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<b>let </b><font color="Maroon">CL</font> be   <a href="lattices.html#NM7">C_Lattice</a>;<br/><b>let </b><font color="Maroon">IL</font> be  <a href="filter_0.html#V3">implicative</a> <a href="lattices.html#NM1">Lattice</a>;<br/><b>let </b><font color="Maroon">f</font> be    <a href="lattice4.html#M1" target="_self">Homomorphism</a> of <font color="Maroon">IL</font>,<font color="Maroon">CL</font>;<br/><b>let </b><font color="Maroon">i</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">IL</font>;<br/><b>let </b><font color="Maroon">j</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">IL</font>;<br/>









<a NAME="E1:36"/>
<font color="Maroon">i</font> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">i</font> <a href="filter_0.html#K4">=&gt;</a> <font color="Maroon">j</font></span>)</span> <a href="lattices.html#R3">[=</a> <font color="Maroon">j</font>
 
<b>by </b><i><a class="ref" href="filter_0.html#D8">FILTER_0:def 8</a></i>;<br/>
<a NAME="E2:36"/><b>then </b>
<font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">i</font> <a href="lattices.html#K4">"/\"</a> <span class="p2">(<span class="default"><font color="Maroon">i</font> <a href="filter_0.html#K4">=&gt;</a> <font color="Maroon">j</font></span>)</span></span>)</span> <a href="lattices.html#R3">[=</a> <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">j</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:36"/>
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">i</font></span>)</span> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><font color="Maroon">i</font> <a href="filter_0.html#K4">=&gt;</a> <font color="Maroon">j</font></span>)</span></span>)</span> <a href="lattices.html#R3">[=</a> <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">j</font>
 <b>by </b><i/>;<br/>


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