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<span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">x</font> is  <a href="comput_1.html#V7" title="COMPUT_1:attr.7">primitive-recursive</a>  implies ( <font color="Maroon" title="c1">x</font> is  <a href="margrel1.html#V2" title="MARGREL1:attr.2">homogeneous</a>  &amp; <font color="Maroon" title="c1">x</font> is  <a href="comput_1.html#NV2" title="COMPUT_1:NV.2">to-naturals</a>  &amp; <font color="Maroon" title="c1">x</font> is <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  ) )</span><br/>

<span class="kw">assume </span><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> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="comput_1.html#D16" target="_self" title="COMPUT_1:def.16">COMPUT_1:def 16</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">x</font> is  <a href="margrel1.html#V2" title="MARGREL1:attr.2">homogeneous</a>  &amp; <font color="Maroon" title="c1">x</font> is  <a href="comput_1.html#NV2" title="COMPUT_1:NV.2">to-naturals</a>  &amp; <font color="Maroon" title="c1">x</font> is <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  )</span><br/>

<span class="kw">hence </span><a NAME="E2:126_1_1"/>
( <font color="Maroon" title="c1">x</font> is  <a href="margrel1.html#V2" title="MARGREL1:attr.2">homogeneous</a>  &amp; <font color="Maroon" title="c1">x</font> is  <a href="comput_1.html#NV2" title="COMPUT_1:NV.2">to-naturals</a>  &amp; <font color="Maroon" title="c1">x</font> is <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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