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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: GOEDELCP:31</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">CX</font> being   <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a>  <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>  st <font color="Olive" title="b1">Al</font> is  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>  &amp;  <a href="goedelcp.html#K6" title="GOEDELCP:func.6">still_not-bound_in</a> <font color="Olive" title="b2">CX</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  holds <br/> ex <font color="Olive" title="b3">CY</font> being   <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a>  <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> st <br/>( <font color="Olive" title="b2">CX</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">CY</font> &amp; <font color="Olive" title="b3">CY</font> is  <a href="goedelcp.html#V2" title="GOEDELCP:attr.2">with_examples</a>  )</div></div>
