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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> be   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font>;<br/><b>let </b><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font>, <font color="Maroon" title="c6">c</font>, <font color="Maroon" title="c7">d</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="geomtrap.html#K7" title="GEOMTRAP:func.7">DTrSpace</a> <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">w</font>,<font color="Maroon" title="c3">y</font></span>)</span>;<br/>













<b>assume </b><b>that </b><br/><a NAME="E1:88"/><i><font color="Green" title="E77">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>
 <b>and </b><br/><a NAME="E2:88"/><i><font color="Green" title="E78">A2</font></i>: 
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">c</font>,<font color="Maroon" title="c7">d</font>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c8">u</font> = <font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c9">v</font> = <font color="Maroon" title="c5">b</font>, <font color="Maroon" title="c10">u1</font> = <font color="Maroon" title="c6">c</font>, <font color="Maroon" title="c11">v1</font> = <font color="Maroon" title="c7">d</font> as   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font> ;<br/>
<a NAME="E4:88"/><i><font color="Green" title="E79">A3</font></i>: 
( <font color="Maroon" title="c4">a</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c6">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">u</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c10">u1</font> &amp; <font color="Maroon" title="c5">b</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c7">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">v</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">v1</font> )
 
<b>by </b><i><a class="ref" href="geomtrap.html#D8" target="_self" title="GEOMTRAP:def.8">Def8</a></i>;<br/>
<a NAME="E5:88"/>
<font color="Maroon" title="c8">u</font>,<font color="Maroon" title="c9">v</font>,<font color="Maroon" title="c10">u1</font>,<font color="Maroon" title="c11">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#E1:88"><i><font color="Green" title="E77">A1</font></i></a>, <a class="txt" href="geomtrap.html#E2:88"><i><font color="Green" title="E78">A2</font></i></a>, <a class="ref" href="geomtrap.html#T47" target="_self" title="GEOMTRAP:th.47">Th47</a></i>;<br/>
<a NAME="E6:88"/><b>then </b>
<font color="Maroon" title="c8">u</font>,<font color="Maroon" title="c9">v</font>,<font color="Maroon" title="c8">u</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c10">u1</font>,<font color="Maroon" title="c9">v</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">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#E1:88"><i><font color="Green" title="E77">A1</font></i></a>, <a class="ref" href="geomtrap.html#T28" target="_self" title="GEOMTRAP:th.28">Th28</a></i>;<br/>
<b>hence </b><a NAME="E7:88"/>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c6">c</font>,<font color="Maroon" title="c5">b</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c7">d</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:88"><i><font color="Green" title="E77">A1</font></i></a>, <a class="txt" href="geomtrap.html#E4:88"><i><font color="Green" title="E79">A3</font></i></a>, <a class="ref" href="geomtrap.html#T47" target="_self" title="GEOMTRAP:th.47">Th47</a></i>;<br/>


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