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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E31">Th33</font></span>: <a NAME="T33"><span class="comment"><font color="firebrick">:: CQC_SIM1:33</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>, <font color="Olive" title="b3">q</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K3" title="CQC_LANG:func.3">CQC-WFF</a> <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b4">x</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="qc_lang1.html#K3" title="QC_LANG1:func.3">bound_QC-variables</a> <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b5">t</font> being   <a href="qc_lang1.html#NM2" title="QC_LANG1:NM.2">QC-symbol</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b6">K</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="finsub_1.html#K5" title="FINSUB_1:func.5">Fin</a> <span class="p1">(<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><br/>  for <font color="Olive" title="b7">f</font> being    <a href="funct_2.html#M2" title="FUNCT_2:mode.2">Element</a> of  <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<span class="p1">(<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 class="p1">(<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>)  st <span class="p1"><a href="domain_1.html#K5" title="DOMAIN_1:func.5">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Olive" title="b4">x</font>,<font color="Olive" title="b3">q</font>)</span>)</span>,<font color="Olive" title="b5">t</font>,<font color="Olive" title="b6">K</font>,<font color="Olive" title="b7">f</font></span><a href="domain_1.html#K5" title="DOMAIN_1:func.5">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="cqc_sim1.html#K15" title="CQC_SIM1:func.15">SepQuadruples</a> <font color="Olive" title="b2">p</font> holds <br/><span class="p1"><a href="xtuple_0.html#K6" title="XTUPLE_0:func.6">[</a><span class="default"><font color="Olive" title="b3">q</font>,<span class="p2">(<span class="default"><font color="Olive" title="b5">t</font> <a href="qc_lang1.html#K28" title="QC_LANG1:func.28">++</a></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b6">K</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p3"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b7">f</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><font color="Olive" title="b4">x</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p4">(<span class="default"><a href="qc_lang3.html#K2" title="QC_LANG3:func.2">x.</a> <font color="Olive" title="b5">t</font></span>)</span></span>)</span></span>)</span></span><a href="xtuple_0.html#K6" title="XTUPLE_0:func.6">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cqc_sim1.html#K15" title="CQC_SIM1:func.15">SepQuadruples</a> <font color="Olive" title="b2">p</font></div></div>
