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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: GOEDELCP:15</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><br/>  for <font color="Olive" title="b3">JH</font> being    <a href="henmodel.html#M1" title="HENMODEL:mode.1">Henkin_interpretation</a> of <font color="Olive" title="b2">CX</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>  st  <a href="cqc_sim1.html#K7" title="CQC_SIM1:func.7">QuantNbr</a> <font color="Olive" title="b4">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Olive" title="b2">CX</font> is  <a href="goedelcp.html#V1" title="GOEDELCP:attr.1">negation_faithful</a>  &amp; <font color="Olive" title="b2">CX</font> is  <a href="goedelcp.html#V2" title="GOEDELCP:attr.2">with_examples</a>  holds <br/>( <font color="Olive" title="b3">JH</font>, <a href="henmodel.html#K3" title="HENMODEL:func.3">valH</a> <font color="Olive" title="b1">Al</font> <a href="valuat_1.html#R1" title="VALUAT_1:pred.1">|=</a> <font color="Olive" title="b4">p</font> iff <font color="Olive" title="b2">CX</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a> <font color="Olive" title="b4">p</font> )</div></div>
