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<b>set </b><font color="Maroon" title="c1">G</font> =  <a href="vectsp_1.html#K1" title="VECTSP_1:func.1">G_Real</a> ;<br/>
<b>let </b><font color="Maroon" title="c2">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="vectsp_1.html#K1" title="VECTSP_1:func.1">G_Real</a> ;<br/>

<b>assume </b><a NAME="E1:2"/><i><font color="Green" title="E3">A1</font></i>: 
<font color="Maroon" title="c2">a</font> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <a href="vectsp_1.html#K1" title="VECTSP_1:func.1">G_Real</a> 
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c3">a'</font> = <font color="Maroon" title="c2">a</font> as   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> ;<br/>
0 = 
<span class="p1">(<span class="default">1 <a href="binop_2.html#K11" title="BINOP_2:func.11">*</a> <font color="Maroon" title="c3">a'</font></span>)</span> <a href="binop_2.html#K9" title="BINOP_2:func.9">+</a> <font color="Maroon" title="c3">a'</font>
<b>by </b><i><a class="txt" href="tdgroup.html#E1:2"><i><font color="Green" title="E3">A1</font></i></a>, <a class="ref" href="binop_2.html#D9" title="BINOP_2:def.9">BINOP_2:def 9</a></i>
<br/>.= 
2 <a href="binop_2.html#K11" title="BINOP_2:func.11">*</a> <font color="Maroon" title="c3">a'</font>

;<br/>
<b>hence </b><a NAME="E4:2"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <a href="vectsp_1.html#K1" title="VECTSP_1:func.1">G_Real</a> 
 ;<br/>


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