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<div><span class="kw">theorem </span><a NAME="T34"><span class="comment"><font color="firebrick">:: DUALSP04:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a><br/>  for <font color="Olive" title="b2">M</font> being    <a href="rusub_1.html#M1" title="RUSUB_1:mode.1">Subspace</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y1</font>, <font color="Olive" title="b5">y2</font>, <font color="Olive" title="b6">z1</font>, <font color="Olive" title="b7">z2</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b4">y1</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b2">M</font> &amp; <font color="Olive" title="b5">y2</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b2">M</font> &amp; <font color="Olive" title="b6">z1</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a>  <a href="rusub_5.html#K2" title="RUSUB_5:func.2">Ort_Comp</a> <font color="Olive" title="b2">M</font> &amp; <font color="Olive" title="b7">z2</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a>  <a href="rusub_5.html#K2" title="RUSUB_5:func.2">Ort_Comp</a> <font color="Olive" title="b2">M</font> &amp; <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">y1</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Olive" title="b6">z1</font> &amp; <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">y2</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Olive" title="b7">z2</font> holds <br/>( <font color="Olive" title="b4">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">y2</font> &amp; <font color="Olive" title="b6">z1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">z2</font> )</div></div>
