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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th20</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: INTEGR25:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">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><br/>  for <font color="Olive" title="b2">b</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b1">f</font> <a href="integr10.html#R4" title="INTEGR10:pred.4">is_-infty_ext_Riemann_integrable_on</a> <font color="Olive" title="b2">b</font> holds <br/><font color="Olive" title="b1">f</font> <a href="integr25.html#R1" title="INTEGR25:pred.1">is_-infty_improper_integrable_on</a> <font color="Olive" title="b2">b</font></div></div>
