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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">z</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/><b>let </b><font color="Maroon">f</font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="finseq_1.html#K2">Seg</a> <font color="Maroon">i</font>, <a href="finseq_1.html#K2">Seg</a> <font color="Maroon">i</font>;<br/>







<b>assume </b><a NAME="E1:134"/><i><font color="Green">E45</font></i>: 
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K2">Seg</a> <font color="Maroon">i</font>
 ;<br/>

<a NAME="E2:134"/><i><font color="Green">E48</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:134"/><b>then </b><i><font color="Green">E63</font></i>: 
 <a href="finseq_1.html#K2">Seg</a> <font color="Maroon">i</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">z</font>
 
<b>by </b><i><a class="ref" href="finseq_1.html#D3">FINSEQ_1:def 3</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">t</font> = <font color="Maroon">z</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f</font> as    <a href="finseq_1.html#M2">FinSequence</a> of <font color="Maroon">D</font> <b>by </b><i/>;<br/>
<a NAME="E5:134"/>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">t</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">z</font>
 
<b>by </b><i><a class="ref" href="finseq_2.html#T36" target="_self">Th36</a>, <a class="ref" href="finseq_2.html#T40" target="_self">Th40</a>, </i>;<br/>
<b>hence </b><a NAME="E6:134"/>
<font color="Maroon">z</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f</font> is    <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>
 <b>by </b><i><a class="ref" href="finseq_2.html#T37" target="_self">Th37</a>, </i>;<br/>


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