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<b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">D</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">z1</font> be    <a href="finseq_2.html#M2" target="_self">Element</a> of <font color="Maroon">i</font> <a href="finseq_2.html#K4" target="_self">-tuples_on</a> <font color="Maroon">D</font>, <font color="Maroon">z2</font> be    <a href="finseq_2.html#M2" target="_self">Element</a> of <font color="Maroon">i</font> <a href="finseq_2.html#K4" target="_self">-tuples_on</a> <font color="Maroon">D</font>;<br/>





<a NAME="E1:139"/>
(  <a href="finseq_1.html#K3">len</a> <font color="Maroon">z1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">z2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:139"/>
( ( for <font color="Olive">j</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">j</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K2">Seg</a> <font color="Maroon">i</font> holds <br/><font color="Maroon">z1</font> <a href="funct_1.html#K1">.</a> <font color="Olive">j</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> <a href="funct_1.html#K1">.</a> <font color="Olive">j</font> ) implies <font color="Maroon">z1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> )
 <b>by </b><i/>;<br/>


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