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<div><span class="kw">theorem </span><a NAME="T93"><span class="comment"><font color="firebrick">:: QC_LANG2:93</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">F</font>, <font color="Olive" title="b3">G</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_lang2.html#K15" title="QC_LANG2:func.15">Subformulae</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F</font> <a href="qc_lang2.html#K4" title="QC_LANG2:func.4">&lt;=&gt;</a> <font color="Olive" title="b3">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang2.html#K15" title="QC_LANG2:func.15">Subformulae</a> <font color="Olive" title="b2">F</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2">(<span class="default"><a href="qc_lang2.html#K15" title="QC_LANG2:func.15">Subformulae</a> <font color="Olive" title="b3">G</font></span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="enumset1.html#K5" title="ENUMSET1:func.5">{</a><span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K13" title="QC_LANG1:func.13">'not'</a> <font color="Olive" title="b3">G</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b2">F</font> <a href="qc_lang1.html#K14" title="QC_LANG1:func.14">'&amp;'</a> <span class="p3">(<span class="default"><a href="qc_lang1.html#K13" title="QC_LANG1:func.13">'not'</a> <font color="Olive" title="b3">G</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b2">F</font> <a href="qc_lang2.html#K2" title="QC_LANG2:func.2">=&gt;</a> <font color="Olive" title="b3">G</font></span>)</span>,<span class="p2">(<span class="default"><a href="qc_lang1.html#K13" title="QC_LANG1:func.13">'not'</a> <font color="Olive" title="b2">F</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b3">G</font> <a href="qc_lang1.html#K14" title="QC_LANG1:func.14">'&amp;'</a> <span class="p3">(<span class="default"><a href="qc_lang1.html#K13" title="QC_LANG1:func.13">'not'</a> <font color="Olive" title="b2">F</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b3">G</font> <a href="qc_lang2.html#K2" title="QC_LANG2:func.2">=&gt;</a> <font color="Olive" title="b2">F</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b2">F</font> <a href="qc_lang2.html#K4" title="QC_LANG2:func.4">&lt;=&gt;</a> <font color="Olive" title="b3">G</font></span>)</span></span><a href="enumset1.html#K5" title="ENUMSET1:func.5">}</a></span></div></div>
