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<a NAME="E1:74_2_1"/>
 ex <font color="Olive">y1</font>, <font color="Olive">y2</font>, <font color="Olive">y3</font>, <font color="Olive">y4</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a>  st <br/>( <font color="Maroon">z'</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default"><font color="Olive">y1</font>,<font color="Olive">y2</font>,<font color="Olive">y3</font>,<font color="Olive">y4</font></span><a href="quaterni.html#K6" target="_self">*]</a></span> &amp; <font color="Maroon">x</font> <a href="quaterni.html#K25" target="_self">*</a> <font color="Maroon">z'</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K4">*</a> <font color="Olive">y1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K4">*</a> <font color="Olive">y2</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K4">*</a> <font color="Olive">y3</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K4">*</a> <font color="Olive">y4</font></span>)</span></span><a href="quaterni.html#K6" target="_self">*]</a></span> )
 
<b>by </b><i><a class="txt" href="quaterni.html#E8"><i><font color="Green">Lemma45</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:74_2_1"/>
<font color="Maroon">x</font> <a href="quaterni.html#K25" target="_self">*</a> <font color="Maroon">z'</font> <a href="hidden.html#R2">in</a>  <a href="quaterni.html#K1" target="_self">QUATERNION</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="quaterni.html#D2" target="_self">QUATERNI:def 2</a><br/>


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