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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E9">Def2</font></span>   defines <a href="dtconstr.html#K5" title="DTCONSTR:func.5">PeanoNat</a> <a onclick="hs(this)" href="javascript:()">DTCONSTR:def 2 : <br/></a><span> for <font color="Olive">b<sub>1</sub></font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lang1.html#V1" title="LANG1:attr.1">strict</a>   <a href="lang1.html#L1" title="LANG1:struct.1">DTConstrStr</a>  holds <br/> ( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dtconstr.html#K5" title="DTCONSTR:func.5">PeanoNat</a>  iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,1</span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span> &amp; (  for <font color="Olive" title="b2">x</font> being   <a href="lang1.html#NM1" title="LANG1:NM.1">Symbol</a> of <font color="Olive">b<sub>1</sub></font><br/>  for <font color="Olive" title="b3">y</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>1</sub></font> holds <br/> ( <font color="Olive" title="b2">x</font> <a href="lang1.html#R1" title="LANG1:pred.1">==&gt;</a> <font color="Olive" title="b3">y</font> iff ( <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; ( <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><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> or <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="pre_poly.html#K3" title="PRE_POLY:func.3">&lt;*</a><span class="default">1</span><a href="pre_poly.html#K3" title="PRE_POLY:func.3">*&gt;</a></span> ) ) ) ) ) );<br/></span></div>
