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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: MEASUR12:35</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <span class="p1">(<span class="default"><a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a></span>)</span><br/>  for <font color="Olive" title="b2">G</font> being    <a href="measur12.html#M2" title="MEASUR12:mode.2">Open_Interval_Covering</a> of <font color="Olive" title="b1">F</font> holds   <a href="supinf_2.html#K7" title="SUPINF_2:func.7">inf</a> <span class="p1">(<span class="default"><a href="measur12.html#K7" title="MEASUR12:func.7">Svc2</a> <span class="p2">(<span class="default"><a href="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <span class="p3">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b1">F</font></span>)</span></span>)</span></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="measure7.html#K7" title="MEASURE7:func.7">vol</a> <font color="Olive" title="b2">G</font></span>)</span></div></div>
