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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">JB2</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: FINANCE6:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Omega</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b1">Omega</font><br/>  for <font color="Olive" title="b3">phi</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a><br/>  for <font color="Olive" title="b4">jpi</font> being    <a href="finance1.html#M1" title="FINANCE1:mode.1">pricefunction</a> <br/>  for <font color="Olive" title="b5">d</font>, <font color="Olive" title="b6">d2</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b6">d2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">d</font> <a href="xxreal_3.html#K3" title="XXREAL_3:func.3">-</a> 1 holds <br/> for <font color="Olive" title="b7">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b8">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> (<font color="Olive" title="b2">F</font>,<a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>)</span>)</span> holds  <span class="p1"> { <span class="default"> <font color="Olive" title="b9">w</font> where <font color="Olive" title="b9">w</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">Omega</font> :  <a href="finance3.html#K4" title="FINANCE3:func.4">PortfolioValueFut</a> (<font color="Olive" title="b5">d</font>,<font color="Olive" title="b3">phi</font>,<font color="Olive" title="b2">F</font>,<font color="Olive" title="b8">G</font>,<font color="Olive" title="b9">w</font>) <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <span class="p1">(<span class="default">1 <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> <font color="Olive" title="b7">r</font></span>)</span> <a href="xxreal_3.html#K4" title="XXREAL_3:func.4">*</a> <span class="p1">(<span class="default"><a href="finance1.html#K5" title="FINANCE1:func.5">BuyPortfolio</a> (<font color="Olive" title="b3">phi</font>,<font color="Olive" title="b4">jpi</font>,<font color="Olive" title="b5">d</font>)</span>)</span> </span> } </span>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finance3.html#K5" title="FINANCE3:func.5">RVPortfolioValueFut</a> (<font color="Olive" title="b3">phi</font>,<font color="Olive" title="b2">F</font>,<font color="Olive" title="b8">G</font>,<font color="Olive" title="b6">d2</font>)</span>)</span> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">Omega</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> <font color="Olive" title="b7">r</font></span>)</span> <a href="xxreal_3.html#K4" title="XXREAL_3:func.4">*</a> <span class="p4">(<span class="default"><a href="finance1.html#K5" title="FINANCE1:func.5">BuyPortfolio</a> (<font color="Olive" title="b3">phi</font>,<font color="Olive" title="b4">jpi</font>,<font color="Olive" title="b5">d</font>)</span>)</span></span>)</span></span>)</span></span>)</span> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <span class="p1"><a href="rcomp_1.html#K3" title="RCOMP_1:func.3">[.</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a></span><a href="rcomp_1.html#K3" title="RCOMP_1:func.3">.[</a></span></div></div>
