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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: DTCONSTR:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">nt</font> being   <a href="lang1.html#NM1" title="LANG1:NM.1">Symbol</a> of <a href="dtconstr.html#K5" title="DTCONSTR:func.5">PeanoNat</a> holds <br/> ( ( <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  implies  <a href="dtconstr.html#K20" title="DTCONSTR:func.20">PostTraversalLanguage</a> <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2"><a href="pre_poly.html#K3" title="PRE_POLY:func.3">&lt;*</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="pre_poly.html#K3" title="PRE_POLY:func.3">*&gt;</a></span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> ) &amp; ( <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 implies  <a href="dtconstr.html#K20" title="DTCONSTR:func.20">PostTraversalLanguage</a> <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><span class="p3"><a href="pre_poly.html#K3" title="PRE_POLY:func.3">&lt;*</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="pre_poly.html#K3" title="PRE_POLY:func.3">*&gt;</a></span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p3">(<span class="default"><font color="Olive" title="b2">n</font> <a href="finseq_2.html#K5" title="FINSEQ_2:func.5">|-&gt;</a> 1</span>)</span></span>)</span> where <font color="Olive" title="b2">n</font> is    <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>  : <font color="Olive" title="b2">n</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  </span> } </span>  ) )</div></div>
