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<b>let </b><font color="Maroon" title="c1">f</font> be   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <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="numbers.html#K5" title="NUMBERS:func.5">NAT</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">f</font> is <a href="valued_0.html#V6" title="VALUED_0:attr.6">to-naturals</a> &amp; <font color="Maroon" title="c1">f</font> is <a href="comput_1.html#V2" title="COMPUT_1:attr.2">from-natural-fseqs</a> )</span><br/>

<a NAME="E1:35_1_1"/>
 <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <font color="Maroon" title="c1">f</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> 
 
;<br/>
<b>hence </b><a NAME="E2:35_1_1"/>
( <font color="Maroon" title="c1">f</font> is <a href="valued_0.html#V6" title="VALUED_0:attr.6">to-naturals</a> &amp; <font color="Maroon" title="c1">f</font> is <a href="comput_1.html#V2" title="COMPUT_1:attr.2">from-natural-fseqs</a> )
 <b>by </b><i><a class="ref" href="comput_1.html#D2" target="_self" title="COMPUT_1:def.2">Def2</a></i>; <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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