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<b>let </b><font color="Maroon">L</font> be   <a href="lattices.html#NM1">Lattice</a>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>



<b>set </b><font color="Maroon">J</font> = the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L</font>;<br/>
<a NAME="E1:18"/><i><font color="Green">E25</font></i>: 
( the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L</font> is <a href="binop_1.html#V1">commutative</a> &amp; the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L</font> is <a href="binop_1.html#V2">associative</a> )
 
<b>by </b><i><a class="ref" href="lattice2.html#T27">LATTICE2:27</a>, <a class="ref" href="lattice2.html#T29">LATTICE2:29</a></i>;<br/>
<b>thus </b> <a href="lattice4.html#K1" target="_self">FinJoin</a> <span class="p1"><a href="setwiseo.html#K2">{.</a><span class="default"><font color="Maroon">p</font></span><a href="setwiseo.html#K2">.}</a></span> = 
the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L</font> <a href="setwiseo.html#K7">$$</a> <span class="p1"><a href="setwiseo.html#K2">{.</a><span class="default"><font color="Maroon">p</font></span><a href="setwiseo.html#K2">.}</a></span>,<span class="p1">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">L</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">L</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p</font>
<b>by </b><i>, <a class="ref" href="setwiseo.html#T26">SETWISEO:26</a></i>
<br/>.= 
<font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="tmap_1.html#T91">TMAP_1:91</a></i>
;<br/>


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