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

<b>set </b><font color="Maroon">NH</font> =  <a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">A</font> =  <a href="osafree.html#K23" target="_self">OSFreeGen</a> <font color="Maroon">s</font>,<font color="Maroon">X</font>;<br/>
<b>set </b><font color="Maroon">R</font> =  <a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font>;<br/>
<b>set </b><font color="Maroon">PTA</font> =  <a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font>;<br/>
<b>set </b><font color="Maroon">SPTA</font> = the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">NHs</font> =  <a href="osalg_4.html#K17">OSNat_Hom</a> <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">s</font>;<br/>
<b>set </b><font color="Maroon">D</font> =  <a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font>;<br/>
<a NAME="E1:80_1_1"/><i><font color="Green">E34</font></i>: 
<span class="p1">(<span class="default"><a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p2">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font> <a href="funct_2.html#R1">=</a>  <a href="osalg_4.html#K17">OSNat_Hom</a> <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">s</font>
 
<b>by </b><i><a class="ref" href="osalg_4.html#D24">OSALG_4:def 24</a></i>;<br/>
<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="hidden.html#M1">set</a> ,   <a href="hidden.html#M1">set</a> ] <b>means </b>for <font color="Olive">t</font> being  <a href="lang1.html#NM1">Symbol</a> of <span class="p1">(<span class="default"><a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span>  st <font color="Maroon">a<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p3">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p3">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <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">t</font></span>)</span> holds <br/><font color="Maroon">a<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="trees_4.html#K2">root-tree</a> <font color="Olive">t</font>;<br/>
<a NAME="E2:80_1_1"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">x</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="osafree.html#K23" target="_self">OSFreeGen</a> <font color="Maroon">s</font>,<font color="Maroon">X</font> holds <br/> ex <font color="Olive">a</font> being   <a href="hidden.html#M1">set</a>  st <br/>( <font color="Olive">a</font> <a href="hidden.html#R2">in</a>  <a href="osafree.html#K21" target="_self">PTVars</a> <font color="Maroon">s</font>,<font color="Maroon">X</font> &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">x</font>,<font color="Olive">a</font>] )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="80_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:80_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="osafree.html#K23" target="_self">OSFreeGen</a> <font color="Maroon">s</font>,<font color="Maroon">X</font>
 ;<br/>

<a NAME="E2:80_1_1_1"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p5">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p5">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p3">(<span class="default"><a href="trees_4.html#K2">root-tree</a> <font color="Olive">t</font></span>)</span></span>)</span> where <font color="Olive">t</font> is   <a href="lang1.html#NM1">Symbol</a> of <span class="p1">(<span class="default"><a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span> : ( <font color="Olive">t</font> <a href="hidden.html#R2">in</a>  <a href="dtconstr.html#K6">Terminals</a> <span class="p1">(<span class="default"><a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span> &amp; <font color="Olive">t</font> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> ) </span>}</span> 
 
<b>by </b><i><a class="ref" href="osafree.html#D4" target="_self">Def4</a></i>;<br/>
<b>then consider </b><font color="Maroon">t</font> being   <a href="lang1.html#NM1">Symbol</a> of <span class="p1">(<span class="default"><a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span><b> such that </b><br/><a NAME="E4:80_1_1_1"/><i><font color="Green">E37</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p3">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p3">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <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">t</font></span>)</span> &amp; <font color="Maroon">t</font> <a href="hidden.html#R2">in</a>  <a href="dtconstr.html#K6">Terminals</a> <span class="p1">(<span class="default"><a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span> &amp; <font color="Maroon">t</font> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> )
 ;<br/>
<b>consider </b><font color="Maroon">s1</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>, <font color="Maroon">a</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E6:80_1_1_1"/><i><font color="Green">E39</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s1</font> &amp; <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">a</font>,<font color="Maroon">s1</font></span><a href="tarski.html#K4">]</a></span> )
 <b>by </b><i>, </i>;<br/>
<a NAME="E7:80_1_1_1"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">s</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s1</font>
 
