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<b>let </b><font color="Maroon">V</font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">u</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">u1</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">v1</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/>













<b>assume </b><a NAME="E1:30"/><i><font color="Green">E39</font></i>: 
 <a href="analmetr.html#R1">Gen</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>
 ;<br/>

<b>assume </b><a NAME="E2:30"/>
<font color="Maroon">u</font>,<font color="Maroon">u1</font>,<font color="Maroon">v</font>,<font color="Maroon">v1</font> <a href="analort.html#R2" target="_self">are_COrtm_wrt</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>
 ;<br/>

<a NAME="E3:30"/><b>then </b>
 <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">u</font>, <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">u1</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">v</font>,<font color="Maroon">v1</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:30"/><b>then </b>
<font color="Maroon">v</font>,<font color="Maroon">v1</font> <a href="analoaf.html#R1">//</a>  <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">u</font>, <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">u1</font>
 
<b>by </b><i><a class="ref" href="analoaf.html#T21">ANALOAF:21</a></i>;<br/>
<a NAME="E5:30"/><b>then </b>
 <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">v</font>, <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">v1</font> <a href="analoaf.html#R1">//</a>  <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<span class="p1">(<span class="default"><a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">u</font></span>)</span>, <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<span class="p1">(<span class="default"><a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">u1</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E6:30"/><b>then </b>
 <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">v</font>, <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">v1</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">u</font>, <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<span class="p1">(<span class="default"><a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">u1</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E7:30"/><b>then </b>
 <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">v</font>, <a href="analort.html#K2" target="_self">Ortm</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">v1</font> <a href="analoaf.html#R1">//</a> <font color="Maroon">u</font>,<font color="Maroon">u1</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E8:30"/>
<font color="Maroon">v</font>,<font color="Maroon">v1</font>,<font color="Maroon">u</font>,<font color="Maroon">u1</font> <a href="analort.html#R2" target="_self">are_COrtm_wrt</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>
 <b>by </b><i/>;<br/>


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