<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E7">Def3</font></span>   defines <a href="trees_2.html#M1" title="TREES_2:mode.1">Chain</a> <a onclick="hs(this)" href="javascript:()">TREES_2:def 3 : <br/></a><span> for <font color="Olive" title="b1">W</font> being   <a href="trees_1.html#NM1" title="TREES_1:NM.1">Tree</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">W</font> holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="trees_2.html#M1" title="TREES_2:mode.1">Chain</a> of <font color="Olive" title="b1">W</font> iff  for <font color="Olive" title="b3">p</font>, <font color="Olive" title="b4">q</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b3">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> &amp; <font color="Olive" title="b4">q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> holds <br/><font color="Olive" title="b3">p</font>,<font color="Olive" title="b4">q</font> <a href="xboole_0.html#R3" title="XBOOLE_0:pred.3">are_c=-comparable</a>  );<br/></span></div>
