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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">u</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">v</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/>







<b>assume </b><a NAME="E1:16"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">u</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">y</font>,<font color="Maroon">v</font>
 ;<br/>

<b>set </b><font color="Maroon">p</font> = <font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font>;<br/>
<b>set </b><font color="Maroon">q</font> = <font color="Maroon">y</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">v</font>;<br/>
<a NAME="E2:16"/>
( <font color="Maroon">u</font>,<font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> &amp; <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">v</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">y</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">v</font>,<font color="Maroon">v</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:16"/><b>then </b>
( <font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">u</font>,<font color="Maroon">y</font> &amp; <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">v</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">y</font>,<font color="Maroon">v</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E4:16"/><b>then </b><i><font color="Green">E46</font></i>: 
( <font color="Maroon">u</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> &amp; <font color="Maroon">y</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">v</font> )
 
<b>by </b><i><a class="ref" href="analoaf.html#T21">ANALOAF:21</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="16_1"><b>now </b></a><div class="add"><b>assume </b><b>that </b><br/><a NAME="E1:16_1"/><i><font color="Green">E47</font></i>: 
<font color="Maroon">u</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">y</font>
 <b>and </b><br/><a NAME="E2:16_1"/><i><font color="Green">E67</font></i>: 
<font color="Maroon">y</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">v</font>
 ;<br/><a NAME="E3:16_1"/>
<font color="Maroon">y</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font>,<font color="Maroon">y</font>
 <b>by </b><i>, , , <a class="ref" href="analoaf.html#T20">ANALOAF:20</a></i>;<br/><b>hence </b><a NAME="E4:16_1"/>
<font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">v</font>
 <b>by </b><i>, , <a class="ref" href="analoaf.html#T20">ANALOAF:20</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E6:16"/>
<font color="Maroon">u</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">y</font>,<font color="Maroon">y</font> <a href="geomtrap.html#K1" target="_self">#</a> <font color="Maroon">v</font>
 <b>by </b><i><a class="ref" href="analoaf.html#T18">ANALOAF:18</a></i>;<br/>


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