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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: INTEGR25:10</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>  st <font color="Olive" title="b1">f</font> is  <a href="limfunc1.html#V5" title="LIMFUNC1:attr.5">divergent_in+infty_to-infty</a>  holds <br/> ex <font color="Olive" title="b2">r</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="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1">(<span class="default"><a href="limfunc1.html#K3" title="LIMFUNC1:func.3">right_open_halfline</a> <font color="Olive" title="b2">r</font></span>)</span> is  <a href="seq_2.html#V1" title="SEQ_2:attr.1">bounded_above</a> </div></div>
