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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E53">Th34</font></span>: <a NAME="T34"><span class="comment"><font color="firebrick">:: GEOMTRAP:34</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>  st  <a href="analmetr.html#R1" title="ANALMETR:pred.1">Gen</a> <font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font> holds <br/> for <font color="Olive" title="b4">u</font>, <font color="Olive" title="b5">v</font>, <font color="Olive" title="b6">v1</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font> holds  2 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><a href="geomtrap.html#K4" title="GEOMTRAP:func.4">PProJ</a> (<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">u</font>,<span class="p2">(<span class="default"><font color="Olive" title="b5">v</font> <a href="geomtrap.html#K1" title="GEOMTRAP:func.1">#</a> <font color="Olive" title="b6">v1</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="geomtrap.html#K4" title="GEOMTRAP:func.4">PProJ</a> (<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">u</font>,<font color="Olive" title="b5">v</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="geomtrap.html#K4" title="GEOMTRAP:func.4">PProJ</a> (<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">u</font>,<font color="Olive" title="b6">v1</font>)</span>)</span></div></div>
