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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: MEASUR13:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">n</font>, <font color="Olive" title="b3">k</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="b4">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="b5">S</font> being    <a href="measur13.html#M2" title="MEASUR13:mode.2">sigmaFieldFamily</a> of <font color="Olive" title="b4">X</font><br/>  for <font color="Olive" title="b6">M</font> being    <a href="measur13.html#M3" title="MEASUR13:mode.3">sigmaMeasureFamily</a> of <font color="Olive" title="b5">S</font>  st <font color="Olive" title="b3">k</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">n</font> &amp; <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> holds <br/> <a href="measur13.html#K7" title="MEASUR13:func.7">SubFin</a> (<font color="Olive" title="b6">M</font>,<font color="Olive" title="b3">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur13.html#K7" title="MEASUR13:func.7">SubFin</a> (<span class="p1">(<span class="default"><a href="measur13.html#K7" title="MEASUR13:func.7">SubFin</a> (<font color="Olive" title="b6">M</font>,<font color="Olive" title="b2">n</font>)</span>)</span>,<font color="Olive" title="b3">k</font>)</div></div>
