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<b>let </b><font color="Maroon">a</font> be  <a href="rlvect_1.html#V2">strict</a>  <a href="rlvect_1.html#L2">RLSStruct</a> , <font color="Maroon">b</font> be  <a href="rlvect_1.html#V2">strict</a>  <a href="rlvect_1.html#L2">RLSStruct</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:62_1_2"/><i><font color="Green">E36</font></i>: 
 <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">a</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">a</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">a</font> #) <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">V</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">V</font> #)
 <b>and </b><br/><a NAME="E2:62_1_2"/><i><font color="Green">E37</font></i>: 
for <font color="Olive">r</font> being  <a href="real_1.html#NM1">Real</a><br/> for <font color="Olive">v</font> being  <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font> holds  the <a href="rlvect_1.html#U2">Mult</a> of <font color="Maroon">a</font> <a href="binop_1.html#K1">.</a> <font color="Olive">r</font>,<font color="Olive">v</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="hahnban1.html#K1" target="_self">[**</a><span class="default"><font color="Olive">r</font>,0</span><a href="hahnban1.html#K1" target="_self">**]</a></span> <a href="vectsp_1.html#K6">*</a> <font color="Olive">v</font>
 <b>and </b><br/><a NAME="E3:62_1_2"/><i><font color="Green">E38</font></i>: 
 <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">b</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">b</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">b</font> #) <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">V</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">V</font> #)
 <b>and </b><br/><a NAME="E4:62_1_2"/><i><font color="Green">E39</font></i>: 
for <font color="Olive">r</font> being  <a href="real_1.html#NM1">Real</a><br/> for <font color="Olive">v</font> being  <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font> holds  the <a href="rlvect_1.html#U2">Mult</a> of <font color="Maroon">b</font> <a href="binop_1.html#K1">.</a> <font color="Olive">r</font>,<font color="Olive">v</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="hahnban1.html#K1" target="_self">[**</a><span class="default"><font color="Olive">r</font>,0</span><a href="hahnban1.html#K1" target="_self">**]</a></span> <a href="vectsp_1.html#K6">*</a> <font color="Olive">v</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="62_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">r</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>thus </b>the <a href="rlvect_1.html#U2">Mult</a> of <font color="Maroon">a</font> <a href="binop_1.html#K1">.</a> <font color="Maroon">r</font>,<font color="Maroon">v</font> = 
<span class="p1"><a href="hahnban1.html#K1" target="_self">[**</a><span class="default"><font color="Maroon">r</font>,0</span><a href="hahnban1.html#K1" target="_self">**]</a></span> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font>
<b>by </b><i><a class="ref" href="hahnban1.html#T5" target="_self">Th5</a></i>
<br/>.= 
the <a href="rlvect_1.html#U2">Mult</a> of <font color="Maroon">b</font> <a href="binop_1.html#K1">.</a> <font color="Maroon">r</font>,<font color="Maroon">v</font>
<b>by </b><i><a class="txt" href="hahnban1.html#E1:62_1_2"><i><font color="Green">E36</font></i></a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E6:62_1_2"/>
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="hahnban1.html#T4" target="_self">Th4</a>, , <a class="ref" href="binop_1.html#T2">BINOP_1:2</a></i>;<br/>


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