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<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: QUATERN2:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="quatern2.html#K15" title="QUATERN2:func.15">R_Quaternion</a>  st <span class="p1"><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="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/><font color="Olive" title="b1">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="quatern2.html#K15" title="QUATERN2:func.15">R_Quaternion</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="quatern2.html#T39" target="_self" onmouseover="rs('quatern2/T39')" onmouseout="rh()">Th39</a>, <a class="ref" href="quaterni.html#T66" onmouseover="rs('quaterni/T66')" onmouseout="rh()">QUATERNI:66</a></span>;<br/></div></div>
