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<b>let </b><font color="Maroon">E</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A</font> be   <a href="rpr_1.html#NM2">Event</a> of <font color="Maroon">E</font>, <font color="Maroon">B</font> be   <a href="rpr_1.html#NM2">Event</a> of <font color="Maroon">E</font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:43"/><i><font color="Green">E22</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font>
 <b>and </b><br/><a NAME="E2:43"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font>
 ;<br/>

<a NAME="E3:43"/>
 <a href="rpr_1.html#K2" target="_self">prob</a> <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="hidden.html#R1">=</a> 1 <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <span class="p3">(<span class="default"><font color="Maroon">B</font> <a href="subset_1.html#K7">\</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p2">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:43"/><b>then </b>
 <a href="rpr_1.html#K2" target="_self">prob</a> <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="hidden.html#R1">=</a> 1 <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p2">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:43"/><b>then </b>
 <a href="rpr_1.html#K2" target="_self">prob</a> <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="hidden.html#R1">=</a> 1 <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">A</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="xcmplx_1.html#T121">XCMPLX_1:121</a></i>;<br/>
<a NAME="E6:43"/><b>then </b>
 <a href="rpr_1.html#K2" target="_self">prob</a> <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="hidden.html#R1">=</a> 1 <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default">1 <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">A</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xcmplx_1.html#T60">XCMPLX_1:60</a></i>;<br/>
<b>hence </b><a NAME="E7:43"/>
 <a href="rpr_1.html#K2" target="_self">prob</a> <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">A</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><a href="rpr_1.html#K1" target="_self">prob</a> <font color="Maroon">B</font></span>)</span>
 ;<br/>


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