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<div>:: <span class="kw">deftheorem </span>   defines <a href="goedelcp.html#V2" title="GOEDELCP:attr.2">with_examples</a> <a onclick="hs(this)" href="javascript:()">GOEDELCP:def 2 : <br/></a><span> 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="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="cqc_lang.html#K3" title="CQC_LANG:func.3">CQC-WFF</a> <font color="Olive" title="b1">Al</font></span>)</span> holds <br/> ( <font color="Olive" title="b2">X</font> is  <a href="goedelcp.html#V2" title="GOEDELCP:attr.2">with_examples</a>  iff  for <font color="Olive" title="b3">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="b4">p</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">Al</font>  ex <font color="Olive" title="b5">y</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> st <font color="Olive" title="b2">X</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K6" title="CQC_LANG:func.6">'not'</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K12" title="CQC_LANG:func.12">Ex</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">p</font>)</span>)</span></span>)</span> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">'or'</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">p</font> <a href="substut2.html#K4" title="SUBSTUT2:func.4">.</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b5">y</font>)</span>)</span> );<br/></span></div>
