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<b>consider </b><font color="Maroon" title="c1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>, <font color="Maroon" title="c2">x</font>, <font color="Maroon" title="c3">y</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font><b> such that </b><br/><a NAME="E2:25_1_1"/><i><font color="Green" title="E14">A1</font></i>: 
 <a href="analmetr.html#R1" title="ANALMETR:pred.1">Gen</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T7" title="ANALMETR:th.7">ANALMETR:7</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c4">AS</font> =  <a href="analort.html#K6" title="ANALORT:func.6">CESpace</a> <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> as   <a href="dirort.html#NM1" title="DIRORT:NM.1">Oriented_Orthogonality_Space</a> <b>by </b><i><a class="txt" href="dirort.html#E2:25_1_1"><i><font color="Green" title="E14">A1</font></i></a>, <a class="ref" href="dirort.html#T5" target="_self" title="DIRORT:th.5">Th5</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">AS</font>
;<br/>

<b>thus </b><a NAME="E4:25_1_1"/>
( <font color="Maroon" title="c4">AS</font> is <a href="dirort.html#V5" title="DIRORT:attr.5">Euclidean_like</a> &amp; <font color="Maroon" title="c4">AS</font> is <a href="dirort.html#V4" title="DIRORT:attr.4">left_transitive</a> &amp; <font color="Maroon" title="c4">AS</font> is <a href="dirort.html#V3" title="DIRORT:attr.3">right_transitive</a> &amp; <font color="Maroon" title="c4">AS</font> is <a href="dirort.html#V2" title="DIRORT:attr.2">bach_transitive</a> )
 <b>by </b><i><a class="txt" href="dirort.html#E2:25_1_1"><i><font color="Green" title="E14">A1</font></i></a>, <a class="ref" href="dirort.html#T15" target="_self" title="DIRORT:th.15">Th15</a></i>;<br/>


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