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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E27">Def13</font></span>   defines <a href="measur13.html#K11" title="MEASUR13:func.11">ProdSigmaMesFinSeq</a> <a onclick="hs(this)" href="javascript:()">MEASUR13:def 13 : <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" title="b4">M</font> being    <a href="measur13.html#M3" title="MEASUR13:mode.3">sigmaMeasureFamily</a> of <font color="Olive" title="b3">S</font><br/>  for <font color="Olive">b<sub>5</sub></font> being    <a href="measur13.html#M3" title="MEASUR13:mode.3">sigmaMeasureFamily</a> of  <a href="measur13.html#K9" title="MEASUR13:func.9">ProdSigmaFldFinSeq</a> <font color="Olive" title="b3">S</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur13.html#K11" title="MEASUR13:func.11">ProdSigmaMesFinSeq</a> <font color="Olive" title="b4">M</font> iff ( <font color="Olive">b<sub>5</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="b4">M</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 &amp; (  for <font color="Olive" title="b6">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="b6">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="b7">Mi</font> being   <a href="measure1.html#NM5" title="MEASURE1:NM.5">sigma_Measure</a> of <span class="p1">(<span class="default"><a href="measur13.html#K10" title="MEASUR13:func.10">Prod_Field</a> <span class="p2">(<span class="default"><a href="measur13.html#K5" title="MEASUR13:func.5">SubFin</a> (<font color="Olive" title="b3">S</font>,<font color="Olive" title="b6">i</font>)</span>)</span></span>)</span> st <br/>( <font color="Olive" title="b7">Mi</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>5</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">i</font> &amp; <font color="Olive">b<sub>5</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">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="measur11.html#K6" title="MEASUR11:func.6">product_sigma_Measure</a> (<font color="Olive" title="b7">Mi</font>,<span class="p1">(<span class="default"><a href="measur13.html#K8" title="MEASUR13:func.8">ElmFin</a> (<font color="Olive" title="b4">M</font>,<span class="p2">(<span class="default"><font color="Olive" title="b6">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>)</span>)</span>) ) ) ) );<br/></span></div>
