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<b>let </b><font color="Maroon" title="c1">z</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="quatern2.html#K16" title="QUATERN2:func.16">R_Quaternion</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">z</font> <a href="quatern2.html#K17" title="QUATERN2:func.17">*'</a>  <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#K16" title="QUATERN2:func.16">R_Quaternion</a>  implies <font color="Maroon" title="c1">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#K16" title="QUATERN2:func.16">R_Quaternion</a>  )</span><br/>

<b>assume </b><a NAME="E1:65"/>
<font color="Maroon" title="c1">z</font> <a href="quatern2.html#K17" title="QUATERN2:func.17">*'</a>  <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#K16" title="QUATERN2:func.16">R_Quaternion</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">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#K16" title="QUATERN2:func.16">R_Quaternion</a> </span><br/>

<a NAME="E2:65"/><b>then </b>
<font color="Maroon" title="c1">z</font> <a href="quatern2.html#K17" title="QUATERN2:func.17">*'</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quatern2.html#K1" title="QUATERN2:func.1">0q</a> 
 
<b>by </b><i><a class="ref" href="quatern2.html#D12" target="_self" title="QUATERN2:def.12">Def11</a></i>;<br/>
<a NAME="E3:65"/><b>then </b>
<font color="Maroon" title="c1">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quatern2.html#K1" title="QUATERN2:func.1">0q</a> 
 
<b>by </b><i><a class="ref" href="quaterni.html#T46" title="QUATERNI:th.46">QUATERNI:46</a></i>;<br/>
<b>hence </b><a NAME="E4:65"/>
<font color="Maroon" title="c1">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#K16" title="QUATERN2:func.16">R_Quaternion</a> 
 <b>by </b><i><a class="ref" href="quatern2.html#D12" target="_self" title="QUATERN2:def.12">Def11</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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