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<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:28"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="lang1.html#K6">NonTerminals</a> <a href="dtconstr.html#K5" target="_self">PeanoNat</a> 
 ;<br/>

<b>then consider </b><font color="Maroon">y</font> being   <a href="lang1.html#NM1">Symbol</a> of <a href="dtconstr.html#K5" target="_self">PeanoNat</a> <b> such that </b><br/><a NAME="E3:28"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> &amp;  ex <font color="Olive">tnt</font> being  <a href="finseq_1.html#NM1">FinSequence</a> st <font color="Maroon">y</font> <a href="lang1.html#R1">==&gt;</a> <font color="Olive">tnt</font> )
 <b>by </b><i/>;<br/>
<a NAME="E4:28"/>
( <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">O</font> or <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S</font> )
 
<b>by </b><i>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:28"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">S</font></span><a href="domain_1.html#K6">}</a></span>
 <b>by </b><i>, , <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>


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