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

<b>let </b><font color="Maroon">c<sub>10</sub></font> be   <a href="dtconstr.html#NM2">Terminal</a> of <a href="scm_comp.html#K1" target="_self">SCM-AE</a> ;<br/><b>let </b><font color="Maroon">c<sub>11</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>



<b>consider </b><font color="Maroon">c<sub>12</sub></font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="numbers.html#K5">NAT</a> ,the <a href="ami_1.html#U4">Instructions</a> of <a href="ami_3.html#K1">SCM</a>  <a href="finseq_2.html#K3">*</a> <b> such that </b><br/><a NAME="E2:21"/><i><font color="Green">E16</font></i>: 
( <font color="Maroon">c<sub>12</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>9</sub></font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="scm_comp.html#K3" target="_self">root-tree</a> <font color="Maroon">c<sub>10</sub></font></span>)</span> &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">c<sub>12</sub></font> <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="lang1.html#K3">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K15">dl.</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="ami_3.html#K3">:=</a> <span class="p3">(<span class="default"><a href="scm_comp.html#K4" target="_self">@</a> <font color="Maroon">c<sub>10</sub></font></span>)</span></span>)</span></span><a href="lang1.html#K3">*&gt;</a></span> ) )
 <b>by </b><i><a class="txt" href="scm_comp.html#E27"><i><font color="Green">Lemma14</font></i></a></i>;<br/>
<a NAME="E3:21"/>
<font color="Maroon">c<sub>12</sub></font> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>11</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="lang1.html#K3">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K15">dl.</a> <font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="ami_3.html#K3">:=</a> <span class="p3">(<span class="default"><a href="scm_comp.html#K4" target="_self">@</a> <font color="Maroon">c<sub>10</sub></font></span>)</span></span>)</span></span><a href="lang1.html#K3">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scm_comp.html#E2:21"><i><font color="Green">E16</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:21"/>
 <a href="scm_comp.html#K15" target="_self">SCM-Compile</a> <span class="p1">(<span class="default"><a href="scm_comp.html#K3" target="_self">root-tree</a> <font color="Maroon">c<sub>10</sub></font></span>)</span>,<font color="Maroon">c<sub>11</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="lang1.html#K3">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K15">dl.</a> <font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="ami_3.html#K3">:=</a> <span class="p3">(<span class="default"><a href="scm_comp.html#K4" target="_self">@</a> <font color="Maroon">c<sub>10</sub></font></span>)</span></span>)</span></span><a href="lang1.html#K3">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="scm_comp.html#E2:21"><i><font color="Green">E16</font></i></a>, <a class="ref" href="scm_comp.html#D11" target="_self">Def11</a>, <a class="txt" href="scm_comp.html#E27"><i><font color="Green">Lemma14</font></i></a></i>;<br/>


</div>
