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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>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="prob_1.html#M3">Probability</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>













<b>assume </b><b>that </b><br/><a NAME="E1:49"/><i><font color="Green">E30</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>and </b><br/><a NAME="E2:49"/><i><font color="Green">E31</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font>
 <b>and </b><br/><a NAME="E3:49"/><i><font color="Green">E32</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>5</sub></font>
 <b>and </b><br/><a NAME="E4:49"/><i><font color="Green">E33</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>6</sub></font>
 <b>and </b><br/><a NAME="E5:49"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="xboole_0.html#R1">misses</a> <font color="Maroon">c<sub>5</sub></font>
 <b>and </b><br/><a NAME="E6:49"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="prob_1.html#K7">\/</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="subset_1.html#K3">`</a> 
 ;<br/>

<b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prob_2.html#E2:49"><i><font color="Green">E31</font></i></a>, <a class="txt" href="prob_2.html#E3:49"><i><font color="Green">E32</font></i></a>, <a class="txt" href="prob_2.html#E4:49"><i><font color="Green">E33</font></i></a>, <a class="txt" href="prob_2.html#E5:49"><i><font color="Green">E34</font></i></a>, <a class="txt" href="prob_2.html#E6:49"><i><font color="Green">E35</font></i></a>, <a class="ref" href="prob_2.html#T45" target="_self">Th45</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="prob_2.html#E1:49"><i><font color="Green">E30</font></i></a>, <a class="txt" href="prob_2.html#E2:49"><i><font color="Green">E31</font></i></a>, <a class="ref" href="prob_2.html#T49" target="_self">Th49</a></i>
;<br/>

<b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prob_2.html#E2:49"><i><font color="Green">E31</font></i></a>, <a class="txt" href="prob_2.html#E3:49"><i><font color="Green">E32</font></i></a>, <a class="txt" href="prob_2.html#E4:49"><i><font color="Green">E33</font></i></a>, <a class="txt" href="prob_2.html#E5:49"><i><font color="Green">E34</font></i></a>, <a class="txt" href="prob_2.html#E6:49"><i><font color="Green">E35</font></i></a>, <a class="ref" href="prob_2.html#T45" target="_self">Th45</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="prob_2.html#E1:49"><i><font color="Green">E30</font></i></a>, <a class="txt" href="prob_2.html#E3:49"><i><font color="Green">E32</font></i></a>, <a class="ref" href="prob_2.html#T49" target="_self">Th49</a></i>
;<br/>

<b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="prob_2.html#E2:49"><i><font color="Green">E31</font></i></a>, <a class="txt" href="prob_2.html#E3:49"><i><font color="Green">E32</font></i></a>, <a class="txt" href="prob_2.html#E4:49"><i><font color="Green">E33</font></i></a>, <a class="txt" href="prob_2.html#E5:49"><i><font color="Green">E34</font></i></a>, <a class="txt" href="prob_2.html#E6:49"><i><font color="Green">E35</font></i></a>, <a class="ref" href="prob_2.html#T45" target="_self">Th45</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="prob_2.html#K4" target="_self">.|.</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>
<b>by </b><i><a class="txt" href="prob_2.html#E1:49"><i><font color="Green">E30</font></i></a>, <a class="txt" href="prob_2.html#E4:49"><i><font color="Green">E33</font></i></a>, <a class="ref" href="prob_2.html#T49" target="_self">Th49</a></i>
;<br/>


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