<?xml version="1.0"?>
<div class="add">

<a NAME="E1:157_1_1"/><span class="lab"><font color="Green" title="E97">A1</font></span>: 
<font color="Maroon" title="c1">g</font> is  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a>   <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">quasi_total</a>  <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <span class="p1">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> </span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#T20" target="_self" title="COMPUT_1:th.20">Th20</a></span>;<br/>
<a NAME="E2:157_1_1"/>
 <a href="unialg_1.html#K3" title="UNIALG_1:func.3">arity</a> <font color="Maroon" title="c1">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#D26" target="_self" title="COMPUT_1:def.26">Def26</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c2">G</font> being   <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a>  <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <span class="p1">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> </span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <span class="kw"> such that </span><br/><a NAME="E4:157_1_1"/><span class="lab"><font color="Green" title="E98">A2</font></span>: 
<font color="Maroon" title="c2">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">g</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p1"><a href="funct_6.html#K6" title="FUNCT_6:func.6">&lt;:</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><span class="p3">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 1</span>)</span>,<span class="p3">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 3</span>)</span></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span></span><a href="funct_6.html#K6" title="FUNCT_6:func.6">:&gt;</a></span>
 <span class="kw">and </span><br/><a NAME="E5:157_1_1"/>
<font color="Maroon" title="c2">G</font> is    <a href="rfunct_3.html#M2" title="RFUNCT_3:mode.2">Element</a> of  <a href="comput_1.html#K2" title="COMPUT_1:func.2">HFuncs</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 <span class="kw">and </span><br/><a NAME="E6:157_1_1"/><span class="lab"><font color="Green" title="E99">A3</font></span>: 
 <a href="unialg_1.html#K3" title="UNIALG_1:func.3">arity</a> <font color="Maroon" title="c2">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 <span class="kw">and </span><br/><a NAME="E7:157_1_1"/><span class="lab"><font color="Green" title="E100">A4</font></span>: 
( <font color="Maroon" title="c2">G</font> is  <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">quasi_total</a>  &amp; not <font color="Maroon" title="c2">G</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:157_1_1"><span class="lab"><font color="Green" title="E97">A1</font></span></a>, <a class="txt" href="comput_1.html#E121"><span class="lab"><font color="Green" title="E96">Lm8</font></span></a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c3">G9</font> = <font color="Maroon" title="c2">G</font> as  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a>   <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">quasi_total</a>  <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <span class="p1">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> </span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:157_1_1"><span class="lab"><font color="Green" title="E100">A4</font></span></a></span>;<br/>
<a NAME="E9:157_1_1"/>
<font color="Maroon" title="c3">G9</font> is  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <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 href="comput_1.html#NV2" title="COMPUT_1:NV.2">to-naturals</a>   <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a>   <a href="comput_1.html#V2" title="COMPUT_1:attr.2">len-total</a>   <a href="comput_1.html#V11" title="COMPUT_1:attr.11">ternary</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:157_1_1"><span class="lab"><font color="Green" title="E99">A3</font></span></a>, <a class="ref" href="comput_1.html#D27" target="_self" title="COMPUT_1:def.27">Def27</a></span>;<br/>
<span class="kw">hence </span><a NAME="E10:157_1_1"/>
( not  <a href="comput_1.html#K14" title="COMPUT_1:func.14">(1,2)-&gt;(1,?,2)</a> <font color="Maroon" title="c1">g</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  <a href="comput_1.html#K14" title="COMPUT_1:func.14">(1,2)-&gt;(1,?,2)</a> <font color="Maroon" title="c1">g</font> is  <a href="comput_1.html#V11" title="COMPUT_1:attr.11">ternary</a>  &amp;  <a href="comput_1.html#K14" title="COMPUT_1:func.14">(1,2)-&gt;(1,?,2)</a> <font color="Maroon" title="c1">g</font> is  <a href="comput_1.html#V2" title="COMPUT_1:attr.2">len-total</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:157_1_1"><span class="lab"><font color="Green" title="E98">A2</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
