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

<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>2</sub></font> as    <a href="comput_1.html#M1" target="_self">Element</a> of  <a href="comput_1.html#K11" target="_self">PrimRec</a>  <b>by </b><i><a class="ref" href="comput_1.html#D19" target="_self">Def19</a></i>;<br/>
<a NAME="E2:167_1_1"/><i><font color="Green">E106</font></i>: 
 <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="binarith.html#K13">*&gt;</a></span> <a href="tarski.html#R1">c=</a>  <a href="comput_1.html#K11" target="_self">PrimRec</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#D4">FINSEQ_1:def 4</a></i>;<br/>
<a NAME="E3:167_1_1"/><b>then </b>
 <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="finseq_1.html#K9">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="finseq_1.html#K9">*&gt;</a></span> <a href="tarski.html#R1">c=</a>  <a href="comput_1.html#K5" target="_self">HFuncs</a> <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i><a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>4</sub></font> = <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="binarith.html#K13">*&gt;</a></span> as  <a href="comput_1.html#V5" target="_self">with_the_same_arity</a>  <a href="finseq_1.html#M2">FinSequence</a> of  <a href="comput_1.html#K5" target="_self">HFuncs</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></i>;<br/>
<a NAME="E5:167_1_1"/><i><font color="Green">E107</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="comput_1.html#K11" target="_self">PrimRec</a>  &amp;  <a href="comput_1.html#K11" target="_self">PrimRec</a>  is <a href="comput_1.html#V6" target="_self">composition_closed</a> )
 
<b>by </b><i><a class="ref" href="comput_1.html#D17" target="_self">Def17</a>, <a class="ref" href="comput_1.html#D19" target="_self">Def19</a></i>;<br/>
<a NAME="E6:167_1_1"/><b>then </b>
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="comput_1.html#K5" target="_self">HFuncs</a> <a href="numbers.html#K5">NAT</a>  &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> 1 &amp;  <a href="comput_1.html#K3" target="_self">arity</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i><a class="ref" href="comput_1.html#D25" target="_self">Def25</a>, <a class="ref" href="finseq_1.html#T56">FINSEQ_1:56</a></i>;<br/>
<b>hence </b><a NAME="E7:167_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1"><a href="funct_6.html#K6">&lt;:</a><span class="default"><span class="p2"><a href="finseq_1.html#K9">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="finseq_1.html#K9">*&gt;</a></span></span><a href="funct_6.html#K6">:&gt;</a></span> <a href="hidden.html#R2">in</a>  <a href="comput_1.html#K11" target="_self">PrimRec</a> 
 <b>by </b><i><a class="txt" href="comput_1.html#E2:167_1_1"><i><font color="Green">E106</font></i></a>, <a class="txt" href="comput_1.html#E5:167_1_1"><i><font color="Green">E107</font></i></a>, <a class="ref" href="comput_1.html#D15" target="_self">Def15</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="comput_1.html#D19" target="_self">COMPUT_1:def 19</a><br/>


</div>
