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<b>let </b><font color="Maroon">it1</font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="dtconstr.html#K4" target="_self">TS</a> <a href="dtconstr.html#K5" target="_self">PeanoNat</a> , <a href="numbers.html#K5">NAT</a> , <font color="Maroon">it2</font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="dtconstr.html#K4" target="_self">TS</a> <a href="dtconstr.html#K5" target="_self">PeanoNat</a> , <a href="numbers.html#K5">NAT</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:46_1_2"/><i><font color="Green">E31</font></i>: 
( ( for <font color="Olive">t</font> being  <a href="lang1.html#NM1">Symbol</a> of <a href="dtconstr.html#K5" target="_self">PeanoNat</a>   st <font color="Olive">t</font> <a href="hidden.html#R2">in</a>  <a href="dtconstr.html#K6" target="_self">Terminals</a> <a href="dtconstr.html#K5" target="_self">PeanoNat</a>  holds <br/><font color="Maroon">it1</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">t</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">t</font>) ) &amp; ( for <font color="Olive">nt</font> being  <a href="lang1.html#NM1">Symbol</a> of <a href="dtconstr.html#K5" target="_self">PeanoNat</a> <br/> for <font color="Olive">ts</font> being   <a href="trees_4.html#M1">FinSequence</a> of  <a href="dtconstr.html#K4" target="_self">TS</a> <a href="dtconstr.html#K5" target="_self">PeanoNat</a>   st <font color="Olive">nt</font> <a href="lang1.html#R1">==&gt;</a>  <a href="dtconstr.html#K1" target="_self">roots</a> <font color="Olive">ts</font> holds <br/><font color="Maroon">it1</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">nt</font> <a href="trees_4.html#K12">-tree</a> <font color="Olive">ts</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>3</sub></font>(<font color="Olive">nt</font>, <a href="dtconstr.html#K1" target="_self">roots</a> <font color="Olive">ts</font>,<font color="Maroon">it1</font> <a href="finseqop.html#K5">*</a> <font color="Olive">ts</font>) ) )
 <b>and </b><br/><a NAME="E2:46_1_2"/><i><font color="Green">E32</font></i>: 
( ( for <font color="Olive">t</font> being  <a href="lang1.html#NM1">Symbol</a> of <a href="dtconstr.html#K5" target="_self">PeanoNat</a>   st <font color="Olive">t</font> <a href="hidden.html#R2">in</a>  <a href="dtconstr.html#K6" target="_self">Terminals</a> <a href="dtconstr.html#K5" target="_self">PeanoNat</a>  holds <br/><font color="Maroon">it2</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">t</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">t</font>) ) &amp; ( for <font color="Olive">nt</font> being  <a href="lang1.html#NM1">Symbol</a> of <a href="dtconstr.html#K5" target="_self">PeanoNat</a> <br/> for <font color="Olive">ts</font> being   <a href="trees_4.html#M1">FinSequence</a> of  <a href="dtconstr.html#K4" target="_self">TS</a> <a href="dtconstr.html#K5" target="_self">PeanoNat</a>   st <font color="Olive">nt</font> <a href="lang1.html#R1">==&gt;</a>  <a href="dtconstr.html#K1" target="_self">roots</a> <font color="Olive">ts</font> holds <br/><font color="Maroon">it2</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">nt</font> <a href="trees_4.html#K12">-tree</a> <font color="Olive">ts</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>3</sub></font>(<font color="Olive">nt</font>, <a href="dtconstr.html#K1" target="_self">roots</a> <font color="Olive">ts</font>,<font color="Maroon">it2</font> <a href="finseqop.html#K5">*</a> <font color="Olive">ts</font>) ) )
 ;<br/>

<b>thus </b><a NAME="E3:46_1_2"/>
<font color="Maroon">it1</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">it2</font>
 <b>from </b><i><a class="ref" href="dtconstr.html#S9" target="_self">DTCONSTR:sch 9</a>(<a class="txt" href="dtconstr.html#E1:46_1_2"><i><font color="Green">E31</font></i></a>, <a class="txt" href="dtconstr.html#E2:46_1_2"><i><font color="Green">E32</font></i></a>);</i><br/>


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