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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: COMPLEX1:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">z</font> being   <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</a> holds <br/> ( <font color="Olive" title="b1">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  iff <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="complex1.html#K3" title="COMPLEX1:func.3">Re</a> <font color="Olive" title="b1">z</font></span>)</span> <a href="square_1.html#K1" title="SQUARE_1:func.1">^2</a></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="complex1.html#K4" title="COMPLEX1:func.4">Im</a> <font color="Olive" title="b1">z</font></span>)</span> <a href="square_1.html#K1" title="SQUARE_1:func.1">^2</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="complex1.html#T4" target="_self" onmouseover="rs('complex1/T4')" onmouseout="rh()">Th4</a>, <a class="ref" href="complex1.html#T1" target="_self" onmouseover="rs('complex1/T1')" onmouseout="rh()">Th1</a></span>;<br/></div></div>
