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<b>let </b><font color="Maroon" title="c3">tr1</font>, <font color="Maroon" title="c4">tr2</font> be  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="trees_2.html#NM6" title="TREES_2:NM.6">DecoratedTree</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">s</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:13_1_1"/><i><font color="Green" title="E4">A2</font></i>: 
for <font color="Olive" title="b1">Tr</font> being <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="trees_2.html#NM6" title="TREES_2:NM.6">DecoratedTree</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">s</font> holds <br/> ( <font color="Olive" title="b1">Tr</font> <a href="prelamb.html#R1" title="PRELAMB:pred.1">represents</a> <font color="Maroon" title="c2">x</font> iff <font color="Maroon" title="c3">tr1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">Tr</font> )
 <b>and </b><br/><a NAME="E2:13_1_1"/><i><font color="Green" title="E5">A3</font></i>: 
for <font color="Olive" title="b1">Tr</font> being <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="trees_2.html#NM6" title="TREES_2:NM.6">DecoratedTree</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">s</font> holds <br/> ( <font color="Olive" title="b1">Tr</font> <a href="prelamb.html#R1" title="PRELAMB:pred.1">represents</a> <font color="Maroon" title="c2">x</font> iff <font color="Maroon" title="c4">tr2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">Tr</font> )
 ;<br/>

<a NAME="E3:13_1_1"/>
<font color="Maroon" title="c3">tr1</font> <a href="prelamb.html#R1" title="PRELAMB:pred.1">represents</a> <font color="Maroon" title="c2">x</font>
 
<b>by </b><i><a class="txt" href="prelamb.html#E1:13_1_1"><i><font color="Green" title="E4">A2</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:13_1_1"/>
<font color="Maroon" title="c3">tr1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">tr2</font>
 <b>by </b><i><a class="txt" href="prelamb.html#E2:13_1_1"><i><font color="Green" title="E5">A3</font></i></a></i>;<br/>


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