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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">V</font> be  <a href="relat_1.html#V2">V5</a>  <a href="pboole.html#M1">ManySortedSet</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">t</font> be   <a href="msaterm.html#NM1">Term</a> of <font color="Maroon">S</font>,<font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">o</font> be   <a href="msualg_1.html#NM2">OperSymbol</a> of <font color="Maroon">S</font>;<br/>







<b>assume </b><a NAME="E1:28"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">t</font> <a href="funct_1.html#K1">.</a> <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">o</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font></span><a href="tarski.html#K4">]</a></span>
 ;<br/>

<b>set </b><font color="Maroon">X</font> = <font color="Maroon">V</font>;<br/>
<b>set </b><font color="Maroon">G</font> =  <a href="msafree.html#K5">DTConMSA</a> <font color="Maroon">V</font>;<br/>
<b>reconsider </b><font color="Maroon">t</font> = <font color="Maroon">t</font> as    <a href="dtconstr.html#M1">Element</a> of  <a href="dtconstr.html#K4">TS</a> <span class="p1">(<span class="default"><a href="msafree.html#K5">DTConMSA</a> <font color="Maroon">V</font></span>)</span> ;<br/>
<a NAME="E3:28"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">o</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R1">=</a>  <a href="msaterm.html#K2" target="_self">Sym</a> <font color="Maroon">o</font>,<font color="Maroon">V</font>
 
<b>by </b><i><a class="ref" href="msafree.html#D11">MSAFREE:def 11</a></i>;<br/>
<b>then consider </b><font color="Maroon">p</font> being    <a href="trees_4.html#M1">FinSequence</a> of  <a href="dtconstr.html#K4">TS</a> <span class="p1">(<span class="default"><a href="msafree.html#K5">DTConMSA</a> <font color="Maroon">V</font></span>)</span><b> such that </b><br/><a NAME="E5:28"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">t</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="msaterm.html#K2" target="_self">Sym</a> <font color="Maroon">o</font>,<font color="Maroon">V</font></span>)</span> <a href="trees_4.html#K12">-tree</a> <font color="Maroon">p</font> &amp;  <a href="msaterm.html#K2" target="_self">Sym</a> <font color="Maroon">o</font>,<font color="Maroon">V</font> <a href="lang1.html#R1">==&gt;</a>  <a href="dtconstr.html#K1">roots</a> <font color="Maroon">p</font> )
 <b>by </b><i>, <a class="ref" href="dtconstr.html#T10">DTCONSTR:10</a></i>;<br/>
<b>reconsider </b><font color="Maroon">a</font> = <font color="Maroon">p</font> as    <a href="trees_4.html#M1">FinSequence</a> of <font color="Maroon">S</font> <a href="msaterm.html#K1" target="_self">-Terms</a> <font color="Maroon">V</font> ;<br/>
<a NAME="E7:28"/>
<font color="Maroon">a</font> is    <a href="dtconstr.html#M2">SubtreeSeq</a> of  <a href="msaterm.html#K2" target="_self">Sym</a> <font color="Maroon">o</font>,<font color="Maroon">V</font>
 
<b>by </b><i>, <a class="ref" href="dtconstr.html#D9">DTCONSTR:def 9</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">a</font> = <font color="Maroon">a</font> as    <a href="msaterm.html#M1" target="_self">ArgumentSeq</a> of  <a href="msaterm.html#K2" target="_self">Sym</a> <font color="Maroon">o</font>,<font color="Maroon">V</font> <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">a</font>
;<br/>

<b>thus </b><a NAME="E9:28"/>
<font color="Maroon">t</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">o</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font></span><a href="tarski.html#K4">]</a></span> <a href="trees_4.html#K4">-tree</a> <font color="Maroon">a</font>
 <b>by </b><i>, <a class="ref" href="msafree.html#D11">MSAFREE:def 11</a></i>;<br/>


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