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<b>let </b><font color="Maroon">f</font> be  non <a href="xboole_0.html#V1">empty</a>  <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> , <font color="Maroon">g</font> be  non <a href="xboole_0.html#V1">empty</a>  <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> ;<br/><b>let </b><font color="Maroon">F</font> be  <a href="comput_1.html#V5" target="_self">with_the_same_arity</a>  <a href="finseq_1.html#M2">FinSequence</a> of  <a href="comput_1.html#K5" target="_self">HFuncs</a> <a href="numbers.html#K5">NAT</a> ;<br/>



<b>assume </b><a NAME="E1:86"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">g</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1"><a href="funct_6.html#K6">&lt;:</a><span class="default"><font color="Maroon">F</font></span><a href="funct_6.html#K6">:&gt;</a></span>
 ;<br/>

<a NAME="E2:86"/><i><font color="Green">E49</font></i>: 
 <a href="relset_1.html#K4">dom</a> <font color="Maroon">g</font> <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><a href="comput_1.html#K4" target="_self">arity</a> <font color="Maroon">F</font></span>)</span> <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i><a class="ref" href="comput_1.html#T5" target="_self">Th5</a>, <a class="txt" href="comput_1.html#E1:86"><i><font color="Green">E48</font></i></a></i>;<br/>
<b>consider </b><font color="Maroon">x</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E4:86"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <font color="Maroon">g</font>
 <b>by </b><i><a class="ref" href="xboole_0.html#D1">XBOOLE_0:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">x</font> = <font color="Maroon">x</font> as    <a href="finseq_2.html#M2">Element</a> of <span class="p1">(<span class="default"><a href="comput_1.html#K4" target="_self">arity</a> <font color="Maroon">F</font></span>)</span> <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K5">NAT</a>  <b>by </b><i><a class="txt" href="comput_1.html#E4:86"><i><font color="Green">E51</font></i></a>, </i>;<br/>
<a NAME="E6:86"/>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="comput_1.html#K4" target="_self">arity</a> <font color="Maroon">F</font>
 
<b>by </b><i><a class="ref" href="finseq_2.html#T109">FINSEQ_2:109</a></i>;<br/>
<b>hence </b><a NAME="E7:86"/>
 <a href="comput_1.html#K3" target="_self">arity</a> <font color="Maroon">g</font> <a href="hidden.html#R1">=</a>  <a href="comput_1.html#K4" target="_self">arity</a> <font color="Maroon">F</font>
 <b>by </b><i>, </i>;<br/>


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