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<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: QUATERN3:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">z1</font>, <font color="Olive" title="b2">z2</font> being   <a href="quaterni.html#NM1" title="QUATERNI:NM.1">Quaternion</a> holds  <span class="p1"><a href="quaterni.html#K27" title="QUATERNI:func.27">|.</a><span class="default"><font color="Olive" title="b1">z1</font></span><a href="quaterni.html#K27" title="QUATERNI:func.27">.|</a></span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1"><a href="quaterni.html#K27" title="QUATERNI:func.27">|.</a><span class="default"><font color="Olive" title="b2">z2</font></span><a href="quaterni.html#K27" title="QUATERNI:func.27">.|</a></span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <span class="p1">(<span class="default"><span class="p2"><a href="quaterni.html#K27" title="QUATERNI:func.27">|.</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="quaterni.html#K21" title="QUATERNI:func.21">+</a> <font color="Olive" title="b2">z2</font></span>)</span></span><a href="quaterni.html#K27" title="QUATERNI:func.27">.|</a></span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2"><a href="quaterni.html#K27" title="QUATERNI:func.27">|.</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="quaterni.html#K24" title="QUATERNI:func.24">-</a> <font color="Olive" title="b2">z2</font></span>)</span></span><a href="quaterni.html#K27" title="QUATERNI:func.27">.|</a></span></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> 2</div></div>
