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<b>assume </b><a NAME="E1:52_1_1"/><i><font color="Green" title="E33">A1</font></i>: 
<font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quaterni.html#K28" title="QUATERNI:func.28">-</a> <font color="Maroon" title="c2">a</font></span><br/>

<b>reconsider </b><font color="Maroon" title="c3">x1</font> = <font color="Maroon" title="c1">x</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="quaterni.html#K1" title="QUATERNI:func.1">QUATERNION</a>  <b>by </b><i><a class="ref" href="quatern2.html#D11" target="_self" title="QUATERN2:def.11">Def13</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c4">b</font> =  <a href="quaterni.html#K28" title="QUATERNI:func.28">-</a> <font color="Maroon" title="c3">x1</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="quatern2.html#K15" title="QUATERN2:func.15">G_Quaternion</a>  <b>by </b><i><a class="ref" href="quatern2.html#D11" target="_self" title="QUATERN2:def.11">Def13</a></i>;<br/>
<a NAME="E4:52_1_1"/>
<font color="Maroon" title="c4">b</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Maroon" title="c1">x</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">G_Quaternion</a> 
 
<b>by </b><i><a class="ref" href="quatern2.html#T33" target="_self" title="QUATERN2:th.33">Th90</a>, <a class="ref" href="quaterni.html#D8" title="QUATERNI:def.8">QUATERNI:def 8</a></i>;<br/>
<b>hence </b><a NAME="E5:52_1_1"/>
 <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quaterni.html#K28" title="QUATERNI:func.28">-</a> <font color="Maroon" title="c2">a</font>
 <b>by </b><i><a class="txt" href="quatern2.html#E1:52_1_1"><i><font color="Green" title="E33">A1</font></i></a>, <a class="ref" href="rlvect_1.html#T19" title="RLVECT_1:th.19">RLVECT_1:19</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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