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<b>let </b><font color="Maroon" title="c1">x</font> be   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">x</font> is <a href="comput_1.html#V8" title="COMPUT_1:attr.8">primitive-recursive</a> implies ( <font color="Maroon" title="c1">x</font> is <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a> &amp; <font color="Maroon" title="c1">x</font> is <a href="valued_0.html#V6" title="VALUED_0:attr.6">to-naturals</a> &amp; <font color="Maroon" title="c1">x</font> is <a href="comput_1.html#V2" title="COMPUT_1:attr.2">from-natural-fseqs</a> ) )</span><br/>

<b>assume </b><a NAME="E1:126_1_1"/>
<font color="Maroon" title="c1">x</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> 
 ; <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> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">x</font> is <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a> &amp; <font color="Maroon" title="c1">x</font> is <a href="valued_0.html#V6" title="VALUED_0:attr.6">to-naturals</a> &amp; <font color="Maroon" title="c1">x</font> is <a href="comput_1.html#V2" title="COMPUT_1:attr.2">from-natural-fseqs</a> )</span><br/>

<a NAME="E2:126_1_1"/><b>then </b>
<font color="Maroon" title="c1">x</font> is    <a href="comput_1.html#M1" title="COMPUT_1:mode.1">Element</a> of  <a href="comput_1.html#K9" title="COMPUT_1:func.9">PrimRec</a> 
 
;<br/>
<b>hence </b><a NAME="E3:126_1_1"/>
( <font color="Maroon" title="c1">x</font> is <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a> &amp; <font color="Maroon" title="c1">x</font> is <a href="valued_0.html#V6" title="VALUED_0:attr.6">to-naturals</a> &amp; <font color="Maroon" title="c1">x</font> is <a href="comput_1.html#V2" title="COMPUT_1:attr.2">from-natural-fseqs</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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