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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">A</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</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>;<br/><b>let </b><font color="Maroon" title="c5">B</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>









<b>assume </b><a NAME="E1:58"/><i><font color="Green" title="E41">A1</font></i>: 
<font color="Maroon" title="c5">B</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="prob_4.html#K6" title="PROB_4:func.6">ProbPart</a> <font color="Maroon" title="c4">A</font>
 ;<br/>

<a NAME="E2:58"/><i><font color="Green" title="E42">A2</font></i>: 
( <font color="Maroon" title="c5">B</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">Sigma</font> &amp; <font color="Maroon" title="c5">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">A</font> &amp; <font color="Maroon" title="c4">A</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c5">B</font> is    <a href="prob_4.html#M2" title="PROB_4:mode.2">thin</a> of <font color="Maroon" title="c3">P</font> )
 
<b>by </b><i><a class="txt" href="prob_4.html#E1:58"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="prob_4.html#D7" target="_self" title="PROB_4:def.7">Def7</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">C</font> = <font color="Maroon" title="c4">A</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c5">B</font> as    <a href="prob_4.html#M2" title="PROB_4:mode.2">thin</a> of <font color="Maroon" title="c3">P</font> <b>by </b><i><a class="txt" href="prob_4.html#E1:58"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="prob_4.html#D7" target="_self" title="PROB_4:def.7">Def7</a></i>;<br/>
<a NAME="E4:58"/><i><font color="Green" title="E43">A3</font></i>: 
<font color="Maroon" title="c4">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">B</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Maroon" title="c6">C</font>
 
<b>by </b><i><a class="txt" href="prob_4.html#E2:58"><i><font color="Green" title="E42">A2</font></i></a>, <a class="ref" href="xboole_1.html#T45" title="XBOOLE_1:th.45">XBOOLE_1:45</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c7">A</font> = <font color="Maroon" title="c4">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="ref" href="prob_1.html#D10" title="PROB_1:def.10">PROB_1:def 10</a></i>;<br/>
<a NAME="E6:58"/>
<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="c8">B</font> = <font color="Maroon" title="c5">B</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#E2:58"><i><font color="Green" title="E42">A2</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="E8:58"/>
<font color="Maroon" title="c8">B</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Maroon" title="c6">C</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T79" title="XBOOLE_1:th.79">XBOOLE_1:79</a></i>;<br/>
<b>then </b><i><font color="Green" title="E44">A4</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="prob_1.html#K10" title="PROB_1:func.10">.</a> <font color="Maroon" title="c7">A</font> = 
<span class="p1">(<span class="default"><span class="p2">(<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="c8">B</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<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="c6">C</font></span>)</span>
<b>by </b><i><a class="txt" href="prob_4.html#E4:58"><i><font color="Green" title="E43">A3</font></i></a>, <a class="ref" href="prob_1.html#D13" title="PROB_1:def.13">PROB_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<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="c8">B</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 0
<b>by </b><i><a class="ref" href="prob_4.html#T41" target="_self" title="PROB_4:th.41">Th41</a></i>
<br/>.= 
<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="c8">B</font>

;<br/>
<b>reconsider </b><font color="Maroon" title="c9">B</font> = <font color="Maroon" title="c8">B</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#E2:58"><i><font color="Green" title="E42">A2</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="E11:58"/>
<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> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">P</font> <a href="prob_1.html#K10" title="PROB_1:func.10">.</a> <font color="Maroon" title="c9">B</font>
 
<b>by </b><i><a class="txt" href="prob_4.html#E9:58"><i><font color="Green" title="E44">A4</font></i></a>, <a class="ref" href="prob_4.html#T40" target="_self" title="PROB_4:th.40">Th40</a></i>;<br/>
<b>hence </b><a NAME="E12:58"/>
<font color="Maroon" title="c3">P</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">A</font>
 ;<br/>


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