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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th1</font></span>: <a NAME="T1"><span class="comment"><font color="firebrick">:: QMAX_1:1</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Q</font> being   <a href="qmax_1.html#NM1" title="QMAX_1:NM.1">Quantum_Mechanics</a><br/>  for <font color="Olive" title="b2">s</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="qmax_1.html#K3" title="QMAX_1:func.3">Sts</a> <font color="Olive" title="b1">Q</font><br/>  for <font color="Olive" title="b3">p</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="qmax_1.html#K5" title="QMAX_1:func.5">Prop</a> <font color="Olive" title="b1">Q</font><br/>  for <font color="Olive" title="b4">E</font> being    <a href="prob_1.html#M1" title="PROB_1:mode.1">Event</a> of  <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>   st <font color="Olive" title="b4">E</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">p</font> <a href="qmax_1.html#K7" title="QMAX_1:func.7">`2</a></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  holds <br/><span class="p1">(<span class="default"><a href="qmax_1.html#K4" title="QMAX_1:func.4">Meas</a> (<span class="p2">(<span class="default"><font color="Olive" title="b3">p</font> <a href="qmax_1.html#K6" title="QMAX_1:func.6">`1</a></span>)</span>,<font color="Olive" title="b2">s</font>)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">p</font> <a href="qmax_1.html#K7" title="QMAX_1:func.7">`2</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qmax_1.html#K4" title="QMAX_1:func.4">Meas</a> (<span class="p3">(<span class="default"><font color="Olive" title="b3">p</font> <a href="qmax_1.html#K6" title="QMAX_1:func.6">`1</a></span>)</span>,<font color="Olive" title="b2">s</font>)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">E</font></span>)</span></div></div>
