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<div>:: <span class="kw">deftheorem </span>   defines <a href="substut1.html#R1" title="SUBSTUT1:pred.1">PQSub</a> <a onclick="hs(this)" href="javascript:()">SUBSTUT1:def 14 : <br/></a><span> 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> being   <a href="qc_lang1.html#NM10" title="QC_LANG1:NM.10">QC-formula</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">Sub</font> being   <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b4">b</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">Sub</font> <a href="substut1.html#R1" title="SUBSTUT1:pred.1">PQSub</a> <font color="Olive" title="b4">b</font> iff ( ( <font color="Olive" title="b2">p</font> is  <a href="qc_lang1.html#V5" title="QC_LANG1:attr.5">universal</a>  implies <font color="Olive" title="b4">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K14" title="SUBSTUT1:func.14">ExpandSub</a> (<span class="p1">(<span class="default"><a href="qc_lang1.html#K21" title="QC_LANG1:func.21">bound_in</a> <font color="Olive" title="b2">p</font></span>)</span>,<span class="p1">(<span class="default"><a href="qc_lang1.html#K22" title="QC_LANG1:func.22">the_scope_of</a> <font color="Olive" title="b2">p</font></span>)</span>,<span class="p1">(<span class="default"><a href="substut1.html#K7" title="SUBSTUT1:func.7">RestrictSub</a> (<span class="p2">(<span class="default"><a href="qc_lang1.html#K21" title="QC_LANG1:func.21">bound_in</a> <font color="Olive" title="b2">p</font></span>)</span>,<font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">Sub</font>)</span>)</span>) ) &amp; (  not <font color="Olive" title="b2">p</font> is  <a href="qc_lang1.html#V5" title="QC_LANG1:attr.5">universal</a>  implies <font color="Olive" title="b4">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) ) );<br/></span></div>
