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







<b>thus </b><font color="Maroon">a</font> <a href="quantal1.html#K9" target="_self">delta</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">c</font></span>)</span> = 
 <a href="quantal1.html#K5" target="_self">Bottom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">a</font></span>)</span> <a href="monoid_0.html#NK3" target="_self">[*]</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K3">"\/"</a> <span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="quantal1.html#K5" target="_self">Bottom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">a</font></span>)</span> <a href="monoid_0.html#NK3" target="_self">[*]</a> <span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">b</font></span>)</span></span>)</span> <a href="lattices.html#K3">"\/"</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">a</font></span>)</span> <a href="monoid_0.html#NK3" target="_self">[*]</a> <span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="quantal1.html#K9" target="_self">delta</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="quantal1.html#K9" target="_self">delta</a> <font color="Maroon">c</font></span>)</span>
<b>by </b><i/>
;<br/>

<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">c</font></span>)</span> <a href="quantal1.html#K9" target="_self">delta</a> <font color="Maroon">a</font> = 
 <a href="quantal1.html#K5" target="_self">Bottom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">b</font></span>)</span> <a href="lattices.html#K3">"\/"</a> <span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c</font></span>)</span></span>)</span> <a href="monoid_0.html#NK3" target="_self">[*]</a> <span class="p2">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">a</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="quantal1.html#K5" target="_self">Bottom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">b</font></span>)</span> <a href="monoid_0.html#NK3" target="_self">[*]</a> <span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">a</font></span>)</span></span>)</span> <a href="lattices.html#K3">"\/"</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">c</font></span>)</span> <a href="monoid_0.html#NK3" target="_self">[*]</a> <span class="p3">(<span class="default"><a href="quantal1.html#K5" target="_self">Bottom</a> <font color="Maroon">a</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="quantal1.html#K9" target="_self">delta</a> <font color="Maroon">a</font></span>)</span> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="quantal1.html#K9" target="_self">delta</a> <font color="Maroon">a</font></span>)</span>
<b>by </b><i/>
;<br/>


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