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<div><span class="kw">theorem </span><a NAME="T92"><span class="comment"><font color="firebrick">:: QUATERNI:92</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  <font color="Olive" title="b1">z1</font> <a href="quaterni.html#K21" title="QUATERNI:func.21">+</a> <font color="Olive" title="b2">z2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="quaterni.html#K12" title="QUATERNI:func.12">Rea</a> <font color="Olive" title="b1">z1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p4">(<span class="default"><a href="quaterni.html#K12" title="QUATERNI:func.12">Rea</a> <font color="Olive" title="b2">z2</font></span>)</span></span>)</span> <a href="quaterni.html#K18" title="QUATERNI:func.18">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="quaterni.html#K13" title="QUATERNI:func.13">Im1</a> <font color="Olive" title="b1">z1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p5">(<span class="default"><a href="quaterni.html#K13" title="QUATERNI:func.13">Im1</a> <font color="Olive" title="b2">z2</font></span>)</span></span>)</span> <a href="quaterni.html#K20" title="QUATERNI:func.20">*</a> <a href="xcmplx_0.html#K1" title="XCMPLX_0:func.1">&lt;i&gt;</a></span>)</span></span>)</span> <a href="quaterni.html#K21" title="QUATERNI:func.21">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="quaterni.html#K14" title="QUATERNI:func.14">Im2</a> <font color="Olive" title="b1">z1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p4">(<span class="default"><a href="quaterni.html#K14" title="QUATERNI:func.14">Im2</a> <font color="Olive" title="b2">z2</font></span>)</span></span>)</span> <a href="quaterni.html#K20" title="QUATERNI:func.20">*</a> <a href="quaterni.html#K10" title="QUATERNI:func.10">&lt;j&gt;</a></span>)</span></span>)</span> <a href="quaterni.html#K21" title="QUATERNI:func.21">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quaterni.html#K15" title="QUATERNI:func.15">Im3</a> <font color="Olive" title="b1">z1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><a href="quaterni.html#K15" title="QUATERNI:func.15">Im3</a> <font color="Olive" title="b2">z2</font></span>)</span></span>)</span> <a href="quaterni.html#K20" title="QUATERNI:func.20">*</a> <a href="quaterni.html#K11" title="QUATERNI:func.11">&lt;k&gt;</a></span>)</span> <span class="kw">by</span> <span class="lab"><a class="txt" href="quaterni.html#E76"><span class="lab"><font color="Green" title="E42">Lm20</font></span></a></span>;<br/></div></div>
