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<a NAME="E1:24_1_1"/>
<font color="Maroon" title="c4">G</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Maroon" title="c3">q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <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>)
 
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<a NAME="E2:24_1_1"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Maroon" title="c1">Omega</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> st <br/>( <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">G</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Maroon" title="c3">q</font> &amp; <font color="Olive" title="b1">f</font> <a href="finance1.html#R1" title="FINANCE1:pred.1">is_random_variable_on</a> <font color="Maroon" title="c2">F</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>  )
 
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<span class="kw">hence </span><a NAME="E3:24_1_1"/>
<font color="Maroon" title="c4">G</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Maroon" title="c3">q</font> is    <a href="random_1.html#M1" title="RANDOM_1:mode.1">Real-Valued-Random-Variable</a> of <font color="Maroon" title="c2">F</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="random_3.html#T7" onmouseover="rs('random_3/T7')" onmouseout="rh()">RANDOM_3:7</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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