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<a NAME="E1:156_1_1"/><i><font color="Green">E48</font></i>: 
 <a href="comput_1.html#K3" target="_self">arity</a> <font color="Maroon">g</font> <a href="hidden.html#R1">=</a> 2
 
<b>by </b><i/>;<br/>
<a NAME="E2:156_1_1"/>
<font color="Maroon">g</font> is  non <a href="xboole_0.html#V1">empty</a> <a href="unialg_1.html#V2">quasi_total</a> <a href="comput_1.html#V4" target="_self">homogeneous</a> <a href="partfun1.html#NM1">PartFunc</a> of <a href="numbers.html#K5">NAT</a>  <a href="finseq_2.html#K3">*</a> , <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i/>;<br/>
<b>then consider </b><font color="Maroon">G</font> being  <a href="comput_1.html#V4" target="_self">homogeneous</a> <a href="partfun1.html#NM1">PartFunc</a> of <a href="numbers.html#K5">NAT</a>  <a href="finseq_2.html#K3">*</a> , <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E4:156_1_1"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">G</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g</font> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1"><a href="funct_6.html#K6">&lt;:</a><span class="default"><span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><span class="p3">(<span class="default">3 <a href="comput_1.html#K8" target="_self">proj</a> 1</span>)</span>,<span class="p3">(<span class="default">3 <a href="comput_1.html#K8" target="_self">proj</a> 3</span>)</span></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="funct_6.html#K6">:&gt;</a></span>
 <b>and </b><br/><a NAME="E5:156_1_1"/>
<font color="Maroon">G</font> is    <a href="rfunct_3.html#M2">Element</a> of  <a href="comput_1.html#K5" target="_self">HFuncs</a> <a href="numbers.html#K5">NAT</a> 
 <b>and </b><br/><a NAME="E6:156_1_1"/><i><font color="Green">E51</font></i>: 
 <a href="comput_1.html#K3" target="_self">arity</a> <font color="Maroon">G</font> <a href="hidden.html#R1">=</a> 3
 <b>and </b><br/><a NAME="E7:156_1_1"/><i><font color="Green">E52</font></i>: 
( <font color="Maroon">G</font> is <a href="unialg_1.html#V2">quasi_total</a> &amp; not <font color="Maroon">G</font> is <a href="xboole_0.html#V1">empty</a> )
 <b>by </b><i><a class="ref" href="comput_1.html#T21" target="_self">Th21</a>, </i>;<br/>
<b>reconsider </b><font color="Maroon">G'</font> = <font color="Maroon">G</font> as  non <a href="xboole_0.html#V1">empty</a> <a href="unialg_1.html#V2">quasi_total</a> <a href="comput_1.html#V4" target="_self">homogeneous</a> <a href="partfun1.html#NM1">PartFunc</a> of <a href="numbers.html#K5">NAT</a>  <a href="finseq_2.html#K3">*</a> , <a href="numbers.html#K5">NAT</a>  <b>by </b><i><a class="ref" href="comput_1.html#T24" target="_self">Th24</a></i>;<br/>
<a NAME="E9:156_1_1"/>
<font color="Maroon">G'</font> is  non <a href="xboole_0.html#V1">empty</a> <a href="seqm_3.html#V6">to-naturals</a> <a href="comput_1.html#V2" target="_self">from-natural-fseqs</a> <a href="comput_1.html#V3" target="_self">len-total</a> <a href="comput_1.html#V4" target="_self">homogeneous</a> <a href="comput_1.html#V13" target="_self">3-ary</a> <a href="funct_1.html#NM1">Function</a>
 
<b>by </b><i><a class="ref" href="comput_1.html#T23" target="_self">Th23</a>, </i>;<br/>
<b>hence </b><a NAME="E10:156_1_1"/>
( not  <a href="comput_1.html#K16" target="_self">(1,2)-&gt;(1,?,2)</a> <font color="Maroon">g</font> is <a href="xboole_0.html#V1">empty</a> &amp;  <a href="comput_1.html#K16" target="_self">(1,2)-&gt;(1,?,2)</a> <font color="Maroon">g</font> is <a href="comput_1.html#V13" target="_self">3-ary</a> &amp;  <a href="comput_1.html#K16" target="_self">(1,2)-&gt;(1,?,2)</a> <font color="Maroon">g</font> is <a href="comput_1.html#V3" target="_self">len-total</a> )
 <b>by </b><i><a class="ref" href="comput_1.html#T22" target="_self">Th22</a></i>;<br/>


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