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<a NAME="E1:39_1_1"/>
 <a href="trees_3.html#K2" title="TREES_3:func.2">FinTrees</a>  is  <a href="trees_3.html#V2" title="TREES_3:attr.2">constituted-FinTrees</a> 
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="trees_3.html#D4" target="_self" title="TREES_3:def.4">TREES_3:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="trees_3.html#K2" title="TREES_3:func.2">FinTrees</a>  implies <font color="Maroon" title="c1">x</font> is   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="trees_1.html#NM1" title="TREES_1:NM.1">Tree</a> )</span><br/>

<span class="kw">thus </span><a NAME="E1:39_1_1_1"/>
( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="trees_3.html#K2" title="TREES_3:func.2">FinTrees</a>  implies <font color="Maroon" title="c1">x</font> is   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="trees_1.html#NM1" title="TREES_1:NM.1">Tree</a> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="trees_3.html#D2" target="_self" title="TREES_3:def.2">Def2</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E2:39_1_1"/>
 <a href="trees_3.html#K2" title="TREES_3:func.2">FinTrees</a>  is  <a href="trees_3.html#V2" title="TREES_3:attr.2">constituted-FinTrees</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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