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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: QC_LANG2:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="qc_lang1.html#M1" title="QC_LANG1:mode.1">QC-alphabet</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="qc_lang1.html#NM5" title="QC_LANG1:NM.5">bound_QC-variable</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">H</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="qc_lang1.html#K9" title="QC_LANG1:func.9">QC-WFF</a> <font color="Olive" title="b1">A</font> holds   <a href="qc_lang1.html#K18" title="QC_LANG1:func.18">the_argument_of</a> <span class="p1">(<span class="default"><a href="qc_lang2.html#K5" title="QC_LANG2:func.5">Ex</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">H</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang1.html#K15" title="QC_LANG1:func.15">All</a> (<font color="Olive" title="b2">x</font>,<span class="p1">(<span class="default"><a href="qc_lang1.html#K13" title="QC_LANG1:func.13">'not'</a> <font color="Olive" title="b3">H</font></span>)</span>) <span class="kw">by</span> <span class="lab"><a class="ref" href="qc_lang2.html#T1" target="_self" onmouseover="rs('qc_lang2/T1')" onmouseout="rh()">Th1</a></span>;<br/></div></div>
