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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: FINANCE3:9</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">X</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="b4">G</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <font color="Olive" title="b3">X</font><br/>  for <font color="Olive" title="b5">phi</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a><br/>  for <font color="Olive" title="b6">d</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="finance3.html#K2" title="FINANCE3:func.2">RVPortfolioValueFutExt</a> (<font color="Olive" title="b5">phi</font>,<font color="Olive" title="b2">F</font>,<font color="Olive" title="b4">G</font>,<span class="p1">(<span class="default"><font color="Olive" title="b6">d</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>) <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><a href="finance3.html#K5" title="FINANCE3:func.5">RVPortfolioValueFut</a> (<font color="Olive" title="b5">phi</font>,<font color="Olive" title="b2">F</font>,<font color="Olive" title="b4">G</font>,<font color="Olive" title="b6">d</font>)</span>)</span> <a href="valued_1.html#K3" title="VALUED_1:func.3">+</a> <span class="p1">(<span class="default"><a href="finance2.html#K8" title="FINANCE2:func.8">RVElementsOfPortfolioValue_fut</a> (<font color="Olive" title="b5">phi</font>,<font color="Olive" title="b2">F</font>,<font color="Olive" title="b4">G</font>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></div></div>
