<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: ANALMETR:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">w</font>, <font color="Olive" title="b3">y</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font> holds <br/> (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K2" title="ANALMETR:func.2">AMSpace</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">V</font> &amp;  the <a href="analoaf.html#U1" title="ANALOAF:sel.1">CONGR</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K2" title="ANALMETR:func.2">AMSpace</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="diraf.html#K1" title="DIRAF:func.1">lambda</a> <span class="p1">(<span class="default"><a href="analoaf.html#K1" title="ANALOAF:func.1">DirPar</a> <font color="Olive" title="b1">V</font></span>)</span> &amp;  the <a href="analmetr.html#U1" title="ANALMETR:sel.1">orthogonality</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K2" title="ANALMETR:func.2">AMSpace</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="analmetr.html#K1" title="ANALMETR:func.1">Orthogonality</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>) ) ;<br/></div></div>
