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<b>let </b><font color="Maroon" title="c1">Omega</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">Sigma</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">Omega</font>;<br/><b>let </b><font color="Maroon" title="c3">P</font> be    <a href="prob_1.html#M3" title="PROB_1:mode.3">Probability</a> of <font color="Maroon" title="c2">Sigma</font>;<br/><b>let </b><font color="Maroon" title="c4">C</font> be    <a href="prob_4.html#M2" title="PROB_4:mode.2">thin</a> of <font color="Maroon" title="c3">P</font>;<br/>







<b>consider </b><font color="Maroon" title="c5">A</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E2:57"/><i><font color="Green" title="E41">A1</font></i>: 
( <font color="Maroon" title="c5">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">Sigma</font> &amp; <font color="Maroon" title="c4">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">A</font> &amp; <font color="Maroon" title="c3">P</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  )
 <b>by </b><i><a class="ref" href="prob_4.html#D4" target="_self" title="PROB_4:def.4">Def4</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">A</font> = <font color="Maroon" title="c5">A</font> as    <a href="prob_1.html#M2" title="PROB_1:mode.2">Event</a> of <font color="Maroon" title="c2">Sigma</font> <b>by </b><i><a class="txt" href="prob_4.html#E2:57"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="prob_1.html#D10" title="PROB_1:def.10">PROB_1:def 10</a></i>;<br/>
<a NAME="E4:57"/><i><font color="Green" title="E42">A2</font></i>: 
<span class="p1">(<span class="default"><a href="prob_4.html#K8" title="PROB_4:func.8">COM</a> <font color="Maroon" title="c3">P</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="txt" href="prob_4.html#E2:57"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="prob_4.html#T40" target="_self" title="PROB_4:th.40">Th40</a></i>;<br/>
<a NAME="E5:57"/>
<font color="Maroon" title="c2">Sigma</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="prob_4.html#K7" title="PROB_4:func.7">COM</a> <font color="Maroon" title="c2">Sigma</font>,<font color="Maroon" title="c3">P</font>
 
<b>by </b><i><a class="ref" href="prob_4.html#T29" target="_self" title="PROB_4:th.29">Th29</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c7">A</font> = <font color="Maroon" title="c6">A</font> as    <a href="prob_1.html#M2" title="PROB_1:mode.2">Event</a> of  <a href="prob_4.html#K7" title="PROB_4:func.7">COM</a> <font color="Maroon" title="c2">Sigma</font>,<font color="Maroon" title="c3">P</font> <b>by </b><i><a class="txt" href="prob_4.html#E2:57"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="prob_1.html#D10" title="PROB_1:def.10">PROB_1:def 10</a></i>;<br/>
<a NAME="E7:57"/>
<span class="p1">(<span class="default"><a href="prob_4.html#K8" title="PROB_4:func.8">COM</a> <font color="Maroon" title="c3">P</font></span>)</span> <a href="prob_1.html#K10" title="PROB_1:func.10">.</a> <font color="Maroon" title="c4">C</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="prob_4.html#K8" title="PROB_4:func.8">COM</a> <font color="Maroon" title="c3">P</font></span>)</span> <a href="prob_1.html#K10" title="PROB_1:func.10">.</a> <font color="Maroon" title="c7">A</font>
 
<b>by </b><i><a class="txt" href="prob_4.html#E2:57"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="prob_1.html#T70" title="PROB_1:th.70">PROB_1:70</a></i>;<br/>
<b>hence </b><a NAME="E8:57"/>
<span class="p1">(<span class="default"><a href="prob_4.html#K8" title="PROB_4:func.8">COM</a> <font color="Maroon" title="c3">P</font></span>)</span> <a href="prob_1.html#K10" title="PROB_1:func.10">.</a> <font color="Maroon" title="c4">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="txt" href="prob_4.html#E4:57"><i><font color="Green" title="E42">A2</font></i></a>, <a class="ref" href="prob_1.html#D13" title="PROB_1:def.13">PROB_1:def 13</a></i>;<br/>


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