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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="vectsp_2.html#NM7">RightMod</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>consider </b><font color="Maroon">c<sub>3</sub></font> being    <a href="finseq_1.html#M2">FinSequence</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E2:36"/>
<font color="Maroon">c<sub>3</sub></font> is <a href="funct_1.html#V2">one-to-one</a>
 <b>and </b><br/><a NAME="E3:36"/><i><font color="Green">E23</font></i>: 
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rmod_4.html#K2" target="_self">Carrier</a> <span class="p1">(<span class="default"><a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 <b>and </b><br/><a NAME="E4:36"/><i><font color="Green">E24</font></i>: 
 <a href="rmod_4.html#K5" target="_self">Sum</a> <span class="p1">(<span class="default"><a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K9">Sum</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="rmod_4.html#K4" target="_self">(#)</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="rmod_4.html#D9" target="_self">Def9</a></i>;<br/>
<a NAME="E5:36"/>
 <a href="rmod_4.html#K2" target="_self">Carrier</a> <span class="p1">(<span class="default"><a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="rmod_4.html#D6" target="_self">Def6</a></i>;<br/>
<a NAME="E6:36"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="txt" href="rmod_4.html#E3:36"><i><font color="Green">E23</font></i></a>, <a class="ref" href="finseq_1.html#T27">FINSEQ_1:27</a></i>;<br/>
<a NAME="E7:36"/><b>then </b>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="finseq_1.html#T25">FINSEQ_1:25</a></i>;<br/>
<a NAME="E8:36"/><b>then </b>
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="rmod_4.html#K4" target="_self">(#)</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="rmod_4.html#D8" target="_self">Def8</a></i>;<br/>
<b>hence </b><a NAME="E9:36"/>
 <a href="rmod_4.html#K5" target="_self">Sum</a> <span class="p1">(<span class="default"><a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="rmod_4.html#E4:36"><i><font color="Green">E24</font></i></a>, <a class="ref" href="rlvect_1.html#T94">RLVECT_1:94</a></i>;<br/>


</div>
