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<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: CQC_SIM1:37</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">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">l</font> being   <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Olive" title="b2">k</font>,<font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b4">P</font> being   <a href="qc_lang1.html#NM8" title="QC_LANG1:NM.8">QC-pred_symbol</a> of <font color="Olive" title="b2">k</font>,<font color="Olive" title="b1">A</font> holds   <a href="cqc_sim1.html#K15" title="CQC_SIM1:func.15">SepQuadruples</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">P</font> <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">!</a> <font color="Olive" title="b3">l</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2"><a href="domain_1.html#K5" title="DOMAIN_1:func.5">[</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b4">P</font> <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">!</a> <font color="Olive" title="b3">l</font></span>)</span>,<span class="p3">(<span class="default"><a href="cqc_sim1.html#K13" title="CQC_SIM1:func.13">index</a> <span class="p4">(<span class="default"><font color="Olive" title="b4">P</font> <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">!</a> <font color="Olive" title="b3">l</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="setwiseo.html#K1" title="SETWISEO:func.1">{}.</a> <span class="p4">(<span class="default"><a href="qc_lang1.html#K3" title="QC_LANG1:func.3">bound_QC-variables</a> <font color="Olive" title="b1">A</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="cqc_sim1.html#K11" title="CQC_SIM1:func.11">id</a> <span class="p4">(<span class="default"><a href="qc_lang1.html#K3" title="QC_LANG1:func.3">bound_QC-variables</a> <font color="Olive" title="b1">A</font></span>)</span></span>)</span></span><a href="domain_1.html#K5" title="DOMAIN_1:func.5">]</a></span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></div></div>
