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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E37">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: MEASUR13:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">X</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>  <font color="Olive">b<sub>1</sub></font> <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive" title="b4">S</font> being    <a href="measur13.html#M2" title="MEASUR13:mode.2">sigmaFieldFamily</a> of <font color="Olive" title="b3">X</font><br/>  for <font color="Olive" title="b5">M</font> being    <a href="measur13.html#M3" title="MEASUR13:mode.3">sigmaMeasureFamily</a> of <font color="Olive" title="b4">S</font>  st <font color="Olive" title="b2">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">m</font> &amp; <font color="Olive" title="b5">M</font> is  <a href="measur13.html#V1" title="MEASUR13:attr.1">sigma_finite</a>  holds <br/> <a href="measur13.html#K8" title="MEASUR13:func.8">ElmFin</a> (<font color="Olive" title="b5">M</font>,<font color="Olive" title="b2">n</font>) is  <a href="measur11.html#V4" title="MEASUR11:attr.4">sigma_finite</a> </div></div>
