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

<b>set </b><font color="Maroon">A</font> =  <a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font>;<br/>
<b>set </b><font color="Maroon">D</font> = <span class="p1">(<span class="default"><a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">X</font>;<br/>
<a NAME="E1:20_1_1"/>
 <a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font> is <a href="dtconstr.html#V3">with_useful_nonterminals</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="20_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">s</font> be   <a href="lang1.html#NM1">Symbol</a> of <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="dtconstr.html#D8">DTCONSTR:def 8</a><br/>

<b>assume </b><a NAME="E1:20_1_1_1"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">s</font> <a href="hidden.html#R2">in</a>  <a href="dtconstr.html#K7">NonTerminals</a> <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span>
 ;<br/>

<b>set </b><font color="Maroon">e</font> =  <a href="lang1.html#K2">&lt;*&gt;</a> <span class="p1">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p2">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span>;<br/>
<a NAME="E2:20_1_1_1"/>
0 <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font>
 
<b>by </b><i/>;<br/>
<b>then consider </b><font color="Maroon">x</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E4:20_1_1_1"/><i><font color="Green">E49</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font> &amp; <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> 0 )
 <b>by </b><i><a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/>
<a NAME="E5:20_1_1_1"/><i><font color="Green">E50</font></i>: 
(  <a href="dtconstr.html#K7">NonTerminals</a> <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font> &amp; the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="lang1.html#K5">Terminals</a> <span class="p2">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="dtconstr.html#K7">NonTerminals</a> <span class="p2">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span> )
 
<b>by </b><i>, <a class="ref" href="lang1.html#T1">LANG1:1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">s0</font> = <font color="Maroon">x</font> as   <a href="lang1.html#NM1">Symbol</a> of <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span> <b>by </b><i/>;<br/>
<a NAME="E7:20_1_1_1"/>
 <a href="trees_3.html#K16">roots</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p2">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p3">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="lang1.html#K2">&lt;*&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">X</font></span>)</span>
 
<b>by </b><i><a class="ref" href="dtconstr.html#T3">DTCONSTR:3</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">re</font> =  <a href="trees_3.html#K16">roots</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p2">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p3">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span> as    <a href="finseq_2.html#M2">Element</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">X</font></span>)</span> <a href="finseq_2.html#K3">*</a>  ;<br/>
<a NAME="E9:20_1_1_1"/>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">re</font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="dtconstr.html#T3">DTCONSTR:3</a>, <a class="ref" href="finseq_1.html#T32">FINSEQ_1:32</a></i>;<br/>
<a NAME="E10:20_1_1_1"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">s0</font>,<span class="p2">(<span class="default"><a href="trees_3.html#K16">roots</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="lang1.html#U1">Rules</a> of <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E11:20_1_1_1"/><b>then </b>
<font color="Maroon">s0</font> <a href="lang1.html#R1">==&gt;</a>  <a href="trees_3.html#K16">roots</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p2">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p3">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="lang1.html#D1">LANG1:def 1</a></i>;<br/>
<a NAME="E12:20_1_1_1"/><b>then </b><i><font color="Green">E52</font></i>: 
<font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p2">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p3">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="dtconstr.html#K4">TS</a> <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span>
 
<b>by </b><i><a class="ref" href="dtconstr.html#D4">DTCONSTR:def 4</a></i>;<br/>
<a NAME="E13:20_1_1_1"/>
 <a href="dtconstr.html#K7">NonTerminals</a> <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font>
 
<b>by </b><i/>;<br/>
<a NAME="E14:20_1_1_1"/><b>then </b>
( <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font> <a href="tarski.html#R1">c=</a>  <a href="numbers.html#K5">NAT</a>  )
 
<b>by </b><i>, <a class="ref" href="finseq_1.html#D4">FINSEQ_1:def 4</a>, <a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">fs</font> = <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  ;<br/>
<b>set </b><font color="Maroon">p</font> = <font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p2">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p3">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p4">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<a NAME="E16:20_1_1_1"/><i><font color="Green">E53</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">fs</font>
 
