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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: CLVECT_2:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="csspace.html#NM1" title="CSSPACE:NM.1">ComplexUnitarySpace</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">w</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="b5">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b3">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="clvect_2.html#K4" title="CLVECT_2:func.4">Ball</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b5">r</font>) &amp; <font color="Olive" title="b4">w</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="clvect_2.html#K4" title="CLVECT_2:func.4">Ball</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b5">r</font>) holds <br/> <a href="csspace.html#K13" title="CSSPACE:func.13">dist</a> (<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">w</font>) <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> 2 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b5">r</font></div></div>
