<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c4">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">Sigma</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c4">Omega</font><br/>  for <font color="Olive" title="b2">RV</font> being   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Olive" title="b1">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> <br/>  for <font color="Olive" title="b3">K</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds  <font color="Olive" title="b2">RV</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Omega</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Olive" title="b3">K</font></span>)</span> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Olive" title="b1">Sigma</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="c5">Sigma</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c4">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">RV</font> being   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c5">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> <br/>  for <font color="Olive" title="b2">K</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds  <font color="Olive" title="b1">RV</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Omega</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Olive" title="b2">K</font></span>)</span> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c5">Sigma</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="c6">RV</font> be   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c5">Sigma</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">  for <font color="Olive" title="b1">K</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds  <font color="Maroon" title="c6">RV</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Omega</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Olive" title="b1">K</font></span>)</span> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c5">Sigma</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="c7">K</font> be   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</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"> <font color="Maroon" title="c6">RV</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Omega</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Maroon" title="c7">K</font></span>)</span> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c5">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> </span><br/>







<span class="kw">reconsider </span><font color="Maroon" title="c8">KK</font> = <font color="Maroon" title="c7">K</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="xreal_0.html#D1" onmouseover="rs('xreal_0/D1')" onmouseout="rh()">XREAL_0:def 1</a></span>;<br/>
<a NAME="E2:36"/>
<font color="Maroon" title="c4">Omega</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c8">KK</font> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c5">Sigma</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="finance3.html#T10" target="_self" onmouseover="rs('finance3/T10')" onmouseout="rh()">1A5</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:36"/>
<font color="Maroon" title="c6">RV</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Omega</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Maroon" title="c7">K</font></span>)</span> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c5">Sigma</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#T24" onmouseover="rs('finance2/T24')" onmouseout="rh()">FINANCE2:24</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/>


</div>
