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<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: GEOMTRAP:45</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">u</font>, <font color="Olive" title="b3">v</font>, <font color="Olive" title="b4">w</font>, <font color="Olive" title="b5">y</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b6">a</font>, <font color="Olive" title="b7">b</font> being   <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="Olive" title="b1">V</font>,<font color="Olive" title="b4">w</font>,<font color="Olive" title="b5">y</font>)</span>)</span>  st  <a href="analmetr.html#R1" title="ANALMETR:pred.1">Gen</a> <font color="Olive" title="b4">w</font>,<font color="Olive" title="b5">y</font> &amp; <font color="Olive" title="b2">u</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">a</font> &amp; <font color="Olive" title="b3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">b</font> holds <br/><font color="Olive" title="b2">u</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Olive" title="b3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">a</font> <a href="geomtrap.html#K8" title="GEOMTRAP:func.8">#</a> <font color="Olive" title="b7">b</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="geomtrap.html#D8" target="_self" onmouseover="rs('geomtrap/D8')" onmouseout="rh()">Def8</a></span>;<br/></div></div>
