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<div><span class="kw">theorem </span><a NAME="T67"><span class="comment"><font color="firebrick">:: QUATERN3:67</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">z1</font>, <font color="Olive" title="b2">z2</font>, <font color="Olive" title="b3">z3</font>, <font color="Olive" title="b4">z4</font> being   <a href="quaterni.html#NM1" title="QUATERNI:NM.1">Quaternion</a> holds  <span class="p1">(<span class="default"><span class="p2">(<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> <a href="quaterni.html#K21" title="QUATERNI:func.21">+</a> <font color="Olive" title="b3">z3</font></span>)</span> <a href="quaterni.html#K22" title="QUATERNI:func.22">*</a> <font color="Olive" title="b4">z4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="quaterni.html#K22" title="QUATERNI:func.22">*</a> <font color="Olive" title="b4">z4</font></span>)</span> <a href="quaterni.html#K21" title="QUATERNI:func.21">+</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">z2</font> <a href="quaterni.html#K22" title="QUATERNI:func.22">*</a> <font color="Olive" title="b4">z4</font></span>)</span></span>)</span> <a href="quaterni.html#K21" title="QUATERNI:func.21">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">z3</font> <a href="quaterni.html#K22" title="QUATERNI:func.22">*</a> <font color="Olive" title="b4">z4</font></span>)</span></div></div>
