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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E30">Th24</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: QUATERNI:31</font></span><br/></a><div class="add">(  <a href="quaterni.html#K12" title="QUATERNI:func.12">Rea</a> <a href="quaterni.html#K10" title="QUATERNI:func.10">&lt;j&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="quaterni.html#K13" title="QUATERNI:func.13">Im1</a> <a href="quaterni.html#K10" title="QUATERNI:func.10">&lt;j&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="quaterni.html#K14" title="QUATERNI:func.14">Im2</a> <a href="quaterni.html#K10" title="QUATERNI:func.10">&lt;j&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  <a href="quaterni.html#K15" title="QUATERNI:func.15">Im3</a> <a href="quaterni.html#K10" title="QUATERNI:func.10">&lt;j&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="quaterni.html#K12" title="QUATERNI:func.12">Rea</a> <a href="quaterni.html#K11" title="QUATERNI:func.11">&lt;k&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="quaterni.html#K13" title="QUATERNI:func.13">Im1</a> <a href="quaterni.html#K11" title="QUATERNI:func.11">&lt;k&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="quaterni.html#K14" title="QUATERNI:func.14">Im2</a> <a href="quaterni.html#K11" title="QUATERNI:func.11">&lt;k&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="quaterni.html#K15" title="QUATERNI:func.15">Im3</a> <a href="quaterni.html#K11" title="QUATERNI:func.11">&lt;k&gt;</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 ) <span class="kw">by</span> <span class="lab"><a class="ref" href="quaterni.html#T23" target="_self" onmouseover="rs('quaterni/T23')" onmouseout="rh()">Th16</a></span>;<br/></div></div>
