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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: TREES_9:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">t</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="trees_2.html#NM4" title="TREES_2:NM.4">DecoratedTree</a><br/>  for <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">p</font> being   <a href="trees_3.html#V6" title="TREES_3:attr.6">DTree-yielding</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>  st <font color="Olive" title="b1">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">x</font> <a href="trees_4.html#K4" title="TREES_4:func.4">-tree</a> <font color="Olive" title="b3">p</font> holds <br/> for <font color="Olive" title="b4">n</font> being   <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="trees_1.html#M1" title="TREES_1:mode.1">Element</a> of  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b1">t</font> holds   <a href="trees_9.html#K2" title="TREES_9:func.2">succ</a> (<font color="Olive" title="b1">t</font>,<font color="Olive" title="b4">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="trees_3.html#K15" title="TREES_3:func.15">roots</a> <font color="Olive" title="b3">p</font></div></div>
