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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E44">Th34</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: COUSIN2:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="measure5.html#V2" title="MEASURE5:attr.2">closed_interval</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b2">TD</font> being    <a href="cousin.html#M1" title="COUSIN:mode.1">tagged_division</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="cousin2.html#V1" title="COUSIN2:attr.1">HK-integrable</a>  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">I</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds   <a href="cousin2.html#K7" title="COUSIN2:func.7">tagged_volume</a> (<span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="valued_1.html#K3" title="VALUED_1:func.3">+</a> <font color="Olive" title="b4">g</font></span>)</span>,<font color="Olive" title="b2">TD</font>) <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><a href="cousin2.html#K7" title="COUSIN2:func.7">tagged_volume</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b2">TD</font>)</span>)</span> <a href="rvsum_1.html#K4" title="RVSUM_1:func.4">+</a> <span class="p1">(<span class="default"><a href="cousin2.html#K7" title="COUSIN2:func.7">tagged_volume</a> (<font color="Olive" title="b4">g</font>,<font color="Olive" title="b2">TD</font>)</span>)</span></div></div>