<b>by </b><i>, , <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>take </b>
 <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t</font>
;<br/>

<b>thus </b><a NAME="E8:80_1_1_1"/>
 <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t</font> <a href="hidden.html#R2">in</a>  <a href="osafree.html#K21" target="_self">PTVars</a> <font color="Maroon">s</font>,<font color="Maroon">X</font>
 <b>by </b><i>, , </i>;<br/>

<b>reconsider </b><font color="Maroon">rt</font> =  <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t</font> as    <a href="subset_1.html#M1">Element</a> of the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> <b>by </b><i>, , </i>;<br/>
<b>reconsider </b><font color="Maroon">tt</font> =  <a href="trees_4.html#K2">root-tree</a> <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="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span> <b>by </b><i>, </i>;<br/>
<a NAME="E11:80_1_1_1"/><i><font color="Green">E60</font></i>: 
 <a href="osafree.html#K25" target="_self">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">tt</font> <a href="hidden.html#R1">=</a>  <a href="osalg_4.html#K8">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">rt</font>
 
<b>by </b><i/>;<br/>
<a NAME="E12:80_1_1_1"/><i><font color="Green">E61</font></i>: 
 <a href="osafree.html#K25" target="_self">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">tt</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E13:80_1_1_1"/><i><font color="Green">E62</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="osalg_4.html#K17">OSNat_Hom</a> <span class="p2">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <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">t</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="osalg_4.html#D24">OSALG_4:def 24</a></i>;<br/>
<a NAME="E14:80_1_1_1"/><i><font color="Green">E64</font></i>: 
<span class="p1">(<span class="default"><a href="osalg_4.html#K17">OSNat_Hom</a> <span class="p2">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">rt</font> <a href="hidden.html#R1">=</a>  <a href="osalg_4.html#K8">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">rt</font>
 
<b>by </b><i><a class="ref" href="osalg_4.html#D23">OSALG_4:def 23</a></i>;<br/>
<a NAME="E15:80_1_1_1"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="txt" href="osafree.html#E11:80_1_1_1"><i><font color="Green">E60</font></i></a>, <a class="txt" href="osafree.html#E12:80_1_1_1"><i><font color="Green">E61</font></i></a>, <a class="txt" href="osafree.html#E13:80_1_1_1"><i><font color="Green">E62</font></i></a>, <a class="ref" href="osalg_4.html#D23">OSALG_4:def 23</a></i>;<br/>
<b>let </b><font color="Maroon">t1</font> be   <a href="lang1.html#NM1">Symbol</a> of <span class="p1">(<span class="default"><a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span>;<br/>

<b>assume </b><a NAME="E16:80_1_1_1"/><i><font color="Green">E67</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p3">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p3">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <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">t1</font></span>)</span>
 ;<br/>

<a NAME="E17:80_1_1_1"/><b>then </b><i><font color="Green">E68</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="osalg_4.html#K17">OSNat_Hom</a> <span class="p2">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <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">t1</font></span>)</span>
 
<b>by </b><i><a class="ref" href="osalg_4.html#D24">OSALG_4:def 24</a></i>;<br/>
<a NAME="E18:80_1_1_1"/>
 <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t1</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="osalg_4.html#K17">OSNat_Hom</a> <span class="p2">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">s</font></span>)</span>
 
<b>by </b><i><a class="ref" href="osafree.html#T2" target="_self">Th2</a>, <a class="txt" href="osafree.html#E14:80_1_1_1"><i><font color="Green">E64</font></i></a>, <a class="txt" href="osafree.html#E15:80_1_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="funct_1.html#D4">FUNCT_1:def 4</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">rt1</font> =  <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t1</font> as    <a href="subset_1.html#M1">Element</a> of the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> ;<br/>
<b>reconsider </b><font color="Maroon">tt2</font> = <font color="Maroon">rt1</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="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span> <b>by </b><i/>;<br/>
<a NAME="E21:80_1_1_1"/><i><font color="Green">E69</font></i>: 
 <a href="osalg_4.html#K8">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">rt1</font> <a href="hidden.html#R1">=</a>  <a href="osalg_4.html#K8">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">rt</font>
 
