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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">RHS4</font></span>: <a NAME="T2"><span class="comment"><font color="firebrick">:: DUALSP04:2</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">x</font>, <font color="Olive" title="b3">y</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">x1</font>, <font color="Olive" title="b5">y1</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="dualsp04.html#K2" title="DUALSP04:func.2">RUSp2RNSp</a> <font color="Olive" title="b1">X</font></span>)</span>  st <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x1</font> &amp; <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">y1</font> holds <br/><font color="Olive" title="b2">x</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x1</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b5">y1</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="dualsp04.html#T1" target="_self" onmouseover="rs('dualsp04/T1')" onmouseout="rh()">RHS3</a></span>;<br/></div></div>
