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

<b>set </b><font color="Maroon">G</font> =  <a href="vectsp_1.html#K1">G_Real</a> ;<br/>
<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="vectsp_1.html#K1">G_Real</a> ;<br/>

<b>reconsider </b><font color="Maroon">a</font> = <font color="Maroon">a</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a>  ;<br/>
<b>reconsider </b><font color="Maroon">b'</font> = <font color="Maroon">a</font> <a href="binop_2.html#K12">/</a> 2 as   <a href="real_1.html#NM1">Real</a> ;<br/>
<a NAME="E3:1"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b'</font> <a href="binop_2.html#K9">+</a> <font color="Maroon">b'</font>
 
;<br/>
<b>consider </b><font color="Maroon">b</font> being   <a href="struct_0.html#NM1">Element</a> of <a href="vectsp_1.html#K1">G_Real</a> <b> such that </b><br/><a NAME="E5:1"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b'</font>
 ;<br/>
<font color="Maroon">b</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">b</font> = 
<a href="binop_2.html#K33">addreal</a>  <a href="binop_1.html#K1">.</a> <font color="Maroon">b'</font>,<font color="Maroon">b'</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#D3">RLVECT_1:def 3</a>, </i>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i>, <a class="ref" href="binop_2.html#D9">BINOP_2:def 9</a></i>
;<br/>
<b>hence </b><a NAME="E7:1"/>
 ex <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <a href="vectsp_1.html#K1">G_Real</a>  st <font color="Olive">b</font> <a href="rlvect_1.html#K4">+</a> <font color="Olive">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font>
 ;<br/>


</div>
