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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th6</font></span>: <a NAME="T6"><span class="comment"><font color="firebrick">:: MEASURE8:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="prob_1.html#NM1" title="PROB_1:NM.1">Field_Subset</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">M</font> being   <a href="measure1.html#NM1" title="MEASURE1:NM.1">Measure</a> of <font color="Olive" title="b2">F</font><br/>  for <font color="Olive" title="b4">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  ex <font color="Olive" title="b5">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/> for <font color="Olive" title="b6">Sets</font> being   <a href="prob_1.html#NM2" title="PROB_1:NM.2">SetSequence</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b7">Cvr</font> being    <a href="measure8.html#M4" title="MEASURE8:mode.4">Covering</a> of <font color="Olive" title="b6">Sets</font>,<font color="Olive" title="b2">F</font> holds  <span class="p1">(<span class="default"><a href="mesfunc9.html#K1" title="MESFUNC9:func.1">Partial_Sums</a> <span class="p2">(<span class="default"><a href="measure8.html#K2" title="MEASURE8:func.2">vol</a> (<font color="Olive" title="b3">M</font>,<span class="p3">(<span class="default"><a href="measure8.html#K8" title="MEASURE8:func.8">On</a> <font color="Olive" title="b7">Cvr</font></span>)</span>)</span>)</span></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">k</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="mesfunc9.html#K1" title="MESFUNC9:func.1">Partial_Sums</a> <span class="p2">(<span class="default"><a href="measure8.html#K4" title="MEASURE8:func.4">Volume</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b7">Cvr</font>)</span>)</span></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">m</font></div></div>
