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<div><span class="kw">theorem </span><a NAME="T57"><span class="comment"><font color="firebrick">:: QUATERNI:57</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>  st <span class="p1">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="quaterni.html#K22" title="QUATERNI:func.22">*</a> <font color="Olive" title="b2">z2</font></span>)</span> <a href="quaterni.html#K26" title="QUATERNI:func.26">*'</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="quaterni.html#K26" title="QUATERNI:func.26">*'</a></span>)</span> <a href="quaterni.html#K22" title="QUATERNI:func.22">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">z2</font> <a href="quaterni.html#K26" title="QUATERNI:func.26">*'</a></span>)</span> holds <br/><span class="p1">(<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#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><a href="quaterni.html#K15" title="QUATERNI:func.15">Im3</a> <font color="Olive" title="b2">z2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<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#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><a href="quaterni.html#K14" title="QUATERNI:func.14">Im2</a> <font color="Olive" title="b2">z2</font></span>)</span></div></div>
