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<b>let </b><font color="Maroon">V</font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">w</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">u</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="real_1.html#NM1">Real</a>;<br/>











<b>assume </b><a NAME="E1:48"/><i><font color="Green">E45</font></i>: 
(  <a href="analmetr.html#R1">Gen</a> <font color="Maroon">w</font>,<font color="Maroon">y</font> &amp; <font color="Maroon">u</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">y</font></span>)</span> )
 ;<br/>

<a NAME="E2:48"/><b>then </b>
<font color="Maroon">u</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K2" target="_self">pr1</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K3" target="_self">pr2</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">y</font></span>)</span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:48"/>
( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="geomtrap.html#K2" target="_self">pr1</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<font color="Maroon">u</font> &amp; <font color="Maroon">b</font> <a href="hidden.html#R1">=</a>  <a href="geomtrap.html#K3" target="_self">pr2</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<font color="Maroon">u</font> )
 <b>by </b><i>, </i>;<br/>


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