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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th39</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: QC_LANG3:39</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">p</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><br/>  for <font color="Olive" title="b3">V</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="qc_lang1.html#K2" title="QC_LANG1:func.2">QC-variables</a> <font color="Olive" title="b1">A</font></span>)</span> holds   <a href="qc_lang3.html#K4" title="QC_LANG3:func.4">Vars</a> (<span class="p1">(<span class="default"><a href="qc_lang1.html#K13" title="QC_LANG1:func.13">'not'</a> <font color="Olive" title="b2">p</font></span>)</span>,<font color="Olive" title="b3">V</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang3.html#K4" title="QC_LANG3:func.4">Vars</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">V</font>)</div></div>
