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<span class="kw">let </span><font color="Maroon" title="c1">Omega</font> be   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> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">F</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">Omega</font><br/>  for <font color="Olive" title="b2">k</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="finance1.html#K6" title="FINANCE1:func.6">set_of_random_variables_on</a> (<font color="Olive" title="b1">F</font>,<a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>) holds   <a href="finance1.html#K8" title="FINANCE1:func.8">ElementsOfPortfolioValueProb_fut</a> (<font color="Olive" title="b1">F</font>,<font color="Olive" title="b2">k</font>) is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Olive" title="b1">F</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">F</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">Omega</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">k</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="finance1.html#K6" title="FINANCE1:func.6">set_of_random_variables_on</a> (<font color="Maroon" title="c2">F</font>,<a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>) holds   <a href="finance1.html#K8" title="FINANCE1:func.8">ElementsOfPortfolioValueProb_fut</a> (<font color="Maroon" title="c2">F</font>,<font color="Olive" title="b1">k</font>) is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">F</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">k</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="finance1.html#K6" title="FINANCE1:func.6">set_of_random_variables_on</a> (<font color="Maroon" title="c2">F</font>,<a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>); <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="finance1.html#K8" title="FINANCE1:func.8">ElementsOfPortfolioValueProb_fut</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">k</font>) is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">F</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> </span><br/>





<a NAME="E1:43"/>
 <a href="finance1.html#K8" title="FINANCE1:func.8">ElementsOfPortfolioValueProb_fut</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">k</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="finance1.html#K7" title="FINANCE1:func.7">Change_Element_to_Func</a> (<font color="Maroon" title="c2">F</font>,<a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>,<font color="Maroon" title="c3">k</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finance1.html#D8" onmouseover="rs('finance1/D8')" onmouseout="rh()">FINANCE1:def 8</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:43"/>
 <a href="finance1.html#K8" title="FINANCE1:func.8">ElementsOfPortfolioValueProb_fut</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">k</font>) is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">F</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="finance2.html#T27" target="_self" onmouseover="rs('finance2/T27')" onmouseout="rh()">T</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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