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<span class="kw">consider </span><font color="Maroon" title="c2">g</font> being   <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><span class="kw"> such that </span><br/><a NAME="E2:27_1_1"/><span class="lab"><font color="Green" title="E13">A1</font></span>: 
( <font color="Maroon" title="c2">g</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</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#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> (<font color="Maroon" title="c1">r</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>)</span>)</span> &amp; <font color="Maroon" title="c2">g</font> <a href="finance1.html#R1" title="FINANCE1:pred.1">is_random_variable_on</a>  <a href="finance3.html#K8" title="FINANCE3:func.8">Special_SigmaField1</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="E3:27_1_1"/>
<font color="Maroon" title="c2">g</font> <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> <a href="finance1.html#R1" title="FINANCE1:pred.1">is_random_variable_on</a>  <a href="finance3.html#K8" title="FINANCE3:func.8">Special_SigmaField1</a> , <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>  </span> } </span> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:27_1_1"><span class="lab"><font color="Green" title="E13">A1</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:27_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#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Maroon" title="c1">r</font> 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#K8" title="FINANCE3:func.8">Special_SigmaField1</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="txt" href="#E2:27_1_1"><span class="lab"><font color="Green" title="E13">A1</font></span></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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