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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th11</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: QMAX_1:12</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">B</font>, <font color="Olive" title="b3">C</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="qmax_1.html#K5" title="QMAX_1:func.5">Prop</a> <font color="Olive" title="b1">Q</font></span>)</span>  st <font color="Olive" title="b2">B</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="eqrel_1.html#K8" title="EQREL_1:func.8">Class</a> <span class="p1">(<span class="default"><a href="qmax_1.html#K9" title="QMAX_1:func.9">PropRel</a> <font color="Olive" title="b1">Q</font></span>)</span> &amp; <font color="Olive" title="b3">C</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="eqrel_1.html#K8" title="EQREL_1:func.8">Class</a> <span class="p1">(<span class="default"><a href="qmax_1.html#K9" title="QMAX_1:func.9">PropRel</a> <font color="Olive" title="b1">Q</font></span>)</span> holds <br/> for <font color="Olive" title="b4">p1</font>, <font color="Olive" title="b5">q1</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>  st <font color="Olive" title="b4">p1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">B</font> &amp; <font color="Olive" title="b5">q1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">B</font> &amp;  <a href="qmax_1.html#K8" title="QMAX_1:func.8">'not'</a> <font color="Olive" title="b4">p1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">C</font> holds <br/> <a href="qmax_1.html#K8" title="QMAX_1:func.8">'not'</a> <font color="Olive" title="b5">q1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">C</font></div></div>
