font color="Olive" title="b3">E</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="rcomp_1.html#K4" title="RCOMP_1:func.4">].</a><span class="default"><a href="supinf_1.html#K2" title="SUPINF_1:func.2">-infty</a>,<font color="Olive" title="b1">a</font></span><a href="rcomp_1.html#K4" title="RCOMP_1:func.4">.]</a></span> holds <br/><font color="Olive" title="b2">f</font> is <font color="Olive" title="b3">E</font> <a href="mesfunc6.html#V1" title="MESFUNC6:attr.1">-measurable</a> </div></div>
