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<a NAME="E1:148_1_1"/><span class="lab"><font color="Green" title="E92">A1</font></span>: 
<font color="Maroon" title="c2">g</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="comput_1.html#K9" title="COMPUT_1:func.9">PrimRec</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#D19" target="_self" title="COMPUT_1:def.19">Def19</a></span>;<br/>
<a NAME="E2:148_1_1"/><span class="lab"><font color="Green" title="E93">A2</font></span>: 
1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
 
;<br/>
<a NAME="E3:148_1_1"/><span class="lab"><font color="Green" title="E94">A3</font></span>: 
 <a href="unialg_1.html#K3" title="UNIALG_1:func.3">arity</a> <font color="Maroon" title="c2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#D27" target="_self" title="COMPUT_1:def.27">Def27</a></span>;<br/>
<a NAME="E4:148_1_1"/><span class="lab"><font color="Green" title="E95">A4</font></span>: 
 <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> 1
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#D25" target="_self" title="COMPUT_1:def.25">Def25</a></span>;<br/>
<a NAME="E5:148_1_1"/>
<font color="Maroon" title="c1">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="comput_1.html#K9" title="COMPUT_1:func.9">PrimRec</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#D19" target="_self" title="COMPUT_1:def.19">Def19</a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:148_1_1"/>
 <a href="comput_1.html#K7" title="COMPUT_1:func.7">primrec</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">g</font>,1 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="comput_1.html#K9" title="COMPUT_1:func.9">PrimRec</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:148_1_1"><span class="lab"><font color="Green" title="E93">A2</font></span></a>, <a class="txt" href="#E4:148_1_1"><span class="lab"><font color="Green" title="E95">A4</font></span></a>, <a class="txt" href="#E3:148_1_1"><span class="lab"><font color="Green" title="E94">A3</font></span></a>, <a class="txt" href="#E1:148_1_1"><span class="lab"><font color="Green" title="E92">A1</font></span></a>, <a class="ref" href="comput_1.html#T77" target="_self" title="COMPUT_1:th.77">Th77</a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="comput_1.html#D19" target="_self" title="COMPUT_1:def.19">COMPUT_1:def 19</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="comput_1.html#K7" title="COMPUT_1:func.7">primrec</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">g</font>,1 is  <a href="comput_1.html#V10" title="COMPUT_1:attr.10">binary</a> </span><br/>

<span class="kw">thus </span><a NAME="E7:148_1_1"/>
 <a href="unialg_1.html#K3" title="UNIALG_1:func.3">arity</a> <span class="p1">(<span class="default"><a href="comput_1.html#K7" title="COMPUT_1:func.7">primrec</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">g</font>,1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:148_1_1"><span class="lab"><font color="Green" title="E93">A2</font></span></a>, <a class="txt" href="#E4:148_1_1"><span class="lab"><font color="Green" title="E95">A4</font></span></a>, <a class="txt" href="#E3:148_1_1"><span class="lab"><font color="Green" title="E94">A3</font></span></a>, <a class="ref" href="comput_1.html#T61" target="_self" title="COMPUT_1:th.61">Th61</a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="comput_1.html#D26" target="_self" title="COMPUT_1:def.26">COMPUT_1:def 26</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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