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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E2">Th2</font></span>: <a NAME="T2"><span class="comment"><font color="firebrick">:: CQC_THE3:2</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>, <font color="Olive" title="b3">Y</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="cqc_lang.html#K3" title="CQC_LANG:func.3">CQC-WFF</a> <font color="Olive" title="b1">A</font></span>)</span>  st <font color="Olive" title="b2">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <font color="Olive" title="b3">Y</font> holds <br/> <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <font color="Olive" title="b2">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="cqc_the1.html#K1" title="CQC_THE1:func.1">Cn</a> <font color="Olive" title="b3">Y</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="cqc_the1.html#T15" onmouseover="rs('cqc_the1/T15')" onmouseout="rh()">CQC_THE1:15</a>, <a class="ref" href="cqc_the1.html#T16" onmouseover="rs('cqc_the1/T16')" onmouseout="rh()">CQC_THE1:16</a></span>;<br/></div></div>
