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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="E1:68"/><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>consider </b><font color="Maroon">e</font> being  <a href="finset_1.html#V1">finite</a> <a href="trees_2.html#NM4">DecoratedTree</a><b> such that </b><br/><a NAME="E3:68"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">e</font> <a href="msaterm.html#R1" target="_self">is_an_evaluation_of</a> <font color="Maroon">t</font>,<font color="Maroon">f</font> &amp; <font color="Maroon">t</font> <a href="msaterm.html#K9" target="_self">@</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">e</font> <a href="funct_1.html#K1">.</a> <a href="xboole_0.html#K1">{}</a>  )
 <b>by </b><i><a class="ref" href="msaterm.html#T1" target="_self">Th1</a></i>;<br/>
<b>thus </b><a NAME="E4:68"/>
<font color="Maroon">t</font> <a href="msaterm.html#K9" target="_self">@</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">vt</font> <a href="funct_1.html#K1">.</a> <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i>, <a class="txt" href="msaterm.html#E6"><i><font color="Green">Lemma46</font></i></a>, <a class="ref" href="msaterm.html#D2" target="_self">Def2</a></i>;<br/>


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