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<b>let </b><font color="Maroon" title="c2">o1</font>, <font color="Maroon" title="c3">o2</font> be   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of  <a href="rlvect_2.html#K11" title="RLVECT_2:func.11">LinComb</a> <font color="Maroon" title="c1">V</font>;<br/>

<b>assume </b><a NAME="E1:72_1_2"/><i><font color="Green" title="E42">A2</font></i>: 
for <font color="Olive" title="b1">e1</font>, <font color="Olive" title="b2">e2</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rlvect_2.html#K11" title="RLVECT_2:func.11">LinComb</a> <font color="Maroon" title="c1">V</font> holds  <font color="Maroon" title="c2">o1</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Olive" title="b1">e1</font>,<font color="Olive" title="b2">e2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Olive" title="b1">e1</font></span>)</span> <a href="rlvect_2.html#K7" title="RLVECT_2:func.7">+</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Olive" title="b2">e2</font></span>)</span>
 ;<br/>

<b>assume </b><a NAME="E2:72_1_2"/><i><font color="Green" title="E43">A3</font></i>: 
for <font color="Olive" title="b1">e1</font>, <font color="Olive" title="b2">e2</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rlvect_2.html#K11" title="RLVECT_2:func.11">LinComb</a> <font color="Maroon" title="c1">V</font> holds  <font color="Maroon" title="c3">o2</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Olive" title="b1">e1</font>,<font color="Olive" title="b2">e2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Olive" title="b1">e1</font></span>)</span> <a href="rlvect_2.html#K7" title="RLVECT_2:func.7">+</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Olive" title="b2">e2</font></span>)</span>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="72_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c4">e1</font>, <font color="Maroon" title="c5">e2</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rlvect_2.html#K11" title="RLVECT_2:func.11">LinComb</a> <font color="Maroon" title="c1">V</font>;<br/><b>thus </b><font color="Maroon" title="c2">o1</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Maroon" title="c4">e1</font>,<font color="Maroon" title="c5">e2</font> = 
<span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Maroon" title="c4">e1</font></span>)</span> <a href="rlvect_2.html#K7" title="RLVECT_2:func.7">+</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Maroon" title="c5">e2</font></span>)</span>
<b>by </b><i><a class="txt" href="rlvect_2.html#E1:72_1_2"><i><font color="Green" title="E42">A2</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c3">o2</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Maroon" title="c4">e1</font>,<font color="Maroon" title="c5">e2</font>
<b>by </b><i><a class="txt" href="rlvect_2.html#E2:72_1_2"><i><font color="Green" title="E43">A3</font></i></a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:72_1_2"/>
<font color="Maroon" title="c2">o1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">o2</font>
 <b>by </b><i><a class="ref" href="binop_1.html#T2" title="BINOP_1:th.2">BINOP_1:2</a></i>;<br/>


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