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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#M2" target="_self">Event</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="prob_1.html#M3" target="_self">Probability</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>







<a NAME="E1:57"/><i><font color="Green">E35</font></i>: 
<span class="p1">(<span class="default"><a href="prob_1.html#K5" target="_self">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8" target="_self">\</a> <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#R1">misses</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T79">XBOOLE_1:79</a></i>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="prob_1.html#K5" target="_self">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8" target="_self">\</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K7" target="_self">\/</a> <font color="Maroon">c<sub>3</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="subset_1.html#K4">\/</a> <font color="Maroon">c<sub>3</sub></font>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K3">`</a> </span>)</span> <a href="subset_1.html#K4">\/</a> <font color="Maroon">c<sub>3</sub></font>

<br/>.= 
 <a href="subset_1.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="subset_1.html#T25">SUBSET_1:25</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font>

;<br/>
<b>then </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="prob_1.html#K10" target="_self">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="prob_1.html#K5" target="_self">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8" target="_self">\</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> = 
<font color="Maroon">c<sub>4</sub></font> <a href="seq_1.html#K2">.</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="txt" href="prob_1.html#E1:57"><i><font color="Green">E35</font></i></a>, <a class="ref" href="prob_1.html#D13" target="_self">Def13</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="prob_1.html#D13" target="_self">Def13</a></i>
;<br/>
<b>hence </b><a NAME="E4:57"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="prob_1.html#K10" target="_self">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="prob_1.html#K5" target="_self">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8" target="_self">\</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> 1
 ;<br/>


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