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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E90">Th69</font></span>: <a NAME="T69"><span class="comment"><font color="firebrick">:: MEASUR12:69</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</font> being   <a href="prob_2.html#V1" title="PROB_2:attr.1">disjoint_valued</a>  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="measur10.html#K2" title="MEASUR10:func.2">Family_of_Intervals</a>  st  <a href="card_3.html#K3" title="CARD_3:func.3">Union</a> <font color="Olive" title="b1">K</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="measur10.html#K2" title="MEASUR10:func.2">Family_of_Intervals</a>  holds <br/><a href="measur12.html#K9" title="MEASUR12:func.9">pre-Meas</a> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <span class="p1">(<span class="default"><a href="card_3.html#K3" title="CARD_3:func.3">Union</a> <font color="Olive" title="b1">K</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="supinf_2.html#K17" title="SUPINF_2:func.17">SUM</a> <span class="p1">(<span class="default"><a href="measur12.html#K9" title="MEASUR12:func.9">pre-Meas</a> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b1">K</font></span>)</span></div></div>
