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<span class="kw">consider </span><font color="Maroon" title="c1">Y</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><span class="kw"> such that </span><br/><a NAME="E2:35"/><span class="lab"><font color="Green" title="E17">A2</font></span>: 
<font color="Maroon" title="c1">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="numbers.html#T12" onmouseover="rs('numbers/T12')" onmouseout="rh()">NUMBERS:12</a></span>;<br/>
<a NAME="E3:35"/>
<font color="Maroon" title="c1">Y</font> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  is    <a href="prob_1.html#M1" title="PROB_1:mode.1">Event</a> of  <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#T18" target="_self" onmouseover="rs('finance2/T18')" onmouseout="rh()">Th41</a>, <a class="txt" href="#E2:35"><span class="lab"><font color="Green" title="E17">A2</font></span></a>, <a class="ref" href="prob_1.html#T20" onmouseover="rs('prob_1/T20')" onmouseout="rh()">PROB_1:20</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:35"/>
<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a> is    <a href="prob_1.html#M1" title="PROB_1:mode.1">Event</a> of  <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="#E2:35"><span class="lab"><font color="Green" title="E17">A2</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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