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<b>reconsider </b><font color="Maroon" title="c4">g'</font> = <font color="Maroon" title="c2">g</font>, <font color="Maroon" title="c5">h'</font> = <font color="Maroon" title="c3">h</font> as    <a href="comput_1.html#M1" title="COMPUT_1:mode.1">Element</a> of  <a href="comput_1.html#K10" title="COMPUT_1:func.10">PrimRec</a>  <b>by </b><i><a class="ref" href="comput_1.html#D19" target="_self" title="COMPUT_1:def.19">Def19</a></i>;<br/>
<a NAME="E2:163_1_1"/><i><font color="Green" title="E104">A1</font></i>: 
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c4">g'</font>,<font color="Maroon" title="c5">h'</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="comput_1.html#K10" title="COMPUT_1:func.10">PrimRec</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#D4" title="FINSEQ_1:def.4">FINSEQ_1:def 4</a></i>;<br/>
<a NAME="E3:163_1_1"/><b>then </b>
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">g</font>,<font color="Maroon" title="c3">h</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="comput_1.html#K4" title="COMPUT_1:func.4">HFuncs</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 
<b>by </b><i><a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c6">F</font> = <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">g</font>,<font color="Maroon" title="c3">h</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span> as  <a href="comput_1.html#V4" title="COMPUT_1:attr.4">with_the_same_arity</a>  <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="comput_1.html#K4" title="COMPUT_1:func.4">HFuncs</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <b>by </b><i><a class="ref" href="finseq_1.html#D4" title="FINSEQ_1:def.4">FINSEQ_1:def 4</a></i>;<br/>
<a NAME="E5:163_1_1"/><i><font color="Green" title="E105">A2</font></i>: 
( <font color="Maroon" title="c1">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="comput_1.html#K10" title="COMPUT_1:func.10">PrimRec</a>  &amp;  <a href="comput_1.html#K10" title="COMPUT_1:func.10">PrimRec</a>  is <a href="comput_1.html#V5" title="COMPUT_1:attr.5">composition_closed</a> )
 
<b>by </b><i><a class="ref" href="comput_1.html#D17" target="_self" title="COMPUT_1:def.17">Def17</a>, <a class="ref" href="comput_1.html#D19" target="_self" title="COMPUT_1:def.19">Def19</a></i>;<br/>
<a NAME="E6:163_1_1"/><b>then </b>
( <font color="Maroon" title="c1">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="comput_1.html#K4" title="COMPUT_1:func.4">HFuncs</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 &amp;  <a href="unialg_1.html#K3" title="UNIALG_1:func.3">arity</a> <font color="Maroon" title="c1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 )
 
<b>by </b><i><a class="ref" href="comput_1.html#D26" target="_self" title="COMPUT_1:def.26">Def26</a>, <a class="ref" href="finseq_1.html#T61" title="FINSEQ_1:th.61">FINSEQ_1:61</a></i>;<br/>
<b>hence </b><a NAME="E7:163_1_1"/>
<font color="Maroon" title="c1">f</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p1"><a href="funct_6.html#K6" title="FUNCT_6:func.6">&lt;:</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">g</font>,<font color="Maroon" title="c3">h</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span></span><a href="funct_6.html#K6" title="FUNCT_6:func.6">:&gt;</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="comput_1.html#K10" title="COMPUT_1:func.10">PrimRec</a> 
 <b>by </b><i><a class="txt" href="comput_1.html#E2:163_1_1"><i><font color="Green" title="E104">A1</font></i></a>, <a class="txt" href="comput_1.html#E5:163_1_1"><i><font color="Green" title="E105">A2</font></i></a>, <a class="ref" href="comput_1.html#D15" target="_self" title="COMPUT_1:def.15">Def15</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="comput_1.html#D19" target="_self" title="COMPUT_1:def.19">COMPUT_1:def 19</a><br/>


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