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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: DUALSP06:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">y</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="dualsp01.html#K17" title="DUALSP01:func.17">DualSp</a> <font color="Olive" title="b1">V</font></span>)</span><br/>  for <font color="Olive" title="b4">a</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds  <font color="Olive" title="b2">x</font> <a href="dualsp06.html#K2" title="DUALSP06:func.2">.|.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">a</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">*</a> <font color="Olive" title="b3">y</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">x</font> <a href="dualsp06.html#K2" title="DUALSP06:func.2">.|.</a> <font color="Olive" title="b3">y</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="dualsp01.html#T30" onmouseover="rs('dualsp01/T30')" onmouseout="rh()">DUALSP01:30</a></span>;<br/></div></div>
