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<b>let </b><font color="Maroon">t</font> be   <a href="trees_2.html#NM4">DecoratedTree</a>;<br/>

<b>assume </b><a NAME="E1:21_1_1"/>
<font color="Maroon">t</font> is <a href="finset_1.html#V1">finite</a>
 ;<br/>

<a NAME="E2:21_1_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">t</font> is  <a href="finset_1.html#V1">finite</a> <a href="trees_1.html#NM1">Tree</a>
 
<b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a></i>;<br/>
<b>hence </b><a NAME="E3:21_1_1"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">t</font> is <a href="trees_2.html#V1">finite-order</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="trees_9.html#D3" target="_self">TREES_9:def 3</a><br/>


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