<b>by </b><i><a class="txt" href="osafree.html#E13:80_1_1_1"><i><font color="Green">E62</font></i></a>, , , <a class="ref" href="osalg_4.html#D23">OSALG_4:def 23</a></i>;<br/>
<a NAME="E22:80_1_1_1"/>
 <a href="osafree.html#K25" target="_self">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">tt2</font> <a href="hidden.html#R1">=</a>  <a href="osalg_4.html#K8">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">rt1</font>
 
<b>by </b><i/>;<br/>
<a NAME="E23:80_1_1_1"/><b>then </b>
<font color="Maroon">tt2</font> <a href="hidden.html#R2">in</a>  <a href="osafree.html#K25" target="_self">OSClass</a> <span class="p1">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">tt</font>
 
<b>by </b><i><a class="txt" href="osafree.html#E11:80_1_1_1"><i><font color="Green">E60</font></i></a>, <a class="txt" href="osafree.html#E16:80_1_1_1"><i><font color="Green">E67</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E24:80_1_1_1"/>
 <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t</font> <a href="hidden.html#R1">=</a>  <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t1</font>
 <b>by </b><i>, </i>;<br/>


</div><b>end;</b></div>
<b>consider </b><font color="Maroon">f</font> being   <a href="funct_1.html#NM1">Function</a><b> such that </b><br/><a NAME="E4:80_1_1"/><i><font color="Green">E70</font></i>: 
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a>  <a href="osafree.html#K23" target="_self">OSFreeGen</a> <font color="Maroon">s</font>,<font color="Maroon">X</font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font> <a href="tarski.html#R1">c=</a>  <a href="osafree.html#K21" target="_self">PTVars</a> <font color="Maroon">s</font>,<font color="Maroon">X</font> &amp; ( for <font color="Olive">x</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="osafree.html#K23" target="_self">OSFreeGen</a> <font color="Maroon">s</font>,<font color="Maroon">X</font> holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive">x</font>,<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Olive">x</font>] ) )
 <b>from </b><i><a class="ref" href="wellord2.html#S1">WELLORD2:sch 1</a>(<a class="ref" href="osafree.html#T3" target="_self">Th3</a>);<br/></i>
<b>reconsider </b><font color="Maroon">f</font> = <font color="Maroon">f</font> as   <a href="funct_2.html#NM1">Function</a> of  <a href="osafree.html#K23" target="_self">OSFreeGen</a> <font color="Maroon">s</font>,<font color="Maroon">X</font>, <a href="osafree.html#K21" target="_self">PTVars</a> <font color="Maroon">s</font>,<font color="Maroon">X</font> <b>by </b><i>, <a class="ref" href="funct_2.html#T4">FUNCT_2:4</a></i>;<br/>
<b>take </b>
<font color="Maroon">f</font>
;<br/>

<b>let </b><font color="Maroon">t</font> be   <a href="lang1.html#NM1">Symbol</a> of <span class="p1">(<span class="default"><a href="osafree.html#K2" target="_self">DTConOSA</a> <font color="Maroon">X</font></span>)</span>;<br/>

<b>assume </b><a NAME="E6:80_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p3">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p3">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <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">t</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="osafree.html#K23" target="_self">OSFreeGen</a> <font color="Maroon">s</font>,<font color="Maroon">X</font>
 ;<br/>

<b>hence </b><a NAME="E7:80_1_1"/>
<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="osalg_4.html#K18">OSNat_Hom</a> <span class="p4">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span>,<span class="p4">(<span class="default"><a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="trees_4.html#K2">root-tree</a> <font color="Maroon">t</font>
 <b>by </b><i/>;<br/>


</div>
