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<b>let </b><font color="Maroon" title="c1">z1</font>, <font color="Maroon" title="c2">z2</font> be  <a href="quaterni.html#V1" title="QUATERNI:attr.1">quaternion</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">z1</font> <a href="quaterni.html#K29" title="QUATERNI:func.29">-</a> <font color="Maroon" title="c2">z2</font></span>)</span></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><font color="Maroon" title="c1">z1</font></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><font color="Maroon" title="c2">z2</font></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span></span><br/>



<a NAME="E1:128"/>
<span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">z1</font> <a href="quaterni.html#K29" title="QUATERNI:func.29">-</a> <font color="Maroon" title="c2">z2</font></span>)</span></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><font color="Maroon" title="c1">z1</font></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><span class="p2">(<span class="default"><a href="quaterni.html#K28" title="QUATERNI:func.28">-</a> <font color="Maroon" title="c2">z2</font></span>)</span></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span>
 
<b>by </b><i><a class="ref" href="quaterni.html#T79" target="_self" title="QUATERNI:th.79">Th79</a></i>;<br/>
<b>hence </b><a NAME="E2:128"/>
<span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">z1</font> <a href="quaterni.html#K29" title="QUATERNI:func.29">-</a> <font color="Maroon" title="c2">z2</font></span>)</span></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><font color="Maroon" title="c1">z1</font></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1"><a href="quaterni.html#K32" title="QUATERNI:func.32">|.</a><span class="default"><font color="Maroon" title="c2">z2</font></span><a href="quaterni.html#K32" title="QUATERNI:func.32">.|</a></span>
 <b>by </b><i><a class="ref" href="quaterni.html#T72" target="_self" title="QUATERNI:th.72">Th72</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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