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<b>let </b><font color="Maroon">x1</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="vectsp_1.html#K3">F_Real</a> ;<br/><b>let </b><font color="Maroon">x2</font> be   <a href="real_1.html#NM1">Real</a>;<br/>



<b>assume </b><a NAME="E1:17"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">x1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x2</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">x3</font> = <font color="Maroon">x1</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a>  <b>by </b><i><a class="ref" href="vectsp_1.html#D15">VECTSP_1:def 15</a></i>;<br/>
<b>reconsider </b><font color="Maroon">x'</font> =  <a href="real_1.html#K1">-</a> <font color="Maroon">x2</font> as   <a href="struct_0.html#NM1">Element</a> of <a href="vectsp_1.html#K3">F_Real</a>  <b>by </b><i><a class="ref" href="vectsp_1.html#D15">VECTSP_1:def 15</a></i>;<br/>
<font color="Maroon">x1</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">x'</font> = 
<font color="Maroon">x3</font> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> <font color="Maroon">x2</font></span>)</span>
<b>by </b><i><a class="ref" href="matrixr1.html#T1">MATRIXR1:1</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <a href="vectsp_1.html#K3">F_Real</a> 
<b>by </b><i>, <a class="ref" href="vectsp_1.html#D15">VECTSP_1:def 15</a></i>
;<br/>
<b>hence </b><a NAME="E5:17"/>
 <a href="rlvect_1.html#K5">-</a> <font color="Maroon">x1</font> <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> <font color="Maroon">x2</font>
 <b>by </b><i><a class="ref" href="rlvect_1.html#D10">RLVECT_1:def 10</a></i>;<br/>


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