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<div><span class="kw">theorem </span><a NAME="T20"><span class="comment"><font color="firebrick">:: FINANCE6:20</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#K9" title="FINANCE3:func.9">Special_SigmaField2</a> <br/>  for <font color="Olive" title="b2">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b2">r</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> for <font color="Olive" title="b3">jpi</font> being    <a href="finance1.html#M1" title="FINANCE1:mode.1">pricefunction</a>   ex <font color="Olive" title="b4">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#K9" title="FINANCE3:func.9">Special_SigmaField2</a>,<a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>)</span>)</span> st <br/> for <font color="Olive" title="b5">d</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive" title="b4">G</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">d</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#K7" title="FUNCOP_1:func.7">--&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">jpi</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">d</font></span>)</span> <a href="xxreal_3.html#K4" title="XXREAL_3:func.4">*</a> <span class="p2">(<span class="default">1 <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> <font color="Olive" title="b2">r</font></span>)</span></span>)</span> &amp;  <a href="finance6.html#K11" title="FINANCE6:func.11">Change_Element_to_Func</a> (<font color="Olive" title="b4">G</font>,<font color="Olive" title="b5">d</font>) <a href="mesfunc6.html#R2" title="MESFUNC6:pred.2">is_integrable_on</a>  <a href="prob_4.html#K2" title="PROB_4:func.2">P2M</a> <font color="Olive" title="b1">Prob</font> &amp;  <a href="finance6.html#K11" title="FINANCE6:func.11">Change_Element_to_Func</a> (<font color="Olive" title="b4">G</font>,<font color="Olive" title="b5">d</font>) <a href="mesfunc6.html#R1" title="MESFUNC6:pred.1">is_simple_func_in</a>  <a href="finance3.html#K9" title="FINANCE3:func.9">Special_SigmaField2</a>  )</div></div>
