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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: HILBERT1:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="hilbert1.html#K1" title="HILBERT1:func.1">HP-WFF</a> holds <br/> ( <font color="Olive" title="b1">T</font> is  <a href="hilbert1.html#V6" title="HILBERT1:attr.6">Hilbert_theory</a>  iff  <a href="hilbert1.html#K5" title="HILBERT1:func.5">CnPos</a> <font color="Olive" title="b1">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">T</font> )</div></div>
