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<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="nat_lat.html#K12" target="_self">NatPlus_Lattice</a> , <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="nat_lat.html#K12" target="_self">NatPlus_Lattice</a> ;<br/>

<b>set </b><font color="Maroon">l</font> = <font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">b</font>;<br/>
<a NAME="E1:41"/>
( <span class="p1">(<span class="default"><a href="nat_lat.html#K13" target="_self">@</a> <font color="Maroon">a</font></span>)</span> <a href="nat_1.html#K8">lcm</a> <span class="p1">(<span class="default"><a href="nat_lat.html#K13" target="_self">@</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">b</font> &amp;  <a href="nat_lat.html#K13" target="_self">@</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">b</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><font color="Maroon">a</font> <a href="lattices.html#K2">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lattices.html#K1">"\/"</a> <font color="Maroon">b</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="nat_lat.html#K13" target="_self">@</a> <font color="Maroon">a</font></span>)</span> <a href="nat_1.html#K10">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="nat_lat.html#K13" target="_self">@</a> <font color="Maroon">a</font></span>)</span> <a href="nat_1.html#K8">lcm</a> <span class="p2">(<span class="default"><a href="nat_lat.html#K13" target="_self">@</a> <font color="Maroon">b</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="nat_lat.html#D3" target="_self">Def3</a></i>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="newton.html#T67">NEWTON:67</a></i>
;<br/><br/>


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