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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: TREES_2:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="trees_2.html#V1" title="TREES_2:attr.1">finite-order</a>  <a href="trees_1.html#NM1" title="TREES_1:NM.1">Tree</a>  st (  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  ex <font color="Olive" title="b3">C</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="trees_2.html#M1" title="TREES_2:mode.1">Chain</a> of <font color="Olive" title="b1">T</font> st  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b3">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">n</font> ) holds <br/> ex <font color="Olive" title="b2">B</font> being    <a href="trees_2.html#M1" title="TREES_2:mode.1">Chain</a> of <font color="Olive" title="b1">T</font> st  not <font color="Olive" title="b2">B</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> </div></div>
