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<b>let </b><font color="Maroon" title="c1">V</font> be   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">w</font>, <font color="Maroon" title="c3">y</font>, <font color="Maroon" title="c4">u</font>, <font color="Maroon" title="c5">u1</font>, <font color="Maroon" title="c6">v</font>, <font color="Maroon" title="c7">v1</font>, <font color="Maroon" title="c8">v2</font> be   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font>;<br/>















<b>assume </b><b>that </b><br/><a NAME="E1:38"/><i><font color="Green" title="E36">A1</font></i>: 
(  <a href="analmetr.html#R1" title="ANALMETR:pred.1">Gen</a> <font color="Maroon" title="c2">w</font>,<font color="Maroon" title="c3">y</font> &amp; <font color="Maroon" title="c4">u</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">u1</font> &amp; <font color="Maroon" title="c4">u</font>,<font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c6">v</font>,<font color="Maroon" title="c7">v1</font> <a href="geomtrap.html#R2" title="GEOMTRAP:pred.2">are_DTr_wrt</a> <font color="Maroon" title="c2">w</font>,<font color="Maroon" title="c3">y</font> )
 <b>and </b><br/><a NAME="E2:38"/><i><font color="Green" title="E37">A2</font></i>: 
( <font color="Maroon" title="c4">u</font>,<font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c6">v</font>,<font color="Maroon" title="c8">v2</font> <a href="geomtrap.html#R2" title="GEOMTRAP:pred.2">are_DTr_wrt</a> <font color="Maroon" title="c2">w</font>,<font color="Maroon" title="c3">y</font> or <font color="Maroon" title="c4">u</font>,<font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c8">v2</font>,<font color="Maroon" title="c6">v</font> <a href="geomtrap.html#R2" title="GEOMTRAP:pred.2">are_DTr_wrt</a> <font color="Maroon" title="c2">w</font>,<font color="Maroon" title="c3">y</font> )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="38_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:38_1"/>
<font color="Maroon" title="c4">u</font>,<font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c8">v2</font>,<font color="Maroon" title="c6">v</font> <a href="geomtrap.html#R2" title="GEOMTRAP:pred.2">are_DTr_wrt</a> <font color="Maroon" title="c2">w</font>,<font color="Maroon" title="c3">y</font>
 ;<br/><a NAME="E2:38_1"/><b>then </b>
<font color="Maroon" title="c8">v2</font>,<font color="Maroon" title="c6">v</font>,<font color="Maroon" title="c6">v</font>,<font color="Maroon" title="c7">v1</font> <a href="geomtrap.html#R2" title="GEOMTRAP:pred.2">are_DTr_wrt</a> <font color="Maroon" title="c2">w</font>,<font color="Maroon" title="c3">y</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:38"><i><font color="Green" title="E36">A1</font></i></a>, <a class="ref" href="geomtrap.html#T21" target="_self" title="GEOMTRAP:th.21">Th21</a></i>;<br/><a NAME="E3:38_1"/><b>then </b>
( <font color="Maroon" title="c6">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">v2</font> &amp; <font color="Maroon" title="c6">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">v1</font> )
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:38"><i><font color="Green" title="E36">A1</font></i></a>, <a class="ref" href="geomtrap.html#T20" target="_self" title="GEOMTRAP:th.20">Th20</a></i>;<br/><b>hence </b><a NAME="E4:38_1"/>
<font color="Maroon" title="c7">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">v2</font>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:38"/>
<font color="Maroon" title="c7">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">v2</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:38"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="geomtrap.html#E2:38"><i><font color="Green" title="E37">A2</font></i></a>, <a class="ref" href="geomtrap.html#T26" target="_self" title="GEOMTRAP:th.26">Th26</a></i>;<br/>


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