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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th25</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: QUATERN3:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">z</font> being   <a href="quaterni.html#NM1" title="QUATERNI:NM.1">Quaternion</a> holds   <a href="quaterni.html#K13" title="QUATERNI:func.13">Im1</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p3">(<span class="default"><span class="p4"><a href="quaterni.html#K27" title="QUATERNI:func.27">|.</a><span class="default"><font color="Olive" title="b1">z</font></span><a href="quaterni.html#K27" title="QUATERNI:func.27">.|</a></span> <a href="square_1.html#K1" title="SQUARE_1:func.1">^2</a></span>)</span></span>)</span> <a href="quaterni.html#K20" title="QUATERNI:func.20">*</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">z</font> <a href="quaterni.html#K26" title="QUATERNI:func.26">*'</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p3">(<span class="default"><span class="p4"><a href="quaterni.html#K27" title="QUATERNI:func.27">|.</a><span class="default"><font color="Olive" title="b1">z</font></span><a href="quaterni.html#K27" title="QUATERNI:func.27">.|</a></span> <a href="square_1.html#K1" title="SQUARE_1:func.1">^2</a></span>)</span></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><a href="quaterni.html#K13" title="QUATERNI:func.13">Im1</a> <font color="Olive" title="b1">z</font></span>)</span></span>)</span></div></div>
