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<span class="kw">set </span><font color="Maroon" title="c4">g</font> = <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> <span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">jpi</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Maroon" title="c3">d</font></span>)</span> <a href="xxreal_3.html#K4" title="XXREAL_3:func.4">*</a> <span class="p3">(<span class="default">1 <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> <font color="Maroon" title="c2">r</font></span>)</span></span>)</span>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>)</span>)</span>;<br/>
<a NAME="E1:29_1_1"/>
<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> <span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">jpi</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Maroon" title="c3">d</font></span>)</span> <a href="xxreal_3.html#K4" title="XXREAL_3:func.4">*</a> <span class="p3">(<span class="default">1 <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> <font color="Maroon" title="c2">r</font></span>)</span></span>)</span>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>)</span>)</span> is   <a href="finance1.html#NM2" title="FINANCE1:NM.2">random_variable</a> of  <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 class="kw">by</span> <span class="lab"><a class="ref" href="finance3.html#T10" onmouseover="rs('finance3/T10')" onmouseout="rh()">FINANCE3:10</a></span>;<br/>
<a NAME="E2:29_1_1"/><span class="kw">then </span>
<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> <span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">jpi</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Maroon" title="c3">d</font></span>)</span> <a href="xxreal_3.html#K4" title="XXREAL_3:func.4">*</a> <span class="p3">(<span class="default">1 <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> <font color="Maroon" title="c2">r</font></span>)</span></span>)</span>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>)</span>)</span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b1">f</font> where <font color="Olive" title="b1">f</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <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="numbers.html#K1" title="NUMBERS:func.1">REAL</a> : <font color="Olive" title="b1">f</font> is  <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>  <a href="finance1.html#V1" title="FINANCE1:attr.1">-random_variable-like</a>  </span> } </span> 
 
;<br/>
<span class="kw">hence </span><a NAME="E3:29_1_1"/>
 <a href="finance6.html#K14" title="FINANCE6:func.14">RVfirst</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">jpi</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Maroon" title="c3">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="Maroon" title="c2">r</font></span>)</span></span>)</span> is    <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> (<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>)
 ; <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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