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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="quantal1.html#NM5">Girard-Quantale</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<a NAME="E1:62"/>
the <a href="quantal1.html#U1" target="_self">absurd</a> of <font color="Maroon">c<sub>1</sub></font> is <a href="quantal1.html#V18" target="_self">cyclic</a>
 
<b>by </b><i><a class="ref" href="quantal1.html#D19" target="_self">Def19</a></i>;<br/>
<a NAME="E2:62"/><b>then </b>
(  <a href="quantal1.html#K5" target="_self">Bottom</a> <span class="p1">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="quantal1.html#K1" target="_self">-r&gt;</a> <span class="p1">(<span class="default"><a href="quantal1.html#K3" target="_self">Bottom</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> &amp;  <a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="quantal1.html#K1" target="_self">-r&gt;</a> <span class="p1">(<span class="default"><a href="quantal1.html#K3" target="_self">Bottom</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> &amp;  <a href="quantal1.html#K3" target="_self">Bottom</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> the <a href="quantal1.html#U1" target="_self">absurd</a> of <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="quantal1.html#K2" target="_self">-l&gt;</a> the <a href="quantal1.html#U1" target="_self">absurd</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="quantal1.html#K1" target="_self">-r&gt;</a> the <a href="quantal1.html#U1" target="_self">absurd</a> of <font color="Maroon">c<sub>1</sub></font> &amp; the <a href="quantal1.html#U1" target="_self">absurd</a> of <font color="Maroon">c<sub>1</sub></font> is <a href="quantal1.html#V17" target="_self">dualizing</a> )
 
<b>by </b><i><a class="ref" href="quantal1.html#D18" target="_self">Def18</a>, <a class="ref" href="quantal1.html#D20" target="_self">Def20</a></i>;<br/>
<b>hence </b><a NAME="E3:62"/>
 <a href="quantal1.html#K5" target="_self">Bottom</a> <span class="p1">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="quantal1.html#D17" target="_self">Def17</a></i>;<br/>


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