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<b>let </b><font color="Maroon">Omega</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">Sigma</font> be   <a href="prob_1.html#NM3">SigmaField</a> of <font color="Maroon">Omega</font>;<br/><b>let </b><font color="Maroon">A</font> be    <a href="prob_1.html#M2" target="_self">Event</a> of <font color="Maroon">Sigma</font>;<br/><b>let </b><font color="Maroon">B</font> be    <a href="prob_1.html#M2" target="_self">Event</a> of <font color="Maroon">Sigma</font>;<br/><b>let </b><font color="Maroon">P</font> be    <a href="prob_1.html#M3" target="_self">Probability</a> of <font color="Maroon">Sigma</font>;<br/>









<b>assume </b><a NAME="E1:60"/>
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font>
 ;<br/>

<a NAME="E2:60"/><b>then </b>
<font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <span class="p1">(<span class="default"><font color="Maroon">B</font> <a href="prob_1.html#K8" target="_self">\</a> <font color="Maroon">A</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">B</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">A</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:60"/><b>then </b>
0 <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">B</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">A</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E4:60"/><b>then </b>
0 <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">A</font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="xreal_1.html#T21">XREAL_1:21</a></i>;<br/>
<b>hence </b><a NAME="E5:60"/>
<font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">A</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">P</font> <a href="prob_1.html#K10" target="_self">.</a> <font color="Maroon">B</font>
 ;<br/>


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