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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: HILBERT2:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds   <a href="hilbert2.html#K3" title="HILBERT2:func.3">Subformulae</a> <span class="p1">(<span class="default"><a href="hilbert2.html#K1" title="HILBERT2:func.1">prop</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="trees_4.html#K2" title="TREES_4:func.2">root-tree</a> <span class="p1">(<span class="default"><a href="hilbert2.html#K1" title="HILBERT2:func.1">prop</a> <font color="Olive" title="b1">n</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="hilbert2.html#D9" target="_self" onmouseover="rs('hilbert2/D9')" onmouseout="rh()">Def9</a></span>;<br/></div></div>
