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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E84">Th85</font></span>: <a NAME="T85"><span class="comment"><font color="firebrick">:: SUBLEMMA:85</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Al</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> being   <a href="qc_lang1.html#NM5" title="QC_LANG1:NM.5">bound_QC-variable</a> of <font color="Olive" title="b1">Al</font><br/>  for <font color="Olive" title="b3">S</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="substut1.html#K38" title="SUBSTUT1:func.38">CQC-Sub-WFF</a> <font color="Olive" title="b1">Al</font><br/>  for <font color="Olive" title="b4">xSQ</font> being    <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <span class="p1"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><font color="Olive" title="b3">S</font>,<font color="Olive" title="b2">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span>  st <span class="p1"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><font color="Olive" title="b3">S</font>,<font color="Olive" title="b2">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span> is  <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a>  holds <br/> <a href="substut1.html#K2" title="SUBSTUT1:func.2">@</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sublemma.html#K9" title="SUBLEMMA:func.9">CQCSub_All</a> (<span class="p3"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><font color="Olive" title="b3">S</font>,<font color="Olive" title="b2">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span>,<font color="Olive" title="b4">xSQ</font>)</span>)</span> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2" title="SUBSTUT1:func.2">@</a> <span class="p3">(<span class="default"><a href="substut1.html#K7" title="SUBSTUT1:func.7">RestrictSub</a> (<font color="Olive" title="b2">x</font>,<span class="p4">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Olive" title="b2">x</font>,<span class="p5">(<span class="default"><font color="Olive" title="b3">S</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span>)</span>)</span>,<font color="Olive" title="b4">xSQ</font>)</span>)</span></span>)</span> <a href="sublemma.html#K14" title="SUBLEMMA:func.14">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2" title="SUBSTUT1:func.2">@</a> <font color="Olive" title="b4">xSQ</font></span>)</span> <a href="relset_1.html#K5" title="RELSET_1:func.5">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K15" title="SUBLEMMA:func.15">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Olive" title="b2">x</font>,<span class="p5">(<span class="default"><font color="Olive" title="b3">S</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span>)</span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K14" title="SUBLEMMA:func.14">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2" title="SUBSTUT1:func.2">@</a> <font color="Olive" title="b4">xSQ</font></span>)</span> <a href="relset_1.html#K5" title="RELSET_1:func.5">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K16" title="SUBLEMMA:func.16">RSub2</a> (<span class="p3">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Olive" title="b2">x</font>,<span class="p4">(<span class="default"><font color="Olive" title="b3">S</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span>)</span>)</span>,<font color="Olive" title="b4">xSQ</font>)</span>)</span></span>)</span></div></div>
