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

<b>let </b><font color="Maroon">F</font> be   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">K</font>,the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><font color="Maroon">V</font> <a href="lmod_7.html#K13" target="_self">.</a> <font color="Maroon">W</font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>,the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">V</font> <a href="lmod_7.html#K13" target="_self">.</a> <font color="Maroon">W</font></span>)</span>, <font color="Maroon">G</font> be   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">K</font>,the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><font color="Maroon">V</font> <a href="lmod_7.html#K13" target="_self">.</a> <font color="Maroon">W</font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>,the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">V</font> <a href="lmod_7.html#K13" target="_self">.</a> <font color="Maroon">W</font></span>)</span>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:51_1_2"/><i><font color="Green">E33</font></i>: 
for <font color="Olive">r</font> being  <a href="vectsp_1.html#NM3">Scalar</a> of <font color="Maroon">K</font><br/> for <font color="Olive">S</font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">V</font> <a href="lmod_7.html#K13" target="_self">.</a> <font color="Maroon">W</font></span>)</span> holds  <font color="Maroon">F</font> <a href="binop_1.html#K2">.</a> <font color="Olive">r</font>,<font color="Olive">S</font> <a href="hidden.html#R1">=</a> <font color="Olive">r</font> <a href="lmod_7.html#K15" target="_self">*</a> <font color="Olive">S</font>
 <b>and </b><br/><a NAME="E2:51_1_2"/><i><font color="Green">E51</font></i>: 
for <font color="Olive">r</font> being  <a href="vectsp_1.html#NM3">Scalar</a> of <font color="Maroon">K</font><br/> for <font color="Olive">S</font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">V</font> <a href="lmod_7.html#K13" target="_self">.</a> <font color="Maroon">W</font></span>)</span> holds  <font color="Maroon">G</font> <a href="binop_1.html#K2">.</a> <font color="Olive">r</font>,<font color="Olive">S</font> <a href="hidden.html#R1">=</a> <font color="Olive">r</font> <a href="lmod_7.html#K15" target="_self">*</a> <font color="Olive">S</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">r</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">S</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">V</font> <a href="lmod_7.html#K13" target="_self">.</a> <font color="Maroon">W</font></span>)</span>;<br/><b>thus </b><font color="Maroon">F</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">r</font>,<font color="Maroon">S</font> = 
<font color="Maroon">r</font> <a href="lmod_7.html#K15" target="_self">*</a> <font color="Maroon">S</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">G</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">r</font>,<font color="Maroon">S</font>
<b>by </b><i/>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:51_1_2"/>
<font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G</font>
 <b>by </b><i><a class="ref" href="binop_1.html#T2">BINOP_1:2</a></i>;<br/>


</div>
