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<span class="kw">let </span><font color="Maroon" title="c1">m</font>, <font color="Maroon" title="c2">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</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">  <a href="margrel1.html#K18" title="MARGREL1:func.18">arity</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">n</font> <a href="comput_1.html#K3" title="COMPUT_1:func.3">const</a> <font color="Maroon" title="c1">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">n</font></span><br/>



<span class="kw">set </span><font color="Maroon" title="c3">X</font> =  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> ;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">d</font> =  the    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c2">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>;<br/>
<a NAME="E1:60"/><span class="lab"><font color="Green" title="E33">A2</font></span>: 
 for <font color="Olive" title="b1">x</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>  st <font color="Olive" title="b1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">n</font> <a href="comput_1.html#K3" title="COMPUT_1:func.3">const</a> <font color="Maroon" title="c1">m</font></span>)</span> holds <br/><font color="Maroon" title="c2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">x</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_1.html#D7" onmouseover="rs('card_1/D7')" onmouseout="rh()">CARD_1:def 7</a></span>;<br/>
<a NAME="E2:60"/>
 the    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c2">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">n</font> <a href="comput_1.html#K3" title="COMPUT_1:func.3">const</a> <font color="Maroon" title="c1">m</font></span>)</span>
 
;<br/>
<span class="kw">hence </span><a NAME="E3:60"/>
 <a href="margrel1.html#K18" title="MARGREL1:func.18">arity</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">n</font> <a href="comput_1.html#K3" title="COMPUT_1:func.3">const</a> <font color="Maroon" title="c1">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">n</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:60"><span class="lab"><font color="Green" title="E33">A2</font></span></a>, <a class="ref" href="margrel1.html#D25" onmouseover="rs('margrel1/D25')" onmouseout="rh()">MARGREL1:def 25</a></span>; <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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