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<b>let </b><font color="Maroon">S</font> be  non <a href="struct_0.html#V3">empty</a> non <a href="msualg_1.html#V2">void</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/><b>let </b><font color="Maroon">A</font> be  <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">V</font> be    <a href="msaterm.html#M4" target="_self">Variables</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">f</font> be    <a href="pboole.html#M3">ManySortedFunction</a> of <font color="Maroon">V</font>,the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">t</font> be   <a href="msaterm.html#NM3">c-Term</a> of <font color="Maroon">A</font>,<font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">vt</font> be  <a href="finset_1.html#V1">finite</a> <a href="trees_2.html#NM4">DecoratedTree</a>;<br/>











<b>assume </b><a NAME="E1:69"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">vt</font> <a href="msaterm.html#R1" target="_self">is_an_evaluation_of</a> <font color="Maroon">t</font>,<font color="Maroon">f</font>
 ;<br/>

<b>let </b><font color="Maroon">p</font> be   <a href="trees_4.html#NM1">Node</a> of <font color="Maroon">t</font>;<br/>

<b>reconsider </b><font color="Maroon">n</font> = <font color="Maroon">p</font> as   <a href="trees_4.html#NM1">Node</a> of <font color="Maroon">vt</font> <b>by </b><i>, </i>;<br/>
<a NAME="E3:69"/>
<font color="Maroon">vt</font> <a href="trees_2.html#K5">|</a> <font color="Maroon">n</font> <a href="msaterm.html#R1" target="_self">is_an_evaluation_of</a> <font color="Maroon">t</font> <a href="msaterm.html#K8" target="_self">|</a> <font color="Maroon">p</font>,<font color="Maroon">f</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:69"/><b>then </b>
( <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="msaterm.html#K8" target="_self">|</a> <font color="Maroon">p</font></span>)</span> <a href="msaterm.html#K9" target="_self">@</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">vt</font> <a href="trees_2.html#K5">|</a> <font color="Maroon">n</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <a href="numbers.html#K5">NAT</a> </span>)</span> &amp; <font color="Maroon">n</font> <a href="finseq_1.html#K7">^</a> <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">n</font> &amp;  <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">vt</font></span>)</span> <a href="trees_1.html#K4">|</a> <font color="Maroon">p</font> )
 
<b>by </b><i>, <a class="ref" href="finseq_1.html#T47">FINSEQ_1:47</a>, <a class="ref" href="trees_1.html#T47">TREES_1:47</a></i>;<br/>
<b>hence </b><a NAME="E5:69"/>
<font color="Maroon">vt</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="msaterm.html#K8" target="_self">|</a> <font color="Maroon">p</font></span>)</span> <a href="msaterm.html#K9" target="_self">@</a> <font color="Maroon">f</font>
 <b>by </b><i><a class="ref" href="trees_2.html#D11">TREES_2:def 11</a></i>;<br/>


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