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<b>let </b><font color="Maroon">c<sub>6</sub></font> be   <a href="qmax_1.html#NM1">Quantum_Mechanics</a>;<br/><b>let </b><font color="Maroon">c<sub>7</sub></font>, <font color="Maroon">c<sub>8</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qmax_1.html#K5" target="_self">Prop</a> <font color="Maroon">c<sub>6</sub></font>;<br/>





<b>assume </b><a NAME="E1:33"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#R3" target="_self">|-</a> <font color="Maroon">c<sub>8</sub></font>
 ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>9</sub></font> = <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="subset_1.html#K3">`</a>  as    <a href="prob_1.html#M2">Event</a> of  <a href="prob_1.html#K14">Borel_Sets</a>  <b>by </b><i><a class="ref" href="prob_1.html#T50">PROB_1:50</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>10</sub></font> = <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="subset_1.html#K3">`</a>  as    <a href="prob_1.html#M2">Event</a> of  <a href="prob_1.html#K14">Borel_Sets</a>  <b>by </b><i><a class="ref" href="prob_1.html#T50">PROB_1:50</a></i>;<br/>
<b>let </b><font color="Maroon">c<sub>11</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qmax_1.html#K3" target="_self">Sts</a> <font color="Maroon">c<sub>6</sub></font>; <i><font color="Red">:: according to </font></i><a class="ref" href="qmax_1.html#D10" target="_self">QMAX_1:def 10</a><br/>

<b>set </b><font color="Maroon">c<sub>12</sub></font> = <span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>9</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>13</sub></font> = <span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>10</sub></font>;<br/>
<a NAME="E4:33"/><i><font color="Green">E26</font></i>: 
( <span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="hidden.html#R1">=</a> 1 <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>10</sub></font></span>)</span> &amp; <span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="hidden.html#R1">=</a> 1 <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>9</sub></font></span>)</span> )
 
<b>by </b><i><a class="ref" href="qmax_1.html#T16" target="_self">Th16</a></i>;<br/>
<a NAME="E5:33"/><i><font color="Green">E27</font></i>: 
(  <a href="xcmplx_0.html#K4">-</a> <span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>9</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>9</sub></font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1 &amp;  <a href="xcmplx_0.html#K4">-</a> <span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>10</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>10</sub></font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1 )
 
;<br/>
<a NAME="E6:33"/>
<span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="qmax_1.html#E1:33"><i><font color="Green">E25</font></i></a>, <a class="ref" href="qmax_1.html#D10" target="_self">Def10</a></i>;<br/>
<a NAME="E7:33"/><b>then </b><i><font color="Green">E28</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>10</sub></font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1 <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">c<sub>9</sub></font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1
 
<b>by </b><i><a class="txt" href="qmax_1.html#E4:33"><i><font color="Green">E26</font></i></a>, <a class="txt" href="qmax_1.html#E5:33"><i><font color="Green">E27</font></i></a>, <a class="ref" href="xreal_1.html#T26">XREAL_1:26</a></i>;<br/>
<a NAME="E8:33"/>
( <span class="p1">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="qmax_1.html#K6" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a>  &amp; <span class="p1">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="qmax_1.html#K7" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="subset_1.html#K3">`</a>  &amp; <span class="p1">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="qmax_1.html#K6" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K6" target="_self">`1</a>  &amp; <span class="p1">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="qmax_1.html#K7" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="subset_1.html#K3">`</a>  )
 
<b>by </b><i><a class="ref" href="qmax_1.html#T26" target="_self">Th26</a></i>;<br/>
<b>hence </b><a NAME="E9:33"/>
<span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="qmax_1.html#K4" target="_self">Meas</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="qmax_1.html#K6" target="_self">`1</a> </span>)</span>,<font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="prob_1.html#K10">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K8" target="_self">'not'</a> <font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="qmax_1.html#K7" target="_self">`2</a> </span>)</span>
 <b>by </b><i><a class="txt" href="qmax_1.html#E7:33"><i><font color="Green">E28</font></i></a>, <a class="ref" href="xreal_1.html#T11">XREAL_1:11</a></i>;<br/>


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