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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th25</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: CQC_THE3:25</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">Y</font>, <font color="Olive" title="b3">X1</font>, <font color="Olive" title="b4">X2</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="b3">X1</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Olive" title="b4">X2</font> holds <br/><font color="Olive" title="b3">X1</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b2">Y</font> <a href="cqc_the3.html#R4" title="CQC_THE3:pred.4">|-|</a> <font color="Olive" title="b4">X2</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b2">Y</font></div></div>
