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<span class="kw">consider </span><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><span class="kw"> such that </span><br/><a NAME="E2:29_1_1"/><span class="lab"><font color="Green" title="E15">A1</font></span>: 
 <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>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="analmetr.html#T7" title="ANALMETR:th.7">ANALMETR:7</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c4">AS</font> =  <a href="analort.html#K7" title="ANALORT:func.7">CMSpace</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> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:29_1_1"><span class="lab"><font color="Green" title="E15">A1</font></span></a>, <a class="ref" href="dirort.html#T4" target="_self" title="DIRORT:th.4">Th4</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c4">AS</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">AS</font> is  <a href="dirort.html#V6" title="DIRORT:attr.6">Minkowskian_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>  )</span><br/>

<span class="kw">thus </span><a NAME="E4:29_1_1"/>
( <font color="Maroon" title="c4">AS</font> is  <a href="dirort.html#V6" title="DIRORT:attr.6">Minkowskian_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>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:29_1_1"><span class="lab"><font color="Green" title="E15">A1</font></span></a>, <a class="ref" href="dirort.html#T16" target="_self" title="DIRORT:th.16">Th16</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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