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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="prob_1.html#NM3">SigmaField</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="prob_1.html#M3">Probability</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="prob_4.html#K7" target="_self">COM</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>









<b>assume </b><a NAME="E1:58"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="prob_4.html#K6" target="_self">ProbPart</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<a NAME="E2:58"/><i><font color="Green">E42</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="subset_1.html#K7">\</a> <font color="Maroon">c<sub>5</sub></font> is    <a href="prob_4.html#M2" target="_self">thin</a> of <font color="Maroon">c<sub>3</sub></font> )
 
<b>by </b><i><a class="txt" href="prob_4.html#E1:58"><i><font color="Green">E41</font></i></a>, <a class="ref" href="prob_4.html#D7" target="_self">Def7</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>4</sub></font> <a href="subset_1.html#K7">\</a> <font color="Maroon">c<sub>5</sub></font> as    <a href="prob_4.html#M2" target="_self">thin</a> of <font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="txt" href="prob_4.html#E1:58"><i><font color="Green">E41</font></i></a>, <a class="ref" href="prob_4.html#D7" target="_self">Def7</a></i>;<br/>
<a NAME="E4:58"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">c<sub>6</sub></font>
 
<b>by </b><i><a class="txt" href="prob_4.html#E2:58"><i><font color="Green">E42</font></i></a>, <a class="ref" href="xboole_1.html#T45">XBOOLE_1:45</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>4</sub></font> as    <a href="prob_1.html#M2">Event</a> of  <a href="prob_4.html#K7" target="_self">COM</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="prob_1.html#D10">PROB_1:def 10</a></i>;<br/>
<a NAME="E6:58"/>
<font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a>  <a href="prob_4.html#K7" target="_self">COM</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="prob_4.html#T29" target="_self">Th29</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>8</sub></font> = <font color="Maroon">c<sub>5</sub></font> as    <a href="prob_1.html#M2">Event</a> of  <a href="prob_4.html#K7" target="_self">COM</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="txt" href="prob_4.html#E2:58"><i><font color="Green">E42</font></i></a>, <a class="ref" href="prob_1.html#D10">PROB_1:def 10</a></i>;<br/>
<a NAME="E8:58"/>
<font color="Maroon">c<sub>8</sub></font> <a href="xboole_0.html#R1">misses</a> <font color="Maroon">c<sub>6</sub></font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T79">XBOOLE_1:79</a></i>;<br/>
<b>then </b><i><font color="Green">E44</font></i>: <span class="p1">(<span class="default"><a href="prob_4.html#K8" target="_self">COM</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>7</sub></font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="prob_4.html#K8" target="_self">COM</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="prob_4.html#K8" target="_self">COM</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prob_4.html#E4:58"><i><font color="Green">E43</font></i></a>, <a class="ref" href="prob_1.html#D13">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" target="_self">COM</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> 0
<b>by </b><i><a class="ref" href="prob_4.html#T41" target="_self">Th41</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="prob_4.html#K8" target="_self">COM</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>8</sub></font>

;<br/>
<b>reconsider </b><font color="Maroon">c<sub>9</sub></font> = <font color="Maroon">c<sub>8</sub></font> as    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="txt" href="prob_4.html#E2:58"><i><font color="Green">E42</font></i></a>, <a class="ref" href="prob_1.html#D10">PROB_1:def 10</a></i>;<br/>
<a NAME="E11:58"/>
<span class="p1">(<span class="default"><a href="prob_4.html#K8" target="_self">COM</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="txt" href="prob_4.html#E9:58"><i><font color="Green">E44</font></i></a>, <a class="ref" href="prob_4.html#T40" target="_self">Th40</a></i>;<br/>
<b>hence </b><a NAME="E12:58"/>
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="prob_4.html#K8" target="_self">COM</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>


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