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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: FINANCE6:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Prob</font> being    <a href="prob_1.html#M2" title="PROB_1:mode.2">Probability</a> of  <a href="finance3.html#K8" title="FINANCE3:func.8">Special_SigmaField1</a> <br/>  for <font color="Olive" title="b2">G</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <span class="p1">(<span class="default"><a href="finance1.html#K6" title="FINANCE1:func.6">set_of_random_variables_on</a> (<a href="finance3.html#K8" title="FINANCE3:func.8">Special_SigmaField1</a>,<a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>)</span>)</span>  st <font color="Olive" title="b2">G</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> 1 &amp; <font color="Olive" title="b2">G</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> 5 &amp; (  for <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">k</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 holds <br/><font color="Olive" title="b2">G</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> ) holds <br/> ex <font color="Olive" title="b3">jpi</font> being    <a href="finance1.html#M1" title="FINANCE1:mode.1">pricefunction</a>  st  <a href="finance6.html#R1" title="FINANCE6:pred.1">Arbitrage_Opportunity_exists_wrt</a> <font color="Olive" title="b1">Prob</font>,<font color="Olive" title="b2">G</font>,<font color="Olive" title="b3">jpi</font>,1</div></div>
