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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th16</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: QC_TRANS:16</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">Al2</font> being  <font color="Olive">b<sub>1</sub></font> <a href="qc_trans.html#V1" title="QC_TRANS:attr.1">-expanding</a>   <a href="qc_lang1.html#M1" title="QC_LANG1:mode.1">QC-alphabet</a> <br/>  for <font color="Olive" title="b3">Z</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">Z2</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="b2">Al2</font>  st <font color="Olive" title="b3">Z</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a>  is  <a href="qc_lang1.html#V5" title="QC_LANG1:attr.5">universal</a>  &amp; <font color="Olive" title="b4">Z2</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a>  is  <a href="qc_lang1.html#V5" title="QC_LANG1:attr.5">universal</a>  &amp;  <a href="qc_lang1.html#K21" title="QC_LANG1:func.21">bound_in</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">Z</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang1.html#K21" title="QC_LANG1:func.21">bound_in</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">Z2</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span> &amp;  <a href="qc_lang1.html#K22" title="QC_LANG1:func.22">the_scope_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">Z</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang1.html#K22" title="QC_LANG1:func.22">the_scope_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">Z2</font> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span> &amp; <font color="Olive" title="b3">Z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">Z2</font> holds <br/> <a href="substut1.html#K35" title="SUBSTUT1:func.35">S_Bound</a> <span class="p1">(<span class="default"><a href="substut1.html#K32" title="SUBSTUT1:func.32">@</a> <font color="Olive" title="b3">Z</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K35" title="SUBSTUT1:func.35">S_Bound</a> <span class="p1">(<span class="default"><a href="substut1.html#K32" title="SUBSTUT1:func.32">@</a> <font color="Olive" title="b4">Z2</font></span>)</span></div></div>
