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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">p</font>, <font color="Maroon" title="c5">q</font>, <font color="Maroon" title="c6">a</font>, <font color="Maroon" title="c7">a1</font>, <font color="Maroon" title="c8">b</font>, <font color="Maroon" title="c9">b1</font>, <font color="Maroon" title="c10">c</font>, <font color="Maroon" title="c11">c1</font>, <font color="Maroon" title="c12">d</font>, <font color="Maroon" title="c13">d1</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="E1:91"/><i><font color="Green" title="E80">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="E2:91"/><i><font color="Green" title="E81">A2</font></i>: 
<font color="Maroon" title="c4">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">q</font>
 <b>and </b><br/><a NAME="E3:91"/><i><font color="Green" title="E82">A3</font></i>: 
( <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">a1</font> &amp; <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">b</font>,<font color="Maroon" title="c9">b1</font> &amp; <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">c1</font> &amp; <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c13">d1</font> )
 <b>and </b><br/><a NAME="E4:91"/><i><font color="Green" title="E83">A4</font></i>: 
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c12">d</font>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c14">u</font> = <font color="Maroon" title="c4">p</font>, <font color="Maroon" title="c15">u'</font> = <font color="Maroon" title="c5">q</font>, <font color="Maroon" title="c16">u1</font> = <font color="Maroon" title="c6">a</font>, <font color="Maroon" title="c17">u2</font> = <font color="Maroon" title="c8">b</font>, <font color="Maroon" title="c18">v1</font> = <font color="Maroon" title="c10">c</font>, <font color="Maroon" title="c19">v2</font> = <font color="Maroon" title="c12">d</font>, <font color="Maroon" title="c20">t1</font> = <font color="Maroon" title="c7">a1</font>, <font color="Maroon" title="c21">t2</font> = <font color="Maroon" title="c9">b1</font>, <font color="Maroon" title="c22">w1</font> = <font color="Maroon" title="c11">c1</font>, <font color="Maroon" title="c23">w2</font> = <font color="Maroon" title="c13">d1</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="E6:91"/>
( <font color="Maroon" title="c14">u</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c15">u'</font> &amp; <font color="Maroon" title="c14">u</font>,<font color="Maroon" title="c15">u'</font>,<font color="Maroon" title="c16">u1</font>,<font color="Maroon" title="c20">t1</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> &amp; <font color="Maroon" title="c14">u</font>,<font color="Maroon" title="c15">u'</font>,<font color="Maroon" title="c17">u2</font>,<font color="Maroon" title="c21">t2</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> &amp; <font color="Maroon" title="c14">u</font>,<font color="Maroon" title="c15">u'</font>,<font color="Maroon" title="c18">v1</font>,<font color="Maroon" title="c22">w1</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> &amp; <font color="Maroon" title="c14">u</font>,<font color="Maroon" title="c15">u'</font>,<font color="Maroon" title="c19">v2</font>,<font color="Maroon" title="c23">w2</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> &amp; <font color="Maroon" title="c16">u1</font>,<font color="Maroon" title="c17">u2</font>,<font color="Maroon" title="c18">v1</font>,<font color="Maroon" title="c19">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> )
 
<b>by </b><i><a class="txt" href="geomtrap.html#E1:91"><i><font color="Green" title="E80">A1</font></i></a>, <a class="txt" href="geomtrap.html#E2:91"><i><font color="Green" title="E81">A2</font></i></a>, <a class="txt" href="geomtrap.html#E3:91"><i><font color="Green" title="E82">A3</font></i></a>, <a class="txt" href="geomtrap.html#E4:91"><i><font color="Green" title="E83">A4</font></i></a>, <a class="ref" href="geomtrap.html#T47" target="_self" title="GEOMTRAP:th.47">Th47</a></i>;<br/>
<a NAME="E7:91"/><b>then </b>
<font color="Maroon" title="c20">t1</font>,<font color="Maroon" title="c21">t2</font>,<font color="Maroon" title="c22">w1</font>,<font color="Maroon" title="c23">w2</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#E1:91"><i><font color="Green" title="E80">A1</font></i></a>, <a class="ref" href="geomtrap.html#T43" target="_self" title="GEOMTRAP:th.43">Th43</a></i>;<br/>
<b>hence </b><a NAME="E8:91"/>
<font color="Maroon" title="c7">a1</font>,<font color="Maroon" title="c9">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">c1</font>,<font color="Maroon" title="c13">d1</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:91"><i><font color="Green" title="E80">A1</font></i></a>, <a class="ref" href="geomtrap.html#T47" target="_self" title="GEOMTRAP:th.47">Th47</a></i>;<br/>


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