<b>by </b><i><a class="ref" href="finseq_2.html#T69">FINSEQ_2:69</a></i>;<br/>
 <a href="finseq_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="trees_3.html#K16">roots</a> <span class="p2">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p4">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p5">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p0">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="finseq_1.html#K4">dom</a> <span class="p1">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="trees_3.html#D18">TREES_3:def 18</a></i>
<br/>.= 
 <a href="finseq_1.html#K2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p4">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p5">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p0">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="finseq_1.html#D3">FINSEQ_1:def 3</a></i>
;<br/>
<a NAME="E18:20_1_1_1"/><b>then </b><i><font color="Green">E56</font></i>: 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="trees_3.html#K16">roots</a> <span class="p2">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p4">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p5">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p0">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">fs</font>
 
<b>by </b><i>, <a class="ref" href="finseq_1.html#D3">FINSEQ_1:def 3</a></i>;<br/>
<b>reconsider </b><font color="Maroon">sd</font> = <font color="Maroon">s</font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">X</font> ;<br/>
<a NAME="E20:20_1_1_1"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="dtconstr.html#K4">TS</a> <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="20_1_1_1_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:20_1_1_1_2"/>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 ;<br/>

<b>then consider </b><font color="Maroon">n</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E3:20_1_1_1_2"/><i><font color="Green">E57</font></i>: 
( <font color="Maroon">n</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <span class="p1">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> )
 <b>by </b><i><a class="ref" href="finseq_2.html#T11">FINSEQ_2:11</a></i>;<br/>
<a NAME="E4:20_1_1_1_2"/>
 <a href="finseq_1.html#K4">dom</a> <span class="p1">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p3">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p4">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p5">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p4">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p5">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p0">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="finseq_1.html#D3">FINSEQ_1:def 3</a></i>;<br/>
<b>hence </b><a NAME="E5:20_1_1_1_2"/>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="dtconstr.html#K4">TS</a> <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="funcop_1.html#T13">FUNCOP_1:13</a></i>;<br/>


</div><b>end;</b></div>
<b>then reconsider </b><font color="Maroon">p</font> = <font color="Maroon">fs</font> <a href="finseq_2.html#K2">|-&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">s0</font> <a href="trees_4.html#K4">-tree</a> <span class="p2">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <span class="p3">(<span class="default"><a href="dtconstr.html#K4">TS</a> <span class="p4">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span></span>)</span></span>)</span></span>)</span> as    <a href="trees_4.html#M1">FinSequence</a> of  <a href="dtconstr.html#K4">TS</a> <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span> <b>by </b><i><a class="ref" href="finseq_1.html#D4">FINSEQ_1:def 4</a></i>;<br/>
<b>take </b>
<font color="Maroon">p</font>
;<br/>

<b>reconsider </b><font color="Maroon">p</font> = <font color="Maroon">p</font> as    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="trees_3.html#K5">FinTrees</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font></span>)</span> ;<br/>
<b>reconsider </b><font color="Maroon">rp</font> =  <a href="dtconstr.html#K1">roots</a> <font color="Maroon">p</font> as    <a href="finseq_2.html#M2">Element</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">X</font></span>)</span> <a href="finseq_2.html#K3">*</a>  <b>by </b><i><a class="ref" href="finseq_1.html#D11">FINSEQ_1:def 11</a></i>;<br/>
<a NAME="E24:20_1_1_1"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">sd</font>,<font color="Maroon">rp</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="freealg.html#K2" target="_self">REL</a> <font color="Maroon">f</font>,<font color="Maroon">X</font>
 
<b>by </b><i>, , , </i>;<br/>
<b>hence </b><a NAME="E25:20_1_1_1"/>
<font color="Maroon">s</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="lang1.html#D1">LANG1:def 1</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:20_1_1"/>
(  <a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font> is <a href="dtconstr.html#V2">with_nonterminals</a> &amp;  <a href="freealg.html#K3" target="_self">DTConUA</a> <font color="Maroon">f</font>,<font color="Maroon">X</font> is <a href="dtconstr.html#V3">with_useful_nonterminals</a> )
 ;<br/>


</div>
