<?xml version="1.0"?>
<div class="add">

<b>consider </b><font color="Maroon">c<sub>11</sub></font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="dtconstr.html#K4" target="_self">TS</a> <font color="Maroon">c<sub>8</sub></font>,<span class="p1">(<span class="default"><a href="lang1.html#K5">Terminals</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="finseq_2.html#K3">*</a> <b> such that </b><br/><a NAME="E2:55_2_1"/><i><font color="Green">E40</font></i>: 
( ( for <font color="Olive">b<sub>1</sub></font> being  <a href="lang1.html#NM1">Symbol</a> of <font color="Maroon">c<sub>8</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="lang1.html#K5">Terminals</a> <font color="Maroon">c<sub>8</sub></font> holds <br/><font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="trees_4.html#K2">root-tree</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>7</sub></font>(<font color="Olive">b<sub>1</sub></font>) ) &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="lang1.html#NM1">Symbol</a> of <font color="Maroon">c<sub>8</sub></font><br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="trees_4.html#M1">FinSequence</a> of  <a href="dtconstr.html#K4" target="_self">TS</a> <font color="Maroon">c<sub>8</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="lang1.html#R1">==&gt;</a>  <a href="dtconstr.html#K1" target="_self">roots</a> <font color="Olive">b<sub>2</sub></font> holds <br/><font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="trees_4.html#K12">-tree</a> <font color="Olive">b<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>8</sub></font>(<font color="Olive">b<sub>1</sub></font>, <a href="dtconstr.html#K1" target="_self">roots</a> <font color="Olive">b<sub>2</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="finseqop.html#K5">*</a> <font color="Olive">b<sub>2</sub></font>) ) )
 <b>from </b><i><a class="ref" href="dtconstr.html#S8" target="_self">DTCONSTR:sch 8</a>();<br/></i>
<a NAME="E3:55_2_1"/>
<font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>9</sub></font> is    <a href="finseq_2.html#M2">Element</a> of <span class="p1">(<span class="default"><a href="lang1.html#K5">Terminals</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="finseq_2.html#K3">*</a> 
 
<b>by </b><i><a class="txt" href="dtconstr.html#E1:55"><i><font color="Green">E37</font></i></a>, <a class="ref" href="funct_2.html#T7">FUNCT_2:7</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>12</sub></font> = <font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>9</sub></font> as    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="lang1.html#K5">Terminals</a> <font color="Maroon">c<sub>8</sub></font> ;<br/>
<b>take </b>
<font color="Maroon">c<sub>12</sub></font>
;<br/>

<b>take </b>
<font color="Maroon">c<sub>11</sub></font>
;<br/>

<b>thus </b><a NAME="E5:55_2_1"/>
<font color="Maroon">c<sub>12</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>9</sub></font>
 ;<br/>

<div><b>hereby </b>
<div class="add"><b>let </b><font color="Maroon">c<sub>13</sub></font> be   <a href="lang1.html#NM1">Symbol</a> of <font color="Maroon">c<sub>8</sub></font>;<br/><b>assume </b><a NAME="E1:55_2_1_1"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">c<sub>13</sub></font> <a href="hidden.html#R2">in</a>  <a href="lang1.html#K5">Terminals</a> <font color="Maroon">c<sub>8</sub></font>
 ;<br/><a NAME="E2:55_2_1_1"/><b>then </b>
<font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="trees_4.html#K2">root-tree</a> <font color="Maroon">c<sub>13</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>10</sub></font> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>13</sub></font>
 <b>by </b><i><a class="txt" href="dtconstr.html#E2:55_2_1"><i><font color="Green">E40</font></i></a></i>;<br/><b>hence </b><a NAME="E3:55_2_1_1"/>
<font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="trees_4.html#K2">root-tree</a> <font color="Maroon">c<sub>13</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">c<sub>13</sub></font></span><a href="lang1.html#K3">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="dtconstr.html#E4:55"><i><font color="Green">E39</font></i></a>, <a class="txt" href="dtconstr.html#E1:55_2_1_1"><i><font color="Green">E41</font></i></a></i>;<br/></div>
<b>end;</b></div>

<b>thus </b><a NAME="E7:55_2_1"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="lang1.html#NM1">Symbol</a> of <font color="Maroon">c<sub>8</sub></font><br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="trees_4.html#M1">FinSequence</a> of  <a href="dtconstr.html#K4" target="_self">TS</a> <font color="Maroon">c<sub>8</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="lang1.html#R1">==&gt;</a>  <a href="dtconstr.html#K1" target="_self">roots</a> <font color="Olive">b<sub>2</sub></font> holds <br/><font color="Maroon">c<sub>11</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="trees_4.html#K12">-tree</a> <font color="Olive">b<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="dtconstr.html#K15" target="_self">FlattenSeq</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="finseqop.html#K5">*</a> <font color="Olive">b<sub>2</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="dtconstr.html#E2:55_2_1"><i><font color="Green">E40</font></i></a></i>;<br/>


</div>
