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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E23">Def11</font></span>   defines <a href="measur13.html#K9" title="MEASUR13:func.9">ProdSigmaFldFinSeq</a> <a onclick="hs(this)" href="javascript:()">MEASUR13:def 11 : <br/></a><span> for <font color="Olive" title="b1">m</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="b2">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="b3">S</font> being    <a href="measur13.html#M2" title="MEASUR13:mode.2">sigmaFieldFamily</a> of <font color="Olive" title="b2">X</font><br/>  for <font color="Olive">b<sub>4</sub></font> being    <a href="measur13.html#M2" title="MEASUR13:mode.2">sigmaFieldFamily</a> of  <a href="measur13.html#K2" title="MEASUR13:func.2">ProdFinSeq</a> <font color="Olive" title="b2">X</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur13.html#K9" title="MEASUR13:func.9">ProdSigmaFldFinSeq</a> <font color="Olive" title="b3">S</font> iff ( <font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 &amp; (  for <font color="Olive" title="b5">i</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>  st <font color="Olive" title="b5">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b1">m</font> holds <br/> ex <font color="Olive" title="b6">Si</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <span class="p1">(<span class="default"><a href="measur13.html#K3" title="MEASUR13:func.3">CarProduct</a> <span class="p2">(<span class="default"><a href="measur13.html#K4" title="MEASUR13:func.4">SubFin</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b5">i</font>)</span>)</span></span>)</span> st <br/>( <font color="Olive" title="b6">Si</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="prob_1.html#K9" title="PROB_1:func.9">sigma</a> <span class="p1">(<span class="default"><a href="measur10.html#K3" title="MEASUR10:func.3">measurable_rectangles</a> (<font color="Olive" title="b6">Si</font>,<span class="p2">(<span class="default"><a href="measur13.html#K6" title="MEASUR13:func.6">ElmFin</a> (<font color="Olive" title="b3">S</font>,<span class="p3">(<span class="default"><font color="Olive" title="b5">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>)</span>)</span>)</span>)</span> ) ) ) );<br/></span></div>
