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<b>let </b><font color="Maroon" title="c1">e1</font>, <font color="Maroon" title="c2">e2</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/><b>let </b><font color="Maroon" title="c3">f1</font>, <font color="Maroon" title="c4">f2</font> be   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> ;<br/>



<b>assume </b><a NAME="E1:48"/>
(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">e1</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="Maroon" title="c2">e2</font> &amp; <font color="Maroon" title="c1">e1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">f1</font> &amp; <font color="Maroon" title="c2">e2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f2</font> )
 ;<br/>

<a NAME="E2:48"/><b>then </b>
 <a href="rvsum_1.html#K14" title="RVSUM_1:func.14">mlt</a> <font color="Maroon" title="c1">e1</font>,<font color="Maroon" title="c2">e2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fvsum_1.html#K11" title="FVSUM_1:func.11">mlt</a> <font color="Maroon" title="c3">f1</font>,<font color="Maroon" title="c4">f2</font>
 
<b>by </b><i><a class="ref" href="matrprob.html#T35" target="_self" title="MATRPROB:th.35">Th35</a></i>;<br/>
<b>hence </b><font color="Maroon" title="c1">e1</font> <a href="matrprob.html#NK7" title="MATRPROB:NK.7">"*"</a> <font color="Maroon" title="c2">e2</font> = 
 <a href="rlvect_1.html#K8" title="RLVECT_1:func.8">Sum</a> <span class="p1">(<span class="default"><a href="fvsum_1.html#K11" title="FVSUM_1:func.11">mlt</a> <font color="Maroon" title="c3">f1</font>,<font color="Maroon" title="c4">f2</font></span>)</span>
<b>by </b><i><a class="ref" href="matrprob.html#T36" target="_self" title="MATRPROB:th.36">Th36</a></i>
<br/>.= 
<font color="Maroon" title="c3">f1</font> <a href="fvsum_1.html#K13" title="FVSUM_1:func.13">"*"</a> <font color="Maroon" title="c4">f2</font>
<b>by </b><i><a class="ref" href="fvsum_1.html#D10" title="FVSUM_1:def.10">FVSUM_1:def 10</a></i>
;<br/><br/>


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