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<span class="kw">let </span><font color="Maroon" title="c1">x</font> be  <a href="numbers.html#NK1" title="NUMBERS:NK.1">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 href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="comput_1.html#V2" title="COMPUT_1:attr.2">len-total</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:136_1_1"/>
<font color="Maroon" title="c1">x</font> <a href="tarski.html#R2" title="TARSKI: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" onmouseover="rs('comput_1/D16')" onmouseout="rh()">COMPUT_1:def 16</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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#V2" title="COMPUT_1:attr.2">len-total</a> </span><br/>

<a NAME="E2:136_1_1"/><span class="kw">then </span>
<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/>
<span class="kw">hence </span><a NAME="E3:136_1_1"/>
<font color="Maroon" title="c1">x</font> is  <a href="comput_1.html#V2" title="COMPUT_1:attr.2">len-total</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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