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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K4">INT</a> ] means  <a href="group_4.html#K3">Product</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">a<sub>1</sub></font></span>)</span> <a href="finsop_1.html#K1">|-&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_4.html#K4">|^</a> <font color="Maroon">a<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="group_1.html#K6">|^</a> <span class="p1">(<span class="default"><a href="gr_cy_1.html#K2" target="_self">Sum</a> <font color="Maroon">a<sub>1</sub></font></span>)</span>;<br/>
<a NAME="E1:10"/><i><font color="Green">E11</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="finseq_1.html#K6">&lt;*&gt;</a> <a href="numbers.html#K4">INT</a> ]
 
<b>by </b><i><a class="txt" href="gr_cy_1.html#E27"><i><font color="Green">Lemma8</font></i></a></i>;<br/>
<a NAME="E2:10"/><i><font color="Green">E12</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being   <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K4">INT</a> <br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K4">INT</a>  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font> <a href="finseq_1.html#K8">^</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font></span><a href="finseq_1.html#K12">*&gt;</a></span>]
 
<b>by </b><i><a class="txt" href="gr_cy_1.html#E28"><i><font color="Green">Lemma9</font></i></a></i>;<br/>
<a NAME="E3:10"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K4">INT</a>  holds <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>]
 
<b>from </b><i><a class="ref" href="finseq_2.html#S2">FINSEQ_2:sch 2</a>(<a class="txt" href="gr_cy_1.html#E1:10"><i><font color="Green">E11</font></i></a>, <a class="txt" href="gr_cy_1.html#E2:10"><i><font color="Green">E12</font></i></a>);<br/></i>
<b>hence </b><a NAME="E4:10"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K4">INT</a>  holds  <a href="group_4.html#K3">Product</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="finsop_1.html#K1">|-&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_4.html#K4">|^</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="group_1.html#K6">|^</a> <span class="p1">(<span class="default"><a href="gr_cy_1.html#K2" target="_self">Sum</a> <font color="Olive">b<sub>1</sub></font></span>)</span>
 ;<br/>


</div>
