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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><a NAME="E1:85"/><i><font color="Green" title="E75">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>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c8">u</font> = <font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c9">u1</font> = <font color="Maroon" title="c5">b</font>, <font color="Maroon" title="c10">v</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/>
<b>set </b><font color="Maroon" title="c12">ab</font> = <font color="Maroon" title="c4">a</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c5">b</font>;<br/>
<b>set </b><font color="Maroon" title="c13">cd</font> = <font color="Maroon" title="c6">c</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c7">d</font>;<br/>
<b>set </b><font color="Maroon" title="c14">ac</font> = <font color="Maroon" title="c4">a</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c6">c</font>;<br/>
<b>set </b><font color="Maroon" title="c15">bd</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>;<br/>
<b>set </b><font color="Maroon" title="c16">uu1</font> = <font color="Maroon" title="c8">u</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c9">u1</font>;<br/>
<b>set </b><font color="Maroon" title="c17">vv1</font> = <font color="Maroon" title="c10">v</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">v1</font>;<br/>
<b>set </b><font color="Maroon" title="c18">uv</font> = <font color="Maroon" title="c8">u</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c10">v</font>;<br/>
<b>set </b><font color="Maroon" title="c19">u1v1</font> = <font color="Maroon" title="c9">u1</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">v1</font>;<br/>
<a NAME="E3:85"/><i><font color="Green" title="E76">A2</font></i>: 
( <font color="Maroon" title="c4">a</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c5">b</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="c9">u1</font> &amp; <font color="Maroon" title="c6">c</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="c10">v</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">v1</font> &amp; <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">v</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">u1</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">v1</font> )
 
<b>by </b><i><a class="txt" href="geomtrap.html#E1:85"><i><font color="Green" title="E75">A1</font></i></a>, <a class="ref" href="geomtrap.html#T48" target="_self" title="GEOMTRAP:th.48">Th48</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c5">b</font></span>)</span> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">c</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c7">d</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c8">u</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c9">u1</font></span>)</span> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">v</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">v1</font></span>)</span>
<b>by </b><i><a class="txt" href="geomtrap.html#E1:85"><i><font color="Green" title="E75">A1</font></i></a>, <a class="ref" href="geomtrap.html#T48" target="_self" title="GEOMTRAP:th.48">Th48</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c8">u</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c10">v</font></span>)</span> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">u1</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Maroon" title="c11">v1</font></span>)</span>
<b>by </b><i><a class="ref" href="geomtrap.html#T8" target="_self" title="GEOMTRAP:th.8">Th8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c6">c</font></span>)</span> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">b</font> <a href="geomtrap.html#K9" title="GEOMTRAP:func.9">#</a> <font color="Maroon" title="c7">d</font></span>)</span>
<b>by </b><i><a class="txt" href="geomtrap.html#E1:85"><i><font color="Green" title="E75">A1</font></i></a>, <a class="txt" href="geomtrap.html#E3:85"><i><font color="Green" title="E76">A2</font></i></a>, <a class="ref" href="geomtrap.html#T48" target="_self" title="GEOMTRAP:th.48">Th48</a></i>
;<br/><br/>


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