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<span class="lab"><font color="Green" title="E11">A1</font></span>:  <a href="quaterni.html#K20" title="QUATERNI:func.20">Im3</a> <span class="p1">(<span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a>  <a href="quatern2.html#K8" title="QUATERN2:func.8">"</a> </span>)</span> = 
 <a href="real_1.html#K1" title="REAL_1:func.1">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="quaterni.html#K20" title="QUATERNI:func.20">Im3</a> <a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span>)</span> <a href="real_1.html#K10" title="REAL_1:func.10">/</a> <span class="p2">(<span class="default"><span class="p3"><a href="quatern2.html#K3" title="QUATERN2:func.3">|.</a><span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span><a href="quatern2.html#K3" title="QUATERN2:func.3">.|</a></span> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="quatern2.html#T29" title="QUATERN2:th.29">QUATERN2:29</a></span>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="quaterni.html#T29" title="QUATERNI:th.29">QUATERNI:29</a></span>
;<br/>
<span class="lab"><font color="Green" title="E12">A2</font></span>:  <a href="quaterni.html#K19" title="QUATERNI:func.19">Im2</a> <span class="p1">(<span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a>  <a href="quatern2.html#K8" title="QUATERN2:func.8">"</a> </span>)</span> = 
 <a href="real_1.html#K1" title="REAL_1:func.1">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="quaterni.html#K19" title="QUATERNI:func.19">Im2</a> <a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span>)</span> <a href="real_1.html#K10" title="REAL_1:func.10">/</a> <span class="p2">(<span class="default"><span class="p3"><a href="quatern2.html#K3" title="QUATERN2:func.3">|.</a><span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span><a href="quatern2.html#K3" title="QUATERN2:func.3">.|</a></span> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="quatern2.html#T29" title="QUATERN2:th.29">QUATERN2:29</a></span>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="quaterni.html#T29" title="QUATERNI:th.29">QUATERNI:29</a></span>
;<br/>
<span class="lab"><font color="Green" title="E13">A3</font></span>:  <a href="quaterni.html#K18" title="QUATERNI:func.18">Im1</a> <span class="p1">(<span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a>  <a href="quatern2.html#K8" title="QUATERN2:func.8">"</a> </span>)</span> = 
 <a href="real_1.html#K1" title="REAL_1:func.1">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="quaterni.html#K18" title="QUATERNI:func.18">Im1</a> <a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span>)</span> <a href="real_1.html#K10" title="REAL_1:func.10">/</a> <span class="p2">(<span class="default"><span class="p3"><a href="quatern2.html#K3" title="QUATERN2:func.3">|.</a><span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span><a href="quatern2.html#K3" title="QUATERN2:func.3">.|</a></span> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="quatern2.html#T29" title="QUATERN2:th.29">QUATERN2:29</a></span>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="quaterni.html#T29" title="QUATERNI:th.29">QUATERNI:29</a></span>
;<br/>
<span class="lab"><font color="Green" title="E14">A4</font></span>:  <a href="quaterni.html#K17" title="QUATERNI:func.17">Rea</a> <span class="p1">(<span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a>  <a href="quatern2.html#K8" title="QUATERN2:func.8">"</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="quaterni.html#K17" title="QUATERNI:func.17">Rea</a> <a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span>)</span> <a href="real_1.html#K10" title="REAL_1:func.10">/</a> <span class="p1">(<span class="default"><span class="p2"><a href="quatern2.html#K3" title="QUATERN2:func.3">|.</a><span class="default"><a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> </span><a href="quatern2.html#K3" title="QUATERN2:func.3">.|</a></span> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="quatern2.html#T29" title="QUATERN2:th.29">QUATERN2:29</a></span>
<br/>.= 
1
<span class="kw">by</span> <span class="lab"><a class="ref" href="quaterni.html#T29" title="QUATERNI:th.29">QUATERNI:29</a>, <a class="ref" href="quaterni.html#T68" title="QUATERNI:th.68">QUATERNI:68</a></span>
;<br/>
<a NAME="E5:50"/><span class="lab"><font color="Green" title="E15">A5</font></span>: 
<a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a>  <a href="quatern2.html#K8" title="QUATERN2:func.8">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="quaterni.html#K6" title="QUATERNI:func.6">[*</a><span class="default">1,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="quaterni.html#K6" title="QUATERNI:func.6">*]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:50"><span class="lab"><font color="Green" title="E14">A4</font></span></a>, <a class="txt" href="#E3:50"><span class="lab"><font color="Green" title="E13">A3</font></span></a>, <a class="txt" href="#E2:50"><span class="lab"><font color="Green" title="E12">A2</font></span></a>, <a class="txt" href="#E1:50"><span class="lab"><font color="Green" title="E11">A1</font></span></a>, <a class="ref" href="quaterni.html#T24" title="QUATERNI:th.24">QUATERNI:24</a></span>;<br/>
<span class="kw">thus </span><a NAME="E6:50"/>
<a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a>  <a href="quatern2.html#K8" title="QUATERN2:func.8">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quatern2.html#K2" title="QUATERN2:func.2">1q</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:50"><span class="lab"><font color="Green" title="E15">A5</font></span></a>, <a class="ref" href="quaterni.html#T24" title="QUATERNI:th.24">QUATERNI:24</a>, <a class="ref" href="quaterni.html#T29" title="QUATERNI:th.29">QUATERNI:29</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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